1550619404.781 * [misc]progress: [Phase 1 of 3] Setting up. 1550619404.781 * * * [misc]progress: [1/2] Preparing points 1550619405.012 * * * [misc]progress: [2/2] Setting up program. 1550619405.015 * [misc]progress: [Phase 2 of 3] Improving. 1550619405.015 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1550619405.015 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1550619405.015 * * [misc]simplify: iters left: 6 (13 enodes) 1550619405.019 * * [misc]simplify: iters left: 5 (54 enodes) 1550619405.027 * * [misc]simplify: iters left: 4 (75 enodes) 1550619405.038 * * [misc]simplify: iters left: 3 (94 enodes) 1550619405.050 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619405.050 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619405.050 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619405.050 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619405.050 * * [misc]simplify: Extracting #4: cost 18 inf + 378 1550619405.051 * * [misc]simplify: Extracting #5: cost 6 inf + 1792 1550619405.051 * * [misc]simplify: Extracting #6: cost 1 inf + 3201 1550619405.052 * * [misc]simplify: Extracting #7: cost 0 inf + 3656 1550619405.053 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1550619405.053 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) 1550619405.061 * * [misc]progress: iteration 1 / 4 1550619405.061 * * * [misc]progress: picking best candidate 1550619405.072 * * * * [misc]pick: Picked # 1550619405.072 * * * [misc]progress: localizing error 1550619405.493 * * * [misc]progress: generating rewritten candidates 1550619405.493 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1550619405.497 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1550619405.499 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1550619405.507 * * * [misc]progress: generating series expansions 1550619405.507 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1550619405.507 * [misc]backup-simplify: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1550619405.507 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1550619405.507 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1550619405.507 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1550619405.507 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1550619405.507 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619405.507 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.507 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619405.507 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.507 * [misc]taylor: Taking taylor expansion of k in k 1550619405.507 * [misc]backup-simplify: Simplify 0 into 0 1550619405.507 * [misc]backup-simplify: Simplify 1 into 1 1550619405.507 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1550619405.507 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1550619405.507 * [misc]taylor: Taking taylor expansion of 2 in k 1550619405.507 * [misc]backup-simplify: Simplify 2 into 2 1550619405.507 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550619405.507 * [misc]taylor: Taking taylor expansion of n in k 1550619405.507 * [misc]backup-simplify: Simplify n into n 1550619405.507 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.507 * [misc]backup-simplify: Simplify PI into PI 1550619405.507 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550619405.507 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1550619405.508 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1550619405.508 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619405.508 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.508 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619405.508 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1550619405.508 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1550619405.508 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550619405.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550619405.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550619405.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619405.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.508 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619405.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.508 * [misc]taylor: Taking taylor expansion of k in n 1550619405.508 * [misc]backup-simplify: Simplify k into k 1550619405.508 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550619405.509 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619405.509 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.509 * [misc]backup-simplify: Simplify 2 into 2 1550619405.509 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619405.509 * [misc]taylor: Taking taylor expansion of n in n 1550619405.509 * [misc]backup-simplify: Simplify 0 into 0 1550619405.509 * [misc]backup-simplify: Simplify 1 into 1 1550619405.509 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.509 * [misc]backup-simplify: Simplify PI into PI 1550619405.509 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619405.509 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619405.509 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619405.510 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619405.510 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.510 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619405.510 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619405.510 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619405.511 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.511 * [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)))) 1550619405.512 * [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))))) 1550619405.512 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550619405.512 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550619405.512 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550619405.512 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619405.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.512 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619405.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.512 * [misc]taylor: Taking taylor expansion of k in n 1550619405.512 * [misc]backup-simplify: Simplify k into k 1550619405.512 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550619405.512 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619405.512 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.512 * [misc]backup-simplify: Simplify 2 into 2 1550619405.512 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619405.512 * [misc]taylor: Taking taylor expansion of n in n 1550619405.512 * [misc]backup-simplify: Simplify 0 into 0 1550619405.512 * [misc]backup-simplify: Simplify 1 into 1 1550619405.512 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.512 * [misc]backup-simplify: Simplify PI into PI 1550619405.512 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619405.512 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619405.513 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619405.513 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619405.513 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.513 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619405.513 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619405.514 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619405.514 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.514 * [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)))) 1550619405.515 * [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))))) 1550619405.515 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1550619405.515 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1550619405.515 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619405.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.515 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619405.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.515 * [misc]taylor: Taking taylor expansion of k in k 1550619405.515 * [misc]backup-simplify: Simplify 0 into 0 1550619405.515 * [misc]backup-simplify: Simplify 1 into 1 1550619405.515 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1550619405.515 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619405.515 * [misc]taylor: Taking taylor expansion of n in k 1550619405.515 * [misc]backup-simplify: Simplify n into n 1550619405.515 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619405.515 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550619405.515 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550619405.515 * [misc]taylor: Taking taylor expansion of 2 in k 1550619405.515 * [misc]backup-simplify: Simplify 2 into 2 1550619405.515 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.515 * [misc]backup-simplify: Simplify PI into PI 1550619405.515 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.516 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.516 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619405.516 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.516 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619405.517 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.517 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1550619405.517 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550619405.518 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550619405.518 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619405.519 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550619405.520 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619405.521 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1550619405.521 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.521 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.521 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.521 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1550619405.522 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619405.522 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.523 * [misc]backup-simplify: Simplify 0 into 0 1550619405.523 * [misc]backup-simplify: Simplify 0 into 0 1550619405.523 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550619405.523 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619405.525 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619405.525 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.525 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619405.525 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619405.525 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619405.526 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1550619405.527 * [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))))))) 1550619405.527 * [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))))))) 1550619405.529 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619405.529 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550619405.532 * [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 1550619405.532 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550619405.533 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.533 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.533 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550619405.535 * [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 1550619405.535 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.535 * [misc]backup-simplify: Simplify 0 into 0 1550619405.535 * [misc]backup-simplify: Simplify 0 into 0 1550619405.535 * [misc]backup-simplify: Simplify 0 into 0 1550619405.536 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550619405.537 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619405.541 * [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 1550619405.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619405.542 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.542 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550619405.544 * [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))))) 1550619405.547 * [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))))) 1550619405.551 * [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))))) 1550619405.552 * [misc]backup-simplify: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619405.552 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1550619405.552 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619405.552 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1550619405.552 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1550619405.552 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619405.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619405.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.552 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.552 * [misc]taylor: Taking taylor expansion of k in k 1550619405.552 * [misc]backup-simplify: Simplify 0 into 0 1550619405.552 * [misc]backup-simplify: Simplify 1 into 1 1550619405.552 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.552 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1550619405.552 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1550619405.552 * [misc]taylor: Taking taylor expansion of 2 in k 1550619405.552 * [misc]backup-simplify: Simplify 2 into 2 1550619405.552 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619405.552 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.553 * [misc]backup-simplify: Simplify PI into PI 1550619405.553 * [misc]taylor: Taking taylor expansion of n in k 1550619405.553 * [misc]backup-simplify: Simplify n into n 1550619405.553 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619405.553 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1550619405.553 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1550619405.553 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619405.553 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619405.553 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619405.553 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1550619405.554 * [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)))) 1550619405.554 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619405.554 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550619405.554 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550619405.554 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619405.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619405.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.554 * [misc]taylor: Taking taylor expansion of k in n 1550619405.554 * [misc]backup-simplify: Simplify k into k 1550619405.554 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.554 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550619405.554 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619405.554 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.554 * [misc]backup-simplify: Simplify 2 into 2 1550619405.554 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.554 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.554 * [misc]backup-simplify: Simplify PI into PI 1550619405.554 * [misc]taylor: Taking taylor expansion of n in n 1550619405.554 * [misc]backup-simplify: Simplify 0 into 0 1550619405.554 * [misc]backup-simplify: Simplify 1 into 1 1550619405.555 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.555 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.555 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.555 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619405.555 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619405.556 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619405.556 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.557 * [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))) 1550619405.557 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1550619405.557 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619405.557 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550619405.557 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550619405.557 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619405.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.557 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619405.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.558 * [misc]taylor: Taking taylor expansion of k in n 1550619405.558 * [misc]backup-simplify: Simplify k into k 1550619405.558 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.558 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550619405.558 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619405.558 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.558 * [misc]backup-simplify: Simplify 2 into 2 1550619405.558 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.558 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.558 * [misc]backup-simplify: Simplify PI into PI 1550619405.558 * [misc]taylor: Taking taylor expansion of n in n 1550619405.558 * [misc]backup-simplify: Simplify 0 into 0 1550619405.558 * [misc]backup-simplify: Simplify 1 into 1 1550619405.558 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.558 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.559 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.559 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619405.559 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619405.559 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619405.560 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.560 * [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))) 1550619405.561 * [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)))) 1550619405.561 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1550619405.561 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1550619405.561 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619405.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619405.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.561 * [misc]taylor: Taking taylor expansion of k in k 1550619405.561 * [misc]backup-simplify: Simplify 0 into 0 1550619405.561 * [misc]backup-simplify: Simplify 1 into 1 1550619405.561 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.561 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1550619405.561 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550619405.561 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550619405.561 * [misc]taylor: Taking taylor expansion of 2 in k 1550619405.561 * [misc]backup-simplify: Simplify 2 into 2 1550619405.561 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.561 * [misc]backup-simplify: Simplify PI into PI 1550619405.562 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.562 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.562 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619405.562 * [misc]taylor: Taking taylor expansion of n in k 1550619405.562 * [misc]backup-simplify: Simplify n into n 1550619405.562 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619405.562 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619405.563 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619405.563 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619405.563 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619405.563 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1550619405.564 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1550619405.565 * [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)))) 1550619405.565 * [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)))) 1550619405.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619405.567 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619405.569 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619405.569 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619405.570 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619405.570 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.570 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.570 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.571 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1550619405.572 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619405.572 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.572 * [misc]backup-simplify: Simplify 0 into 0 1550619405.573 * [misc]backup-simplify: Simplify 0 into 0 1550619405.573 * [misc]backup-simplify: Simplify 0 into 0 1550619405.585 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.586 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619405.590 * [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 1550619405.591 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.591 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619405.591 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.592 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.593 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1550619405.595 * [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 1550619405.595 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.595 * [misc]backup-simplify: Simplify 0 into 0 1550619405.595 * [misc]backup-simplify: Simplify 0 into 0 1550619405.595 * [misc]backup-simplify: Simplify 0 into 0 1550619405.595 * [misc]backup-simplify: Simplify 0 into 0 1550619405.597 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.599 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619405.605 * [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 1550619405.605 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.606 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619405.606 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.606 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.607 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.607 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1550619405.610 * [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 1550619405.611 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.611 * [misc]backup-simplify: Simplify 0 into 0 1550619405.611 * [misc]backup-simplify: Simplify 0 into 0 1550619405.611 * [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))))) 1550619405.612 * [misc]backup-simplify: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619405.612 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1550619405.612 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619405.612 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1550619405.612 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1550619405.612 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619405.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619405.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.612 * [misc]taylor: Taking taylor expansion of k in k 1550619405.612 * [misc]backup-simplify: Simplify 0 into 0 1550619405.612 * [misc]backup-simplify: Simplify 1 into 1 1550619405.612 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.612 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1550619405.612 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1550619405.612 * [misc]taylor: Taking taylor expansion of -2 in k 1550619405.612 * [misc]backup-simplify: Simplify -2 into -2 1550619405.612 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619405.612 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.612 * [misc]backup-simplify: Simplify PI into PI 1550619405.612 * [misc]taylor: Taking taylor expansion of n in k 1550619405.612 * [misc]backup-simplify: Simplify n into n 1550619405.612 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619405.612 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1550619405.613 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1550619405.613 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619405.613 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619405.613 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1550619405.613 * [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))) 1550619405.613 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619405.613 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550619405.613 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550619405.613 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619405.613 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619405.613 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.613 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.613 * [misc]taylor: Taking taylor expansion of k in n 1550619405.613 * [misc]backup-simplify: Simplify k into k 1550619405.613 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.613 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.614 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550619405.614 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619405.614 * [misc]taylor: Taking taylor expansion of -2 in n 1550619405.614 * [misc]backup-simplify: Simplify -2 into -2 1550619405.614 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.614 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.614 * [misc]backup-simplify: Simplify PI into PI 1550619405.614 * [misc]taylor: Taking taylor expansion of n in n 1550619405.614 * [misc]backup-simplify: Simplify 0 into 0 1550619405.614 * [misc]backup-simplify: Simplify 1 into 1 1550619405.614 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.615 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619405.615 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619405.615 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619405.615 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619405.616 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619405.617 * [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))) 1550619405.617 * [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)))) 1550619405.617 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619405.617 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550619405.617 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550619405.617 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619405.617 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619405.617 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.617 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.617 * [misc]taylor: Taking taylor expansion of k in n 1550619405.617 * [misc]backup-simplify: Simplify k into k 1550619405.617 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.618 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550619405.618 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619405.618 * [misc]taylor: Taking taylor expansion of -2 in n 1550619405.618 * [misc]backup-simplify: Simplify -2 into -2 1550619405.618 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.618 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.618 * [misc]backup-simplify: Simplify PI into PI 1550619405.618 * [misc]taylor: Taking taylor expansion of n in n 1550619405.618 * [misc]backup-simplify: Simplify 0 into 0 1550619405.618 * [misc]backup-simplify: Simplify 1 into 1 1550619405.618 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.618 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619405.619 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619405.619 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619405.619 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619405.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619405.620 * [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))) 1550619405.620 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1550619405.621 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1550619405.621 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1550619405.621 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619405.621 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619405.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.621 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.621 * [misc]taylor: Taking taylor expansion of k in k 1550619405.621 * [misc]backup-simplify: Simplify 0 into 0 1550619405.621 * [misc]backup-simplify: Simplify 1 into 1 1550619405.621 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.621 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1550619405.621 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1550619405.621 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1550619405.621 * [misc]taylor: Taking taylor expansion of -2 in k 1550619405.621 * [misc]backup-simplify: Simplify -2 into -2 1550619405.621 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.621 * [misc]backup-simplify: Simplify PI into PI 1550619405.622 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619405.622 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619405.622 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619405.622 * [misc]taylor: Taking taylor expansion of n in k 1550619405.622 * [misc]backup-simplify: Simplify n into n 1550619405.622 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619405.622 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619405.622 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619405.623 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619405.623 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1550619405.624 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1550619405.624 * [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)))) 1550619405.625 * [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)))) 1550619405.626 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619405.626 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550619405.629 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1550619405.629 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619405.629 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619405.629 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.630 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619405.630 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1550619405.632 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619405.632 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.632 * [misc]backup-simplify: Simplify 0 into 0 1550619405.632 * [misc]backup-simplify: Simplify 0 into 0 1550619405.632 * [misc]backup-simplify: Simplify 0 into 0 1550619405.633 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.634 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619405.638 * [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 1550619405.639 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.639 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619405.639 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.640 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619405.640 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1550619405.642 * [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 1550619405.643 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.643 * [misc]backup-simplify: Simplify 0 into 0 1550619405.643 * [misc]backup-simplify: Simplify 0 into 0 1550619405.643 * [misc]backup-simplify: Simplify 0 into 0 1550619405.643 * [misc]backup-simplify: Simplify 0 into 0 1550619405.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.645 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619405.652 * [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 1550619405.652 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.653 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619405.653 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.654 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619405.654 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1550619405.658 * [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 1550619405.658 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.658 * [misc]backup-simplify: Simplify 0 into 0 1550619405.658 * [misc]backup-simplify: Simplify 0 into 0 1550619405.658 * [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))))) 1550619405.658 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1550619405.659 * [misc]backup-simplify: Simplify (* (* n 2) PI) into (* 2 (* n PI)) 1550619405.659 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1550619405.659 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619405.659 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.659 * [misc]backup-simplify: Simplify 2 into 2 1550619405.659 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619405.659 * [misc]taylor: Taking taylor expansion of n in n 1550619405.659 * [misc]backup-simplify: Simplify 0 into 0 1550619405.659 * [misc]backup-simplify: Simplify 1 into 1 1550619405.659 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.659 * [misc]backup-simplify: Simplify PI into PI 1550619405.659 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619405.659 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.659 * [misc]backup-simplify: Simplify 2 into 2 1550619405.659 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619405.659 * [misc]taylor: Taking taylor expansion of n in n 1550619405.659 * [misc]backup-simplify: Simplify 0 into 0 1550619405.659 * [misc]backup-simplify: Simplify 1 into 1 1550619405.659 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.659 * [misc]backup-simplify: Simplify PI into PI 1550619405.659 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619405.660 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619405.660 * [misc]backup-simplify: Simplify 0 into 0 1550619405.660 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619405.661 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619405.661 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.662 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619405.663 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550619405.663 * [misc]backup-simplify: Simplify 0 into 0 1550619405.664 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619405.666 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550619405.666 * [misc]backup-simplify: Simplify 0 into 0 1550619405.668 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619405.669 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1550619405.669 * [misc]backup-simplify: Simplify 0 into 0 1550619405.672 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550619405.674 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1550619405.675 * [misc]backup-simplify: Simplify 0 into 0 1550619405.678 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550619405.680 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1550619405.680 * [misc]backup-simplify: Simplify 0 into 0 1550619405.684 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1550619405.688 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1550619405.688 * [misc]backup-simplify: Simplify 0 into 0 1550619405.688 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1550619405.688 * [misc]backup-simplify: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n)) 1550619405.688 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1550619405.688 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619405.688 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.688 * [misc]backup-simplify: Simplify 2 into 2 1550619405.688 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.688 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.688 * [misc]backup-simplify: Simplify PI into PI 1550619405.688 * [misc]taylor: Taking taylor expansion of n in n 1550619405.689 * [misc]backup-simplify: Simplify 0 into 0 1550619405.689 * [misc]backup-simplify: Simplify 1 into 1 1550619405.689 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.689 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619405.689 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.689 * [misc]backup-simplify: Simplify 2 into 2 1550619405.689 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.689 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.689 * [misc]backup-simplify: Simplify PI into PI 1550619405.689 * [misc]taylor: Taking taylor expansion of n in n 1550619405.689 * [misc]backup-simplify: Simplify 0 into 0 1550619405.689 * [misc]backup-simplify: Simplify 1 into 1 1550619405.689 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.690 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.690 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.691 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619405.691 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619405.691 * [misc]backup-simplify: Simplify 0 into 0 1550619405.692 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.693 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619405.693 * [misc]backup-simplify: Simplify 0 into 0 1550619405.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.696 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619405.696 * [misc]backup-simplify: Simplify 0 into 0 1550619405.697 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.698 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619405.698 * [misc]backup-simplify: Simplify 0 into 0 1550619405.700 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550619405.701 * [misc]backup-simplify: Simplify 0 into 0 1550619405.703 * [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 1550619405.704 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550619405.704 * [misc]backup-simplify: Simplify 0 into 0 1550619405.705 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1550619405.705 * [misc]backup-simplify: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n)) 1550619405.705 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1550619405.705 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619405.705 * [misc]taylor: Taking taylor expansion of -2 in n 1550619405.705 * [misc]backup-simplify: Simplify -2 into -2 1550619405.705 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.705 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.705 * [misc]backup-simplify: Simplify PI into PI 1550619405.705 * [misc]taylor: Taking taylor expansion of n in n 1550619405.705 * [misc]backup-simplify: Simplify 0 into 0 1550619405.705 * [misc]backup-simplify: Simplify 1 into 1 1550619405.705 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.705 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619405.705 * [misc]taylor: Taking taylor expansion of -2 in n 1550619405.705 * [misc]backup-simplify: Simplify -2 into -2 1550619405.705 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.705 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.705 * [misc]backup-simplify: Simplify PI into PI 1550619405.705 * [misc]taylor: Taking taylor expansion of n in n 1550619405.705 * [misc]backup-simplify: Simplify 0 into 0 1550619405.705 * [misc]backup-simplify: Simplify 1 into 1 1550619405.705 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.706 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619405.706 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619405.706 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619405.707 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550619405.707 * [misc]backup-simplify: Simplify 0 into 0 1550619405.708 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.708 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619405.708 * [misc]backup-simplify: Simplify 0 into 0 1550619405.709 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.710 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619405.710 * [misc]backup-simplify: Simplify 0 into 0 1550619405.711 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.712 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619405.712 * [misc]backup-simplify: Simplify 0 into 0 1550619405.713 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.716 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550619405.716 * [misc]backup-simplify: Simplify 0 into 0 1550619405.717 * [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 1550619405.719 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550619405.719 * [misc]backup-simplify: Simplify 0 into 0 1550619405.719 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1550619405.720 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1550619405.720 * [misc]backup-simplify: Simplify (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1550619405.720 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1550619405.720 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1550619405.720 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619405.720 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.720 * [misc]taylor: Taking taylor expansion of k in k 1550619405.720 * [misc]backup-simplify: Simplify 0 into 0 1550619405.720 * [misc]backup-simplify: Simplify 1 into 1 1550619405.720 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.720 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619405.721 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619405.721 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1550619405.721 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1550619405.721 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1550619405.721 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619405.721 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.721 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619405.721 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.721 * [misc]taylor: Taking taylor expansion of k in k 1550619405.721 * [misc]backup-simplify: Simplify 0 into 0 1550619405.721 * [misc]backup-simplify: Simplify 1 into 1 1550619405.721 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1550619405.721 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1550619405.721 * [misc]taylor: Taking taylor expansion of 2 in k 1550619405.721 * [misc]backup-simplify: Simplify 2 into 2 1550619405.721 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550619405.721 * [misc]taylor: Taking taylor expansion of n in k 1550619405.721 * [misc]backup-simplify: Simplify n into n 1550619405.721 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.721 * [misc]backup-simplify: Simplify PI into PI 1550619405.721 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550619405.721 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1550619405.721 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1550619405.721 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619405.721 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.721 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619405.721 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1550619405.721 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1550619405.721 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of k in n 1550619405.722 * [misc]backup-simplify: Simplify k into k 1550619405.722 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.722 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550619405.722 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619405.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550619405.722 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.722 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.722 * [misc]taylor: Taking taylor expansion of k in n 1550619405.722 * [misc]backup-simplify: Simplify k into k 1550619405.722 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.722 * [misc]backup-simplify: Simplify 2 into 2 1550619405.722 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619405.722 * [misc]taylor: Taking taylor expansion of n in n 1550619405.722 * [misc]backup-simplify: Simplify 0 into 0 1550619405.722 * [misc]backup-simplify: Simplify 1 into 1 1550619405.722 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.722 * [misc]backup-simplify: Simplify PI into PI 1550619405.722 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619405.722 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619405.723 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619405.723 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619405.723 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.723 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619405.724 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619405.724 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619405.724 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.724 * [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)))) 1550619405.726 * [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))))) 1550619405.726 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1550619405.726 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550619405.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.726 * [misc]taylor: Taking taylor expansion of k in n 1550619405.726 * [misc]backup-simplify: Simplify k into k 1550619405.726 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.726 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550619405.726 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619405.726 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550619405.726 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550619405.726 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550619405.726 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550619405.726 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619405.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.726 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619405.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.727 * [misc]taylor: Taking taylor expansion of k in n 1550619405.727 * [misc]backup-simplify: Simplify k into k 1550619405.727 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550619405.727 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619405.727 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.727 * [misc]backup-simplify: Simplify 2 into 2 1550619405.727 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619405.727 * [misc]taylor: Taking taylor expansion of n in n 1550619405.727 * [misc]backup-simplify: Simplify 0 into 0 1550619405.727 * [misc]backup-simplify: Simplify 1 into 1 1550619405.727 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.727 * [misc]backup-simplify: Simplify PI into PI 1550619405.727 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619405.727 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619405.728 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619405.729 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619405.729 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.729 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619405.729 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619405.729 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619405.730 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.731 * [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)))) 1550619405.731 * [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))))) 1550619405.732 * [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))) 1550619405.732 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1550619405.732 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1550619405.732 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1550619405.732 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619405.732 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.732 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619405.732 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.732 * [misc]taylor: Taking taylor expansion of k in k 1550619405.732 * [misc]backup-simplify: Simplify 0 into 0 1550619405.732 * [misc]backup-simplify: Simplify 1 into 1 1550619405.732 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1550619405.732 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619405.733 * [misc]taylor: Taking taylor expansion of n in k 1550619405.733 * [misc]backup-simplify: Simplify n into n 1550619405.733 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619405.733 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550619405.733 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550619405.733 * [misc]taylor: Taking taylor expansion of 2 in k 1550619405.733 * [misc]backup-simplify: Simplify 2 into 2 1550619405.733 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.733 * [misc]backup-simplify: Simplify PI into PI 1550619405.733 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.733 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.734 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619405.734 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.734 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619405.734 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.735 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1550619405.736 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550619405.736 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619405.736 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.736 * [misc]taylor: Taking taylor expansion of k in k 1550619405.736 * [misc]backup-simplify: Simplify 0 into 0 1550619405.736 * [misc]backup-simplify: Simplify 1 into 1 1550619405.736 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.736 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619405.737 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619405.737 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1550619405.737 * [misc]backup-simplify: Simplify 0 into 0 1550619405.738 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619405.739 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550619405.742 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619405.742 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1550619405.743 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.743 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.743 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.744 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1550619405.746 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619405.747 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1550619405.747 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.747 * [misc]backup-simplify: Simplify 0 into 0 1550619405.748 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550619405.748 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619405.751 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619405.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.752 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619405.752 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619405.752 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619405.753 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1550619405.754 * [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))))))) 1550619405.756 * [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))))))) 1550619405.757 * [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))))))) 1550619405.759 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619405.760 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550619405.765 * [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 1550619405.765 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550619405.765 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.765 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.766 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.766 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550619405.768 * [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 1550619405.768 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.768 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1550619405.769 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1550619405.769 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.769 * [misc]backup-simplify: Simplify 0 into 0 1550619405.769 * [misc]backup-simplify: Simplify 0 into 0 1550619405.769 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550619405.770 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619405.771 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550619405.771 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619405.774 * [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 1550619405.775 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.775 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619405.775 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.775 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.775 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550619405.777 * [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))))) 1550619405.780 * [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)))))))) 1550619405.781 * [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)))))))) 1550619405.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619405.784 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1550619405.788 * [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 1550619405.789 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1550619405.789 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.789 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.789 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619405.790 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1550619405.792 * [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 1550619405.792 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.793 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1550619405.793 * [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 1550619405.793 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.794 * [misc]backup-simplify: Simplify 0 into 0 1550619405.794 * [misc]backup-simplify: Simplify 0 into 0 1550619405.794 * [misc]backup-simplify: Simplify 0 into 0 1550619405.794 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.795 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619405.798 * [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 1550619405.799 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619405.807 * [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 1550619405.807 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.807 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619405.807 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.808 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1550619405.812 * [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))))))) 1550619405.819 * [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)))))))))))))) 1550619405.823 * [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)))))))))))))) 1550619405.829 * [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)))))))))))))))))))))) 1550619405.829 * [misc]backup-simplify: Simplify (/ (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619405.829 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1550619405.829 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619405.829 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619405.829 * [misc]taylor: Taking taylor expansion of k in k 1550619405.829 * [misc]backup-simplify: Simplify 0 into 0 1550619405.829 * [misc]backup-simplify: Simplify 1 into 1 1550619405.830 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619405.830 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619405.830 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619405.830 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1550619405.830 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1550619405.830 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619405.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.830 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619405.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.830 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.830 * [misc]taylor: Taking taylor expansion of k in k 1550619405.830 * [misc]backup-simplify: Simplify 0 into 0 1550619405.830 * [misc]backup-simplify: Simplify 1 into 1 1550619405.830 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.830 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1550619405.830 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1550619405.830 * [misc]taylor: Taking taylor expansion of 2 in k 1550619405.830 * [misc]backup-simplify: Simplify 2 into 2 1550619405.830 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619405.830 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.830 * [misc]backup-simplify: Simplify PI into PI 1550619405.830 * [misc]taylor: Taking taylor expansion of n in k 1550619405.830 * [misc]backup-simplify: Simplify n into n 1550619405.830 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619405.830 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1550619405.830 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1550619405.831 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619405.831 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619405.831 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619405.831 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1550619405.831 * [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)))) 1550619405.831 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of k in n 1550619405.831 * [misc]backup-simplify: Simplify k into k 1550619405.831 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550619405.831 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550619405.831 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.831 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.831 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of k in n 1550619405.831 * [misc]backup-simplify: Simplify k into k 1550619405.831 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.831 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.831 * [misc]backup-simplify: Simplify 2 into 2 1550619405.831 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.831 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.831 * [misc]backup-simplify: Simplify PI into PI 1550619405.832 * [misc]taylor: Taking taylor expansion of n in n 1550619405.832 * [misc]backup-simplify: Simplify 0 into 0 1550619405.832 * [misc]backup-simplify: Simplify 1 into 1 1550619405.832 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.832 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.832 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.832 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619405.832 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619405.832 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619405.833 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.833 * [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))) 1550619405.834 * [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)))) 1550619405.834 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of k in n 1550619405.834 * [misc]backup-simplify: Simplify k into k 1550619405.834 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550619405.834 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550619405.834 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.834 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.834 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of k in n 1550619405.834 * [misc]backup-simplify: Simplify k into k 1550619405.834 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.834 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of 2 in n 1550619405.834 * [misc]backup-simplify: Simplify 2 into 2 1550619405.834 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.834 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.834 * [misc]backup-simplify: Simplify PI into PI 1550619405.834 * [misc]taylor: Taking taylor expansion of n in n 1550619405.834 * [misc]backup-simplify: Simplify 0 into 0 1550619405.834 * [misc]backup-simplify: Simplify 1 into 1 1550619405.834 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.835 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.835 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.835 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619405.835 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619405.835 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619405.836 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.836 * [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))) 1550619405.836 * [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)))) 1550619405.838 * [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)) 1550619405.838 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1550619405.838 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1550619405.838 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1550619405.838 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619405.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.838 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619405.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.838 * [misc]taylor: Taking taylor expansion of k in k 1550619405.838 * [misc]backup-simplify: Simplify 0 into 0 1550619405.838 * [misc]backup-simplify: Simplify 1 into 1 1550619405.838 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.838 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1550619405.838 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550619405.838 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550619405.838 * [misc]taylor: Taking taylor expansion of 2 in k 1550619405.838 * [misc]backup-simplify: Simplify 2 into 2 1550619405.838 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.838 * [misc]backup-simplify: Simplify PI into PI 1550619405.839 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619405.839 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619405.839 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619405.839 * [misc]taylor: Taking taylor expansion of n in k 1550619405.839 * [misc]backup-simplify: Simplify n into n 1550619405.839 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619405.839 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619405.839 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619405.839 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619405.839 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619405.840 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1550619405.840 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1550619405.840 * [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)))) 1550619405.840 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619405.840 * [misc]taylor: Taking taylor expansion of k in k 1550619405.840 * [misc]backup-simplify: Simplify 0 into 0 1550619405.841 * [misc]backup-simplify: Simplify 1 into 1 1550619405.841 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619405.841 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619405.841 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1550619405.841 * [misc]backup-simplify: Simplify 0 into 0 1550619405.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619405.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619405.844 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619405.844 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619405.844 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619405.844 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.845 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.845 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.846 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1550619405.848 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619405.848 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1550619405.848 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.849 * [misc]backup-simplify: Simplify 0 into 0 1550619405.849 * [misc]backup-simplify: Simplify 0 into 0 1550619405.849 * [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)))))) 1550619405.850 * [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)))))) 1550619405.851 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.852 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619405.857 * [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 1550619405.857 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.858 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619405.858 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.858 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.859 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.859 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1550619405.862 * [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 1550619405.862 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1550619405.863 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1550619405.863 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.863 * [misc]backup-simplify: Simplify 0 into 0 1550619405.863 * [misc]backup-simplify: Simplify 0 into 0 1550619405.863 * [misc]backup-simplify: Simplify 0 into 0 1550619405.864 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619405.865 * [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)))))) 1550619405.866 * [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)))))) 1550619405.867 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.869 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619405.876 * [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 1550619405.877 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.877 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619405.877 * [misc]backup-simplify: Simplify (- 0) into 0 1550619405.877 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.878 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619405.878 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1550619405.880 * [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 1550619405.880 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1550619405.881 * [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 1550619405.881 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.881 * [misc]backup-simplify: Simplify 0 into 0 1550619405.881 * [misc]backup-simplify: Simplify 0 into 0 1550619405.881 * [misc]backup-simplify: Simplify 0 into 0 1550619405.881 * [misc]backup-simplify: Simplify 0 into 0 1550619405.882 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619405.882 * [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)))))) 1550619405.883 * [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)))))) 1550619405.884 * [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)))))))) 1550619405.885 * [misc]backup-simplify: Simplify (/ (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1550619405.885 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1550619405.885 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.885 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of k in k 1550619405.885 * [misc]backup-simplify: Simplify 0 into 0 1550619405.885 * [misc]backup-simplify: Simplify 1 into 1 1550619405.885 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.885 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.885 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of -2 in k 1550619405.885 * [misc]backup-simplify: Simplify -2 into -2 1550619405.885 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619405.885 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.885 * [misc]backup-simplify: Simplify PI into PI 1550619405.885 * [misc]taylor: Taking taylor expansion of n in k 1550619405.885 * [misc]backup-simplify: Simplify n into n 1550619405.885 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619405.885 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1550619405.885 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1550619405.885 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619405.886 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619405.886 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1550619405.886 * [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))) 1550619405.886 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619405.886 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619405.886 * [misc]taylor: Taking taylor expansion of -1 in k 1550619405.886 * [misc]backup-simplify: Simplify -1 into -1 1550619405.886 * [misc]taylor: Taking taylor expansion of k in k 1550619405.886 * [misc]backup-simplify: Simplify 0 into 0 1550619405.886 * [misc]backup-simplify: Simplify 1 into 1 1550619405.886 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619405.886 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619405.886 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619405.887 * [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)))) 1550619405.887 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.887 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of k in n 1550619405.887 * [misc]backup-simplify: Simplify k into k 1550619405.887 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.887 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of -2 in n 1550619405.887 * [misc]backup-simplify: Simplify -2 into -2 1550619405.887 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.887 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.887 * [misc]backup-simplify: Simplify PI into PI 1550619405.887 * [misc]taylor: Taking taylor expansion of n in n 1550619405.887 * [misc]backup-simplify: Simplify 0 into 0 1550619405.887 * [misc]backup-simplify: Simplify 1 into 1 1550619405.887 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.887 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619405.888 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619405.888 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619405.888 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619405.888 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619405.889 * [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))) 1550619405.889 * [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)))) 1550619405.889 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550619405.889 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550619405.889 * [misc]taylor: Taking taylor expansion of -1 in n 1550619405.889 * [misc]backup-simplify: Simplify -1 into -1 1550619405.889 * [misc]taylor: Taking taylor expansion of k in n 1550619405.889 * [misc]backup-simplify: Simplify k into k 1550619405.889 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550619405.889 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550619405.889 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550619405.890 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550619405.890 * [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))) 1550619405.890 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1550619405.890 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619405.890 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550619405.890 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550619405.890 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619405.890 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619405.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.890 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619405.890 * [misc]taylor: Taking taylor expansion of k in n 1550619405.890 * [misc]backup-simplify: Simplify k into k 1550619405.890 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619405.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619405.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.890 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550619405.890 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619405.890 * [misc]taylor: Taking taylor expansion of -2 in n 1550619405.890 * [misc]backup-simplify: Simplify -2 into -2 1550619405.890 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619405.891 * [misc]taylor: Taking taylor expansion of PI in n 1550619405.891 * [misc]backup-simplify: Simplify PI into PI 1550619405.891 * [misc]taylor: Taking taylor expansion of n in n 1550619405.891 * [misc]backup-simplify: Simplify 0 into 0 1550619405.891 * [misc]backup-simplify: Simplify 1 into 1 1550619405.891 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619405.891 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619405.891 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619405.891 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619405.892 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619405.892 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619405.892 * [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))) 1550619405.893 * [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)))) 1550619405.893 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550619405.893 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550619405.893 * [misc]taylor: Taking taylor expansion of -1 in n 1550619405.893 * [misc]backup-simplify: Simplify -1 into -1 1550619405.893 * [misc]taylor: Taking taylor expansion of k in n 1550619405.893 * [misc]backup-simplify: Simplify k into k 1550619405.893 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550619405.893 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550619405.893 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550619405.893 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550619405.893 * [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))) 1550619405.894 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.894 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of k in k 1550619405.894 * [misc]backup-simplify: Simplify 0 into 0 1550619405.894 * [misc]backup-simplify: Simplify 1 into 1 1550619405.894 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619405.894 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619405.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619405.894 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of -2 in k 1550619405.894 * [misc]backup-simplify: Simplify -2 into -2 1550619405.894 * [misc]taylor: Taking taylor expansion of PI in k 1550619405.894 * [misc]backup-simplify: Simplify PI into PI 1550619405.894 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619405.894 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619405.894 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619405.894 * [misc]taylor: Taking taylor expansion of n in k 1550619405.894 * [misc]backup-simplify: Simplify n into n 1550619405.894 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619405.895 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619405.895 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619405.895 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619405.895 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1550619405.895 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1550619405.896 * [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)))) 1550619405.896 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619405.896 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619405.896 * [misc]taylor: Taking taylor expansion of -1 in k 1550619405.896 * [misc]backup-simplify: Simplify -1 into -1 1550619405.896 * [misc]taylor: Taking taylor expansion of k in k 1550619405.896 * [misc]backup-simplify: Simplify 0 into 0 1550619405.896 * [misc]backup-simplify: Simplify 1 into 1 1550619405.896 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619405.896 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619405.896 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619405.897 * [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))))) 1550619405.897 * [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))))) 1550619405.898 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619405.898 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550619405.900 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1550619405.900 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619405.900 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619405.900 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.900 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619405.901 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1550619405.902 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619405.902 * [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 1550619405.902 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.902 * [misc]backup-simplify: Simplify 0 into 0 1550619405.902 * [misc]backup-simplify: Simplify 0 into 0 1550619405.902 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550619405.903 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619405.904 * [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)))))) 1550619405.904 * [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)))))) 1550619405.905 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.907 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619405.912 * [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 1550619405.912 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.912 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619405.912 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619405.913 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619405.914 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1550619405.916 * [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 1550619405.917 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619405.917 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1550619405.919 * [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 1550619405.919 * [misc]taylor: Taking taylor expansion of 0 in k 1550619405.919 * [misc]backup-simplify: Simplify 0 into 0 1550619405.919 * [misc]backup-simplify: Simplify 0 into 0 1550619405.919 * [misc]backup-simplify: Simplify 0 into 0 1550619405.919 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619405.920 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619405.922 * [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)))))) 1550619405.923 * [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)))))) 1550619405.925 * [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))))))))))) 1550619405.925 * * * [misc]progress: simplifying candidates 1550619405.925 * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # 1550619405.926 * [enter]simplify: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) 1550619405.926 * * [misc]simplify: iters left: 6 (11 enodes) 1550619405.932 * * [misc]simplify: iters left: 5 (43 enodes) 1550619405.946 * * [misc]simplify: iters left: 4 (79 enodes) 1550619405.972 * * [misc]simplify: iters left: 3 (174 enodes) 1550619406.032 * * [misc]simplify: iters left: 2 (469 enodes) 1550619406.300 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.301 * * [misc]simplify: Extracting #1: cost 84 inf + 0 1550619406.302 * * [misc]simplify: Extracting #2: cost 306 inf + 0 1550619406.305 * * [misc]simplify: Extracting #3: cost 323 inf + 700 1550619406.311 * * [misc]simplify: Extracting #4: cost 264 inf + 10482 1550619406.329 * * [misc]simplify: Extracting #5: cost 52 inf + 75582 1550619406.352 * * [misc]simplify: Extracting #6: cost 0 inf + 94795 1550619406.378 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) 1550619406.378 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))) 1550619406.378 * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # 1550619406.378 * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # 1550619406.379 * [enter]simplify: Simplifying (* (* n 2) PI) 1550619406.379 * * [misc]simplify: iters left: 4 (5 enodes) 1550619406.380 * * [misc]simplify: iters left: 3 (19 enodes) 1550619406.384 * * [misc]simplify: iters left: 2 (27 enodes) 1550619406.388 * * [misc]simplify: iters left: 1 (32 enodes) 1550619406.392 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.392 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619406.392 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550619406.392 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550619406.393 * [exit]simplify: Simplified to (* (* n 2) PI) 1550619406.393 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1550619406.393 * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # 1550619406.393 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1550619406.393 * * [misc]simplify: iters left: 5 (8 enodes) 1550619406.398 * * [misc]simplify: iters left: 4 (28 enodes) 1550619406.406 * * [misc]simplify: iters left: 3 (36 enodes) 1550619406.412 * * [misc]simplify: iters left: 2 (41 enodes) 1550619406.419 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.419 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619406.419 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619406.419 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1550619406.419 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1550619406.420 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1550619406.420 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1550619406.420 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1550619406.420 * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # 1550619406.420 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1550619406.420 * * [misc]simplify: iters left: 5 (6 enodes) 1550619406.422 * * [misc]simplify: iters left: 4 (20 enodes) 1550619406.426 * * [misc]simplify: iters left: 3 (25 enodes) 1550619406.430 * * [misc]simplify: iters left: 2 (27 enodes) 1550619406.434 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.434 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619406.434 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1550619406.434 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550619406.434 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1550619406.434 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1550619406.434 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1550619406.434 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1550619406.434 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1550619406.434 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) 1550619406.434 * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # 1550619406.435 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1550619406.435 * * [misc]simplify: iters left: 5 (6 enodes) 1550619406.437 * * [misc]simplify: iters left: 4 (20 enodes) 1550619406.443 * * [misc]simplify: iters left: 3 (25 enodes) 1550619406.451 * * [misc]simplify: iters left: 2 (27 enodes) 1550619406.458 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.458 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619406.458 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1550619406.458 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550619406.459 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1550619406.459 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1550619406.459 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1550619406.459 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1550619406.460 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1550619406.460 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) 1550619406.460 * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # 1550619406.460 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1550619406.460 * * [misc]simplify: iters left: 4 (5 enodes) 1550619406.463 * * [misc]simplify: iters left: 3 (17 enodes) 1550619406.469 * * [misc]simplify: iters left: 2 (22 enodes) 1550619406.475 * * [misc]simplify: iters left: 1 (24 enodes) 1550619406.483 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.483 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619406.483 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619406.483 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1550619406.483 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1550619406.484 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1550619406.484 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k))) 1550619406.484 * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # 1550619406.484 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1550619406.484 * * [misc]simplify: iters left: 5 (9 enodes) 1550619406.489 * * [misc]simplify: iters left: 4 (33 enodes) 1550619406.498 * * [misc]simplify: iters left: 3 (43 enodes) 1550619406.505 * * [misc]simplify: iters left: 2 (48 enodes) 1550619406.511 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.512 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619406.512 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550619406.512 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1550619406.512 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1550619406.512 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1550619406.512 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1550619406.513 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1550619406.513 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k))) 1550619406.513 * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # 1550619406.513 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1550619406.513 * * [misc]simplify: iters left: 5 (9 enodes) 1550619406.515 * * [misc]simplify: iters left: 4 (33 enodes) 1550619406.520 * * [misc]simplify: iters left: 3 (43 enodes) 1550619406.527 * * [misc]simplify: iters left: 2 (48 enodes) 1550619406.540 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.540 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619406.540 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550619406.541 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1550619406.541 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1550619406.541 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1550619406.542 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1550619406.542 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1550619406.542 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k))) 1550619406.542 * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # 1550619406.543 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1550619406.543 * * [misc]simplify: iters left: 5 (8 enodes) 1550619406.547 * * [misc]simplify: iters left: 4 (27 enodes) 1550619406.556 * * [misc]simplify: iters left: 3 (32 enodes) 1550619406.564 * * [misc]simplify: iters left: 2 (34 enodes) 1550619406.573 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.573 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619406.573 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550619406.573 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1550619406.573 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1550619406.574 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1550619406.574 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1550619406.575 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1550619406.575 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))) 1550619406.575 * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # 1550619406.575 * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # 1550619406.575 * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # 1550619406.575 * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # 1550619406.575 * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # 1550619406.575 * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # 1550619406.575 * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # 1550619406.575 * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate #real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))> 1550619406.575 * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # 1550619406.575 * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # 1550619406.575 * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # 1550619406.576 * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # 1550619406.576 * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # 1550619406.576 * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # 1550619406.576 * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # 1550619406.576 * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # 1550619406.576 * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))> 1550619406.576 * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # 1550619406.576 * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # 1550619406.576 * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # 1550619406.576 * [enter]simplify: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1550619406.576 * * [misc]simplify: iters left: 6 (14 enodes) 1550619406.583 * * [misc]simplify: iters left: 5 (54 enodes) 1550619406.592 * * [misc]simplify: iters left: 4 (93 enodes) 1550619406.609 * * [misc]simplify: iters left: 3 (211 enodes) 1550619406.710 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.711 * * [misc]simplify: Extracting #1: cost 42 inf + 0 1550619406.711 * * [misc]simplify: Extracting #2: cost 140 inf + 0 1550619406.712 * * [misc]simplify: Extracting #3: cost 174 inf + 73 1550619406.714 * * [misc]simplify: Extracting #4: cost 166 inf + 1096 1550619406.718 * * [misc]simplify: Extracting #5: cost 109 inf + 11866 1550619406.731 * * [misc]simplify: Extracting #6: cost 16 inf + 39971 1550619406.750 * * [misc]simplify: Extracting #7: cost 0 inf + 46184 1550619406.772 * * [misc]simplify: Extracting #8: cost 0 inf + 46104 1550619406.791 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))) 1550619406.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1550619406.791 * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # 1550619406.791 * [enter]simplify: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1550619406.792 * * [misc]simplify: iters left: 6 (14 enodes) 1550619406.798 * * [misc]simplify: iters left: 5 (54 enodes) 1550619406.815 * * [misc]simplify: iters left: 4 (93 enodes) 1550619406.845 * * [misc]simplify: iters left: 3 (211 enodes) 1550619406.933 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619406.933 * * [misc]simplify: Extracting #1: cost 42 inf + 0 1550619406.934 * * [misc]simplify: Extracting #2: cost 140 inf + 0 1550619406.934 * * [misc]simplify: Extracting #3: cost 174 inf + 73 1550619406.935 * * [misc]simplify: Extracting #4: cost 166 inf + 1096 1550619406.938 * * [misc]simplify: Extracting #5: cost 109 inf + 11866 1550619406.952 * * [misc]simplify: Extracting #6: cost 16 inf + 39971 1550619406.971 * * [misc]simplify: Extracting #7: cost 0 inf + 46184 1550619406.990 * * [misc]simplify: Extracting #8: cost 0 inf + 46104 1550619407.000 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))) 1550619407.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1550619407.000 * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # 1550619407.000 * [enter]simplify: Simplifying (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1550619407.000 * * [misc]simplify: iters left: 6 (14 enodes) 1550619407.004 * * [misc]simplify: iters left: 5 (52 enodes) 1550619407.012 * * [misc]simplify: iters left: 4 (78 enodes) 1550619407.035 * * [misc]simplify: iters left: 3 (129 enodes) 1550619407.066 * * [misc]simplify: iters left: 2 (301 enodes) 1550619407.300 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.301 * * [misc]simplify: Extracting #1: cost 95 inf + 0 1550619407.302 * * [misc]simplify: Extracting #2: cost 251 inf + 0 1550619407.304 * * [misc]simplify: Extracting #3: cost 268 inf + 185 1550619407.307 * * [misc]simplify: Extracting #4: cost 245 inf + 2717 1550619407.320 * * [misc]simplify: Extracting #5: cost 109 inf + 39317 1550619407.354 * * [misc]simplify: Extracting #6: cost 4 inf + 84912 1550619407.394 * * [misc]simplify: Extracting #7: cost 0 inf + 86901 1550619407.412 * [exit]simplify: Simplified to (- (* (log (* (* PI n) 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1550619407.413 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI n) 2)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1550619407.413 * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # 1550619407.413 * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # 1550619407.413 * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # 1550619407.413 * [enter]simplify: Simplifying (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1550619407.413 * * [misc]simplify: iters left: 6 (16 enodes) 1550619407.417 * * [misc]simplify: iters left: 5 (61 enodes) 1550619407.428 * * [misc]simplify: iters left: 4 (113 enodes) 1550619407.458 * * [misc]simplify: iters left: 3 (185 enodes) 1550619407.489 * * [misc]simplify: iters left: 2 (215 enodes) 1550619407.540 * * [misc]simplify: iters left: 1 (221 enodes) 1550619407.595 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.595 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1550619407.595 * * [misc]simplify: Extracting #2: cost 41 inf + 123 1550619407.596 * * [misc]simplify: Extracting #3: cost 49 inf + 246 1550619407.596 * * [misc]simplify: Extracting #4: cost 51 inf + 250 1550619407.597 * * [misc]simplify: Extracting #5: cost 39 inf + 1291 1550619407.601 * * [misc]simplify: Extracting #6: cost 5 inf + 15749 1550619407.608 * * [misc]simplify: Extracting #7: cost 0 inf + 18264 1550619407.615 * [exit]simplify: Simplified to (/ (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt k) k)) 1550619407.615 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt k) k)))) 1550619407.615 * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # 1550619407.615 * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # 1550619407.616 * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # 1550619407.616 * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # 1550619407.616 * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # 1550619407.616 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619407.616 * * [misc]simplify: iters left: 6 (12 enodes) 1550619407.622 * * [misc]simplify: iters left: 5 (43 enodes) 1550619407.633 * * [misc]simplify: iters left: 4 (53 enodes) 1550619407.648 * * [misc]simplify: iters left: 3 (59 enodes) 1550619407.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.662 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619407.662 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619407.662 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1550619407.662 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1550619407.663 * * [misc]simplify: Extracting #5: cost 12 inf + 460 1550619407.663 * * [misc]simplify: Extracting #6: cost 2 inf + 1923 1550619407.664 * * [misc]simplify: Extracting #7: cost 0 inf + 2531 1550619407.665 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619407.665 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1550619407.665 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))) 1550619407.665 * * [misc]simplify: iters left: 6 (12 enodes) 1550619407.671 * * [misc]simplify: iters left: 5 (42 enodes) 1550619407.682 * * [misc]simplify: iters left: 4 (52 enodes) 1550619407.696 * * [misc]simplify: iters left: 3 (58 enodes) 1550619407.710 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.710 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619407.710 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619407.710 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550619407.710 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1550619407.710 * * [misc]simplify: Extracting #5: cost 4 inf + 1367 1550619407.711 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1550619407.712 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1550619407.713 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))) 1550619407.713 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1550619407.713 * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # 1550619407.713 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) 1550619407.713 * * [misc]simplify: iters left: 6 (11 enodes) 1550619407.718 * * [misc]simplify: iters left: 5 (38 enodes) 1550619407.729 * * [misc]simplify: iters left: 4 (46 enodes) 1550619407.743 * * [misc]simplify: iters left: 3 (51 enodes) 1550619407.755 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.756 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619407.756 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619407.756 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619407.756 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1550619407.756 * * [misc]simplify: Extracting #5: cost 2 inf + 913 1550619407.757 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1550619407.757 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1550619407.758 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) 1550619407.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1550619407.758 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))) 1550619407.758 * * [misc]simplify: iters left: 6 (12 enodes) 1550619407.764 * * [misc]simplify: iters left: 5 (42 enodes) 1550619407.776 * * [misc]simplify: iters left: 4 (52 enodes) 1550619407.789 * * [misc]simplify: iters left: 3 (58 enodes) 1550619407.804 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.804 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619407.804 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619407.804 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550619407.804 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1550619407.805 * * [misc]simplify: Extracting #5: cost 4 inf + 1287 1550619407.805 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1550619407.806 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1550619407.807 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))) 1550619407.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1550619407.807 * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # 1550619407.807 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1) 1550619407.808 * * [misc]simplify: iters left: 6 (9 enodes) 1550619407.812 * * [misc]simplify: iters left: 5 (32 enodes) 1550619407.822 * * [misc]simplify: iters left: 4 (44 enodes) 1550619407.834 * * [misc]simplify: iters left: 3 (49 enodes) 1550619407.846 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.846 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619407.846 * * [misc]simplify: Extracting #2: cost 10 inf + 2 1550619407.846 * * [misc]simplify: Extracting #3: cost 9 inf + 47 1550619407.847 * * [misc]simplify: Extracting #4: cost 0 inf + 669 1550619407.848 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1550619407.848 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1550619407.848 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1550619407.848 * * [misc]simplify: iters left: 6 (11 enodes) 1550619407.853 * * [misc]simplify: iters left: 5 (39 enodes) 1550619407.864 * * [misc]simplify: iters left: 4 (49 enodes) 1550619407.877 * * [misc]simplify: iters left: 3 (54 enodes) 1550619407.892 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.892 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619407.892 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619407.893 * * [misc]simplify: Extracting #3: cost 16 inf + 83 1550619407.893 * * [misc]simplify: Extracting #4: cost 16 inf + 169 1550619407.893 * * [misc]simplify: Extracting #5: cost 3 inf + 1500 1550619407.894 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1550619407.895 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1550619407.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1550619407.895 * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # 1550619407.895 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619407.895 * * [misc]simplify: iters left: 6 (12 enodes) 1550619407.902 * * [misc]simplify: iters left: 5 (43 enodes) 1550619407.914 * * [misc]simplify: iters left: 4 (53 enodes) 1550619407.928 * * [misc]simplify: iters left: 3 (59 enodes) 1550619407.943 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.943 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619407.943 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619407.943 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1550619407.943 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1550619407.943 * * [misc]simplify: Extracting #5: cost 12 inf + 460 1550619407.944 * * [misc]simplify: Extracting #6: cost 2 inf + 1923 1550619407.945 * * [misc]simplify: Extracting #7: cost 0 inf + 2531 1550619407.946 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619407.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1550619407.946 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))) 1550619407.946 * * [misc]simplify: iters left: 6 (12 enodes) 1550619407.952 * * [misc]simplify: iters left: 5 (42 enodes) 1550619407.964 * * [misc]simplify: iters left: 4 (52 enodes) 1550619407.977 * * [misc]simplify: iters left: 3 (58 enodes) 1550619407.992 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619407.992 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619407.992 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619407.992 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550619407.992 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1550619407.993 * * [misc]simplify: Extracting #5: cost 4 inf + 1367 1550619407.994 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1550619407.994 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1550619407.995 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))) 1550619407.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1550619407.995 * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # 1550619407.996 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) 1550619407.996 * * [misc]simplify: iters left: 6 (11 enodes) 1550619408.001 * * [misc]simplify: iters left: 5 (38 enodes) 1550619408.013 * * [misc]simplify: iters left: 4 (46 enodes) 1550619408.026 * * [misc]simplify: iters left: 3 (51 enodes) 1550619408.041 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.041 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.041 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619408.041 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619408.041 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1550619408.041 * * [misc]simplify: Extracting #5: cost 2 inf + 913 1550619408.042 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1550619408.042 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1550619408.042 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) 1550619408.042 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1550619408.043 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))) 1550619408.043 * * [misc]simplify: iters left: 6 (12 enodes) 1550619408.045 * * [misc]simplify: iters left: 5 (42 enodes) 1550619408.052 * * [misc]simplify: iters left: 4 (52 enodes) 1550619408.059 * * [misc]simplify: iters left: 3 (58 enodes) 1550619408.066 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.066 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.066 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619408.066 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550619408.067 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1550619408.067 * * [misc]simplify: Extracting #5: cost 4 inf + 1287 1550619408.067 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1550619408.067 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1550619408.068 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))) 1550619408.068 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1550619408.068 * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # 1550619408.068 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1) 1550619408.068 * * [misc]simplify: iters left: 6 (9 enodes) 1550619408.071 * * [misc]simplify: iters left: 5 (32 enodes) 1550619408.081 * * [misc]simplify: iters left: 4 (44 enodes) 1550619408.093 * * [misc]simplify: iters left: 3 (49 enodes) 1550619408.105 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.105 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619408.105 * * [misc]simplify: Extracting #2: cost 10 inf + 2 1550619408.105 * * [misc]simplify: Extracting #3: cost 9 inf + 47 1550619408.105 * * [misc]simplify: Extracting #4: cost 0 inf + 669 1550619408.106 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1550619408.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1550619408.106 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1550619408.106 * * [misc]simplify: iters left: 6 (11 enodes) 1550619408.112 * * [misc]simplify: iters left: 5 (39 enodes) 1550619408.122 * * [misc]simplify: iters left: 4 (49 enodes) 1550619408.136 * * [misc]simplify: iters left: 3 (54 enodes) 1550619408.149 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.150 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.150 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619408.150 * * [misc]simplify: Extracting #3: cost 16 inf + 83 1550619408.150 * * [misc]simplify: Extracting #4: cost 16 inf + 169 1550619408.150 * * [misc]simplify: Extracting #5: cost 3 inf + 1500 1550619408.151 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1550619408.152 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1550619408.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1550619408.152 * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # 1550619408.152 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619408.152 * * [misc]simplify: iters left: 6 (12 enodes) 1550619408.160 * * [misc]simplify: iters left: 5 (41 enodes) 1550619408.172 * * [misc]simplify: iters left: 4 (48 enodes) 1550619408.185 * * [misc]simplify: iters left: 3 (50 enodes) 1550619408.200 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.200 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619408.200 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619408.200 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550619408.200 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1550619408.200 * * [misc]simplify: Extracting #5: cost 8 inf + 1494 1550619408.201 * * [misc]simplify: Extracting #6: cost 2 inf + 2926 1550619408.202 * * [misc]simplify: Extracting #7: cost 0 inf + 3954 1550619408.203 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619408.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1550619408.204 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1550619408.204 * * [misc]simplify: iters left: 6 (10 enodes) 1550619408.209 * * [misc]simplify: iters left: 5 (32 enodes) 1550619408.218 * * [misc]simplify: iters left: 4 (37 enodes) 1550619408.229 * * [misc]simplify: iters left: 3 (39 enodes) 1550619408.239 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.239 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.239 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619408.239 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619408.240 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1550619408.240 * * [misc]simplify: Extracting #5: cost 11 inf + 369 1550619408.240 * * [misc]simplify: Extracting #6: cost 6 inf + 659 1550619408.241 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1550619408.241 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1550619408.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1550619408.241 * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # 1550619408.242 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550619408.242 * * [misc]simplify: iters left: 6 (11 enodes) 1550619408.247 * * [misc]simplify: iters left: 5 (36 enodes) 1550619408.258 * * [misc]simplify: iters left: 4 (41 enodes) 1550619408.269 * * [misc]simplify: iters left: 3 (43 enodes) 1550619408.280 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.281 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.281 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619408.281 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550619408.281 * * [misc]simplify: Extracting #4: cost 12 inf + 291 1550619408.281 * * [misc]simplify: Extracting #5: cost 4 inf + 1121 1550619408.282 * * [misc]simplify: Extracting #6: cost 0 inf + 2404 1550619408.283 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550619408.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1550619408.283 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550619408.283 * * [misc]simplify: iters left: 6 (10 enodes) 1550619408.288 * * [misc]simplify: iters left: 5 (32 enodes) 1550619408.297 * * [misc]simplify: iters left: 4 (37 enodes) 1550619408.308 * * [misc]simplify: iters left: 3 (39 enodes) 1550619408.321 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.321 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.321 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619408.321 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619408.321 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1550619408.321 * * [misc]simplify: Extracting #5: cost 11 inf + 289 1550619408.321 * * [misc]simplify: Extracting #6: cost 6 inf + 579 1550619408.322 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1550619408.322 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550619408.322 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1550619408.323 * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # 1550619408.323 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) 1550619408.323 * * [misc]simplify: iters left: 6 (10 enodes) 1550619408.328 * * [misc]simplify: iters left: 5 (33 enodes) 1550619408.338 * * [misc]simplify: iters left: 4 (40 enodes) 1550619408.350 * * [misc]simplify: iters left: 3 (42 enodes) 1550619408.361 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.361 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619408.361 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550619408.362 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1550619408.362 * * [misc]simplify: Extracting #4: cost 7 inf + 214 1550619408.362 * * [misc]simplify: Extracting #5: cost 0 inf + 1253 1550619408.362 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1550619408.363 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1550619408.363 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1550619408.363 * * [misc]simplify: iters left: 6 (9 enodes) 1550619408.366 * * [misc]simplify: iters left: 5 (29 enodes) 1550619408.370 * * [misc]simplify: iters left: 4 (34 enodes) 1550619408.375 * * [misc]simplify: iters left: 3 (36 enodes) 1550619408.380 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.381 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.381 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619408.381 * * [misc]simplify: Extracting #3: cost 9 inf + 84 1550619408.381 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1550619408.381 * * [misc]simplify: Extracting #5: cost 10 inf + 209 1550619408.381 * * [misc]simplify: Extracting #6: cost 6 inf + 457 1550619408.381 * * [misc]simplify: Extracting #7: cost 1 inf + 1624 1550619408.381 * * [misc]simplify: Extracting #8: cost 0 inf + 1918 1550619408.382 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1550619408.382 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1550619408.382 * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # 1550619408.382 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619408.382 * * [misc]simplify: iters left: 6 (16 enodes) 1550619408.386 * * [misc]simplify: iters left: 5 (60 enodes) 1550619408.395 * * [misc]simplify: iters left: 4 (88 enodes) 1550619408.408 * * [misc]simplify: iters left: 3 (102 enodes) 1550619408.422 * * [misc]simplify: iters left: 2 (105 enodes) 1550619408.445 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.446 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619408.446 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1550619408.446 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1550619408.446 * * [misc]simplify: Extracting #4: cost 35 inf + 163 1550619408.446 * * [misc]simplify: Extracting #5: cost 32 inf + 693 1550619408.447 * * [misc]simplify: Extracting #6: cost 20 inf + 1775 1550619408.449 * * [misc]simplify: Extracting #7: cost 3 inf + 10110 1550619408.452 * * [misc]simplify: Extracting #8: cost 0 inf + 11915 1550619408.455 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1550619408.455 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1550619408.456 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1550619408.456 * * [misc]simplify: iters left: 6 (14 enodes) 1550619408.462 * * [misc]simplify: iters left: 5 (48 enodes) 1550619408.476 * * [misc]simplify: iters left: 4 (61 enodes) 1550619408.487 * * [misc]simplify: iters left: 3 (69 enodes) 1550619408.496 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.496 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.496 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619408.496 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619408.496 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550619408.497 * * [misc]simplify: Extracting #5: cost 20 inf + 371 1550619408.497 * * [misc]simplify: Extracting #6: cost 7 inf + 1535 1550619408.497 * * [misc]simplify: Extracting #7: cost 1 inf + 3518 1550619408.498 * * [misc]simplify: Extracting #8: cost 0 inf + 4133 1550619408.499 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1550619408.499 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1550619408.499 * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # 1550619408.499 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1550619408.499 * * [misc]simplify: iters left: 6 (15 enodes) 1550619408.506 * * [misc]simplify: iters left: 5 (53 enodes) 1550619408.521 * * [misc]simplify: iters left: 4 (70 enodes) 1550619408.543 * * [misc]simplify: iters left: 3 (80 enodes) 1550619408.563 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.563 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619408.563 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550619408.563 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619408.563 * * [misc]simplify: Extracting #4: cost 25 inf + 245 1550619408.563 * * [misc]simplify: Extracting #5: cost 27 inf + 249 1550619408.564 * * [misc]simplify: Extracting #6: cost 15 inf + 1542 1550619408.565 * * [misc]simplify: Extracting #7: cost 1 inf + 6768 1550619408.566 * * [misc]simplify: Extracting #8: cost 0 inf + 7343 1550619408.567 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1550619408.567 * [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)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1550619408.567 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550619408.567 * * [misc]simplify: iters left: 6 (14 enodes) 1550619408.570 * * [misc]simplify: iters left: 5 (48 enodes) 1550619408.578 * * [misc]simplify: iters left: 4 (61 enodes) 1550619408.587 * * [misc]simplify: iters left: 3 (69 enodes) 1550619408.596 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.596 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.596 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619408.596 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619408.596 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550619408.596 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1550619408.596 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1550619408.597 * * [misc]simplify: Extracting #7: cost 1 inf + 3398 1550619408.599 * * [misc]simplify: Extracting #8: cost 0 inf + 3973 1550619408.600 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550619408.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1550619408.600 * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # 1550619408.600 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) 1550619408.601 * * [misc]simplify: iters left: 6 (14 enodes) 1550619408.608 * * [misc]simplify: iters left: 5 (50 enodes) 1550619408.624 * * [misc]simplify: iters left: 4 (73 enodes) 1550619408.644 * * [misc]simplify: iters left: 3 (81 enodes) 1550619408.666 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.666 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619408.666 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550619408.666 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619408.666 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550619408.666 * * [misc]simplify: Extracting #5: cost 24 inf + 5 1550619408.666 * * [misc]simplify: Extracting #6: cost 12 inf + 1046 1550619408.667 * * [misc]simplify: Extracting #7: cost 2 inf + 3571 1550619408.669 * * [misc]simplify: Extracting #8: cost 0 inf + 4562 1550619408.670 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1550619408.670 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1550619408.671 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1550619408.671 * * [misc]simplify: iters left: 6 (13 enodes) 1550619408.677 * * [misc]simplify: iters left: 5 (45 enodes) 1550619408.688 * * [misc]simplify: iters left: 4 (58 enodes) 1550619408.696 * * [misc]simplify: iters left: 3 (65 enodes) 1550619408.705 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.705 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.705 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619408.705 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619408.705 * * [misc]simplify: Extracting #4: cost 20 inf + 42 1550619408.705 * * [misc]simplify: Extracting #5: cost 18 inf + 253 1550619408.705 * * [misc]simplify: Extracting #6: cost 8 inf + 1169 1550619408.706 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1550619408.706 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1550619408.706 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1550619408.707 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1550619408.707 * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # 1550619408.707 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619408.707 * * [misc]simplify: iters left: 6 (15 enodes) 1550619408.711 * * [misc]simplify: iters left: 5 (53 enodes) 1550619408.719 * * [misc]simplify: iters left: 4 (68 enodes) 1550619408.728 * * [misc]simplify: iters left: 3 (75 enodes) 1550619408.739 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.739 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619408.739 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550619408.739 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550619408.739 * * [misc]simplify: Extracting #4: cost 26 inf + 42 1550619408.739 * * [misc]simplify: Extracting #5: cost 24 inf + 530 1550619408.740 * * [misc]simplify: Extracting #6: cost 11 inf + 1944 1550619408.741 * * [misc]simplify: Extracting #7: cost 0 inf + 5525 1550619408.742 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619408.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1550619408.743 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1550619408.743 * * [misc]simplify: iters left: 6 (14 enodes) 1550619408.749 * * [misc]simplify: iters left: 5 (48 enodes) 1550619408.763 * * [misc]simplify: iters left: 4 (61 enodes) 1550619408.781 * * [misc]simplify: iters left: 3 (69 enodes) 1550619408.791 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.791 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.791 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619408.791 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619408.791 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550619408.791 * * [misc]simplify: Extracting #5: cost 20 inf + 371 1550619408.791 * * [misc]simplify: Extracting #6: cost 7 inf + 1535 1550619408.792 * * [misc]simplify: Extracting #7: cost 1 inf + 3398 1550619408.792 * * [misc]simplify: Extracting #8: cost 0 inf + 3973 1550619408.793 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1550619408.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1550619408.793 * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # 1550619408.793 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550619408.793 * * [misc]simplify: iters left: 6 (14 enodes) 1550619408.797 * * [misc]simplify: iters left: 5 (48 enodes) 1550619408.804 * * [misc]simplify: iters left: 4 (61 enodes) 1550619408.816 * * [misc]simplify: iters left: 3 (69 enodes) 1550619408.827 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.827 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.827 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619408.827 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619408.827 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550619408.827 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1550619408.827 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1550619408.828 * * [misc]simplify: Extracting #7: cost 1 inf + 3278 1550619408.828 * * [misc]simplify: Extracting #8: cost 0 inf + 3813 1550619408.829 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550619408.829 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1550619408.829 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550619408.829 * * [misc]simplify: iters left: 6 (14 enodes) 1550619408.833 * * [misc]simplify: iters left: 5 (48 enodes) 1550619408.840 * * [misc]simplify: iters left: 4 (61 enodes) 1550619408.848 * * [misc]simplify: iters left: 3 (69 enodes) 1550619408.859 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.859 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.859 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619408.859 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619408.859 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550619408.859 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1550619408.859 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1550619408.860 * * [misc]simplify: Extracting #7: cost 1 inf + 3278 1550619408.860 * * [misc]simplify: Extracting #8: cost 0 inf + 3813 1550619408.861 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550619408.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1550619408.861 * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # 1550619408.861 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) 1550619408.861 * * [misc]simplify: iters left: 6 (13 enodes) 1550619408.865 * * [misc]simplify: iters left: 5 (45 enodes) 1550619408.875 * * [misc]simplify: iters left: 4 (60 enodes) 1550619408.888 * * [misc]simplify: iters left: 3 (67 enodes) 1550619408.897 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.897 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.897 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619408.897 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619408.897 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1550619408.898 * * [misc]simplify: Extracting #5: cost 4 inf + 1254 1550619408.898 * * [misc]simplify: Extracting #6: cost 1 inf + 2085 1550619408.898 * * [misc]simplify: Extracting #7: cost 0 inf + 2500 1550619408.899 * [exit]simplify: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1550619408.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1550619408.899 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1550619408.899 * * [misc]simplify: iters left: 6 (13 enodes) 1550619408.902 * * [misc]simplify: iters left: 5 (45 enodes) 1550619408.909 * * [misc]simplify: iters left: 4 (58 enodes) 1550619408.922 * * [misc]simplify: iters left: 3 (65 enodes) 1550619408.938 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.939 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619408.939 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619408.939 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619408.939 * * [misc]simplify: Extracting #4: cost 20 inf + 42 1550619408.939 * * [misc]simplify: Extracting #5: cost 18 inf + 253 1550619408.939 * * [misc]simplify: Extracting #6: cost 8 inf + 1169 1550619408.940 * * [misc]simplify: Extracting #7: cost 1 inf + 3076 1550619408.941 * * [misc]simplify: Extracting #8: cost 0 inf + 3571 1550619408.942 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1550619408.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1550619408.943 * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # 1550619408.943 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619408.943 * * [misc]simplify: iters left: 6 (6 enodes) 1550619408.946 * * [misc]simplify: iters left: 5 (22 enodes) 1550619408.953 * * [misc]simplify: iters left: 4 (26 enodes) 1550619408.960 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619408.960 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619408.961 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619408.961 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550619408.961 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1550619408.961 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1550619408.961 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1550619408.962 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619408.962 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1550619408.962 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1550619408.962 * * [misc]simplify: iters left: 6 (13 enodes) 1550619408.968 * * [misc]simplify: iters left: 5 (45 enodes) 1550619408.985 * * [misc]simplify: iters left: 4 (58 enodes) 1550619408.997 * * [misc]simplify: iters left: 3 (65 enodes) 1550619409.006 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.006 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619409.006 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619409.006 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550619409.006 * * [misc]simplify: Extracting #4: cost 18 inf + 333 1550619409.006 * * [misc]simplify: Extracting #5: cost 6 inf + 1411 1550619409.007 * * [misc]simplify: Extracting #6: cost 1 inf + 2528 1550619409.007 * * [misc]simplify: Extracting #7: cost 0 inf + 3063 1550619409.008 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1550619409.008 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1550619409.008 * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # 1550619409.008 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1550619409.008 * * [misc]simplify: iters left: 4 (5 enodes) 1550619409.010 * * [misc]simplify: iters left: 3 (17 enodes) 1550619409.012 * * [misc]simplify: iters left: 2 (19 enodes) 1550619409.015 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.015 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619409.015 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619409.015 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550619409.015 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1550619409.016 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550619409.016 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1550619409.016 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550619409.016 * * [misc]simplify: iters left: 6 (13 enodes) 1550619409.019 * * [misc]simplify: iters left: 5 (45 enodes) 1550619409.031 * * [misc]simplify: iters left: 4 (58 enodes) 1550619409.047 * * [misc]simplify: iters left: 3 (65 enodes) 1550619409.063 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.063 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619409.063 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619409.063 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550619409.064 * * [misc]simplify: Extracting #4: cost 18 inf + 293 1550619409.064 * * [misc]simplify: Extracting #5: cost 6 inf + 1331 1550619409.065 * * [misc]simplify: Extracting #6: cost 1 inf + 2408 1550619409.066 * * [misc]simplify: Extracting #7: cost 0 inf + 2903 1550619409.067 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550619409.067 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1550619409.067 * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # 1550619409.067 * [enter]simplify: Simplifying (/ 1 1) 1550619409.067 * * [misc]simplify: iters left: 2 (2 enodes) 1550619409.069 * * [misc]simplify: iters left: 1 (6 enodes) 1550619409.071 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.071 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619409.071 * [exit]simplify: Simplified to 1 1550619409.071 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1550619409.072 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1550619409.072 * * [misc]simplify: iters left: 6 (12 enodes) 1550619409.078 * * [misc]simplify: iters left: 5 (42 enodes) 1550619409.090 * * [misc]simplify: iters left: 4 (55 enodes) 1550619409.109 * * [misc]simplify: iters left: 3 (62 enodes) 1550619409.124 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.125 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619409.125 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619409.125 * * [misc]simplify: Extracting #3: cost 18 inf + 42 1550619409.125 * * [misc]simplify: Extracting #4: cost 18 inf + 129 1550619409.125 * * [misc]simplify: Extracting #5: cost 6 inf + 1502 1550619409.126 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1550619409.127 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1550619409.128 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1550619409.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1550619409.128 * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # 1550619409.128 * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # 1550619409.128 * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # 1550619409.128 * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # 1550619409.129 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1550619409.129 * * [misc]simplify: iters left: 2 (3 enodes) 1550619409.130 * * [misc]simplify: iters left: 1 (9 enodes) 1550619409.132 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.132 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619409.132 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619409.133 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550619409.133 * * [misc]simplify: Extracting #4: cost 0 inf + 325 1550619409.133 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1550619409.133 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1550619409.133 * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # 1550619409.133 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1550619409.133 * * [misc]simplify: iters left: 2 (3 enodes) 1550619409.135 * * [misc]simplify: iters left: 1 (9 enodes) 1550619409.137 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.137 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619409.137 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619409.137 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550619409.137 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1550619409.137 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1550619409.137 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1550619409.137 * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # 1550619409.138 * [enter]simplify: Simplifying (sqrt k) 1550619409.138 * * [misc]simplify: iters left: 1 (2 enodes) 1550619409.139 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.139 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619409.139 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1550619409.139 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1550619409.139 * [exit]simplify: Simplified to (sqrt k) 1550619409.139 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k))) 1550619409.139 * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # 1550619409.139 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1550619409.139 * * [misc]simplify: iters left: 5 (7 enodes) 1550619409.143 * * [misc]simplify: iters left: 4 (26 enodes) 1550619409.151 * * [misc]simplify: iters left: 3 (34 enodes) 1550619409.161 * * [misc]simplify: iters left: 2 (39 enodes) 1550619409.168 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.168 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619409.168 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1550619409.168 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1550619409.168 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1550619409.168 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1550619409.168 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1550619409.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))) 1550619409.169 * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # 1550619409.169 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1550619409.169 * * [misc]simplify: iters left: 5 (7 enodes) 1550619409.171 * * [misc]simplify: iters left: 4 (26 enodes) 1550619409.175 * * [misc]simplify: iters left: 3 (34 enodes) 1550619409.180 * * [misc]simplify: iters left: 2 (39 enodes) 1550619409.185 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.185 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619409.185 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1550619409.185 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1550619409.185 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1550619409.185 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1550619409.185 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1550619409.185 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))) 1550619409.185 * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # 1550619409.186 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1550619409.186 * * [misc]simplify: iters left: 5 (8 enodes) 1550619409.188 * * [misc]simplify: iters left: 4 (27 enodes) 1550619409.192 * * [misc]simplify: iters left: 3 (32 enodes) 1550619409.197 * * [misc]simplify: iters left: 2 (34 enodes) 1550619409.201 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.201 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619409.201 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550619409.201 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1550619409.202 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1550619409.202 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1550619409.202 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1550619409.202 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1550619409.202 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1550619409.202 * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # 1550619409.202 * [enter]simplify: Simplifying (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1550619409.203 * * [misc]simplify: iters left: 6 (12 enodes) 1550619409.206 * * [misc]simplify: iters left: 5 (42 enodes) 1550619409.218 * * [misc]simplify: iters left: 4 (55 enodes) 1550619409.229 * * [misc]simplify: iters left: 3 (62 enodes) 1550619409.236 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.237 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619409.237 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619409.237 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550619409.237 * * [misc]simplify: Extracting #4: cost 19 inf + 0 1550619409.237 * * [misc]simplify: Extracting #5: cost 22 inf + 4 1550619409.237 * * [misc]simplify: Extracting #6: cost 10 inf + 1256 1550619409.237 * * [misc]simplify: Extracting #7: cost 1 inf + 3074 1550619409.238 * * [misc]simplify: Extracting #8: cost 0 inf + 3569 1550619409.238 * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1550619409.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1550619409.238 * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # 1550619409.239 * [enter]simplify: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1550619409.239 * * [misc]simplify: iters left: 6 (11 enodes) 1550619409.241 * * [misc]simplify: iters left: 5 (39 enodes) 1550619409.248 * * [misc]simplify: iters left: 4 (52 enodes) 1550619409.257 * * [misc]simplify: iters left: 3 (59 enodes) 1550619409.271 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.271 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619409.271 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619409.272 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550619409.272 * * [misc]simplify: Extracting #4: cost 19 inf + 46 1550619409.272 * * [misc]simplify: Extracting #5: cost 7 inf + 1087 1550619409.273 * * [misc]simplify: Extracting #6: cost 0 inf + 2499 1550619409.274 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1550619409.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1550619409.274 * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # 1550619409.274 * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # 1550619409.274 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1550619409.274 * * [misc]simplify: iters left: 5 (7 enodes) 1550619409.278 * * [misc]simplify: iters left: 4 (26 enodes) 1550619409.286 * * [misc]simplify: iters left: 3 (34 enodes) 1550619409.296 * * [misc]simplify: iters left: 2 (39 enodes) 1550619409.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.306 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619409.306 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1550619409.306 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1550619409.306 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1550619409.307 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1550619409.307 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1550619409.307 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2))))) 1550619409.307 * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate #real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))> 1550619409.307 * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # 1550619409.308 * [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))))) 1550619409.308 * * [misc]simplify: iters left: 6 (37 enodes) 1550619409.328 * * [misc]simplify: iters left: 5 (179 enodes) 1550619409.394 * * [misc]simplify: iters left: 4 (458 enodes) 1550619409.538 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619409.538 * * [misc]simplify: Extracting #1: cost 57 inf + 0 1550619409.539 * * [misc]simplify: Extracting #2: cost 287 inf + 0 1550619409.540 * * [misc]simplify: Extracting #3: cost 485 inf + 158 1550619409.543 * * [misc]simplify: Extracting #4: cost 473 inf + 4949 1550619409.559 * * [misc]simplify: Extracting #5: cost 294 inf + 68227 1550619409.614 * * [misc]simplify: Extracting #6: cost 43 inf + 204764 1550619409.719 * * [misc]simplify: Extracting #7: cost 0 inf + 227627 1550619409.795 * * [misc]simplify: Extracting #8: cost 0 inf + 222950 1550619409.867 * * [misc]simplify: Extracting #9: cost 0 inf + 222310 1550619409.941 * [exit]simplify: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) 1550619409.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) (sqrt k))) 1550619409.942 * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # 1550619409.942 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1550619409.942 * * [misc]simplify: iters left: 6 (15 enodes) 1550619409.951 * * [misc]simplify: iters left: 5 (63 enodes) 1550619409.972 * * [misc]simplify: iters left: 4 (108 enodes) 1550619410.010 * * [misc]simplify: iters left: 3 (260 enodes) 1550619410.106 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619410.106 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550619410.106 * * [misc]simplify: Extracting #2: cost 115 inf + 0 1550619410.107 * * [misc]simplify: Extracting #3: cost 221 inf + 4 1550619410.108 * * [misc]simplify: Extracting #4: cost 174 inf + 5827 1550619410.115 * * [misc]simplify: Extracting #5: cost 46 inf + 35251 1550619410.131 * * [misc]simplify: Extracting #6: cost 0 inf + 47711 1550619410.147 * * [misc]simplify: Extracting #7: cost 0 inf + 47571 1550619410.157 * [exit]simplify: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) 1550619410.157 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619410.157 * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # 1550619410.157 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1550619410.157 * * [misc]simplify: iters left: 6 (15 enodes) 1550619410.163 * * [misc]simplify: iters left: 5 (60 enodes) 1550619410.173 * * [misc]simplify: iters left: 4 (111 enodes) 1550619410.203 * * [misc]simplify: iters left: 3 (294 enodes) 1550619410.343 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619410.343 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619410.344 * * [misc]simplify: Extracting #2: cost 142 inf + 0 1550619410.345 * * [misc]simplify: Extracting #3: cost 317 inf + 187 1550619410.348 * * [misc]simplify: Extracting #4: cost 290 inf + 2919 1550619410.360 * * [misc]simplify: Extracting #5: cost 105 inf + 47243 1550619410.381 * * [misc]simplify: Extracting #6: cost 3 inf + 79409 1550619410.396 * * [misc]simplify: Extracting #7: cost 0 inf + 77357 1550619410.419 * [exit]simplify: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) 1550619410.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619410.419 * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # 1550619410.419 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550619410.419 * * [misc]simplify: iters left: 4 (5 enodes) 1550619410.421 * * [misc]simplify: iters left: 3 (19 enodes) 1550619410.424 * * [misc]simplify: iters left: 2 (27 enodes) 1550619410.428 * * [misc]simplify: iters left: 1 (32 enodes) 1550619410.434 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619410.434 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619410.434 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550619410.434 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550619410.434 * [exit]simplify: Simplified to (* (* PI n) 2) 1550619410.434 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1550619410.435 * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # 1550619410.435 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550619410.435 * * [misc]simplify: iters left: 4 (5 enodes) 1550619410.436 * * [misc]simplify: iters left: 3 (19 enodes) 1550619410.439 * * [misc]simplify: iters left: 2 (27 enodes) 1550619410.443 * * [misc]simplify: iters left: 1 (32 enodes) 1550619410.450 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619410.450 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619410.450 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550619410.450 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550619410.451 * [exit]simplify: Simplified to (* (* PI n) 2) 1550619410.451 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1550619410.451 * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # 1550619410.451 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550619410.451 * * [misc]simplify: iters left: 4 (5 enodes) 1550619410.454 * * [misc]simplify: iters left: 3 (19 enodes) 1550619410.460 * * [misc]simplify: iters left: 2 (27 enodes) 1550619410.468 * * [misc]simplify: iters left: 1 (32 enodes) 1550619410.476 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619410.476 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619410.476 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550619410.476 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550619410.476 * [exit]simplify: Simplified to (* (* PI n) 2) 1550619410.476 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1550619410.476 * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # 1550619410.477 * [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)))))))))))))))))))))) 1550619410.477 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619410.478 * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # 1550619410.478 * [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)))))))) 1550619410.478 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619410.478 * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # 1550619410.478 * [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))))))))))) 1550619410.479 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619410.479 * * * [misc]progress: adding candidates to table 1550619411.330 * * [misc]progress: iteration 2 / 4 1550619411.330 * * * [misc]progress: picking best candidate 1550619411.365 * * * * [misc]pick: Picked # 1550619411.365 * * * [misc]progress: localizing error 1550619411.389 * * * [misc]progress: generating rewritten candidates 1550619411.389 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1550619411.392 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1550619411.396 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1550619411.416 * * * [misc]progress: generating series expansions 1550619411.416 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1550619411.416 * [misc]backup-simplify: Simplify (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1550619411.416 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1550619411.416 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1550619411.417 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1550619411.417 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1550619411.417 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619411.417 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.417 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619411.417 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.417 * [misc]taylor: Taking taylor expansion of k in k 1550619411.417 * [misc]backup-simplify: Simplify 0 into 0 1550619411.417 * [misc]backup-simplify: Simplify 1 into 1 1550619411.417 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1550619411.417 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1550619411.417 * [misc]taylor: Taking taylor expansion of 2 in k 1550619411.417 * [misc]backup-simplify: Simplify 2 into 2 1550619411.417 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550619411.417 * [misc]taylor: Taking taylor expansion of n in k 1550619411.417 * [misc]backup-simplify: Simplify n into n 1550619411.417 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.417 * [misc]backup-simplify: Simplify PI into PI 1550619411.417 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550619411.417 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1550619411.417 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1550619411.417 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619411.418 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.418 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619411.418 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1550619411.418 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1550619411.418 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550619411.418 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550619411.418 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550619411.418 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619411.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.418 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619411.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.418 * [misc]taylor: Taking taylor expansion of k in n 1550619411.418 * [misc]backup-simplify: Simplify k into k 1550619411.418 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550619411.418 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619411.418 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.418 * [misc]backup-simplify: Simplify 2 into 2 1550619411.418 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619411.418 * [misc]taylor: Taking taylor expansion of n in n 1550619411.419 * [misc]backup-simplify: Simplify 0 into 0 1550619411.419 * [misc]backup-simplify: Simplify 1 into 1 1550619411.419 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.419 * [misc]backup-simplify: Simplify PI into PI 1550619411.419 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619411.419 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619411.420 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619411.420 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619411.421 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.421 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619411.421 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619411.421 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619411.422 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.422 * [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)))) 1550619411.423 * [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))))) 1550619411.423 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550619411.423 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550619411.423 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550619411.423 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619411.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.423 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619411.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.423 * [misc]taylor: Taking taylor expansion of k in n 1550619411.423 * [misc]backup-simplify: Simplify k into k 1550619411.423 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550619411.423 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619411.423 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.423 * [misc]backup-simplify: Simplify 2 into 2 1550619411.423 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619411.423 * [misc]taylor: Taking taylor expansion of n in n 1550619411.423 * [misc]backup-simplify: Simplify 0 into 0 1550619411.423 * [misc]backup-simplify: Simplify 1 into 1 1550619411.423 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.423 * [misc]backup-simplify: Simplify PI into PI 1550619411.424 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619411.424 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619411.424 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619411.425 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619411.425 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.426 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619411.426 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619411.426 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619411.426 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.427 * [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)))) 1550619411.428 * [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))))) 1550619411.428 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1550619411.428 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1550619411.428 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619411.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.428 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619411.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.428 * [misc]taylor: Taking taylor expansion of k in k 1550619411.428 * [misc]backup-simplify: Simplify 0 into 0 1550619411.428 * [misc]backup-simplify: Simplify 1 into 1 1550619411.428 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1550619411.428 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619411.428 * [misc]taylor: Taking taylor expansion of n in k 1550619411.428 * [misc]backup-simplify: Simplify n into n 1550619411.428 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619411.428 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550619411.428 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550619411.428 * [misc]taylor: Taking taylor expansion of 2 in k 1550619411.428 * [misc]backup-simplify: Simplify 2 into 2 1550619411.428 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.428 * [misc]backup-simplify: Simplify PI into PI 1550619411.428 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.429 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.429 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619411.430 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.430 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619411.430 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.431 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1550619411.431 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550619411.432 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550619411.433 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619411.434 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550619411.436 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619411.437 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1550619411.437 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.437 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.438 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.439 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1550619411.445 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619411.445 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.445 * [misc]backup-simplify: Simplify 0 into 0 1550619411.445 * [misc]backup-simplify: Simplify 0 into 0 1550619411.445 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550619411.446 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619411.447 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619411.447 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.448 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619411.448 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619411.448 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619411.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1550619411.449 * [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))))))) 1550619411.450 * [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))))))) 1550619411.451 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619411.452 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550619411.454 * [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 1550619411.455 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550619411.455 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.455 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.455 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.456 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550619411.457 * [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 1550619411.457 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.457 * [misc]backup-simplify: Simplify 0 into 0 1550619411.457 * [misc]backup-simplify: Simplify 0 into 0 1550619411.457 * [misc]backup-simplify: Simplify 0 into 0 1550619411.458 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550619411.459 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619411.461 * [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 1550619411.461 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.462 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619411.462 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.462 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.462 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550619411.464 * [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))))) 1550619411.466 * [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))))) 1550619411.470 * [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))))) 1550619411.471 * [misc]backup-simplify: Simplify (pow (/ (* -2 PI) (/ -1 (/ 1 n))) (- 1/2 (* 1/2 (/ 1 k)))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619411.471 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1550619411.471 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619411.471 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1550619411.471 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1550619411.471 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619411.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.471 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619411.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.471 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.471 * [misc]taylor: Taking taylor expansion of k in k 1550619411.471 * [misc]backup-simplify: Simplify 0 into 0 1550619411.471 * [misc]backup-simplify: Simplify 1 into 1 1550619411.472 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.472 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1550619411.472 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1550619411.472 * [misc]taylor: Taking taylor expansion of 2 in k 1550619411.472 * [misc]backup-simplify: Simplify 2 into 2 1550619411.472 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619411.472 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.472 * [misc]backup-simplify: Simplify PI into PI 1550619411.472 * [misc]taylor: Taking taylor expansion of n in k 1550619411.472 * [misc]backup-simplify: Simplify n into n 1550619411.472 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619411.472 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1550619411.472 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1550619411.472 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619411.472 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619411.472 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619411.473 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1550619411.473 * [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)))) 1550619411.473 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619411.473 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550619411.473 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550619411.473 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619411.473 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.473 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619411.473 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.473 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.473 * [misc]taylor: Taking taylor expansion of k in n 1550619411.473 * [misc]backup-simplify: Simplify k into k 1550619411.473 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.473 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550619411.473 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619411.473 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.473 * [misc]backup-simplify: Simplify 2 into 2 1550619411.473 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.473 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.473 * [misc]backup-simplify: Simplify PI into PI 1550619411.473 * [misc]taylor: Taking taylor expansion of n in n 1550619411.473 * [misc]backup-simplify: Simplify 0 into 0 1550619411.473 * [misc]backup-simplify: Simplify 1 into 1 1550619411.474 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.474 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.474 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.474 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619411.475 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619411.475 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619411.475 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.476 * [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))) 1550619411.476 * [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)))) 1550619411.477 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619411.477 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550619411.477 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550619411.477 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619411.477 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.477 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619411.477 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.477 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.477 * [misc]taylor: Taking taylor expansion of k in n 1550619411.477 * [misc]backup-simplify: Simplify k into k 1550619411.477 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.477 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550619411.477 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619411.477 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.477 * [misc]backup-simplify: Simplify 2 into 2 1550619411.477 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.477 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.477 * [misc]backup-simplify: Simplify PI into PI 1550619411.477 * [misc]taylor: Taking taylor expansion of n in n 1550619411.477 * [misc]backup-simplify: Simplify 0 into 0 1550619411.477 * [misc]backup-simplify: Simplify 1 into 1 1550619411.477 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.478 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.478 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.478 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619411.478 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619411.478 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619411.479 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.480 * [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))) 1550619411.481 * [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)))) 1550619411.481 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1550619411.481 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1550619411.481 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619411.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.481 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619411.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.481 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.481 * [misc]taylor: Taking taylor expansion of k in k 1550619411.481 * [misc]backup-simplify: Simplify 0 into 0 1550619411.481 * [misc]backup-simplify: Simplify 1 into 1 1550619411.481 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.481 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1550619411.481 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550619411.481 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550619411.481 * [misc]taylor: Taking taylor expansion of 2 in k 1550619411.481 * [misc]backup-simplify: Simplify 2 into 2 1550619411.481 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.481 * [misc]backup-simplify: Simplify PI into PI 1550619411.482 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.482 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.482 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619411.482 * [misc]taylor: Taking taylor expansion of n in k 1550619411.482 * [misc]backup-simplify: Simplify n into n 1550619411.482 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619411.483 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619411.483 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619411.483 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619411.483 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619411.483 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1550619411.484 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1550619411.485 * [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)))) 1550619411.485 * [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)))) 1550619411.486 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619411.487 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619411.489 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619411.489 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619411.489 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619411.489 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.489 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.490 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.490 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1550619411.491 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619411.491 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.491 * [misc]backup-simplify: Simplify 0 into 0 1550619411.491 * [misc]backup-simplify: Simplify 0 into 0 1550619411.491 * [misc]backup-simplify: Simplify 0 into 0 1550619411.492 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.493 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619411.495 * [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 1550619411.495 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.496 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619411.496 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.496 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.496 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.497 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1550619411.498 * [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 1550619411.498 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.498 * [misc]backup-simplify: Simplify 0 into 0 1550619411.498 * [misc]backup-simplify: Simplify 0 into 0 1550619411.498 * [misc]backup-simplify: Simplify 0 into 0 1550619411.498 * [misc]backup-simplify: Simplify 0 into 0 1550619411.499 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.500 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619411.504 * [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 1550619411.504 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.505 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619411.505 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.505 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.506 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1550619411.508 * [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 1550619411.508 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.508 * [misc]backup-simplify: Simplify 0 into 0 1550619411.508 * [misc]backup-simplify: Simplify 0 into 0 1550619411.508 * [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))))) 1550619411.509 * [misc]backup-simplify: Simplify (pow (/ (* -2 PI) (/ -1 (/ 1 (- n)))) (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619411.509 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1550619411.509 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619411.509 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1550619411.509 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1550619411.509 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619411.509 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619411.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.509 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.509 * [misc]taylor: Taking taylor expansion of k in k 1550619411.509 * [misc]backup-simplify: Simplify 0 into 0 1550619411.509 * [misc]backup-simplify: Simplify 1 into 1 1550619411.509 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.509 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1550619411.509 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1550619411.509 * [misc]taylor: Taking taylor expansion of -2 in k 1550619411.509 * [misc]backup-simplify: Simplify -2 into -2 1550619411.509 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619411.509 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.509 * [misc]backup-simplify: Simplify PI into PI 1550619411.509 * [misc]taylor: Taking taylor expansion of n in k 1550619411.509 * [misc]backup-simplify: Simplify n into n 1550619411.509 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619411.509 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1550619411.509 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1550619411.510 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619411.510 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619411.510 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1550619411.510 * [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))) 1550619411.510 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619411.510 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550619411.510 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550619411.510 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619411.510 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619411.510 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.510 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.510 * [misc]taylor: Taking taylor expansion of k in n 1550619411.510 * [misc]backup-simplify: Simplify k into k 1550619411.510 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.510 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.510 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550619411.510 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619411.510 * [misc]taylor: Taking taylor expansion of -2 in n 1550619411.510 * [misc]backup-simplify: Simplify -2 into -2 1550619411.510 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.510 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.510 * [misc]backup-simplify: Simplify PI into PI 1550619411.510 * [misc]taylor: Taking taylor expansion of n in n 1550619411.510 * [misc]backup-simplify: Simplify 0 into 0 1550619411.510 * [misc]backup-simplify: Simplify 1 into 1 1550619411.510 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.511 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619411.511 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619411.511 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619411.511 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619411.511 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619411.512 * [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))) 1550619411.512 * [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)))) 1550619411.512 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619411.512 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550619411.512 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550619411.512 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619411.512 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619411.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.512 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.512 * [misc]taylor: Taking taylor expansion of k in n 1550619411.512 * [misc]backup-simplify: Simplify k into k 1550619411.512 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.512 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550619411.512 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619411.513 * [misc]taylor: Taking taylor expansion of -2 in n 1550619411.513 * [misc]backup-simplify: Simplify -2 into -2 1550619411.513 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.513 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.513 * [misc]backup-simplify: Simplify PI into PI 1550619411.513 * [misc]taylor: Taking taylor expansion of n in n 1550619411.513 * [misc]backup-simplify: Simplify 0 into 0 1550619411.513 * [misc]backup-simplify: Simplify 1 into 1 1550619411.513 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.513 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619411.513 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619411.513 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619411.513 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619411.514 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619411.514 * [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))) 1550619411.515 * [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)))) 1550619411.515 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1550619411.515 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1550619411.515 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619411.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619411.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.515 * [misc]taylor: Taking taylor expansion of k in k 1550619411.515 * [misc]backup-simplify: Simplify 0 into 0 1550619411.515 * [misc]backup-simplify: Simplify 1 into 1 1550619411.515 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.515 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1550619411.515 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1550619411.515 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1550619411.515 * [misc]taylor: Taking taylor expansion of -2 in k 1550619411.515 * [misc]backup-simplify: Simplify -2 into -2 1550619411.515 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.515 * [misc]backup-simplify: Simplify PI into PI 1550619411.515 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619411.515 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619411.515 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619411.516 * [misc]taylor: Taking taylor expansion of n in k 1550619411.516 * [misc]backup-simplify: Simplify n into n 1550619411.516 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619411.516 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619411.516 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619411.516 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619411.516 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1550619411.517 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1550619411.517 * [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)))) 1550619411.518 * [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)))) 1550619411.519 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619411.519 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550619411.522 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1550619411.522 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619411.522 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619411.523 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.523 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619411.524 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1550619411.525 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619411.525 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.525 * [misc]backup-simplify: Simplify 0 into 0 1550619411.525 * [misc]backup-simplify: Simplify 0 into 0 1550619411.525 * [misc]backup-simplify: Simplify 0 into 0 1550619411.527 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.528 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619411.533 * [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 1550619411.533 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619411.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.534 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619411.534 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1550619411.536 * [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 1550619411.536 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.536 * [misc]backup-simplify: Simplify 0 into 0 1550619411.536 * [misc]backup-simplify: Simplify 0 into 0 1550619411.536 * [misc]backup-simplify: Simplify 0 into 0 1550619411.536 * [misc]backup-simplify: Simplify 0 into 0 1550619411.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.538 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619411.542 * [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 1550619411.542 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.543 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619411.543 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.543 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619411.544 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1550619411.546 * [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 1550619411.546 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.546 * [misc]backup-simplify: Simplify 0 into 0 1550619411.546 * [misc]backup-simplify: Simplify 0 into 0 1550619411.547 * [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))))) 1550619411.547 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1550619411.547 * [misc]backup-simplify: Simplify (/ (* -2 PI) (/ -1 n)) into (* 2 (* n PI)) 1550619411.547 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1550619411.547 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619411.547 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.547 * [misc]backup-simplify: Simplify 2 into 2 1550619411.547 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619411.547 * [misc]taylor: Taking taylor expansion of n in n 1550619411.547 * [misc]backup-simplify: Simplify 0 into 0 1550619411.547 * [misc]backup-simplify: Simplify 1 into 1 1550619411.547 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.547 * [misc]backup-simplify: Simplify PI into PI 1550619411.547 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619411.547 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.547 * [misc]backup-simplify: Simplify 2 into 2 1550619411.547 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619411.547 * [misc]taylor: Taking taylor expansion of n in n 1550619411.547 * [misc]backup-simplify: Simplify 0 into 0 1550619411.547 * [misc]backup-simplify: Simplify 1 into 1 1550619411.547 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.547 * [misc]backup-simplify: Simplify PI into PI 1550619411.547 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619411.548 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619411.548 * [misc]backup-simplify: Simplify 0 into 0 1550619411.548 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619411.548 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619411.549 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.549 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619411.550 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550619411.550 * [misc]backup-simplify: Simplify 0 into 0 1550619411.551 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619411.551 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550619411.551 * [misc]backup-simplify: Simplify 0 into 0 1550619411.553 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619411.554 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1550619411.554 * [misc]backup-simplify: Simplify 0 into 0 1550619411.556 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550619411.558 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1550619411.558 * [misc]backup-simplify: Simplify 0 into 0 1550619411.560 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550619411.562 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1550619411.563 * [misc]backup-simplify: Simplify 0 into 0 1550619411.567 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1550619411.571 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1550619411.571 * [misc]backup-simplify: Simplify 0 into 0 1550619411.571 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1550619411.572 * [misc]backup-simplify: Simplify (/ (* -2 PI) (/ -1 (/ 1 n))) into (* 2 (/ PI n)) 1550619411.572 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1550619411.572 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619411.572 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.572 * [misc]backup-simplify: Simplify 2 into 2 1550619411.572 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.572 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.572 * [misc]backup-simplify: Simplify PI into PI 1550619411.572 * [misc]taylor: Taking taylor expansion of n in n 1550619411.572 * [misc]backup-simplify: Simplify 0 into 0 1550619411.572 * [misc]backup-simplify: Simplify 1 into 1 1550619411.572 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.572 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619411.572 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.572 * [misc]backup-simplify: Simplify 2 into 2 1550619411.572 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.572 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.572 * [misc]backup-simplify: Simplify PI into PI 1550619411.572 * [misc]taylor: Taking taylor expansion of n in n 1550619411.572 * [misc]backup-simplify: Simplify 0 into 0 1550619411.572 * [misc]backup-simplify: Simplify 1 into 1 1550619411.573 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.573 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.573 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.574 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619411.575 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619411.575 * [misc]backup-simplify: Simplify 0 into 0 1550619411.576 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.577 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619411.577 * [misc]backup-simplify: Simplify 0 into 0 1550619411.579 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.580 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619411.580 * [misc]backup-simplify: Simplify 0 into 0 1550619411.582 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.584 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619411.584 * [misc]backup-simplify: Simplify 0 into 0 1550619411.587 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.589 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550619411.589 * [misc]backup-simplify: Simplify 0 into 0 1550619411.592 * [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 1550619411.595 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550619411.595 * [misc]backup-simplify: Simplify 0 into 0 1550619411.596 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1550619411.596 * [misc]backup-simplify: Simplify (/ (* -2 PI) (/ -1 (/ 1 (- n)))) into (* -2 (/ PI n)) 1550619411.596 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1550619411.596 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619411.596 * [misc]taylor: Taking taylor expansion of -2 in n 1550619411.596 * [misc]backup-simplify: Simplify -2 into -2 1550619411.596 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.596 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.596 * [misc]backup-simplify: Simplify PI into PI 1550619411.596 * [misc]taylor: Taking taylor expansion of n in n 1550619411.596 * [misc]backup-simplify: Simplify 0 into 0 1550619411.596 * [misc]backup-simplify: Simplify 1 into 1 1550619411.597 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.597 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619411.597 * [misc]taylor: Taking taylor expansion of -2 in n 1550619411.597 * [misc]backup-simplify: Simplify -2 into -2 1550619411.597 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.597 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.597 * [misc]backup-simplify: Simplify PI into PI 1550619411.597 * [misc]taylor: Taking taylor expansion of n in n 1550619411.597 * [misc]backup-simplify: Simplify 0 into 0 1550619411.597 * [misc]backup-simplify: Simplify 1 into 1 1550619411.597 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.597 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619411.597 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619411.598 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619411.598 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550619411.598 * [misc]backup-simplify: Simplify 0 into 0 1550619411.599 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.600 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619411.600 * [misc]backup-simplify: Simplify 0 into 0 1550619411.601 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.601 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619411.601 * [misc]backup-simplify: Simplify 0 into 0 1550619411.603 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.604 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619411.604 * [misc]backup-simplify: Simplify 0 into 0 1550619411.605 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.606 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550619411.606 * [misc]backup-simplify: Simplify 0 into 0 1550619411.608 * [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 1550619411.610 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550619411.610 * [misc]backup-simplify: Simplify 0 into 0 1550619411.610 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1550619411.610 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1550619411.610 * [misc]backup-simplify: Simplify (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1550619411.610 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1550619411.610 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1550619411.610 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619411.610 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.610 * [misc]taylor: Taking taylor expansion of k in k 1550619411.610 * [misc]backup-simplify: Simplify 0 into 0 1550619411.610 * [misc]backup-simplify: Simplify 1 into 1 1550619411.611 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.611 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619411.611 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619411.611 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1550619411.611 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1550619411.611 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1550619411.611 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619411.611 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.611 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619411.611 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.611 * [misc]taylor: Taking taylor expansion of k in k 1550619411.611 * [misc]backup-simplify: Simplify 0 into 0 1550619411.611 * [misc]backup-simplify: Simplify 1 into 1 1550619411.611 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1550619411.611 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1550619411.611 * [misc]taylor: Taking taylor expansion of 2 in k 1550619411.611 * [misc]backup-simplify: Simplify 2 into 2 1550619411.611 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550619411.611 * [misc]taylor: Taking taylor expansion of n in k 1550619411.611 * [misc]backup-simplify: Simplify n into n 1550619411.611 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.611 * [misc]backup-simplify: Simplify PI into PI 1550619411.611 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550619411.611 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1550619411.611 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1550619411.612 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619411.612 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.612 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619411.612 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1550619411.612 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1550619411.612 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of k in n 1550619411.612 * [misc]backup-simplify: Simplify k into k 1550619411.612 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.612 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550619411.612 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619411.612 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550619411.612 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.612 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.612 * [misc]taylor: Taking taylor expansion of k in n 1550619411.612 * [misc]backup-simplify: Simplify k into k 1550619411.612 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.612 * [misc]backup-simplify: Simplify 2 into 2 1550619411.612 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619411.612 * [misc]taylor: Taking taylor expansion of n in n 1550619411.612 * [misc]backup-simplify: Simplify 0 into 0 1550619411.612 * [misc]backup-simplify: Simplify 1 into 1 1550619411.613 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.613 * [misc]backup-simplify: Simplify PI into PI 1550619411.613 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619411.613 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619411.613 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619411.614 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619411.614 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.614 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619411.614 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619411.614 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619411.614 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.615 * [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)))) 1550619411.615 * [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))))) 1550619411.615 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1550619411.615 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550619411.615 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.615 * [misc]taylor: Taking taylor expansion of k in n 1550619411.615 * [misc]backup-simplify: Simplify k into k 1550619411.615 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.615 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550619411.615 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619411.615 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550619411.615 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550619411.615 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550619411.616 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550619411.616 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619411.616 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.616 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619411.616 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.616 * [misc]taylor: Taking taylor expansion of k in n 1550619411.616 * [misc]backup-simplify: Simplify k into k 1550619411.616 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550619411.616 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550619411.616 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.616 * [misc]backup-simplify: Simplify 2 into 2 1550619411.616 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619411.616 * [misc]taylor: Taking taylor expansion of n in n 1550619411.616 * [misc]backup-simplify: Simplify 0 into 0 1550619411.616 * [misc]backup-simplify: Simplify 1 into 1 1550619411.616 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.616 * [misc]backup-simplify: Simplify PI into PI 1550619411.616 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619411.616 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550619411.616 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619411.617 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550619411.617 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.617 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619411.617 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619411.617 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619411.618 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.618 * [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)))) 1550619411.618 * [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))))) 1550619411.619 * [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))) 1550619411.619 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1550619411.619 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1550619411.619 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1550619411.619 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619411.619 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.619 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619411.619 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.619 * [misc]taylor: Taking taylor expansion of k in k 1550619411.619 * [misc]backup-simplify: Simplify 0 into 0 1550619411.619 * [misc]backup-simplify: Simplify 1 into 1 1550619411.619 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1550619411.619 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619411.619 * [misc]taylor: Taking taylor expansion of n in k 1550619411.619 * [misc]backup-simplify: Simplify n into n 1550619411.619 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619411.619 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550619411.619 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550619411.619 * [misc]taylor: Taking taylor expansion of 2 in k 1550619411.619 * [misc]backup-simplify: Simplify 2 into 2 1550619411.619 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.619 * [misc]backup-simplify: Simplify PI into PI 1550619411.619 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.620 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.620 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619411.620 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.620 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619411.620 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.621 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1550619411.621 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550619411.621 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619411.621 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.621 * [misc]taylor: Taking taylor expansion of k in k 1550619411.621 * [misc]backup-simplify: Simplify 0 into 0 1550619411.621 * [misc]backup-simplify: Simplify 1 into 1 1550619411.621 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.621 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619411.622 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619411.622 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1550619411.622 * [misc]backup-simplify: Simplify 0 into 0 1550619411.623 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619411.623 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550619411.625 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619411.625 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1550619411.626 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.626 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.627 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.627 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1550619411.629 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619411.630 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1550619411.630 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.630 * [misc]backup-simplify: Simplify 0 into 0 1550619411.631 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550619411.631 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619411.634 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619411.634 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.634 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619411.634 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619411.635 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619411.635 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1550619411.637 * [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))))))) 1550619411.639 * [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))))))) 1550619411.639 * [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))))))) 1550619411.641 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619411.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550619411.647 * [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 1550619411.648 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550619411.648 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.648 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.649 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.650 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550619411.652 * [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 1550619411.652 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.653 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1550619411.654 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1550619411.654 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.654 * [misc]backup-simplify: Simplify 0 into 0 1550619411.654 * [misc]backup-simplify: Simplify 0 into 0 1550619411.655 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550619411.656 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619411.657 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550619411.658 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619411.663 * [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 1550619411.663 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619411.664 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550619411.666 * [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))))) 1550619411.669 * [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)))))))) 1550619411.670 * [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)))))))) 1550619411.671 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619411.673 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1550619411.677 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1550619411.677 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1550619411.678 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.678 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550619411.679 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1550619411.681 * [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 1550619411.682 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.682 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1550619411.682 * [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 1550619411.682 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.682 * [misc]backup-simplify: Simplify 0 into 0 1550619411.682 * [misc]backup-simplify: Simplify 0 into 0 1550619411.683 * [misc]backup-simplify: Simplify 0 into 0 1550619411.683 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.683 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619411.685 * [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 1550619411.687 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619411.695 * [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 1550619411.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619411.696 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.697 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1550619411.701 * [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))))))) 1550619411.706 * [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)))))))))))))) 1550619411.710 * [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)))))))))))))) 1550619411.716 * [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)))))))))))))))))))))) 1550619411.717 * [misc]backup-simplify: Simplify (/ (pow (/ (* -2 PI) (/ -1 (/ 1 n))) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619411.717 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1550619411.717 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619411.717 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619411.717 * [misc]taylor: Taking taylor expansion of k in k 1550619411.717 * [misc]backup-simplify: Simplify 0 into 0 1550619411.717 * [misc]backup-simplify: Simplify 1 into 1 1550619411.717 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619411.717 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619411.717 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619411.717 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1550619411.717 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1550619411.717 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619411.717 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.718 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619411.718 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.718 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.718 * [misc]taylor: Taking taylor expansion of k in k 1550619411.718 * [misc]backup-simplify: Simplify 0 into 0 1550619411.718 * [misc]backup-simplify: Simplify 1 into 1 1550619411.718 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.718 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1550619411.718 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1550619411.718 * [misc]taylor: Taking taylor expansion of 2 in k 1550619411.718 * [misc]backup-simplify: Simplify 2 into 2 1550619411.718 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619411.718 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.718 * [misc]backup-simplify: Simplify PI into PI 1550619411.718 * [misc]taylor: Taking taylor expansion of n in k 1550619411.718 * [misc]backup-simplify: Simplify n into n 1550619411.718 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619411.718 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1550619411.718 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1550619411.718 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619411.718 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619411.718 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619411.718 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1550619411.718 * [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)))) 1550619411.718 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of k in n 1550619411.719 * [misc]backup-simplify: Simplify k into k 1550619411.719 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550619411.719 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550619411.719 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.719 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.719 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of k in n 1550619411.719 * [misc]backup-simplify: Simplify k into k 1550619411.719 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.719 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.719 * [misc]backup-simplify: Simplify 2 into 2 1550619411.719 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.719 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.719 * [misc]backup-simplify: Simplify PI into PI 1550619411.719 * [misc]taylor: Taking taylor expansion of n in n 1550619411.719 * [misc]backup-simplify: Simplify 0 into 0 1550619411.719 * [misc]backup-simplify: Simplify 1 into 1 1550619411.719 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.719 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.720 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.720 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619411.720 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619411.720 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619411.720 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.721 * [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))) 1550619411.721 * [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)))) 1550619411.721 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619411.721 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of k in n 1550619411.722 * [misc]backup-simplify: Simplify k into k 1550619411.722 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550619411.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550619411.722 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of k in n 1550619411.722 * [misc]backup-simplify: Simplify k into k 1550619411.722 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.722 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of 2 in n 1550619411.722 * [misc]backup-simplify: Simplify 2 into 2 1550619411.722 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.722 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.722 * [misc]backup-simplify: Simplify PI into PI 1550619411.722 * [misc]taylor: Taking taylor expansion of n in n 1550619411.722 * [misc]backup-simplify: Simplify 0 into 0 1550619411.722 * [misc]backup-simplify: Simplify 1 into 1 1550619411.723 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.723 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.723 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.723 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619411.723 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619411.724 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619411.724 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.725 * [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))) 1550619411.725 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1550619411.726 * [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)) 1550619411.726 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1550619411.726 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1550619411.726 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1550619411.726 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619411.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619411.727 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.727 * [misc]taylor: Taking taylor expansion of k in k 1550619411.727 * [misc]backup-simplify: Simplify 0 into 0 1550619411.727 * [misc]backup-simplify: Simplify 1 into 1 1550619411.727 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.727 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1550619411.727 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550619411.727 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550619411.727 * [misc]taylor: Taking taylor expansion of 2 in k 1550619411.727 * [misc]backup-simplify: Simplify 2 into 2 1550619411.727 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.727 * [misc]backup-simplify: Simplify PI into PI 1550619411.727 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550619411.728 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550619411.728 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619411.728 * [misc]taylor: Taking taylor expansion of n in k 1550619411.728 * [misc]backup-simplify: Simplify n into n 1550619411.728 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619411.728 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619411.728 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619411.728 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619411.728 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619411.729 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1550619411.729 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1550619411.730 * [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)))) 1550619411.730 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619411.730 * [misc]taylor: Taking taylor expansion of k in k 1550619411.730 * [misc]backup-simplify: Simplify 0 into 0 1550619411.730 * [misc]backup-simplify: Simplify 1 into 1 1550619411.730 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619411.731 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619411.731 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1550619411.731 * [misc]backup-simplify: Simplify 0 into 0 1550619411.733 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619411.733 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550619411.736 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550619411.736 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619411.736 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619411.736 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.737 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.738 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1550619411.739 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619411.740 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1550619411.740 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.740 * [misc]backup-simplify: Simplify 0 into 0 1550619411.740 * [misc]backup-simplify: Simplify 0 into 0 1550619411.741 * [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)))))) 1550619411.742 * [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)))))) 1550619411.743 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.744 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619411.749 * [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 1550619411.749 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.749 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619411.749 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.749 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.750 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.751 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1550619411.754 * [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 1550619411.755 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1550619411.755 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1550619411.756 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.756 * [misc]backup-simplify: Simplify 0 into 0 1550619411.756 * [misc]backup-simplify: Simplify 0 into 0 1550619411.756 * [misc]backup-simplify: Simplify 0 into 0 1550619411.757 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619411.758 * [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)))))) 1550619411.759 * [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)))))) 1550619411.761 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.762 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619411.770 * [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 1550619411.770 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.771 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619411.771 * [misc]backup-simplify: Simplify (- 0) into 0 1550619411.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.772 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550619411.773 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1550619411.776 * [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 1550619411.776 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1550619411.777 * [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 1550619411.777 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.777 * [misc]backup-simplify: Simplify 0 into 0 1550619411.777 * [misc]backup-simplify: Simplify 0 into 0 1550619411.777 * [misc]backup-simplify: Simplify 0 into 0 1550619411.777 * [misc]backup-simplify: Simplify 0 into 0 1550619411.778 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619411.778 * [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)))))) 1550619411.779 * [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)))))) 1550619411.780 * [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)))))))) 1550619411.781 * [misc]backup-simplify: Simplify (/ (pow (/ (* -2 PI) (/ -1 (/ 1 (- n)))) (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1550619411.781 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1550619411.781 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.781 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of k in k 1550619411.781 * [misc]backup-simplify: Simplify 0 into 0 1550619411.781 * [misc]backup-simplify: Simplify 1 into 1 1550619411.781 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.781 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.781 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of -2 in k 1550619411.781 * [misc]backup-simplify: Simplify -2 into -2 1550619411.781 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619411.781 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.781 * [misc]backup-simplify: Simplify PI into PI 1550619411.781 * [misc]taylor: Taking taylor expansion of n in k 1550619411.781 * [misc]backup-simplify: Simplify n into n 1550619411.781 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619411.781 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1550619411.781 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1550619411.781 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619411.782 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619411.782 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1550619411.782 * [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))) 1550619411.782 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619411.782 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619411.782 * [misc]taylor: Taking taylor expansion of -1 in k 1550619411.782 * [misc]backup-simplify: Simplify -1 into -1 1550619411.782 * [misc]taylor: Taking taylor expansion of k in k 1550619411.782 * [misc]backup-simplify: Simplify 0 into 0 1550619411.782 * [misc]backup-simplify: Simplify 1 into 1 1550619411.782 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619411.782 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619411.782 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619411.782 * [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)))) 1550619411.782 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1550619411.782 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619411.783 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550619411.783 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550619411.783 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619411.783 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619411.783 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.783 * [misc]taylor: Taking taylor expansion of k in n 1550619411.783 * [misc]backup-simplify: Simplify k into k 1550619411.783 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.783 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.783 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550619411.783 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619411.783 * [misc]taylor: Taking taylor expansion of -2 in n 1550619411.783 * [misc]backup-simplify: Simplify -2 into -2 1550619411.783 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.783 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.783 * [misc]backup-simplify: Simplify PI into PI 1550619411.783 * [misc]taylor: Taking taylor expansion of n in n 1550619411.783 * [misc]backup-simplify: Simplify 0 into 0 1550619411.783 * [misc]backup-simplify: Simplify 1 into 1 1550619411.783 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.783 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619411.783 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619411.783 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619411.784 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619411.784 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619411.784 * [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))) 1550619411.785 * [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)))) 1550619411.785 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550619411.785 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550619411.785 * [misc]taylor: Taking taylor expansion of -1 in n 1550619411.785 * [misc]backup-simplify: Simplify -1 into -1 1550619411.785 * [misc]taylor: Taking taylor expansion of k in n 1550619411.785 * [misc]backup-simplify: Simplify k into k 1550619411.785 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550619411.785 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550619411.785 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550619411.785 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550619411.785 * [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))) 1550619411.785 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1550619411.785 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619411.786 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550619411.786 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550619411.786 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619411.786 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619411.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.786 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619411.786 * [misc]taylor: Taking taylor expansion of k in n 1550619411.786 * [misc]backup-simplify: Simplify k into k 1550619411.786 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619411.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619411.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.786 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550619411.786 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550619411.786 * [misc]taylor: Taking taylor expansion of -2 in n 1550619411.786 * [misc]backup-simplify: Simplify -2 into -2 1550619411.786 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619411.786 * [misc]taylor: Taking taylor expansion of PI in n 1550619411.786 * [misc]backup-simplify: Simplify PI into PI 1550619411.786 * [misc]taylor: Taking taylor expansion of n in n 1550619411.786 * [misc]backup-simplify: Simplify 0 into 0 1550619411.786 * [misc]backup-simplify: Simplify 1 into 1 1550619411.786 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619411.786 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619411.787 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619411.787 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619411.787 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619411.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619411.787 * [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))) 1550619411.788 * [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)))) 1550619411.788 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550619411.788 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550619411.788 * [misc]taylor: Taking taylor expansion of -1 in n 1550619411.788 * [misc]backup-simplify: Simplify -1 into -1 1550619411.788 * [misc]taylor: Taking taylor expansion of k in n 1550619411.788 * [misc]backup-simplify: Simplify k into k 1550619411.788 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550619411.788 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550619411.788 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550619411.788 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550619411.789 * [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))) 1550619411.789 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1550619411.789 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1550619411.789 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1550619411.789 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619411.789 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619411.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.789 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619411.789 * [misc]taylor: Taking taylor expansion of k in k 1550619411.789 * [misc]backup-simplify: Simplify 0 into 0 1550619411.789 * [misc]backup-simplify: Simplify 1 into 1 1550619411.789 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619411.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619411.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619411.789 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1550619411.789 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1550619411.789 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1550619411.789 * [misc]taylor: Taking taylor expansion of -2 in k 1550619411.789 * [misc]backup-simplify: Simplify -2 into -2 1550619411.789 * [misc]taylor: Taking taylor expansion of PI in k 1550619411.789 * [misc]backup-simplify: Simplify PI into PI 1550619411.789 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550619411.790 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550619411.790 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619411.790 * [misc]taylor: Taking taylor expansion of n in k 1550619411.790 * [misc]backup-simplify: Simplify n into n 1550619411.790 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619411.790 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619411.790 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619411.790 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619411.790 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1550619411.791 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1550619411.791 * [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)))) 1550619411.791 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619411.791 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619411.791 * [misc]taylor: Taking taylor expansion of -1 in k 1550619411.791 * [misc]backup-simplify: Simplify -1 into -1 1550619411.791 * [misc]taylor: Taking taylor expansion of k in k 1550619411.791 * [misc]backup-simplify: Simplify 0 into 0 1550619411.791 * [misc]backup-simplify: Simplify 1 into 1 1550619411.791 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619411.791 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619411.791 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619411.792 * [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))))) 1550619411.792 * [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))))) 1550619411.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619411.793 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550619411.795 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1550619411.795 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619411.795 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619411.795 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.796 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619411.796 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1550619411.797 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619411.797 * [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 1550619411.797 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.797 * [misc]backup-simplify: Simplify 0 into 0 1550619411.797 * [misc]backup-simplify: Simplify 0 into 0 1550619411.798 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550619411.798 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619411.799 * [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)))))) 1550619411.799 * [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)))))) 1550619411.800 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.801 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550619411.804 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1550619411.804 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.804 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619411.804 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619411.804 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550619411.806 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1550619411.807 * [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 1550619411.807 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619411.808 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1550619411.808 * [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 1550619411.808 * [misc]taylor: Taking taylor expansion of 0 in k 1550619411.808 * [misc]backup-simplify: Simplify 0 into 0 1550619411.808 * [misc]backup-simplify: Simplify 0 into 0 1550619411.808 * [misc]backup-simplify: Simplify 0 into 0 1550619411.809 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619411.810 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619411.812 * [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)))))) 1550619411.812 * [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)))))) 1550619411.815 * [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))))))))))) 1550619411.815 * * * [misc]progress: simplifying candidates 1550619411.815 * * * * [misc]progress: [ 1 / 135 ] simplifiying candidate # 1550619411.815 * [enter]simplify: Simplifying (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k))) 1550619411.815 * * [misc]simplify: iters left: 6 (14 enodes) 1550619411.823 * * [misc]simplify: iters left: 5 (55 enodes) 1550619411.841 * * [misc]simplify: iters left: 4 (97 enodes) 1550619411.876 * * [misc]simplify: iters left: 3 (235 enodes) 1550619411.989 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619411.989 * * [misc]simplify: Extracting #1: cost 65 inf + 0 1550619411.990 * * [misc]simplify: Extracting #2: cost 228 inf + 1 1550619411.991 * * [misc]simplify: Extracting #3: cost 253 inf + 292 1550619411.993 * * [misc]simplify: Extracting #4: cost 200 inf + 9172 1550619412.000 * * [misc]simplify: Extracting #5: cost 58 inf + 44552 1550619412.017 * * [misc]simplify: Extracting #6: cost 0 inf + 62962 1550619412.041 * * [misc]simplify: Extracting #7: cost 0 inf + 62802 1550619412.066 * [exit]simplify: Simplified to (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))) 1550619412.066 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k))) 1550619412.066 * * * * [misc]progress: [ 2 / 135 ] simplifiying candidate # 1550619412.066 * [enter]simplify: Simplifying (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) 1550619412.067 * * [misc]simplify: iters left: 6 (13 enodes) 1550619412.073 * * [misc]simplify: iters left: 5 (51 enodes) 1550619412.086 * * [misc]simplify: iters left: 4 (101 enodes) 1550619412.104 * * [misc]simplify: iters left: 3 (228 enodes) 1550619412.185 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.185 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1550619412.185 * * [misc]simplify: Extracting #2: cost 157 inf + 1 1550619412.186 * * [misc]simplify: Extracting #3: cost 213 inf + 75 1550619412.187 * * [misc]simplify: Extracting #4: cost 166 inf + 7049 1550619412.193 * * [misc]simplify: Extracting #5: cost 21 inf + 31531 1550619412.200 * * [misc]simplify: Extracting #6: cost 0 inf + 35718 1550619412.207 * * [misc]simplify: Extracting #7: cost 0 inf + 35676 1550619412.217 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log (* PI (* 2 n)))) 1550619412.217 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log (* PI (* 2 n))))) (sqrt k))) 1550619412.217 * * * * [misc]progress: [ 3 / 135 ] simplifiying candidate # 1550619412.217 * * * * [misc]progress: [ 4 / 135 ] simplifiying candidate # 1550619412.217 * [enter]simplify: Simplifying (/ (* -2 PI) (/ -1 n)) 1550619412.217 * * [misc]simplify: iters left: 4 (7 enodes) 1550619412.219 * * [misc]simplify: iters left: 3 (26 enodes) 1550619412.224 * * [misc]simplify: iters left: 2 (44 enodes) 1550619412.231 * * [misc]simplify: iters left: 1 (76 enodes) 1550619412.243 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.243 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1550619412.244 * * [misc]simplify: Extracting #2: cost 27 inf + 132 1550619412.244 * * [misc]simplify: Extracting #3: cost 1 inf + 1593 1550619412.245 * * [misc]simplify: Extracting #4: cost 0 inf + 1676 1550619412.246 * [exit]simplify: Simplified to (/ (* PI n) 1/2) 1550619412.246 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (/ (* PI n) 1/2) (* 1 (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619412.247 * * * * [misc]progress: [ 5 / 135 ] simplifiying candidate # 1550619412.247 * [enter]simplify: Simplifying (pow (/ (* -2 PI) (/ -1 n)) (* 1/2 k)) 1550619412.247 * * [misc]simplify: iters left: 5 (11 enodes) 1550619412.253 * * [misc]simplify: iters left: 4 (39 enodes) 1550619412.265 * * [misc]simplify: iters left: 3 (56 enodes) 1550619412.276 * * [misc]simplify: iters left: 2 (86 enodes) 1550619412.288 * * [misc]simplify: iters left: 1 (116 enodes) 1550619412.305 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.305 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619412.305 * * [misc]simplify: Extracting #2: cost 32 inf + 0 1550619412.305 * * [misc]simplify: Extracting #3: cost 35 inf + 175 1550619412.306 * * [misc]simplify: Extracting #4: cost 6 inf + 1844 1550619412.306 * * [misc]simplify: Extracting #5: cost 0 inf + 2680 1550619412.307 * [exit]simplify: Simplified to (pow (* n (/ PI 1/2)) (* 1/2 k)) 1550619412.307 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (pow (* n (/ PI 1/2)) (* 1/2 k))) (sqrt k))) 1550619412.307 * * * * [misc]progress: [ 6 / 135 ] simplifiying candidate # 1550619412.307 * [enter]simplify: Simplifying (cbrt (- 1/2 (* 1/2 k))) 1550619412.308 * * [misc]simplify: iters left: 5 (5 enodes) 1550619412.309 * * [misc]simplify: iters left: 4 (18 enodes) 1550619412.312 * * [misc]simplify: iters left: 3 (28 enodes) 1550619412.316 * * [misc]simplify: iters left: 2 (35 enodes) 1550619412.321 * * [misc]simplify: iters left: 1 (43 enodes) 1550619412.328 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.328 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619412.328 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619412.328 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619412.328 * * [misc]simplify: Extracting #4: cost 9 inf + 129 1550619412.328 * * [misc]simplify: Extracting #5: cost 2 inf + 502 1550619412.329 * * [misc]simplify: Extracting #6: cost 0 inf + 826 1550619412.329 * [exit]simplify: Simplified to (cbrt (- 1/2 (* 1/2 k))) 1550619412.329 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619412.329 * * * * [misc]progress: [ 7 / 135 ] simplifiying candidate # 1550619412.329 * [enter]simplify: Simplifying (sqrt (- 1/2 (* 1/2 k))) 1550619412.329 * * [misc]simplify: iters left: 5 (5 enodes) 1550619412.331 * * [misc]simplify: iters left: 4 (18 enodes) 1550619412.333 * * [misc]simplify: iters left: 3 (28 enodes) 1550619412.338 * * [misc]simplify: iters left: 2 (35 enodes) 1550619412.342 * * [misc]simplify: iters left: 1 (43 enodes) 1550619412.349 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.349 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619412.349 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619412.349 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619412.349 * * [misc]simplify: Extracting #4: cost 9 inf + 129 1550619412.350 * * [misc]simplify: Extracting #5: cost 2 inf + 502 1550619412.350 * * [misc]simplify: Extracting #6: cost 0 inf + 746 1550619412.350 * [exit]simplify: Simplified to (sqrt (- 1/2 (* 1/2 k))) 1550619412.350 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619412.350 * * * * [misc]progress: [ 8 / 135 ] simplifiying candidate # 1550619412.350 * [enter]simplify: Simplifying (- 1/2 (* 1/2 k)) 1550619412.350 * * [misc]simplify: iters left: 4 (4 enodes) 1550619412.351 * * [misc]simplify: iters left: 3 (15 enodes) 1550619412.354 * * [misc]simplify: iters left: 2 (25 enodes) 1550619412.358 * * [misc]simplify: iters left: 1 (32 enodes) 1550619412.362 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.362 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619412.362 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619412.363 * * [misc]simplify: Extracting #3: cost 9 inf + 45 1550619412.363 * * [misc]simplify: Extracting #4: cost 2 inf + 418 1550619412.363 * * [misc]simplify: Extracting #5: cost 0 inf + 582 1550619412.363 * [exit]simplify: Simplified to (- 1/2 (* 1/2 k)) 1550619412.363 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) 1) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619412.363 * * * * [misc]progress: [ 9 / 135 ] simplifiying candidate # 1550619412.363 * [enter]simplify: Simplifying (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) 1550619412.363 * * [misc]simplify: iters left: 5 (12 enodes) 1550619412.367 * * [misc]simplify: iters left: 4 (47 enodes) 1550619412.375 * * [misc]simplify: iters left: 3 (70 enodes) 1550619412.387 * * [misc]simplify: iters left: 2 (100 enodes) 1550619412.401 * * [misc]simplify: iters left: 1 (130 enodes) 1550619412.419 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.419 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619412.419 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1550619412.419 * * [misc]simplify: Extracting #3: cost 35 inf + 385 1550619412.420 * * [misc]simplify: Extracting #4: cost 9 inf + 1722 1550619412.420 * * [misc]simplify: Extracting #5: cost 1 inf + 2514 1550619412.421 * * [misc]simplify: Extracting #6: cost 0 inf + 2849 1550619412.422 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (* -1/2 k)) 1550619412.422 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (/ (* -2 PI) (/ -1 n)) 1/2) (pow (* (* n 2) PI) (* -1/2 k))) (sqrt k))) 1550619412.422 * * * * [misc]progress: [ 10 / 135 ] simplifiying candidate # 1550619412.422 * [enter]simplify: Simplifying (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) 1550619412.422 * * [misc]simplify: iters left: 5 (12 enodes) 1550619412.426 * * [misc]simplify: iters left: 4 (47 enodes) 1550619412.440 * * [misc]simplify: iters left: 3 (70 enodes) 1550619412.461 * * [misc]simplify: iters left: 2 (100 enodes) 1550619412.480 * * [misc]simplify: iters left: 1 (130 enodes) 1550619412.499 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.499 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619412.499 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1550619412.499 * * [misc]simplify: Extracting #3: cost 35 inf + 385 1550619412.500 * * [misc]simplify: Extracting #4: cost 9 inf + 1722 1550619412.501 * * [misc]simplify: Extracting #5: cost 1 inf + 2514 1550619412.503 * * [misc]simplify: Extracting #6: cost 0 inf + 2849 1550619412.504 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (* -1/2 k)) 1550619412.504 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (/ (* -2 PI) (/ -1 n)) 1/2) (pow (* (* n 2) PI) (* -1/2 k))) (sqrt k))) 1550619412.504 * * * * [misc]progress: [ 11 / 135 ] simplifiying candidate # 1550619412.505 * [enter]simplify: Simplifying (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) 1550619412.505 * * [misc]simplify: iters left: 6 (14 enodes) 1550619412.511 * * [misc]simplify: iters left: 5 (50 enodes) 1550619412.525 * * [misc]simplify: iters left: 4 (77 enodes) 1550619412.537 * * [misc]simplify: iters left: 3 (114 enodes) 1550619412.553 * * [misc]simplify: iters left: 2 (152 enodes) 1550619412.584 * * [misc]simplify: iters left: 1 (186 enodes) 1550619412.608 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.608 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619412.608 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550619412.608 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1550619412.609 * * [misc]simplify: Extracting #4: cost 37 inf + 88 1550619412.609 * * [misc]simplify: Extracting #5: cost 39 inf + 509 1550619412.609 * * [misc]simplify: Extracting #6: cost 11 inf + 2293 1550619412.611 * * [misc]simplify: Extracting #7: cost 0 inf + 3982 1550619412.611 * [exit]simplify: Simplified to (pow (* (cbrt (/ (* PI n) 1/2)) (cbrt (/ (* PI n) 1/2))) (- 1/2 (* 1/2 k))) 1550619412.612 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt (/ (* PI n) 1/2)) (cbrt (/ (* PI n) 1/2))) (- 1/2 (* 1/2 k))) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619412.612 * * * * [misc]progress: [ 12 / 135 ] simplifiying candidate # 1550619412.612 * [enter]simplify: Simplifying (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) 1550619412.612 * * [misc]simplify: iters left: 6 (13 enodes) 1550619412.615 * * [misc]simplify: iters left: 5 (47 enodes) 1550619412.625 * * [misc]simplify: iters left: 4 (74 enodes) 1550619412.640 * * [misc]simplify: iters left: 3 (111 enodes) 1550619412.657 * * [misc]simplify: iters left: 2 (149 enodes) 1550619412.686 * * [misc]simplify: iters left: 1 (183 enodes) 1550619412.710 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.710 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619412.710 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550619412.710 * * [misc]simplify: Extracting #3: cost 39 inf + 1 1550619412.711 * * [misc]simplify: Extracting #4: cost 41 inf + 261 1550619412.711 * * [misc]simplify: Extracting #5: cost 9 inf + 2011 1550619412.712 * * [misc]simplify: Extracting #6: cost 1 inf + 2923 1550619412.713 * * [misc]simplify: Extracting #7: cost 0 inf + 3338 1550619412.714 * [exit]simplify: Simplified to (pow (sqrt (* 2 (* PI n))) (- 1/2 (* k 1/2))) 1550619412.714 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt (* 2 (* PI n))) (- 1/2 (* k 1/2))) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619412.714 * * * * [misc]progress: [ 13 / 135 ] simplifiying candidate # 1550619412.714 * [enter]simplify: Simplifying (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) 1550619412.714 * * [misc]simplify: iters left: 6 (12 enodes) 1550619412.718 * * [misc]simplify: iters left: 5 (41 enodes) 1550619412.726 * * [misc]simplify: iters left: 4 (53 enodes) 1550619412.734 * * [misc]simplify: iters left: 3 (60 enodes) 1550619412.749 * * [misc]simplify: iters left: 2 (68 enodes) 1550619412.770 * * [misc]simplify: iters left: 1 (77 enodes) 1550619412.788 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.788 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619412.788 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550619412.788 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619412.789 * * [misc]simplify: Extracting #4: cost 19 inf + 214 1550619412.789 * * [misc]simplify: Extracting #5: cost 12 inf + 505 1550619412.789 * * [misc]simplify: Extracting #6: cost 6 inf + 1198 1550619412.790 * * [misc]simplify: Extracting #7: cost 1 inf + 2384 1550619412.791 * * [misc]simplify: Extracting #8: cost 0 inf + 2879 1550619412.792 * [exit]simplify: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1550619412.792 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619412.792 * * * * [misc]progress: [ 14 / 135 ] simplifiying candidate # 1550619412.793 * [enter]simplify: Simplifying (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1550619412.793 * * [misc]simplify: iters left: 6 (11 enodes) 1550619412.798 * * [misc]simplify: iters left: 5 (36 enodes) 1550619412.809 * * [misc]simplify: iters left: 4 (46 enodes) 1550619412.822 * * [misc]simplify: iters left: 3 (53 enodes) 1550619412.837 * * [misc]simplify: iters left: 2 (61 enodes) 1550619412.855 * * [misc]simplify: iters left: 1 (70 enodes) 1550619412.874 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.874 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619412.874 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550619412.874 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550619412.874 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1550619412.875 * * [misc]simplify: Extracting #5: cost 11 inf + 340 1550619412.875 * * [misc]simplify: Extracting #6: cost 4 inf + 794 1550619412.876 * * [misc]simplify: Extracting #7: cost 0 inf + 1829 1550619412.876 * [exit]simplify: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) 1550619412.877 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619412.877 * * * * [misc]progress: [ 15 / 135 ] simplifiying candidate # 1550619412.877 * [enter]simplify: Simplifying (pow (/ -2 1) (- 1/2 (* 1/2 k))) 1550619412.877 * * [misc]simplify: iters left: 5 (8 enodes) 1550619412.882 * * [misc]simplify: iters left: 4 (27 enodes) 1550619412.892 * * [misc]simplify: iters left: 3 (39 enodes) 1550619412.902 * * [misc]simplify: iters left: 2 (45 enodes) 1550619412.913 * * [misc]simplify: iters left: 1 (49 enodes) 1550619412.927 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.927 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619412.927 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619412.927 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619412.927 * * [misc]simplify: Extracting #4: cost 9 inf + 130 1550619412.927 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1550619412.928 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619412.929 * [exit]simplify: Simplified to (pow -2 (- 1/2 (* 1/2 k))) 1550619412.929 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow -2 (- 1/2 (* 1/2 k))) (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619412.929 * * * * [misc]progress: [ 16 / 135 ] simplifiying candidate # 1550619412.929 * [enter]simplify: Simplifying (pow (/ -2 -1) (- 1/2 (* 1/2 k))) 1550619412.929 * * [misc]simplify: iters left: 5 (8 enodes) 1550619412.934 * * [misc]simplify: iters left: 4 (28 enodes) 1550619412.943 * * [misc]simplify: iters left: 3 (38 enodes) 1550619412.953 * * [misc]simplify: iters left: 2 (45 enodes) 1550619412.966 * * [misc]simplify: iters left: 1 (53 enodes) 1550619412.982 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619412.982 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619412.982 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619412.982 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619412.983 * * [misc]simplify: Extracting #4: cost 9 inf + 130 1550619412.983 * * [misc]simplify: Extracting #5: cost 2 inf + 754 1550619412.983 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619412.984 * [exit]simplify: Simplified to (pow 2 (- 1/2 (* 1/2 k))) 1550619412.984 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (- 1/2 (* 1/2 k))) (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619412.984 * * * * [misc]progress: [ 17 / 135 ] simplifiying candidate # 1550619412.984 * [enter]simplify: Simplifying (pow 1 (- 1/2 (* 1/2 k))) 1550619412.984 * * [misc]simplify: iters left: 5 (6 enodes) 1550619412.988 * * [misc]simplify: iters left: 4 (21 enodes) 1550619412.995 * * [misc]simplify: iters left: 3 (33 enodes) 1550619413.006 * * [misc]simplify: iters left: 2 (39 enodes) 1550619413.011 * * [misc]simplify: iters left: 1 (43 enodes) 1550619413.018 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.018 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619413.018 * [exit]simplify: Simplified to 1 1550619413.018 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619413.018 * * * * [misc]progress: [ 18 / 135 ] simplifiying candidate # 1550619413.018 * [enter]simplify: Simplifying (pow (* -2 PI) (- 1/2 (* 1/2 k))) 1550619413.018 * * [misc]simplify: iters left: 5 (8 enodes) 1550619413.020 * * [misc]simplify: iters left: 4 (28 enodes) 1550619413.025 * * [misc]simplify: iters left: 3 (38 enodes) 1550619413.031 * * [misc]simplify: iters left: 2 (45 enodes) 1550619413.038 * * [misc]simplify: iters left: 1 (53 enodes) 1550619413.047 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.047 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619413.047 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550619413.047 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1550619413.048 * * [misc]simplify: Extracting #4: cost 9 inf + 215 1550619413.048 * * [misc]simplify: Extracting #5: cost 2 inf + 880 1550619413.048 * * [misc]simplify: Extracting #6: cost 0 inf + 1256 1550619413.048 * [exit]simplify: Simplified to (pow (* -2 PI) (- 1/2 (* 1/2 k))) 1550619413.048 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* -2 PI) (- 1/2 (* 1/2 k))) (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619413.048 * * * * [misc]progress: [ 19 / 135 ] simplifiying candidate # 1550619413.049 * [enter]simplify: Simplifying (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) 1550619413.049 * * [misc]simplify: iters left: 5 (10 enodes) 1550619413.051 * * [misc]simplify: iters left: 4 (36 enodes) 1550619413.058 * * [misc]simplify: iters left: 3 (53 enodes) 1550619413.066 * * [misc]simplify: iters left: 2 (62 enodes) 1550619413.075 * * [misc]simplify: iters left: 1 (70 enodes) 1550619413.095 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.095 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619413.095 * * [misc]simplify: Extracting #2: cost 16 inf + 0 1550619413.097 * * [misc]simplify: Extracting #3: cost 20 inf + 5 1550619413.098 * * [misc]simplify: Extracting #4: cost 4 inf + 967 1550619413.098 * * [misc]simplify: Extracting #5: cost 0 inf + 1426 1550619413.099 * [exit]simplify: Simplified to (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1550619413.099 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619413.099 * * * * [misc]progress: [ 20 / 135 ] simplifiying candidate # 1550619413.099 * * * * [misc]progress: [ 21 / 135 ] simplifiying candidate # 1550619413.099 * * * * [misc]progress: [ 22 / 135 ] simplifiying candidate # 1550619413.099 * * * * [misc]progress: [ 23 / 135 ] simplifiying candidate # 1550619413.100 * * * * [misc]progress: [ 24 / 135 ] simplifiying candidate # 1550619413.100 * * * * [misc]progress: [ 25 / 135 ] simplifiying candidate # 1550619413.100 * * * * [misc]progress: [ 26 / 135 ] simplifiying candidate # 1550619413.100 * * * * [misc]progress: [ 27 / 135 ] simplifiying candidate #real (real->posit16 (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt k)))> 1550619413.100 * * * * [misc]progress: [ 28 / 135 ] simplifiying candidate # 1550619413.100 * * * * [misc]progress: [ 29 / 135 ] simplifiying candidate # 1550619413.100 * [enter]simplify: Simplifying (- (log (* -2 PI)) (log (/ -1 n))) 1550619413.100 * * [misc]simplify: iters left: 5 (9 enodes) 1550619413.106 * * [misc]simplify: iters left: 4 (36 enodes) 1550619413.118 * * [misc]simplify: iters left: 3 (56 enodes) 1550619413.135 * * [misc]simplify: iters left: 2 (82 enodes) 1550619413.160 * * [misc]simplify: iters left: 1 (118 enodes) 1550619413.199 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.199 * * [misc]simplify: Extracting #1: cost 31 inf + 0 1550619413.200 * * [misc]simplify: Extracting #2: cost 57 inf + 0 1550619413.200 * * [misc]simplify: Extracting #3: cost 46 inf + 927 1550619413.202 * * [misc]simplify: Extracting #4: cost 7 inf + 7743 1550619413.206 * * [misc]simplify: Extracting #5: cost 0 inf + 9000 1550619413.209 * [exit]simplify: Simplified to (- (log (* -2 PI)) (log (/ -1 n))) 1550619413.209 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (- (log (* -2 PI)) (log (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.209 * * * * [misc]progress: [ 30 / 135 ] simplifiying candidate # 1550619413.209 * * * * [misc]progress: [ 31 / 135 ] simplifiying candidate # 1550619413.209 * * * * [misc]progress: [ 32 / 135 ] simplifiying candidate # 1550619413.210 * [enter]simplify: Simplifying (/ (* (* (* -2 PI) (* -2 PI)) (* -2 PI)) (* (* (/ -1 n) (/ -1 n)) (/ -1 n))) 1550619413.210 * * [misc]simplify: iters left: 6 (11 enodes) 1550619413.216 * * [misc]simplify: iters left: 5 (55 enodes) 1550619413.232 * * [misc]simplify: iters left: 4 (191 enodes) 1550619413.350 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.350 * * [misc]simplify: Extracting #1: cost 95 inf + 0 1550619413.352 * * [misc]simplify: Extracting #2: cost 263 inf + 1355 1550619413.364 * * [misc]simplify: Extracting #3: cost 99 inf + 30272 1550619413.387 * * [misc]simplify: Extracting #4: cost 0 inf + 46172 1550619413.412 * * [misc]simplify: Extracting #5: cost 0 inf + 44288 1550619413.436 * * [misc]simplify: Extracting #6: cost 0 inf + 43722 1550619413.449 * [exit]simplify: Simplified to (* (* (* n (/ PI 1/2)) (* n (/ PI 1/2))) (* n (/ PI 1/2))) 1550619413.449 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* n (/ PI 1/2)) (* n (/ PI 1/2))) (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.449 * * * * [misc]progress: [ 33 / 135 ] simplifiying candidate # 1550619413.449 * * * * [misc]progress: [ 34 / 135 ] simplifiying candidate # 1550619413.449 * * * * [misc]progress: [ 35 / 135 ] simplifiying candidate # 1550619413.449 * * * * [misc]progress: [ 36 / 135 ] simplifiying candidate # 1550619413.449 * * * * [misc]progress: [ 37 / 135 ] simplifiying candidate # 1550619413.449 * [enter]simplify: Simplifying (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) 1550619413.449 * * [misc]simplify: iters left: 6 (7 enodes) 1550619413.452 * * [misc]simplify: iters left: 5 (23 enodes) 1550619413.459 * * [misc]simplify: iters left: 4 (25 enodes) 1550619413.466 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.466 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619413.467 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619413.467 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1550619413.467 * * [misc]simplify: Extracting #4: cost 8 inf + 87 1550619413.467 * * [misc]simplify: Extracting #5: cost 4 inf + 656 1550619413.467 * * [misc]simplify: Extracting #6: cost 1 inf + 1184 1550619413.468 * * [misc]simplify: Extracting #7: cost 0 inf + 1387 1550619413.468 * [exit]simplify: Simplified to (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) 1550619413.468 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (/ PI (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.469 * [enter]simplify: Simplifying (/ PI (cbrt (/ -1 n))) 1550619413.469 * * [misc]simplify: iters left: 5 (6 enodes) 1550619413.471 * * [misc]simplify: iters left: 4 (18 enodes) 1550619413.477 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.477 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619413.477 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619413.477 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1550619413.477 * * [misc]simplify: Extracting #4: cost 0 inf + 657 1550619413.477 * [exit]simplify: Simplified to (/ PI (cbrt (/ -1 n))) 1550619413.477 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.478 * * * * [misc]progress: [ 38 / 135 ] simplifiying candidate # 1550619413.478 * [enter]simplify: Simplifying (/ -2 (sqrt (/ -1 n))) 1550619413.478 * * [misc]simplify: iters left: 5 (6 enodes) 1550619413.481 * * [misc]simplify: iters left: 4 (18 enodes) 1550619413.487 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.487 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619413.487 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619413.487 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1550619413.487 * * [misc]simplify: Extracting #4: cost 0 inf + 497 1550619413.488 * [exit]simplify: Simplified to (/ -2 (sqrt (/ -1 n))) 1550619413.488 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.488 * [enter]simplify: Simplifying (/ PI (sqrt (/ -1 n))) 1550619413.488 * * [misc]simplify: iters left: 5 (6 enodes) 1550619413.491 * * [misc]simplify: iters left: 4 (18 enodes) 1550619413.496 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.496 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619413.496 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619413.496 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1550619413.496 * * [misc]simplify: Extracting #4: cost 0 inf + 497 1550619413.497 * [exit]simplify: Simplified to (/ PI (sqrt (/ -1 n))) 1550619413.497 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.497 * * * * [misc]progress: [ 39 / 135 ] simplifiying candidate # 1550619413.497 * [enter]simplify: Simplifying (/ -2 1) 1550619413.497 * * [misc]simplify: iters left: 2 (3 enodes) 1550619413.499 * * [misc]simplify: iters left: 1 (9 enodes) 1550619413.503 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.503 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619413.503 * [exit]simplify: Simplified to -2 1550619413.503 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* -2 (/ PI (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.503 * [enter]simplify: Simplifying (/ PI (/ -1 n)) 1550619413.503 * * [misc]simplify: iters left: 4 (5 enodes) 1550619413.506 * * [misc]simplify: iters left: 3 (17 enodes) 1550619413.511 * * [misc]simplify: iters left: 2 (22 enodes) 1550619413.515 * * [misc]simplify: iters left: 1 (26 enodes) 1550619413.518 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.518 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619413.518 * * [misc]simplify: Extracting #2: cost 8 inf + 3 1550619413.518 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550619413.518 * [exit]simplify: Simplified to (/ PI (/ -1 n)) 1550619413.518 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* -2 (/ PI (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.518 * * * * [misc]progress: [ 40 / 135 ] simplifiying candidate # 1550619413.519 * [enter]simplify: Simplifying (/ -2 -1) 1550619413.519 * * [misc]simplify: iters left: 2 (3 enodes) 1550619413.520 * * [misc]simplify: iters left: 1 (10 enodes) 1550619413.522 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.522 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619413.522 * [exit]simplify: Simplified to 2 1550619413.522 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* 2 (/ PI (/ 1 n))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.522 * [enter]simplify: Simplifying (/ PI (/ 1 n)) 1550619413.522 * * [misc]simplify: iters left: 4 (5 enodes) 1550619413.524 * * [misc]simplify: iters left: 3 (19 enodes) 1550619413.527 * * [misc]simplify: iters left: 2 (21 enodes) 1550619413.529 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.529 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619413.529 * * [misc]simplify: Extracting #2: cost 5 inf + 2 1550619413.529 * * [misc]simplify: Extracting #3: cost 0 inf + 171 1550619413.529 * [exit]simplify: Simplified to (* PI n) 1550619413.530 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.530 * * * * [misc]progress: [ 41 / 135 ] simplifiying candidate # 1550619413.530 * * * * [misc]progress: [ 42 / 135 ] simplifiying candidate # 1550619413.530 * * * * [misc]progress: [ 43 / 135 ] simplifiying candidate # 1550619413.530 * * * * [misc]progress: [ 44 / 135 ] simplifiying candidate # 1550619413.530 * [enter]simplify: Simplifying (cbrt (/ -1 n)) 1550619413.530 * * [misc]simplify: iters left: 3 (4 enodes) 1550619413.531 * * [misc]simplify: iters left: 2 (12 enodes) 1550619413.533 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.533 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619413.533 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619413.533 * * [misc]simplify: Extracting #3: cost 4 inf + 2 1550619413.533 * * [misc]simplify: Extracting #4: cost 0 inf + 330 1550619413.533 * [exit]simplify: Simplified to (cbrt (/ -1 n)) 1550619413.533 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.533 * * * * [misc]progress: [ 45 / 135 ] simplifiying candidate # 1550619413.533 * [enter]simplify: Simplifying (sqrt (/ -1 n)) 1550619413.533 * * [misc]simplify: iters left: 3 (4 enodes) 1550619413.535 * * [misc]simplify: iters left: 2 (12 enodes) 1550619413.536 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.536 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619413.537 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619413.537 * * [misc]simplify: Extracting #3: cost 4 inf + 2 1550619413.537 * * [misc]simplify: Extracting #4: cost 0 inf + 250 1550619413.537 * [exit]simplify: Simplified to (sqrt (/ -1 n)) 1550619413.537 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) (sqrt (/ -1 n))) (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.537 * * * * [misc]progress: [ 46 / 135 ] simplifiying candidate # 1550619413.537 * [enter]simplify: Simplifying (/ -1 n) 1550619413.537 * * [misc]simplify: iters left: 2 (3 enodes) 1550619413.538 * * [misc]simplify: iters left: 1 (9 enodes) 1550619413.539 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.539 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619413.539 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619413.539 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550619413.539 * [exit]simplify: Simplified to (/ -1 n) 1550619413.539 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) 1) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.540 * * * * [misc]progress: [ 47 / 135 ] simplifiying candidate # 1550619413.540 * [enter]simplify: Simplifying (/ 1 n) 1550619413.540 * * [misc]simplify: iters left: 2 (3 enodes) 1550619413.541 * * [misc]simplify: iters left: 1 (11 enodes) 1550619413.543 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.543 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619413.543 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619413.543 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550619413.543 * [exit]simplify: Simplified to (/ 1 n) 1550619413.543 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) -1) (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619413.543 * * * * [misc]progress: [ 48 / 135 ] simplifiying candidate # 1550619413.543 * * * * [misc]progress: [ 49 / 135 ] simplifiying candidate # 1550619413.543 * * * * [misc]progress: [ 50 / 135 ] simplifiying candidate #real (real->posit16 (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))> 1550619413.543 * * * * [misc]progress: [ 51 / 135 ] simplifiying candidate # 1550619413.543 * * * * [misc]progress: [ 52 / 135 ] simplifiying candidate # 1550619413.543 * [enter]simplify: Simplifying (- (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619413.543 * * [misc]simplify: iters left: 6 (17 enodes) 1550619413.551 * * [misc]simplify: iters left: 5 (66 enodes) 1550619413.571 * * [misc]simplify: iters left: 4 (111 enodes) 1550619413.601 * * [misc]simplify: iters left: 3 (273 enodes) 1550619413.749 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.750 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1550619413.751 * * [misc]simplify: Extracting #2: cost 246 inf + 0 1550619413.753 * * [misc]simplify: Extracting #3: cost 316 inf + 279 1550619413.757 * * [misc]simplify: Extracting #4: cost 287 inf + 4267 1550619413.769 * * [misc]simplify: Extracting #5: cost 191 inf + 25860 1550619413.783 * * [misc]simplify: Extracting #6: cost 31 inf + 82710 1550619413.802 * * [misc]simplify: Extracting #7: cost 0 inf + 95859 1550619413.838 * [exit]simplify: Simplified to (- (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))) (log (sqrt k))) 1550619413.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))) (log (sqrt k))))) 1550619413.838 * * * * [misc]progress: [ 53 / 135 ] simplifiying candidate # 1550619413.838 * [enter]simplify: Simplifying (- (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619413.838 * * [misc]simplify: iters left: 6 (16 enodes) 1550619413.842 * * [misc]simplify: iters left: 5 (62 enodes) 1550619413.853 * * [misc]simplify: iters left: 4 (115 enodes) 1550619413.875 * * [misc]simplify: iters left: 3 (254 enodes) 1550619413.965 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619413.965 * * [misc]simplify: Extracting #1: cost 31 inf + 0 1550619413.965 * * [misc]simplify: Extracting #2: cost 135 inf + 0 1550619413.966 * * [misc]simplify: Extracting #3: cost 219 inf + 3 1550619413.967 * * [misc]simplify: Extracting #4: cost 243 inf + 902 1550619413.969 * * [misc]simplify: Extracting #5: cost 165 inf + 14433 1550619413.976 * * [misc]simplify: Extracting #6: cost 43 inf + 40082 1550619413.985 * * [misc]simplify: Extracting #7: cost 1 inf + 48778 1550619413.995 * * [misc]simplify: Extracting #8: cost 0 inf + 49313 1550619414.012 * [exit]simplify: Simplified to (- (* (- 1/2 (* k 1/2)) (log (* (* n 2) PI))) (log (sqrt k))) 1550619414.012 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* k 1/2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1550619414.012 * * * * [misc]progress: [ 54 / 135 ] simplifiying candidate # 1550619414.013 * [enter]simplify: Simplifying (- (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619414.013 * * [misc]simplify: iters left: 6 (16 enodes) 1550619414.019 * * [misc]simplify: iters left: 5 (62 enodes) 1550619414.029 * * [misc]simplify: iters left: 4 (115 enodes) 1550619414.052 * * [misc]simplify: iters left: 3 (254 enodes) 1550619414.141 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619414.141 * * [misc]simplify: Extracting #1: cost 31 inf + 0 1550619414.141 * * [misc]simplify: Extracting #2: cost 135 inf + 0 1550619414.142 * * [misc]simplify: Extracting #3: cost 219 inf + 3 1550619414.143 * * [misc]simplify: Extracting #4: cost 243 inf + 902 1550619414.145 * * [misc]simplify: Extracting #5: cost 165 inf + 14433 1550619414.152 * * [misc]simplify: Extracting #6: cost 43 inf + 40082 1550619414.167 * * [misc]simplify: Extracting #7: cost 1 inf + 48778 1550619414.186 * * [misc]simplify: Extracting #8: cost 0 inf + 49313 1550619414.197 * [exit]simplify: Simplified to (- (* (- 1/2 (* k 1/2)) (log (* (* n 2) PI))) (log (sqrt k))) 1550619414.197 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* k 1/2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1550619414.197 * * * * [misc]progress: [ 55 / 135 ] simplifiying candidate # 1550619414.197 * [enter]simplify: Simplifying (- (log (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (log (sqrt k))) 1550619414.197 * * [misc]simplify: iters left: 6 (16 enodes) 1550619414.201 * * [misc]simplify: iters left: 5 (60 enodes) 1550619414.215 * * [misc]simplify: iters left: 4 (102 enodes) 1550619414.246 * * [misc]simplify: iters left: 3 (189 enodes) 1550619414.286 * * [misc]simplify: iters left: 2 (449 enodes) 1550619414.572 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619414.572 * * [misc]simplify: Extracting #1: cost 84 inf + 0 1550619414.573 * * [misc]simplify: Extracting #2: cost 364 inf + 0 1550619414.575 * * [misc]simplify: Extracting #3: cost 451 inf + 321 1550619414.581 * * [misc]simplify: Extracting #4: cost 455 inf + 5094 1550619414.587 * * [misc]simplify: Extracting #5: cost 298 inf + 36347 1550619414.610 * * [misc]simplify: Extracting #6: cost 69 inf + 92738 1550619414.653 * * [misc]simplify: Extracting #7: cost 1 inf + 115112 1550619414.699 * * [misc]simplify: Extracting #8: cost 0 inf + 115578 1550619414.745 * [exit]simplify: Simplified to (- (* (log (* n (/ PI 1/2))) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619414.745 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* n (/ PI 1/2))) (- 1/2 (* 1/2 k))) (log (sqrt k))))) 1550619414.746 * * * * [misc]progress: [ 56 / 135 ] simplifiying candidate # 1550619414.746 * * * * [misc]progress: [ 57 / 135 ] simplifiying candidate # 1550619414.746 * * * * [misc]progress: [ 58 / 135 ] simplifiying candidate # 1550619414.747 * [enter]simplify: Simplifying (/ (* (* (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1550619414.747 * * [misc]simplify: iters left: 6 (18 enodes) 1550619414.756 * * [misc]simplify: iters left: 5 (69 enodes) 1550619414.779 * * [misc]simplify: iters left: 4 (135 enodes) 1550619414.821 * * [misc]simplify: iters left: 3 (232 enodes) 1550619414.865 * * [misc]simplify: iters left: 2 (308 enodes) 1550619414.923 * * [misc]simplify: iters left: 1 (364 enodes) 1550619414.986 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619414.987 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1550619414.987 * * [misc]simplify: Extracting #2: cost 45 inf + 1 1550619414.987 * * [misc]simplify: Extracting #3: cost 68 inf + 165 1550619414.988 * * [misc]simplify: Extracting #4: cost 78 inf + 420 1550619414.990 * * [misc]simplify: Extracting #5: cost 44 inf + 2174 1550619414.995 * * [misc]simplify: Extracting #6: cost 13 inf + 14122 1550619415.003 * * [misc]simplify: Extracting #7: cost 0 inf + 20437 1550619415.012 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))) (* (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))) (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))))) (* (sqrt k) k)) 1550619415.012 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))) (* (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))) (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))))) (* (sqrt k) k)))) 1550619415.012 * * * * [misc]progress: [ 59 / 135 ] simplifiying candidate # 1550619415.012 * * * * [misc]progress: [ 60 / 135 ] simplifiying candidate # 1550619415.012 * * * * [misc]progress: [ 61 / 135 ] simplifiying candidate # 1550619415.012 * * * * [misc]progress: [ 62 / 135 ] simplifiying candidate # 1550619415.012 * * * * [misc]progress: [ 63 / 135 ] simplifiying candidate # 1550619415.013 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619415.013 * * [misc]simplify: iters left: 6 (14 enodes) 1550619415.023 * * [misc]simplify: iters left: 5 (50 enodes) 1550619415.038 * * [misc]simplify: iters left: 4 (69 enodes) 1550619415.054 * * [misc]simplify: iters left: 3 (99 enodes) 1550619415.069 * * [misc]simplify: iters left: 2 (129 enodes) 1550619415.090 * * [misc]simplify: iters left: 1 (154 enodes) 1550619415.124 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619415.124 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619415.124 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619415.124 * * [misc]simplify: Extracting #3: cost 36 inf + 1 1550619415.124 * * [misc]simplify: Extracting #4: cost 41 inf + 175 1550619415.125 * * [misc]simplify: Extracting #5: cost 11 inf + 2156 1550619415.126 * * [misc]simplify: Extracting #6: cost 1 inf + 3586 1550619415.126 * * [misc]simplify: Extracting #7: cost 0 inf + 3870 1550619415.127 * [exit]simplify: Simplified to (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619415.127 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k))))) 1550619415.128 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k))) 1550619415.128 * * [misc]simplify: iters left: 6 (15 enodes) 1550619415.132 * * [misc]simplify: iters left: 5 (56 enodes) 1550619415.142 * * [misc]simplify: iters left: 4 (79 enodes) 1550619415.154 * * [misc]simplify: iters left: 3 (109 enodes) 1550619415.174 * * [misc]simplify: iters left: 2 (139 enodes) 1550619415.210 * * [misc]simplify: iters left: 1 (163 enodes) 1550619415.237 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619415.237 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619415.237 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619415.237 * * [misc]simplify: Extracting #3: cost 38 inf + 0 1550619415.238 * * [misc]simplify: Extracting #4: cost 40 inf + 379 1550619415.239 * * [misc]simplify: Extracting #5: cost 10 inf + 2003 1550619415.240 * * [misc]simplify: Extracting #6: cost 0 inf + 3997 1550619415.242 * [exit]simplify: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (cbrt (sqrt k))) 1550619415.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (cbrt (sqrt k))))) 1550619415.243 * * * * [misc]progress: [ 64 / 135 ] simplifiying candidate # 1550619415.243 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k))) 1550619415.243 * * [misc]simplify: iters left: 6 (13 enodes) 1550619415.249 * * [misc]simplify: iters left: 5 (45 enodes) 1550619415.262 * * [misc]simplify: iters left: 4 (62 enodes) 1550619415.271 * * [misc]simplify: iters left: 3 (92 enodes) 1550619415.284 * * [misc]simplify: iters left: 2 (122 enodes) 1550619415.300 * * [misc]simplify: iters left: 1 (146 enodes) 1550619415.330 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619415.330 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619415.330 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619415.330 * * [misc]simplify: Extracting #3: cost 32 inf + 1 1550619415.330 * * [misc]simplify: Extracting #4: cost 34 inf + 383 1550619415.331 * * [misc]simplify: Extracting #5: cost 8 inf + 1879 1550619415.333 * * [misc]simplify: Extracting #6: cost 0 inf + 2740 1550619415.335 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1550619415.335 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k))))) 1550619415.335 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k))) 1550619415.335 * * [misc]simplify: iters left: 6 (15 enodes) 1550619415.342 * * [misc]simplify: iters left: 5 (56 enodes) 1550619415.351 * * [misc]simplify: iters left: 4 (79 enodes) 1550619415.362 * * [misc]simplify: iters left: 3 (109 enodes) 1550619415.386 * * [misc]simplify: iters left: 2 (139 enodes) 1550619415.411 * * [misc]simplify: iters left: 1 (163 enodes) 1550619415.433 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619415.433 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619415.433 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619415.433 * * [misc]simplify: Extracting #3: cost 38 inf + 0 1550619415.433 * * [misc]simplify: Extracting #4: cost 40 inf + 339 1550619415.434 * * [misc]simplify: Extracting #5: cost 10 inf + 1923 1550619415.435 * * [misc]simplify: Extracting #6: cost 0 inf + 3837 1550619415.436 * [exit]simplify: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (sqrt (sqrt k))) 1550619415.436 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (sqrt (sqrt k))))) 1550619415.436 * * * * [misc]progress: [ 65 / 135 ] simplifiying candidate # 1550619415.436 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1) 1550619415.436 * * [misc]simplify: iters left: 6 (11 enodes) 1550619415.439 * * [misc]simplify: iters left: 5 (39 enodes) 1550619415.447 * * [misc]simplify: iters left: 4 (60 enodes) 1550619415.456 * * [misc]simplify: iters left: 3 (90 enodes) 1550619415.477 * * [misc]simplify: iters left: 2 (120 enodes) 1550619415.511 * * [misc]simplify: iters left: 1 (145 enodes) 1550619415.536 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619415.536 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619415.536 * * [misc]simplify: Extracting #2: cost 25 inf + 2 1550619415.536 * * [misc]simplify: Extracting #3: cost 29 inf + 300 1550619415.537 * * [misc]simplify: Extracting #4: cost 3 inf + 1882 1550619415.537 * * [misc]simplify: Extracting #5: cost 0 inf + 2008 1550619415.538 * [exit]simplify: Simplified to (sqrt (* 2 (* PI n))) 1550619415.538 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 (* PI n))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k)))) 1550619415.538 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k)) 1550619415.539 * * [misc]simplify: iters left: 6 (14 enodes) 1550619415.542 * * [misc]simplify: iters left: 5 (53 enodes) 1550619415.553 * * [misc]simplify: iters left: 4 (76 enodes) 1550619415.571 * * [misc]simplify: iters left: 3 (106 enodes) 1550619415.586 * * [misc]simplify: iters left: 2 (136 enodes) 1550619415.617 * * [misc]simplify: iters left: 1 (161 enodes) 1550619415.642 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619415.642 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619415.642 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619415.642 * * [misc]simplify: Extracting #3: cost 33 inf + 83 1550619415.643 * * [misc]simplify: Extracting #4: cost 37 inf + 341 1550619415.643 * * [misc]simplify: Extracting #5: cost 9 inf + 1803 1550619415.644 * * [misc]simplify: Extracting #6: cost 1 inf + 3180 1550619415.645 * * [misc]simplify: Extracting #7: cost 0 inf + 3595 1550619415.646 * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt k)) 1550619415.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 (* PI n))) (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt k)))) 1550619415.646 * * * * [misc]progress: [ 66 / 135 ] simplifiying candidate # 1550619415.646 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619415.646 * * [misc]simplify: iters left: 6 (14 enodes) 1550619415.650 * * [misc]simplify: iters left: 5 (50 enodes) 1550619415.663 * * [misc]simplify: iters left: 4 (69 enodes) 1550619415.679 * * [misc]simplify: iters left: 3 (99 enodes) 1550619415.696 * * [misc]simplify: iters left: 2 (129 enodes) 1550619415.727 * * [misc]simplify: iters left: 1 (154 enodes) 1550619415.767 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619415.767 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619415.767 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619415.768 * * [misc]simplify: Extracting #3: cost 36 inf + 1 1550619415.768 * * [misc]simplify: Extracting #4: cost 41 inf + 175 1550619415.769 * * [misc]simplify: Extracting #5: cost 11 inf + 2156 1550619415.771 * * [misc]simplify: Extracting #6: cost 1 inf + 3586 1550619415.773 * * [misc]simplify: Extracting #7: cost 0 inf + 3870 1550619415.775 * [exit]simplify: Simplified to (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619415.775 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k))))) 1550619415.775 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k))) 1550619415.775 * * [misc]simplify: iters left: 6 (15 enodes) 1550619415.784 * * [misc]simplify: iters left: 5 (56 enodes) 1550619415.797 * * [misc]simplify: iters left: 4 (79 enodes) 1550619415.811 * * [misc]simplify: iters left: 3 (109 enodes) 1550619415.831 * * [misc]simplify: iters left: 2 (139 enodes) 1550619415.867 * * [misc]simplify: iters left: 1 (163 enodes) 1550619415.888 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619415.888 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619415.888 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619415.889 * * [misc]simplify: Extracting #3: cost 38 inf + 0 1550619415.889 * * [misc]simplify: Extracting #4: cost 40 inf + 379 1550619415.889 * * [misc]simplify: Extracting #5: cost 10 inf + 2003 1550619415.890 * * [misc]simplify: Extracting #6: cost 0 inf + 3997 1550619415.891 * [exit]simplify: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (cbrt (sqrt k))) 1550619415.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (cbrt (sqrt k))))) 1550619415.891 * * * * [misc]progress: [ 67 / 135 ] simplifiying candidate # 1550619415.891 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k))) 1550619415.891 * * [misc]simplify: iters left: 6 (13 enodes) 1550619415.897 * * [misc]simplify: iters left: 5 (45 enodes) 1550619415.913 * * [misc]simplify: iters left: 4 (62 enodes) 1550619415.933 * * [misc]simplify: iters left: 3 (92 enodes) 1550619415.958 * * [misc]simplify: iters left: 2 (122 enodes) 1550619415.989 * * [misc]simplify: iters left: 1 (146 enodes) 1550619416.009 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619416.009 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619416.009 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619416.009 * * [misc]simplify: Extracting #3: cost 32 inf + 1 1550619416.009 * * [misc]simplify: Extracting #4: cost 34 inf + 383 1550619416.010 * * [misc]simplify: Extracting #5: cost 8 inf + 1879 1550619416.011 * * [misc]simplify: Extracting #6: cost 0 inf + 2740 1550619416.011 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1550619416.011 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k))))) 1550619416.012 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k))) 1550619416.012 * * [misc]simplify: iters left: 6 (15 enodes) 1550619416.018 * * [misc]simplify: iters left: 5 (56 enodes) 1550619416.032 * * [misc]simplify: iters left: 4 (79 enodes) 1550619416.048 * * [misc]simplify: iters left: 3 (109 enodes) 1550619416.063 * * [misc]simplify: iters left: 2 (139 enodes) 1550619416.085 * * [misc]simplify: iters left: 1 (163 enodes) 1550619416.115 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619416.115 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619416.115 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619416.115 * * [misc]simplify: Extracting #3: cost 38 inf + 0 1550619416.115 * * [misc]simplify: Extracting #4: cost 40 inf + 339 1550619416.116 * * [misc]simplify: Extracting #5: cost 10 inf + 1923 1550619416.116 * * [misc]simplify: Extracting #6: cost 0 inf + 3837 1550619416.117 * [exit]simplify: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (sqrt (sqrt k))) 1550619416.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (sqrt (sqrt k))))) 1550619416.117 * * * * [misc]progress: [ 68 / 135 ] simplifiying candidate # 1550619416.118 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1) 1550619416.118 * * [misc]simplify: iters left: 6 (11 enodes) 1550619416.121 * * [misc]simplify: iters left: 5 (39 enodes) 1550619416.130 * * [misc]simplify: iters left: 4 (60 enodes) 1550619416.145 * * [misc]simplify: iters left: 3 (90 enodes) 1550619416.158 * * [misc]simplify: iters left: 2 (120 enodes) 1550619416.179 * * [misc]simplify: iters left: 1 (145 enodes) 1550619416.217 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619416.217 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619416.217 * * [misc]simplify: Extracting #2: cost 25 inf + 2 1550619416.217 * * [misc]simplify: Extracting #3: cost 29 inf + 300 1550619416.217 * * [misc]simplify: Extracting #4: cost 3 inf + 1882 1550619416.218 * * [misc]simplify: Extracting #5: cost 0 inf + 2008 1550619416.219 * [exit]simplify: Simplified to (sqrt (* 2 (* PI n))) 1550619416.219 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 (* PI n))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k)))) 1550619416.219 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k)) 1550619416.219 * * [misc]simplify: iters left: 6 (14 enodes) 1550619416.223 * * [misc]simplify: iters left: 5 (53 enodes) 1550619416.232 * * [misc]simplify: iters left: 4 (76 enodes) 1550619416.244 * * [misc]simplify: iters left: 3 (106 enodes) 1550619416.269 * * [misc]simplify: iters left: 2 (136 enodes) 1550619416.305 * * [misc]simplify: iters left: 1 (161 enodes) 1550619416.333 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619416.333 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619416.333 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619416.333 * * [misc]simplify: Extracting #3: cost 33 inf + 83 1550619416.334 * * [misc]simplify: Extracting #4: cost 37 inf + 341 1550619416.334 * * [misc]simplify: Extracting #5: cost 9 inf + 1803 1550619416.335 * * [misc]simplify: Extracting #6: cost 1 inf + 3180 1550619416.336 * * [misc]simplify: Extracting #7: cost 0 inf + 3595 1550619416.337 * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt k)) 1550619416.337 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 (* PI n))) (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt k)))) 1550619416.337 * * * * [misc]progress: [ 69 / 135 ] simplifiying candidate # 1550619416.338 * [enter]simplify: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619416.338 * * [misc]simplify: iters left: 6 (18 enodes) 1550619416.347 * * [misc]simplify: iters left: 5 (64 enodes) 1550619416.364 * * [misc]simplify: iters left: 4 (93 enodes) 1550619416.379 * * [misc]simplify: iters left: 3 (130 enodes) 1550619416.406 * * [misc]simplify: iters left: 2 (168 enodes) 1550619416.440 * * [misc]simplify: iters left: 1 (202 enodes) 1550619416.478 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619416.478 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619416.478 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619416.478 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550619416.478 * * [misc]simplify: Extracting #4: cost 28 inf + 2 1550619416.478 * * [misc]simplify: Extracting #5: cost 39 inf + 739 1550619416.479 * * [misc]simplify: Extracting #6: cost 39 inf + 1362 1550619416.481 * * [misc]simplify: Extracting #7: cost 11 inf + 3269 1550619416.483 * * [misc]simplify: Extracting #8: cost 4 inf + 4828 1550619416.485 * * [misc]simplify: Extracting #9: cost 0 inf + 7324 1550619416.488 * [exit]simplify: Simplified to (/ (pow (* (cbrt (/ PI (/ 1/2 n))) (cbrt (/ PI (/ 1/2 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619416.488 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (/ PI (/ 1/2 n))) (cbrt (/ PI (/ 1/2 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619416.489 * [enter]simplify: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619416.489 * * [misc]simplify: iters left: 6 (16 enodes) 1550619416.497 * * [misc]simplify: iters left: 5 (56 enodes) 1550619416.515 * * [misc]simplify: iters left: 4 (83 enodes) 1550619416.539 * * [misc]simplify: iters left: 3 (120 enodes) 1550619416.556 * * [misc]simplify: iters left: 2 (158 enodes) 1550619416.597 * * [misc]simplify: iters left: 1 (191 enodes) 1550619416.646 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619416.646 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619416.646 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619416.646 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550619416.646 * * [misc]simplify: Extracting #4: cost 43 inf + 43 1550619416.647 * * [misc]simplify: Extracting #5: cost 39 inf + 832 1550619416.648 * * [misc]simplify: Extracting #6: cost 10 inf + 2578 1550619416.651 * * [misc]simplify: Extracting #7: cost 1 inf + 4437 1550619416.652 * * [misc]simplify: Extracting #8: cost 0 inf + 5052 1550619416.653 * [exit]simplify: Simplified to (/ (pow (cbrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (cbrt (sqrt k))) 1550619416.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (cbrt (sqrt k))))) 1550619416.653 * * * * [misc]progress: [ 70 / 135 ] simplifiying candidate # 1550619416.653 * [enter]simplify: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619416.654 * * [misc]simplify: iters left: 6 (17 enodes) 1550619416.658 * * [misc]simplify: iters left: 5 (59 enodes) 1550619416.668 * * [misc]simplify: iters left: 4 (86 enodes) 1550619416.683 * * [misc]simplify: iters left: 3 (123 enodes) 1550619416.717 * * [misc]simplify: iters left: 2 (161 enodes) 1550619416.757 * * [misc]simplify: iters left: 1 (194 enodes) 1550619416.790 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619416.790 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619416.790 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619416.790 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550619416.790 * * [misc]simplify: Extracting #4: cost 20 inf + 207 1550619416.791 * * [misc]simplify: Extracting #5: cost 36 inf + 497 1550619416.791 * * [misc]simplify: Extracting #6: cost 38 inf + 877 1550619416.793 * * [misc]simplify: Extracting #7: cost 12 inf + 2497 1550619416.795 * * [misc]simplify: Extracting #8: cost 1 inf + 4840 1550619416.797 * * [misc]simplify: Extracting #9: cost 0 inf + 5454 1550619416.798 * [exit]simplify: Simplified to (/ (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619416.798 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619416.798 * [enter]simplify: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619416.798 * * [misc]simplify: iters left: 6 (16 enodes) 1550619416.803 * * [misc]simplify: iters left: 5 (56 enodes) 1550619416.812 * * [misc]simplify: iters left: 4 (83 enodes) 1550619416.825 * * [misc]simplify: iters left: 3 (120 enodes) 1550619416.851 * * [misc]simplify: iters left: 2 (158 enodes) 1550619416.877 * * [misc]simplify: iters left: 1 (191 enodes) 1550619416.908 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619416.908 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619416.908 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619416.908 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550619416.908 * * [misc]simplify: Extracting #4: cost 43 inf + 43 1550619416.908 * * [misc]simplify: Extracting #5: cost 39 inf + 752 1550619416.909 * * [misc]simplify: Extracting #6: cost 10 inf + 2498 1550619416.910 * * [misc]simplify: Extracting #7: cost 1 inf + 4317 1550619416.911 * * [misc]simplify: Extracting #8: cost 0 inf + 4892 1550619416.912 * [exit]simplify: Simplified to (/ (pow (cbrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619416.912 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (cbrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))) 1550619416.912 * * * * [misc]progress: [ 71 / 135 ] simplifiying candidate # 1550619416.912 * [enter]simplify: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) 1) 1550619416.913 * * [misc]simplify: iters left: 6 (16 enodes) 1550619416.917 * * [misc]simplify: iters left: 5 (56 enodes) 1550619416.936 * * [misc]simplify: iters left: 4 (85 enodes) 1550619416.955 * * [misc]simplify: iters left: 3 (121 enodes) 1550619416.973 * * [misc]simplify: iters left: 2 (155 enodes) 1550619417.008 * * [misc]simplify: iters left: 1 (187 enodes) 1550619417.035 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619417.035 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619417.035 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550619417.035 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1550619417.035 * * [misc]simplify: Extracting #4: cost 36 inf + 129 1550619417.036 * * [misc]simplify: Extracting #5: cost 36 inf + 634 1550619417.037 * * [misc]simplify: Extracting #6: cost 9 inf + 2295 1550619417.039 * * [misc]simplify: Extracting #7: cost 0 inf + 3982 1550619417.041 * [exit]simplify: Simplified to (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k))) 1550619417.041 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619417.042 * [enter]simplify: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619417.042 * * [misc]simplify: iters left: 6 (15 enodes) 1550619417.049 * * [misc]simplify: iters left: 5 (53 enodes) 1550619417.065 * * [misc]simplify: iters left: 4 (80 enodes) 1550619417.079 * * [misc]simplify: iters left: 3 (117 enodes) 1550619417.097 * * [misc]simplify: iters left: 2 (155 enodes) 1550619417.136 * * [misc]simplify: iters left: 1 (189 enodes) 1550619417.186 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619417.186 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619417.186 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619417.186 * * [misc]simplify: Extracting #3: cost 14 inf + 42 1550619417.186 * * [misc]simplify: Extracting #4: cost 38 inf + 208 1550619417.187 * * [misc]simplify: Extracting #5: cost 37 inf + 754 1550619417.188 * * [misc]simplify: Extracting #6: cost 12 inf + 2090 1550619417.190 * * [misc]simplify: Extracting #7: cost 1 inf + 4112 1550619417.192 * * [misc]simplify: Extracting #8: cost 0 inf + 4646 1550619417.194 * [exit]simplify: Simplified to (/ (pow (cbrt (/ (* PI n) 1/2)) (- 1/2 (* k 1/2))) (sqrt k)) 1550619417.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) 1) (/ (pow (cbrt (/ (* PI n) 1/2)) (- 1/2 (* k 1/2))) (sqrt k)))) 1550619417.194 * * * * [misc]progress: [ 72 / 135 ] simplifiying candidate # 1550619417.195 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619417.195 * * [misc]simplify: iters left: 6 (17 enodes) 1550619417.203 * * [misc]simplify: iters left: 5 (61 enodes) 1550619417.215 * * [misc]simplify: iters left: 4 (90 enodes) 1550619417.229 * * [misc]simplify: iters left: 3 (127 enodes) 1550619417.253 * * [misc]simplify: iters left: 2 (165 enodes) 1550619417.278 * * [misc]simplify: iters left: 1 (199 enodes) 1550619417.317 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619417.317 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619417.317 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619417.317 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550619417.317 * * [misc]simplify: Extracting #4: cost 46 inf + 85 1550619417.317 * * [misc]simplify: Extracting #5: cost 41 inf + 995 1550619417.318 * * [misc]simplify: Extracting #6: cost 11 inf + 2822 1550619417.319 * * [misc]simplify: Extracting #7: cost 2 inf + 5130 1550619417.320 * * [misc]simplify: Extracting #8: cost 0 inf + 6358 1550619417.322 * [exit]simplify: Simplified to (/ (pow (sqrt (* PI (/ n 1/2))) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619417.322 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (* PI (/ n 1/2))) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619417.322 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619417.322 * * [misc]simplify: iters left: 6 (16 enodes) 1550619417.326 * * [misc]simplify: iters left: 5 (56 enodes) 1550619417.335 * * [misc]simplify: iters left: 4 (83 enodes) 1550619417.355 * * [misc]simplify: iters left: 3 (120 enodes) 1550619417.387 * * [misc]simplify: iters left: 2 (158 enodes) 1550619417.431 * * [misc]simplify: iters left: 1 (191 enodes) 1550619417.484 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619417.484 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619417.484 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619417.484 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550619417.484 * * [misc]simplify: Extracting #4: cost 43 inf + 43 1550619417.485 * * [misc]simplify: Extracting #5: cost 39 inf + 832 1550619417.486 * * [misc]simplify: Extracting #6: cost 10 inf + 2498 1550619417.488 * * [misc]simplify: Extracting #7: cost 1 inf + 4237 1550619417.490 * * [misc]simplify: Extracting #8: cost 0 inf + 4812 1550619417.492 * [exit]simplify: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (cbrt (sqrt k))) 1550619417.492 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (cbrt (sqrt k))))) 1550619417.493 * * * * [misc]progress: [ 73 / 135 ] simplifiying candidate # 1550619417.493 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619417.493 * * [misc]simplify: iters left: 6 (16 enodes) 1550619417.497 * * [misc]simplify: iters left: 5 (56 enodes) 1550619417.507 * * [misc]simplify: iters left: 4 (83 enodes) 1550619417.520 * * [misc]simplify: iters left: 3 (120 enodes) 1550619417.553 * * [misc]simplify: iters left: 2 (158 enodes) 1550619417.577 * * [misc]simplify: iters left: 1 (191 enodes) 1550619417.621 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619417.621 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619417.621 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619417.622 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550619417.622 * * [misc]simplify: Extracting #4: cost 43 inf + 43 1550619417.622 * * [misc]simplify: Extracting #5: cost 39 inf + 752 1550619417.624 * * [misc]simplify: Extracting #6: cost 10 inf + 2418 1550619417.626 * * [misc]simplify: Extracting #7: cost 1 inf + 4117 1550619417.628 * * [misc]simplify: Extracting #8: cost 0 inf + 4652 1550619417.630 * [exit]simplify: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619417.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619417.630 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619417.630 * * [misc]simplify: iters left: 6 (16 enodes) 1550619417.637 * * [misc]simplify: iters left: 5 (56 enodes) 1550619417.647 * * [misc]simplify: iters left: 4 (83 enodes) 1550619417.660 * * [misc]simplify: iters left: 3 (120 enodes) 1550619417.678 * * [misc]simplify: iters left: 2 (158 enodes) 1550619417.704 * * [misc]simplify: iters left: 1 (191 enodes) 1550619417.748 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619417.748 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619417.748 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619417.748 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550619417.748 * * [misc]simplify: Extracting #4: cost 43 inf + 43 1550619417.748 * * [misc]simplify: Extracting #5: cost 39 inf + 752 1550619417.749 * * [misc]simplify: Extracting #6: cost 10 inf + 2418 1550619417.750 * * [misc]simplify: Extracting #7: cost 1 inf + 4117 1550619417.751 * * [misc]simplify: Extracting #8: cost 0 inf + 4652 1550619417.752 * [exit]simplify: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619417.752 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))) 1550619417.752 * * * * [misc]progress: [ 74 / 135 ] simplifiying candidate # 1550619417.753 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) 1) 1550619417.753 * * [misc]simplify: iters left: 6 (15 enodes) 1550619417.757 * * [misc]simplify: iters left: 5 (53 enodes) 1550619417.766 * * [misc]simplify: iters left: 4 (82 enodes) 1550619417.781 * * [misc]simplify: iters left: 3 (118 enodes) 1550619417.797 * * [misc]simplify: iters left: 2 (152 enodes) 1550619417.832 * * [misc]simplify: iters left: 1 (184 enodes) 1550619417.856 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619417.856 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619417.856 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550619417.856 * * [misc]simplify: Extracting #3: cost 38 inf + 2 1550619417.856 * * [misc]simplify: Extracting #4: cost 40 inf + 303 1550619417.859 * * [misc]simplify: Extracting #5: cost 9 inf + 2051 1550619417.860 * * [misc]simplify: Extracting #6: cost 1 inf + 2923 1550619417.860 * * [misc]simplify: Extracting #7: cost 0 inf + 3338 1550619417.861 * [exit]simplify: Simplified to (pow (sqrt (* n (* 2 PI))) (- 1/2 (* k 1/2))) 1550619417.861 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (sqrt (* n (* 2 PI))) (- 1/2 (* k 1/2))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619417.862 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619417.862 * * [misc]simplify: iters left: 6 (15 enodes) 1550619417.866 * * [misc]simplify: iters left: 5 (53 enodes) 1550619417.876 * * [misc]simplify: iters left: 4 (80 enodes) 1550619417.899 * * [misc]simplify: iters left: 3 (117 enodes) 1550619417.916 * * [misc]simplify: iters left: 2 (155 enodes) 1550619417.938 * * [misc]simplify: iters left: 1 (189 enodes) 1550619417.983 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619417.983 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619417.983 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619417.983 * * [misc]simplify: Extracting #3: cost 14 inf + 42 1550619417.983 * * [misc]simplify: Extracting #4: cost 38 inf + 208 1550619417.984 * * [misc]simplify: Extracting #5: cost 37 inf + 754 1550619417.985 * * [misc]simplify: Extracting #6: cost 12 inf + 2050 1550619417.987 * * [misc]simplify: Extracting #7: cost 1 inf + 3912 1550619417.989 * * [misc]simplify: Extracting #8: cost 0 inf + 4406 1550619417.991 * [exit]simplify: Simplified to (/ (pow (sqrt (/ (* PI n) 1/2)) (- 1/2 (* k 1/2))) (sqrt k)) 1550619417.991 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) 1) (/ (pow (sqrt (/ (* PI n) 1/2)) (- 1/2 (* k 1/2))) (sqrt k)))) 1550619417.991 * * * * [misc]progress: [ 75 / 135 ] simplifiying candidate # 1550619417.991 * [enter]simplify: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619417.991 * * [misc]simplify: iters left: 6 (16 enodes) 1550619417.999 * * [misc]simplify: iters left: 5 (55 enodes) 1550619418.016 * * [misc]simplify: iters left: 4 (69 enodes) 1550619418.035 * * [misc]simplify: iters left: 3 (76 enodes) 1550619418.055 * * [misc]simplify: iters left: 2 (84 enodes) 1550619418.078 * * [misc]simplify: iters left: 1 (93 enodes) 1550619418.092 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.092 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619418.092 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619418.092 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1550619418.092 * * [misc]simplify: Extracting #4: cost 28 inf + 248 1550619418.092 * * [misc]simplify: Extracting #5: cost 22 inf + 982 1550619418.092 * * [misc]simplify: Extracting #6: cost 16 inf + 1151 1550619418.093 * * [misc]simplify: Extracting #7: cost 9 inf + 1967 1550619418.093 * * [misc]simplify: Extracting #8: cost 2 inf + 4915 1550619418.094 * * [misc]simplify: Extracting #9: cost 1 inf + 5570 1550619418.095 * * [misc]simplify: Extracting #10: cost 0 inf + 6225 1550619418.096 * [exit]simplify: Simplified to (/ (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619418.096 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619418.096 * [enter]simplify: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619418.096 * * [misc]simplify: iters left: 6 (14 enodes) 1550619418.099 * * [misc]simplify: iters left: 5 (45 enodes) 1550619418.106 * * [misc]simplify: iters left: 4 (55 enodes) 1550619418.114 * * [misc]simplify: iters left: 3 (62 enodes) 1550619418.123 * * [misc]simplify: iters left: 2 (70 enodes) 1550619418.134 * * [misc]simplify: iters left: 1 (79 enodes) 1550619418.144 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.144 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619418.144 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619418.144 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619418.144 * * [misc]simplify: Extracting #4: cost 23 inf + 44 1550619418.144 * * [misc]simplify: Extracting #5: cost 20 inf + 373 1550619418.144 * * [misc]simplify: Extracting #6: cost 10 inf + 829 1550619418.144 * * [misc]simplify: Extracting #7: cost 5 inf + 1361 1550619418.145 * * [misc]simplify: Extracting #8: cost 1 inf + 3008 1550619418.145 * * [misc]simplify: Extracting #9: cost 0 inf + 3623 1550619418.146 * [exit]simplify: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (cbrt (sqrt k))) 1550619418.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (cbrt (sqrt k))))) 1550619418.146 * * * * [misc]progress: [ 76 / 135 ] simplifiying candidate # 1550619418.146 * [enter]simplify: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619418.146 * * [misc]simplify: iters left: 6 (15 enodes) 1550619418.151 * * [misc]simplify: iters left: 5 (50 enodes) 1550619418.166 * * [misc]simplify: iters left: 4 (62 enodes) 1550619418.178 * * [misc]simplify: iters left: 3 (69 enodes) 1550619418.188 * * [misc]simplify: iters left: 2 (77 enodes) 1550619418.200 * * [misc]simplify: iters left: 1 (86 enodes) 1550619418.212 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.212 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619418.212 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619418.213 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550619418.213 * * [misc]simplify: Extracting #4: cost 26 inf + 86 1550619418.213 * * [misc]simplify: Extracting #5: cost 20 inf + 541 1550619418.213 * * [misc]simplify: Extracting #6: cost 15 inf + 707 1550619418.214 * * [misc]simplify: Extracting #7: cost 9 inf + 1239 1550619418.215 * * [misc]simplify: Extracting #8: cost 3 inf + 2960 1550619418.216 * * [misc]simplify: Extracting #9: cost 0 inf + 4353 1550619418.217 * [exit]simplify: Simplified to (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619418.217 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619418.218 * [enter]simplify: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619418.218 * * [misc]simplify: iters left: 6 (14 enodes) 1550619418.224 * * [misc]simplify: iters left: 5 (45 enodes) 1550619418.237 * * [misc]simplify: iters left: 4 (55 enodes) 1550619418.252 * * [misc]simplify: iters left: 3 (62 enodes) 1550619418.269 * * [misc]simplify: iters left: 2 (70 enodes) 1550619418.292 * * [misc]simplify: iters left: 1 (79 enodes) 1550619418.311 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.311 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619418.311 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619418.311 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619418.311 * * [misc]simplify: Extracting #4: cost 23 inf + 44 1550619418.312 * * [misc]simplify: Extracting #5: cost 20 inf + 333 1550619418.312 * * [misc]simplify: Extracting #6: cost 10 inf + 749 1550619418.313 * * [misc]simplify: Extracting #7: cost 5 inf + 1281 1550619418.314 * * [misc]simplify: Extracting #8: cost 1 inf + 2888 1550619418.315 * * [misc]simplify: Extracting #9: cost 0 inf + 3463 1550619418.316 * [exit]simplify: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619418.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))) 1550619418.316 * * * * [misc]progress: [ 77 / 135 ] simplifiying candidate # 1550619418.316 * [enter]simplify: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) 1) 1550619418.316 * * [misc]simplify: iters left: 6 (14 enodes) 1550619418.323 * * [misc]simplify: iters left: 5 (47 enodes) 1550619418.338 * * [misc]simplify: iters left: 4 (61 enodes) 1550619418.355 * * [misc]simplify: iters left: 3 (67 enodes) 1550619418.373 * * [misc]simplify: iters left: 2 (71 enodes) 1550619418.394 * * [misc]simplify: iters left: 1 (78 enodes) 1550619418.413 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.413 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619418.413 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1550619418.413 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1550619418.414 * * [misc]simplify: Extracting #4: cost 23 inf + 47 1550619418.414 * * [misc]simplify: Extracting #5: cost 12 inf + 505 1550619418.414 * * [misc]simplify: Extracting #6: cost 7 inf + 1036 1550619418.415 * * [misc]simplify: Extracting #7: cost 1 inf + 2384 1550619418.416 * * [misc]simplify: Extracting #8: cost 0 inf + 2879 1550619418.417 * [exit]simplify: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1550619418.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619418.417 * [enter]simplify: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619418.418 * * [misc]simplify: iters left: 6 (13 enodes) 1550619418.424 * * [misc]simplify: iters left: 5 (42 enodes) 1550619418.440 * * [misc]simplify: iters left: 4 (52 enodes) 1550619418.452 * * [misc]simplify: iters left: 3 (59 enodes) 1550619418.460 * * [misc]simplify: iters left: 2 (67 enodes) 1550619418.471 * * [misc]simplify: iters left: 1 (76 enodes) 1550619418.480 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.480 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619418.480 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619418.480 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550619418.481 * * [misc]simplify: Extracting #4: cost 18 inf + 250 1550619418.481 * * [misc]simplify: Extracting #5: cost 15 inf + 500 1550619418.481 * * [misc]simplify: Extracting #6: cost 10 inf + 587 1550619418.481 * * [misc]simplify: Extracting #7: cost 6 inf + 956 1550619418.482 * * [misc]simplify: Extracting #8: cost 2 inf + 2231 1550619418.482 * * [misc]simplify: Extracting #9: cost 0 inf + 3221 1550619418.482 * [exit]simplify: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt k)) 1550619418.482 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt k)))) 1550619418.483 * * * * [misc]progress: [ 78 / 135 ] simplifiying candidate # 1550619418.483 * [enter]simplify: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619418.483 * * [misc]simplify: iters left: 6 (15 enodes) 1550619418.488 * * [misc]simplify: iters left: 5 (50 enodes) 1550619418.502 * * [misc]simplify: iters left: 4 (62 enodes) 1550619418.519 * * [misc]simplify: iters left: 3 (69 enodes) 1550619418.536 * * [misc]simplify: iters left: 2 (77 enodes) 1550619418.559 * * [misc]simplify: iters left: 1 (86 enodes) 1550619418.578 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.578 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619418.578 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619418.578 * * [misc]simplify: Extracting #3: cost 23 inf + 0 1550619418.578 * * [misc]simplify: Extracting #4: cost 28 inf + 3 1550619418.578 * * [misc]simplify: Extracting #5: cost 19 inf + 781 1550619418.579 * * [misc]simplify: Extracting #6: cost 13 inf + 1109 1550619418.579 * * [misc]simplify: Extracting #7: cost 7 inf + 1522 1550619418.580 * * [misc]simplify: Extracting #8: cost 1 inf + 4280 1550619418.581 * * [misc]simplify: Extracting #9: cost 0 inf + 4855 1550619418.582 * [exit]simplify: Simplified to (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619418.582 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619418.583 * [enter]simplify: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619418.583 * * [misc]simplify: iters left: 6 (14 enodes) 1550619418.589 * * [misc]simplify: iters left: 5 (45 enodes) 1550619418.600 * * [misc]simplify: iters left: 4 (55 enodes) 1550619418.613 * * [misc]simplify: iters left: 3 (62 enodes) 1550619418.628 * * [misc]simplify: iters left: 2 (70 enodes) 1550619418.646 * * [misc]simplify: iters left: 1 (79 enodes) 1550619418.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.662 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619418.662 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619418.662 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619418.662 * * [misc]simplify: Extracting #4: cost 23 inf + 44 1550619418.663 * * [misc]simplify: Extracting #5: cost 20 inf + 373 1550619418.663 * * [misc]simplify: Extracting #6: cost 10 inf + 829 1550619418.664 * * [misc]simplify: Extracting #7: cost 5 inf + 1241 1550619418.664 * * [misc]simplify: Extracting #8: cost 1 inf + 2728 1550619418.665 * * [misc]simplify: Extracting #9: cost 0 inf + 3303 1550619418.666 * [exit]simplify: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (cbrt (sqrt k))) 1550619418.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (cbrt (sqrt k))))) 1550619418.666 * * * * [misc]progress: [ 79 / 135 ] simplifiying candidate # 1550619418.666 * [enter]simplify: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619418.667 * * [misc]simplify: iters left: 6 (14 enodes) 1550619418.672 * * [misc]simplify: iters left: 5 (45 enodes) 1550619418.688 * * [misc]simplify: iters left: 4 (55 enodes) 1550619418.704 * * [misc]simplify: iters left: 3 (62 enodes) 1550619418.721 * * [misc]simplify: iters left: 2 (70 enodes) 1550619418.741 * * [misc]simplify: iters left: 1 (79 enodes) 1550619418.761 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.761 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619418.761 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619418.761 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619418.761 * * [misc]simplify: Extracting #4: cost 23 inf + 44 1550619418.762 * * [misc]simplify: Extracting #5: cost 20 inf + 333 1550619418.762 * * [misc]simplify: Extracting #6: cost 10 inf + 749 1550619418.763 * * [misc]simplify: Extracting #7: cost 5 inf + 1161 1550619418.764 * * [misc]simplify: Extracting #8: cost 1 inf + 2608 1550619418.765 * * [misc]simplify: Extracting #9: cost 0 inf + 3143 1550619418.765 * [exit]simplify: Simplified to (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619418.766 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619418.766 * [enter]simplify: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619418.766 * * [misc]simplify: iters left: 6 (14 enodes) 1550619418.773 * * [misc]simplify: iters left: 5 (45 enodes) 1550619418.785 * * [misc]simplify: iters left: 4 (55 enodes) 1550619418.801 * * [misc]simplify: iters left: 3 (62 enodes) 1550619418.818 * * [misc]simplify: iters left: 2 (70 enodes) 1550619418.841 * * [misc]simplify: iters left: 1 (79 enodes) 1550619418.860 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.860 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619418.860 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619418.860 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619418.860 * * [misc]simplify: Extracting #4: cost 23 inf + 44 1550619418.860 * * [misc]simplify: Extracting #5: cost 20 inf + 333 1550619418.861 * * [misc]simplify: Extracting #6: cost 10 inf + 749 1550619418.861 * * [misc]simplify: Extracting #7: cost 5 inf + 1161 1550619418.862 * * [misc]simplify: Extracting #8: cost 1 inf + 2608 1550619418.863 * * [misc]simplify: Extracting #9: cost 0 inf + 3143 1550619418.864 * [exit]simplify: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619418.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))) 1550619418.864 * * * * [misc]progress: [ 80 / 135 ] simplifiying candidate # 1550619418.865 * [enter]simplify: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1) 1550619418.865 * * [misc]simplify: iters left: 6 (13 enodes) 1550619418.872 * * [misc]simplify: iters left: 5 (42 enodes) 1550619418.885 * * [misc]simplify: iters left: 4 (54 enodes) 1550619418.900 * * [misc]simplify: iters left: 3 (60 enodes) 1550619418.916 * * [misc]simplify: iters left: 2 (64 enodes) 1550619418.935 * * [misc]simplify: iters left: 1 (71 enodes) 1550619418.953 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619418.953 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619418.953 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619418.954 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1550619418.954 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1550619418.954 * * [misc]simplify: Extracting #5: cost 11 inf + 339 1550619418.954 * * [misc]simplify: Extracting #6: cost 4 inf + 794 1550619418.955 * * [misc]simplify: Extracting #7: cost 1 inf + 1414 1550619418.956 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 1550619418.956 * [exit]simplify: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) 1550619418.957 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619418.957 * [enter]simplify: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619418.957 * * [misc]simplify: iters left: 6 (13 enodes) 1550619418.962 * * [misc]simplify: iters left: 5 (42 enodes) 1550619418.969 * * [misc]simplify: iters left: 4 (52 enodes) 1550619418.979 * * [misc]simplify: iters left: 3 (59 enodes) 1550619418.987 * * [misc]simplify: iters left: 2 (67 enodes) 1550619419.006 * * [misc]simplify: iters left: 1 (76 enodes) 1550619419.024 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.024 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619419.024 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619419.024 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550619419.025 * * [misc]simplify: Extracting #4: cost 18 inf + 250 1550619419.025 * * [misc]simplify: Extracting #5: cost 15 inf + 500 1550619419.025 * * [misc]simplify: Extracting #6: cost 10 inf + 587 1550619419.026 * * [misc]simplify: Extracting #7: cost 6 inf + 876 1550619419.026 * * [misc]simplify: Extracting #8: cost 2 inf + 1991 1550619419.027 * * [misc]simplify: Extracting #9: cost 0 inf + 2901 1550619419.028 * [exit]simplify: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt k)) 1550619419.028 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt k)))) 1550619419.028 * * * * [misc]progress: [ 81 / 135 ] simplifiying candidate # 1550619419.029 * [enter]simplify: Simplifying (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619419.029 * * [misc]simplify: iters left: 6 (12 enodes) 1550619419.035 * * [misc]simplify: iters left: 5 (41 enodes) 1550619419.048 * * [misc]simplify: iters left: 4 (55 enodes) 1550619419.063 * * [misc]simplify: iters left: 3 (61 enodes) 1550619419.072 * * [misc]simplify: iters left: 2 (65 enodes) 1550619419.082 * * [misc]simplify: iters left: 1 (72 enodes) 1550619419.093 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.094 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619419.094 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619419.094 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1550619419.094 * * [misc]simplify: Extracting #4: cost 22 inf + 45 1550619419.094 * * [misc]simplify: Extracting #5: cost 11 inf + 1245 1550619419.094 * * [misc]simplify: Extracting #6: cost 2 inf + 3132 1550619419.095 * * [misc]simplify: Extracting #7: cost 0 inf + 3627 1550619419.095 * [exit]simplify: Simplified to (/ (/ (pow -2 (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k))) 1550619419.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow -2 (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619419.095 * [enter]simplify: Simplifying (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619419.096 * * [misc]simplify: iters left: 6 (13 enodes) 1550619419.101 * * [misc]simplify: iters left: 5 (44 enodes) 1550619419.111 * * [misc]simplify: iters left: 4 (59 enodes) 1550619419.120 * * [misc]simplify: iters left: 3 (70 enodes) 1550619419.130 * * [misc]simplify: iters left: 2 (78 enodes) 1550619419.142 * * [misc]simplify: iters left: 1 (87 enodes) 1550619419.162 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.162 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619419.162 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619419.163 * * [misc]simplify: Extracting #3: cost 23 inf + 0 1550619419.163 * * [misc]simplify: Extracting #4: cost 22 inf + 333 1550619419.163 * * [misc]simplify: Extracting #5: cost 10 inf + 1328 1550619419.164 * * [misc]simplify: Extracting #6: cost 1 inf + 2572 1550619419.165 * * [misc]simplify: Extracting #7: cost 0 inf + 3067 1550619419.166 * [exit]simplify: Simplified to (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619419.166 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow -2 (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619419.166 * * * * [misc]progress: [ 82 / 135 ] simplifiying candidate # 1550619419.167 * [enter]simplify: Simplifying (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619419.167 * * [misc]simplify: iters left: 6 (11 enodes) 1550619419.173 * * [misc]simplify: iters left: 5 (36 enodes) 1550619419.184 * * [misc]simplify: iters left: 4 (48 enodes) 1550619419.197 * * [misc]simplify: iters left: 3 (54 enodes) 1550619419.214 * * [misc]simplify: iters left: 2 (58 enodes) 1550619419.231 * * [misc]simplify: iters left: 1 (65 enodes) 1550619419.242 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.242 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619419.242 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619419.242 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619419.242 * * [misc]simplify: Extracting #4: cost 14 inf + 290 1550619419.242 * * [misc]simplify: Extracting #5: cost 6 inf + 995 1550619419.242 * * [misc]simplify: Extracting #6: cost 0 inf + 2199 1550619419.243 * * [misc]simplify: Extracting #7: cost 0 inf + 2159 1550619419.243 * [exit]simplify: Simplified to (/ (pow -2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619419.243 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow -2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619419.243 * [enter]simplify: Simplifying (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619419.243 * * [misc]simplify: iters left: 6 (13 enodes) 1550619419.246 * * [misc]simplify: iters left: 5 (44 enodes) 1550619419.253 * * [misc]simplify: iters left: 4 (59 enodes) 1550619419.262 * * [misc]simplify: iters left: 3 (70 enodes) 1550619419.271 * * [misc]simplify: iters left: 2 (78 enodes) 1550619419.285 * * [misc]simplify: iters left: 1 (87 enodes) 1550619419.295 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.296 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619419.296 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619419.296 * * [misc]simplify: Extracting #3: cost 23 inf + 0 1550619419.296 * * [misc]simplify: Extracting #4: cost 22 inf + 293 1550619419.296 * * [misc]simplify: Extracting #5: cost 10 inf + 1248 1550619419.296 * * [misc]simplify: Extracting #6: cost 1 inf + 2452 1550619419.297 * * [misc]simplify: Extracting #7: cost 0 inf + 2907 1550619419.297 * [exit]simplify: Simplified to (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619419.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow -2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619419.297 * * * * [misc]progress: [ 83 / 135 ] simplifiying candidate # 1550619419.298 * [enter]simplify: Simplifying (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) 1) 1550619419.298 * * [misc]simplify: iters left: 6 (9 enodes) 1550619419.300 * * [misc]simplify: iters left: 5 (28 enodes) 1550619419.307 * * [misc]simplify: iters left: 4 (40 enodes) 1550619419.317 * * [misc]simplify: iters left: 3 (46 enodes) 1550619419.329 * * [misc]simplify: iters left: 2 (50 enodes) 1550619419.344 * * [misc]simplify: iters left: 1 (57 enodes) 1550619419.357 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.357 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619419.357 * * [misc]simplify: Extracting #2: cost 8 inf + 2 1550619419.357 * * [misc]simplify: Extracting #3: cost 13 inf + 3 1550619419.357 * * [misc]simplify: Extracting #4: cost 8 inf + 172 1550619419.358 * * [misc]simplify: Extracting #5: cost 2 inf + 714 1550619419.358 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619419.359 * [exit]simplify: Simplified to (pow -2 (- 1/2 (* 1/2 k))) 1550619419.359 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow -2 (- 1/2 (* 1/2 k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619419.359 * [enter]simplify: Simplifying (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619419.359 * * [misc]simplify: iters left: 6 (12 enodes) 1550619419.365 * * [misc]simplify: iters left: 5 (41 enodes) 1550619419.378 * * [misc]simplify: iters left: 4 (56 enodes) 1550619419.394 * * [misc]simplify: iters left: 3 (67 enodes) 1550619419.412 * * [misc]simplify: iters left: 2 (75 enodes) 1550619419.434 * * [misc]simplify: iters left: 1 (84 enodes) 1550619419.457 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.457 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619419.457 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619419.457 * * [misc]simplify: Extracting #3: cost 19 inf + 42 1550619419.457 * * [misc]simplify: Extracting #4: cost 20 inf + 213 1550619419.458 * * [misc]simplify: Extracting #5: cost 9 inf + 1421 1550619419.458 * * [misc]simplify: Extracting #6: cost 1 inf + 2250 1550619419.459 * * [misc]simplify: Extracting #7: cost 0 inf + 2665 1550619419.460 * [exit]simplify: Simplified to (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619419.460 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow -2 (- 1/2 (* 1/2 k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619419.460 * * * * [misc]progress: [ 84 / 135 ] simplifiying candidate # 1550619419.461 * [enter]simplify: Simplifying (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619419.461 * * [misc]simplify: iters left: 6 (12 enodes) 1550619419.469 * * [misc]simplify: iters left: 5 (42 enodes) 1550619419.482 * * [misc]simplify: iters left: 4 (54 enodes) 1550619419.492 * * [misc]simplify: iters left: 3 (61 enodes) 1550619419.501 * * [misc]simplify: iters left: 2 (69 enodes) 1550619419.513 * * [misc]simplify: iters left: 1 (78 enodes) 1550619419.532 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.532 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619419.532 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619419.532 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1550619419.532 * * [misc]simplify: Extracting #4: cost 22 inf + 45 1550619419.532 * * [misc]simplify: Extracting #5: cost 10 inf + 1247 1550619419.533 * * [misc]simplify: Extracting #6: cost 1 inf + 3134 1550619419.534 * * [misc]simplify: Extracting #7: cost 0 inf + 3627 1550619419.535 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619419.535 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619419.535 * [enter]simplify: Simplifying (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619419.535 * * [misc]simplify: iters left: 6 (13 enodes) 1550619419.542 * * [misc]simplify: iters left: 5 (46 enodes) 1550619419.555 * * [misc]simplify: iters left: 4 (58 enodes) 1550619419.563 * * [misc]simplify: iters left: 3 (64 enodes) 1550619419.574 * * [misc]simplify: iters left: 2 (68 enodes) 1550619419.587 * * [misc]simplify: iters left: 1 (75 enodes) 1550619419.605 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.606 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619419.606 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619419.606 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550619419.606 * * [misc]simplify: Extracting #4: cost 19 inf + 249 1550619419.606 * * [misc]simplify: Extracting #5: cost 8 inf + 1121 1550619419.607 * * [misc]simplify: Extracting #6: cost 1 inf + 2610 1550619419.608 * * [misc]simplify: Extracting #7: cost 0 inf + 2652 1550619419.609 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619419.609 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619419.609 * * * * [misc]progress: [ 85 / 135 ] simplifiying candidate # 1550619419.609 * [enter]simplify: Simplifying (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619419.609 * * [misc]simplify: iters left: 6 (11 enodes) 1550619419.616 * * [misc]simplify: iters left: 5 (37 enodes) 1550619419.629 * * [misc]simplify: iters left: 4 (47 enodes) 1550619419.643 * * [misc]simplify: iters left: 3 (54 enodes) 1550619419.659 * * [misc]simplify: iters left: 2 (62 enodes) 1550619419.679 * * [misc]simplify: iters left: 1 (71 enodes) 1550619419.696 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.697 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619419.697 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619419.697 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619419.697 * * [misc]simplify: Extracting #4: cost 17 inf + 127 1550619419.697 * * [misc]simplify: Extracting #5: cost 7 inf + 914 1550619419.698 * * [misc]simplify: Extracting #6: cost 0 inf + 2199 1550619419.698 * * [misc]simplify: Extracting #7: cost 0 inf + 2159 1550619419.699 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619419.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619419.699 * [enter]simplify: Simplifying (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619419.700 * * [misc]simplify: iters left: 6 (13 enodes) 1550619419.706 * * [misc]simplify: iters left: 5 (46 enodes) 1550619419.722 * * [misc]simplify: iters left: 4 (58 enodes) 1550619419.739 * * [misc]simplify: iters left: 3 (64 enodes) 1550619419.755 * * [misc]simplify: iters left: 2 (68 enodes) 1550619419.775 * * [misc]simplify: iters left: 1 (75 enodes) 1550619419.793 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.793 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619419.793 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619419.793 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550619419.793 * * [misc]simplify: Extracting #4: cost 19 inf + 209 1550619419.793 * * [misc]simplify: Extracting #5: cost 8 inf + 1041 1550619419.794 * * [misc]simplify: Extracting #6: cost 1 inf + 2450 1550619419.795 * * [misc]simplify: Extracting #7: cost 0 inf + 2492 1550619419.796 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619419.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619419.796 * * * * [misc]progress: [ 86 / 135 ] simplifiying candidate # 1550619419.796 * [enter]simplify: Simplifying (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) 1) 1550619419.796 * * [misc]simplify: iters left: 6 (10 enodes) 1550619419.803 * * [misc]simplify: iters left: 5 (34 enodes) 1550619419.814 * * [misc]simplify: iters left: 4 (46 enodes) 1550619419.828 * * [misc]simplify: iters left: 3 (52 enodes) 1550619419.842 * * [misc]simplify: iters left: 2 (56 enodes) 1550619419.859 * * [misc]simplify: iters left: 1 (63 enodes) 1550619419.877 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.877 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619419.877 * * [misc]simplify: Extracting #2: cost 8 inf + 2 1550619419.877 * * [misc]simplify: Extracting #3: cost 13 inf + 3 1550619419.877 * * [misc]simplify: Extracting #4: cost 8 inf + 173 1550619419.878 * * [misc]simplify: Extracting #5: cost 1 inf + 1047 1550619419.878 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619419.879 * [exit]simplify: Simplified to (pow 2 (- 1/2 (* 1/2 k))) 1550619419.879 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619419.879 * [enter]simplify: Simplifying (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619419.879 * * [misc]simplify: iters left: 6 (12 enodes) 1550619419.885 * * [misc]simplify: iters left: 5 (43 enodes) 1550619419.898 * * [misc]simplify: iters left: 4 (55 enodes) 1550619419.913 * * [misc]simplify: iters left: 3 (61 enodes) 1550619419.928 * * [misc]simplify: iters left: 2 (65 enodes) 1550619419.947 * * [misc]simplify: iters left: 1 (72 enodes) 1550619419.963 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619419.963 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619419.963 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619419.963 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619419.963 * * [misc]simplify: Extracting #4: cost 19 inf + 87 1550619419.964 * * [misc]simplify: Extracting #5: cost 9 inf + 877 1550619419.964 * * [misc]simplify: Extracting #6: cost 1 inf + 2248 1550619419.965 * * [misc]simplify: Extracting #7: cost 0 inf + 2250 1550619419.966 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619419.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619419.966 * * * * [misc]progress: [ 87 / 135 ] simplifiying candidate # 1550619419.966 * [enter]simplify: Simplifying (/ (pow 1 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619419.966 * * [misc]simplify: iters left: 6 (10 enodes) 1550619419.971 * * [misc]simplify: iters left: 5 (35 enodes) 1550619419.983 * * [misc]simplify: iters left: 4 (51 enodes) 1550619419.996 * * [misc]simplify: iters left: 3 (59 enodes) 1550619420.011 * * [misc]simplify: iters left: 2 (63 enodes) 1550619420.032 * * [misc]simplify: iters left: 1 (70 enodes) 1550619420.048 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.048 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619420.048 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550619420.048 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1550619420.048 * * [misc]simplify: Extracting #4: cost 12 inf + 2 1550619420.048 * * [misc]simplify: Extracting #5: cost 7 inf + 488 1550619420.049 * * [misc]simplify: Extracting #6: cost 0 inf + 1700 1550619420.049 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1550619420.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619420.050 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619420.050 * * [misc]simplify: iters left: 6 (15 enodes) 1550619420.058 * * [misc]simplify: iters left: 5 (53 enodes) 1550619420.075 * * [misc]simplify: iters left: 4 (80 enodes) 1550619420.099 * * [misc]simplify: iters left: 3 (117 enodes) 1550619420.132 * * [misc]simplify: iters left: 2 (155 enodes) 1550619420.179 * * [misc]simplify: iters left: 1 (189 enodes) 1550619420.228 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.228 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619420.229 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619420.229 * * [misc]simplify: Extracting #3: cost 38 inf + 0 1550619420.229 * * [misc]simplify: Extracting #4: cost 45 inf + 342 1550619420.230 * * [misc]simplify: Extracting #5: cost 19 inf + 1754 1550619420.232 * * [misc]simplify: Extracting #6: cost 1 inf + 3871 1550619420.234 * * [misc]simplify: Extracting #7: cost 0 inf + 4406 1550619420.236 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619420.236 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619420.236 * * * * [misc]progress: [ 88 / 135 ] simplifiying candidate # 1550619420.237 * [enter]simplify: Simplifying (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619420.237 * * [misc]simplify: iters left: 6 (9 enodes) 1550619420.242 * * [misc]simplify: iters left: 5 (30 enodes) 1550619420.252 * * [misc]simplify: iters left: 4 (42 enodes) 1550619420.263 * * [misc]simplify: iters left: 3 (48 enodes) 1550619420.269 * * [misc]simplify: iters left: 2 (52 enodes) 1550619420.278 * * [misc]simplify: iters left: 1 (59 enodes) 1550619420.284 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.285 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619420.285 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619420.285 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550619420.285 * * [misc]simplify: Extracting #4: cost 4 inf + 124 1550619420.285 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1550619420.285 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550619420.285 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619420.285 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619420.285 * * [misc]simplify: iters left: 6 (15 enodes) 1550619420.293 * * [misc]simplify: iters left: 5 (53 enodes) 1550619420.310 * * [misc]simplify: iters left: 4 (80 enodes) 1550619420.334 * * [misc]simplify: iters left: 3 (117 enodes) 1550619420.358 * * [misc]simplify: iters left: 2 (155 enodes) 1550619420.386 * * [misc]simplify: iters left: 1 (189 enodes) 1550619420.437 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.437 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619420.438 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619420.438 * * [misc]simplify: Extracting #3: cost 38 inf + 0 1550619420.438 * * [misc]simplify: Extracting #4: cost 45 inf + 342 1550619420.439 * * [misc]simplify: Extracting #5: cost 19 inf + 1674 1550619420.441 * * [misc]simplify: Extracting #6: cost 1 inf + 3751 1550619420.443 * * [misc]simplify: Extracting #7: cost 0 inf + 4246 1550619420.445 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619420.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619420.445 * * * * [misc]progress: [ 89 / 135 ] simplifiying candidate # 1550619420.446 * [enter]simplify: Simplifying (/ (pow 1 (- 1/2 (* 1/2 k))) 1) 1550619420.446 * * [misc]simplify: iters left: 6 (7 enodes) 1550619420.450 * * [misc]simplify: iters left: 5 (22 enodes) 1550619420.457 * * [misc]simplify: iters left: 4 (34 enodes) 1550619420.466 * * [misc]simplify: iters left: 3 (40 enodes) 1550619420.477 * * [misc]simplify: iters left: 2 (44 enodes) 1550619420.488 * * [misc]simplify: iters left: 1 (51 enodes) 1550619420.493 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.494 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619420.494 * [exit]simplify: Simplified to 1 1550619420.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619420.494 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619420.494 * * [misc]simplify: iters left: 6 (14 enodes) 1550619420.498 * * [misc]simplify: iters left: 5 (50 enodes) 1550619420.506 * * [misc]simplify: iters left: 4 (77 enodes) 1550619420.523 * * [misc]simplify: iters left: 3 (114 enodes) 1550619420.558 * * [misc]simplify: iters left: 2 (152 enodes) 1550619420.584 * * [misc]simplify: iters left: 1 (186 enodes) 1550619420.611 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.611 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619420.611 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619420.611 * * [misc]simplify: Extracting #3: cost 33 inf + 83 1550619420.612 * * [misc]simplify: Extracting #4: cost 44 inf + 257 1550619420.613 * * [misc]simplify: Extracting #5: cost 15 inf + 1882 1550619420.615 * * [misc]simplify: Extracting #6: cost 2 inf + 3627 1550619420.616 * * [misc]simplify: Extracting #7: cost 0 inf + 4004 1550619420.618 * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619420.618 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619420.619 * * * * [misc]progress: [ 90 / 135 ] simplifiying candidate # 1550619420.619 * [enter]simplify: Simplifying (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619420.619 * * [misc]simplify: iters left: 6 (12 enodes) 1550619420.625 * * [misc]simplify: iters left: 5 (42 enodes) 1550619420.641 * * [misc]simplify: iters left: 4 (54 enodes) 1550619420.654 * * [misc]simplify: iters left: 3 (61 enodes) 1550619420.663 * * [misc]simplify: iters left: 2 (69 enodes) 1550619420.673 * * [misc]simplify: iters left: 1 (78 enodes) 1550619420.683 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.683 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619420.683 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619420.683 * * [misc]simplify: Extracting #3: cost 23 inf + 0 1550619420.683 * * [misc]simplify: Extracting #4: cost 24 inf + 46 1550619420.683 * * [misc]simplify: Extracting #5: cost 10 inf + 1414 1550619420.684 * * [misc]simplify: Extracting #6: cost 1 inf + 3424 1550619420.684 * * [misc]simplify: Extracting #7: cost 0 inf + 3958 1550619420.685 * [exit]simplify: Simplified to (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619420.685 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619420.685 * [enter]simplify: Simplifying (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619420.686 * * [misc]simplify: iters left: 6 (13 enodes) 1550619420.692 * * [misc]simplify: iters left: 5 (46 enodes) 1550619420.706 * * [misc]simplify: iters left: 4 (59 enodes) 1550619420.721 * * [misc]simplify: iters left: 3 (65 enodes) 1550619420.731 * * [misc]simplify: iters left: 2 (69 enodes) 1550619420.744 * * [misc]simplify: iters left: 1 (76 enodes) 1550619420.755 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.755 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619420.755 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619420.755 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550619420.755 * * [misc]simplify: Extracting #4: cost 18 inf + 171 1550619420.755 * * [misc]simplify: Extracting #5: cost 6 inf + 1163 1550619420.755 * * [misc]simplify: Extracting #6: cost 0 inf + 2686 1550619420.756 * * [misc]simplify: Extracting #7: cost 0 inf + 2646 1550619420.756 * [exit]simplify: Simplified to (/ (pow (- n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619420.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (- n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619420.756 * * * * [misc]progress: [ 91 / 135 ] simplifiying candidate # 1550619420.757 * [enter]simplify: Simplifying (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619420.757 * * [misc]simplify: iters left: 6 (11 enodes) 1550619420.760 * * [misc]simplify: iters left: 5 (37 enodes) 1550619420.767 * * [misc]simplify: iters left: 4 (47 enodes) 1550619420.774 * * [misc]simplify: iters left: 3 (54 enodes) 1550619420.782 * * [misc]simplify: iters left: 2 (62 enodes) 1550619420.794 * * [misc]simplify: iters left: 1 (71 enodes) 1550619420.812 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.812 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619420.812 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619420.812 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619420.812 * * [misc]simplify: Extracting #4: cost 16 inf + 291 1550619420.813 * * [misc]simplify: Extracting #5: cost 5 inf + 1455 1550619420.813 * * [misc]simplify: Extracting #6: cost 0 inf + 2408 1550619420.814 * [exit]simplify: Simplified to (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619420.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619420.814 * [enter]simplify: Simplifying (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619420.815 * * [misc]simplify: iters left: 6 (13 enodes) 1550619420.821 * * [misc]simplify: iters left: 5 (46 enodes) 1550619420.836 * * [misc]simplify: iters left: 4 (59 enodes) 1550619420.853 * * [misc]simplify: iters left: 3 (65 enodes) 1550619420.873 * * [misc]simplify: iters left: 2 (69 enodes) 1550619420.893 * * [misc]simplify: iters left: 1 (76 enodes) 1550619420.907 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.907 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619420.907 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619420.907 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550619420.907 * * [misc]simplify: Extracting #4: cost 18 inf + 171 1550619420.907 * * [misc]simplify: Extracting #5: cost 6 inf + 1123 1550619420.908 * * [misc]simplify: Extracting #6: cost 0 inf + 2526 1550619420.908 * * [misc]simplify: Extracting #7: cost 0 inf + 2486 1550619420.908 * [exit]simplify: Simplified to (/ (pow (- n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619420.908 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (- n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619420.909 * * * * [misc]progress: [ 92 / 135 ] simplifiying candidate # 1550619420.909 * [enter]simplify: Simplifying (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) 1) 1550619420.909 * * [misc]simplify: iters left: 6 (10 enodes) 1550619420.912 * * [misc]simplify: iters left: 5 (34 enodes) 1550619420.918 * * [misc]simplify: iters left: 4 (46 enodes) 1550619420.928 * * [misc]simplify: iters left: 3 (52 enodes) 1550619420.942 * * [misc]simplify: iters left: 2 (56 enodes) 1550619420.958 * * [misc]simplify: iters left: 1 (63 enodes) 1550619420.972 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619420.972 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619420.973 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619420.973 * * [misc]simplify: Extracting #3: cost 15 inf + 4 1550619420.973 * * [misc]simplify: Extracting #4: cost 6 inf + 381 1550619420.973 * * [misc]simplify: Extracting #5: cost 0 inf + 1296 1550619420.974 * * [misc]simplify: Extracting #6: cost 0 inf + 1256 1550619420.974 * [exit]simplify: Simplified to (pow (* -2 PI) (- 1/2 (* 1/2 k))) 1550619420.974 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* -2 PI) (- 1/2 (* 1/2 k))) (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619420.975 * [enter]simplify: Simplifying (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619420.975 * * [misc]simplify: iters left: 6 (12 enodes) 1550619420.981 * * [misc]simplify: iters left: 5 (43 enodes) 1550619420.989 * * [misc]simplify: iters left: 4 (56 enodes) 1550619420.997 * * [misc]simplify: iters left: 3 (62 enodes) 1550619421.005 * * [misc]simplify: iters left: 2 (66 enodes) 1550619421.017 * * [misc]simplify: iters left: 1 (73 enodes) 1550619421.034 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.034 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619421.034 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619421.034 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1550619421.034 * * [misc]simplify: Extracting #4: cost 17 inf + 130 1550619421.035 * * [misc]simplify: Extracting #5: cost 5 inf + 1002 1550619421.035 * * [misc]simplify: Extracting #6: cost 0 inf + 2244 1550619421.036 * [exit]simplify: Simplified to (/ (pow (- n) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619421.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* -2 PI) (- 1/2 (* 1/2 k))) (/ (pow (- n) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619421.036 * * * * [misc]progress: [ 93 / 135 ] simplifiying candidate # 1550619421.037 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619421.037 * * [misc]simplify: iters left: 6 (14 enodes) 1550619421.044 * * [misc]simplify: iters left: 5 (50 enodes) 1550619421.059 * * [misc]simplify: iters left: 4 (69 enodes) 1550619421.072 * * [misc]simplify: iters left: 3 (78 enodes) 1550619421.083 * * [misc]simplify: iters left: 2 (86 enodes) 1550619421.099 * * [misc]simplify: iters left: 1 (95 enodes) 1550619421.114 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.114 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619421.114 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619421.114 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1550619421.115 * * [misc]simplify: Extracting #4: cost 24 inf + 491 1550619421.115 * * [misc]simplify: Extracting #5: cost 12 inf + 1895 1550619421.115 * * [misc]simplify: Extracting #6: cost 0 inf + 4122 1550619421.116 * [exit]simplify: Simplified to (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619421.116 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619421.116 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619421.116 * * [misc]simplify: iters left: 6 (9 enodes) 1550619421.119 * * [misc]simplify: iters left: 5 (30 enodes) 1550619421.123 * * [misc]simplify: iters left: 4 (40 enodes) 1550619421.129 * * [misc]simplify: iters left: 3 (47 enodes) 1550619421.136 * * [misc]simplify: iters left: 2 (55 enodes) 1550619421.153 * * [misc]simplify: iters left: 1 (64 enodes) 1550619421.164 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.165 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619421.165 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619421.165 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619421.165 * * [misc]simplify: Extracting #4: cost 14 inf + 330 1550619421.165 * * [misc]simplify: Extracting #5: cost 7 inf + 953 1550619421.165 * * [misc]simplify: Extracting #6: cost 0 inf + 2319 1550619421.166 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))) 1550619421.166 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))))) 1550619421.166 * * * * [misc]progress: [ 94 / 135 ] simplifiying candidate # 1550619421.166 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619421.166 * * [misc]simplify: iters left: 6 (13 enodes) 1550619421.169 * * [misc]simplify: iters left: 5 (45 enodes) 1550619421.177 * * [misc]simplify: iters left: 4 (62 enodes) 1550619421.186 * * [misc]simplify: iters left: 3 (71 enodes) 1550619421.205 * * [misc]simplify: iters left: 2 (79 enodes) 1550619421.228 * * [misc]simplify: iters left: 1 (88 enodes) 1550619421.249 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.249 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619421.249 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619421.249 * * [misc]simplify: Extracting #3: cost 23 inf + 0 1550619421.250 * * [misc]simplify: Extracting #4: cost 20 inf + 294 1550619421.250 * * [misc]simplify: Extracting #5: cost 8 inf + 1086 1550619421.251 * * [misc]simplify: Extracting #6: cost 1 inf + 2121 1550619421.251 * * [misc]simplify: Extracting #7: cost 0 inf + 2574 1550619421.252 * [exit]simplify: Simplified to (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619421.252 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619421.253 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619421.253 * * [misc]simplify: iters left: 6 (9 enodes) 1550619421.258 * * [misc]simplify: iters left: 5 (30 enodes) 1550619421.267 * * [misc]simplify: iters left: 4 (40 enodes) 1550619421.279 * * [misc]simplify: iters left: 3 (47 enodes) 1550619421.288 * * [misc]simplify: iters left: 2 (55 enodes) 1550619421.298 * * [misc]simplify: iters left: 1 (64 enodes) 1550619421.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.306 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619421.306 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619421.306 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619421.306 * * [misc]simplify: Extracting #4: cost 14 inf + 290 1550619421.306 * * [misc]simplify: Extracting #5: cost 7 inf + 873 1550619421.306 * * [misc]simplify: Extracting #6: cost 0 inf + 2159 1550619421.307 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619421.307 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k))))) 1550619421.307 * * * * [misc]progress: [ 95 / 135 ] simplifiying candidate # 1550619421.307 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) 1) 1550619421.307 * * [misc]simplify: iters left: 6 (12 enodes) 1550619421.311 * * [misc]simplify: iters left: 5 (42 enodes) 1550619421.324 * * [misc]simplify: iters left: 4 (61 enodes) 1550619421.332 * * [misc]simplify: iters left: 3 (69 enodes) 1550619421.342 * * [misc]simplify: iters left: 2 (73 enodes) 1550619421.353 * * [misc]simplify: iters left: 1 (80 enodes) 1550619421.371 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.371 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619421.371 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1550619421.372 * * [misc]simplify: Extracting #3: cost 19 inf + 6 1550619421.372 * * [misc]simplify: Extracting #4: cost 4 inf + 675 1550619421.372 * * [misc]simplify: Extracting #5: cost 1 inf + 1091 1550619421.373 * * [misc]simplify: Extracting #6: cost 0 inf + 1424 1550619421.374 * [exit]simplify: Simplified to (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) 1550619421.374 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (/ (pow n (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619421.374 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (sqrt k)) 1550619421.374 * * [misc]simplify: iters left: 6 (8 enodes) 1550619421.378 * * [misc]simplify: iters left: 5 (27 enodes) 1550619421.386 * * [misc]simplify: iters left: 4 (37 enodes) 1550619421.397 * * [misc]simplify: iters left: 3 (44 enodes) 1550619421.409 * * [misc]simplify: iters left: 2 (52 enodes) 1550619421.426 * * [misc]simplify: iters left: 1 (61 enodes) 1550619421.436 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.436 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619421.436 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619421.436 * * [misc]simplify: Extracting #3: cost 11 inf + 43 1550619421.436 * * [misc]simplify: Extracting #4: cost 14 inf + 127 1550619421.436 * * [misc]simplify: Extracting #5: cost 5 inf + 1206 1550619421.437 * * [misc]simplify: Extracting #6: cost 1 inf + 1875 1550619421.437 * * [misc]simplify: Extracting #7: cost 0 inf + 1917 1550619421.437 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (sqrt k)) 1550619421.437 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (/ (pow n (- 1/2 (* k 1/2))) (sqrt k)))) 1550619421.437 * * * * [misc]progress: [ 96 / 135 ] simplifiying candidate # 1550619421.438 * [enter]simplify: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619421.438 * * [misc]simplify: iters left: 6 (18 enodes) 1550619421.443 * * [misc]simplify: iters left: 5 (68 enodes) 1550619421.455 * * [misc]simplify: iters left: 4 (110 enodes) 1550619421.489 * * [misc]simplify: iters left: 3 (154 enodes) 1550619421.532 * * [misc]simplify: iters left: 2 (195 enodes) 1550619421.588 * * [misc]simplify: iters left: 1 (229 enodes) 1550619421.629 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.629 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619421.629 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1550619421.629 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1550619421.629 * * [misc]simplify: Extracting #4: cost 53 inf + 1 1550619421.630 * * [misc]simplify: Extracting #5: cost 58 inf + 785 1550619421.630 * * [misc]simplify: Extracting #6: cost 29 inf + 2325 1550619421.632 * * [misc]simplify: Extracting #7: cost 7 inf + 8822 1550619421.634 * * [misc]simplify: Extracting #8: cost 2 inf + 12012 1550619421.636 * * [misc]simplify: Extracting #9: cost 0 inf + 13240 1550619421.638 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) 1550619421.638 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))) 1550619421.638 * [enter]simplify: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619421.638 * * [misc]simplify: iters left: 6 (16 enodes) 1550619421.643 * * [misc]simplify: iters left: 5 (56 enodes) 1550619421.660 * * [misc]simplify: iters left: 4 (83 enodes) 1550619421.689 * * [misc]simplify: iters left: 3 (120 enodes) 1550619421.722 * * [misc]simplify: iters left: 2 (158 enodes) 1550619421.745 * * [misc]simplify: iters left: 1 (191 enodes) 1550619421.786 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.786 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619421.786 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619421.786 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619421.786 * * [misc]simplify: Extracting #4: cost 38 inf + 42 1550619421.786 * * [misc]simplify: Extracting #5: cost 45 inf + 541 1550619421.788 * * [misc]simplify: Extracting #6: cost 13 inf + 2291 1550619421.790 * * [misc]simplify: Extracting #7: cost 0 inf + 5476 1550619421.794 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619421.794 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))) 1550619421.795 * * * * [misc]progress: [ 97 / 135 ] simplifiying candidate # 1550619421.795 * [enter]simplify: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) 1550619421.795 * * [misc]simplify: iters left: 6 (17 enodes) 1550619421.803 * * [misc]simplify: iters left: 5 (61 enodes) 1550619421.813 * * [misc]simplify: iters left: 4 (92 enodes) 1550619421.827 * * [misc]simplify: iters left: 3 (132 enodes) 1550619421.847 * * [misc]simplify: iters left: 2 (170 enodes) 1550619421.871 * * [misc]simplify: iters left: 1 (203 enodes) 1550619421.914 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619421.914 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619421.914 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550619421.914 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619421.914 * * [misc]simplify: Extracting #4: cost 42 inf + 164 1550619421.915 * * [misc]simplify: Extracting #5: cost 47 inf + 670 1550619421.916 * * [misc]simplify: Extracting #6: cost 18 inf + 2212 1550619421.918 * * [misc]simplify: Extracting #7: cost 5 inf + 6304 1550619421.921 * * [misc]simplify: Extracting #8: cost 0 inf + 8686 1550619421.924 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) 1550619421.924 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))) 1550619421.924 * [enter]simplify: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619421.925 * * [misc]simplify: iters left: 6 (16 enodes) 1550619421.931 * * [misc]simplify: iters left: 5 (56 enodes) 1550619421.950 * * [misc]simplify: iters left: 4 (83 enodes) 1550619421.974 * * [misc]simplify: iters left: 3 (120 enodes) 1550619421.997 * * [misc]simplify: iters left: 2 (158 enodes) 1550619422.020 * * [misc]simplify: iters left: 1 (191 enodes) 1550619422.046 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619422.047 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619422.047 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619422.047 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619422.047 * * [misc]simplify: Extracting #4: cost 38 inf + 42 1550619422.047 * * [misc]simplify: Extracting #5: cost 45 inf + 461 1550619422.048 * * [misc]simplify: Extracting #6: cost 13 inf + 2211 1550619422.049 * * [misc]simplify: Extracting #7: cost 0 inf + 5316 1550619422.050 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619422.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))) 1550619422.050 * * * * [misc]progress: [ 98 / 135 ] simplifiying candidate # 1550619422.050 * [enter]simplify: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) 1) 1550619422.050 * * [misc]simplify: iters left: 6 (16 enodes) 1550619422.055 * * [misc]simplify: iters left: 5 (58 enodes) 1550619422.065 * * [misc]simplify: iters left: 4 (95 enodes) 1550619422.081 * * [misc]simplify: iters left: 3 (132 enodes) 1550619422.114 * * [misc]simplify: iters left: 2 (166 enodes) 1550619422.137 * * [misc]simplify: iters left: 1 (198 enodes) 1550619422.186 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619422.186 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619422.186 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550619422.186 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619422.186 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1550619422.186 * * [misc]simplify: Extracting #5: cost 47 inf + 258 1550619422.187 * * [misc]simplify: Extracting #6: cost 22 inf + 1555 1550619422.188 * * [misc]simplify: Extracting #7: cost 2 inf + 5361 1550619422.189 * * [misc]simplify: Extracting #8: cost 0 inf + 5896 1550619422.190 * [exit]simplify: Simplified to (* (cbrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k))))) 1550619422.190 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k))))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619422.190 * [enter]simplify: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619422.191 * * [misc]simplify: iters left: 6 (15 enodes) 1550619422.194 * * [misc]simplify: iters left: 5 (53 enodes) 1550619422.203 * * [misc]simplify: iters left: 4 (80 enodes) 1550619422.217 * * [misc]simplify: iters left: 3 (117 enodes) 1550619422.242 * * [misc]simplify: iters left: 2 (155 enodes) 1550619422.287 * * [misc]simplify: iters left: 1 (189 enodes) 1550619422.339 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619422.339 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619422.339 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619422.339 * * [misc]simplify: Extracting #3: cost 9 inf + 42 1550619422.339 * * [misc]simplify: Extracting #4: cost 35 inf + 83 1550619422.340 * * [misc]simplify: Extracting #5: cost 43 inf + 383 1550619422.341 * * [misc]simplify: Extracting #6: cost 16 inf + 1882 1550619422.343 * * [misc]simplify: Extracting #7: cost 1 inf + 4539 1550619422.345 * * [misc]simplify: Extracting #8: cost 0 inf + 5074 1550619422.347 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619422.347 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) 1) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619422.347 * * * * [misc]progress: [ 99 / 135 ] simplifiying candidate # 1550619422.348 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619422.348 * * [misc]simplify: iters left: 6 (17 enodes) 1550619422.357 * * [misc]simplify: iters left: 5 (61 enodes) 1550619422.374 * * [misc]simplify: iters left: 4 (90 enodes) 1550619422.389 * * [misc]simplify: iters left: 3 (127 enodes) 1550619422.413 * * [misc]simplify: iters left: 2 (165 enodes) 1550619422.457 * * [misc]simplify: iters left: 1 (199 enodes) 1550619422.508 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619422.508 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619422.508 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550619422.508 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550619422.508 * * [misc]simplify: Extracting #4: cost 42 inf + 42 1550619422.509 * * [misc]simplify: Extracting #5: cost 47 inf + 863 1550619422.510 * * [misc]simplify: Extracting #6: cost 22 inf + 2159 1550619422.512 * * [misc]simplify: Extracting #7: cost 2 inf + 5632 1550619422.515 * * [misc]simplify: Extracting #8: cost 0 inf + 6860 1550619422.517 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619422.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))) 1550619422.518 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619422.518 * * [misc]simplify: iters left: 6 (16 enodes) 1550619422.526 * * [misc]simplify: iters left: 5 (56 enodes) 1550619422.548 * * [misc]simplify: iters left: 4 (83 enodes) 1550619422.572 * * [misc]simplify: iters left: 3 (120 enodes) 1550619422.593 * * [misc]simplify: iters left: 2 (158 enodes) 1550619422.617 * * [misc]simplify: iters left: 1 (191 enodes) 1550619422.669 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619422.669 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619422.669 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619422.669 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619422.669 * * [misc]simplify: Extracting #4: cost 38 inf + 42 1550619422.670 * * [misc]simplify: Extracting #5: cost 45 inf + 541 1550619422.670 * * [misc]simplify: Extracting #6: cost 13 inf + 2291 1550619422.671 * * [misc]simplify: Extracting #7: cost 0 inf + 5316 1550619422.672 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619422.672 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))) 1550619422.672 * * * * [misc]progress: [ 100 / 135 ] simplifiying candidate # 1550619422.673 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619422.673 * * [misc]simplify: iters left: 6 (16 enodes) 1550619422.677 * * [misc]simplify: iters left: 5 (56 enodes) 1550619422.686 * * [misc]simplify: iters left: 4 (83 enodes) 1550619422.701 * * [misc]simplify: iters left: 3 (120 enodes) 1550619422.735 * * [misc]simplify: iters left: 2 (158 enodes) 1550619422.779 * * [misc]simplify: iters left: 1 (191 enodes) 1550619422.828 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619422.828 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619422.828 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619422.828 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619422.828 * * [misc]simplify: Extracting #4: cost 38 inf + 42 1550619422.829 * * [misc]simplify: Extracting #5: cost 45 inf + 461 1550619422.830 * * [misc]simplify: Extracting #6: cost 13 inf + 2211 1550619422.832 * * [misc]simplify: Extracting #7: cost 0 inf + 5156 1550619422.834 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619422.835 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))) 1550619422.835 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619422.835 * * [misc]simplify: iters left: 6 (16 enodes) 1550619422.842 * * [misc]simplify: iters left: 5 (56 enodes) 1550619422.851 * * [misc]simplify: iters left: 4 (83 enodes) 1550619422.863 * * [misc]simplify: iters left: 3 (120 enodes) 1550619422.883 * * [misc]simplify: iters left: 2 (158 enodes) 1550619422.906 * * [misc]simplify: iters left: 1 (191 enodes) 1550619422.952 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619422.952 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619422.952 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619422.952 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619422.952 * * [misc]simplify: Extracting #4: cost 38 inf + 42 1550619422.952 * * [misc]simplify: Extracting #5: cost 45 inf + 461 1550619422.954 * * [misc]simplify: Extracting #6: cost 13 inf + 2211 1550619422.955 * * [misc]simplify: Extracting #7: cost 0 inf + 5156 1550619422.957 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619422.957 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))) 1550619422.957 * * * * [misc]progress: [ 101 / 135 ] simplifiying candidate # 1550619422.958 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) 1) 1550619422.958 * * [misc]simplify: iters left: 6 (15 enodes) 1550619422.965 * * [misc]simplify: iters left: 5 (53 enodes) 1550619422.983 * * [misc]simplify: iters left: 4 (82 enodes) 1550619423.012 * * [misc]simplify: iters left: 3 (118 enodes) 1550619423.043 * * [misc]simplify: iters left: 2 (152 enodes) 1550619423.065 * * [misc]simplify: iters left: 1 (184 enodes) 1550619423.110 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.110 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619423.110 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619423.110 * * [misc]simplify: Extracting #3: cost 33 inf + 1 1550619423.111 * * [misc]simplify: Extracting #4: cost 41 inf + 301 1550619423.112 * * [misc]simplify: Extracting #5: cost 17 inf + 1515 1550619423.114 * * [misc]simplify: Extracting #6: cost 2 inf + 3382 1550619423.115 * * [misc]simplify: Extracting #7: cost 0 inf + 3838 1550619423.117 * [exit]simplify: Simplified to (sqrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) 1550619423.117 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619423.118 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619423.118 * * [misc]simplify: iters left: 6 (15 enodes) 1550619423.126 * * [misc]simplify: iters left: 5 (53 enodes) 1550619423.143 * * [misc]simplify: iters left: 4 (80 enodes) 1550619423.169 * * [misc]simplify: iters left: 3 (117 enodes) 1550619423.201 * * [misc]simplify: iters left: 2 (155 enodes) 1550619423.244 * * [misc]simplify: iters left: 1 (189 enodes) 1550619423.278 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.278 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619423.278 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619423.278 * * [misc]simplify: Extracting #3: cost 9 inf + 42 1550619423.279 * * [misc]simplify: Extracting #4: cost 35 inf + 83 1550619423.279 * * [misc]simplify: Extracting #5: cost 43 inf + 383 1550619423.280 * * [misc]simplify: Extracting #6: cost 16 inf + 1882 1550619423.282 * * [misc]simplify: Extracting #7: cost 1 inf + 4419 1550619423.284 * * [misc]simplify: Extracting #8: cost 0 inf + 4914 1550619423.287 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619423.287 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) 1) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619423.287 * * * * [misc]progress: [ 102 / 135 ] simplifiying candidate # 1550619423.287 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619423.287 * * [misc]simplify: iters left: 6 (6 enodes) 1550619423.291 * * [misc]simplify: iters left: 5 (22 enodes) 1550619423.298 * * [misc]simplify: iters left: 4 (26 enodes) 1550619423.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.306 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619423.306 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619423.306 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550619423.307 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1550619423.307 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1550619423.307 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1550619423.308 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619423.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619423.308 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619423.308 * * [misc]simplify: iters left: 6 (15 enodes) 1550619423.316 * * [misc]simplify: iters left: 5 (53 enodes) 1550619423.333 * * [misc]simplify: iters left: 4 (80 enodes) 1550619423.357 * * [misc]simplify: iters left: 3 (117 enodes) 1550619423.390 * * [misc]simplify: iters left: 2 (155 enodes) 1550619423.414 * * [misc]simplify: iters left: 1 (189 enodes) 1550619423.463 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.463 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619423.463 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619423.463 * * [misc]simplify: Extracting #3: cost 38 inf + 0 1550619423.463 * * [misc]simplify: Extracting #4: cost 45 inf + 342 1550619423.464 * * [misc]simplify: Extracting #5: cost 19 inf + 1754 1550619423.465 * * [misc]simplify: Extracting #6: cost 1 inf + 3871 1550619423.466 * * [misc]simplify: Extracting #7: cost 0 inf + 4406 1550619423.467 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619423.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619423.467 * * * * [misc]progress: [ 103 / 135 ] simplifiying candidate # 1550619423.467 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1550619423.467 * * [misc]simplify: iters left: 4 (5 enodes) 1550619423.469 * * [misc]simplify: iters left: 3 (17 enodes) 1550619423.471 * * [misc]simplify: iters left: 2 (19 enodes) 1550619423.474 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.474 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619423.474 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619423.474 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550619423.474 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1550619423.475 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550619423.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619423.475 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619423.475 * * [misc]simplify: iters left: 6 (15 enodes) 1550619423.479 * * [misc]simplify: iters left: 5 (53 enodes) 1550619423.490 * * [misc]simplify: iters left: 4 (80 enodes) 1550619423.511 * * [misc]simplify: iters left: 3 (117 enodes) 1550619423.543 * * [misc]simplify: iters left: 2 (155 enodes) 1550619423.587 * * [misc]simplify: iters left: 1 (189 enodes) 1550619423.625 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.625 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619423.625 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619423.625 * * [misc]simplify: Extracting #3: cost 38 inf + 0 1550619423.625 * * [misc]simplify: Extracting #4: cost 45 inf + 342 1550619423.626 * * [misc]simplify: Extracting #5: cost 19 inf + 1674 1550619423.627 * * [misc]simplify: Extracting #6: cost 1 inf + 3751 1550619423.628 * * [misc]simplify: Extracting #7: cost 0 inf + 4246 1550619423.629 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619423.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619423.629 * * * * [misc]progress: [ 104 / 135 ] simplifiying candidate # 1550619423.629 * [enter]simplify: Simplifying (/ 1 1) 1550619423.629 * * [misc]simplify: iters left: 2 (2 enodes) 1550619423.630 * * [misc]simplify: iters left: 1 (6 enodes) 1550619423.631 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.631 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619423.631 * [exit]simplify: Simplified to 1 1550619423.631 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619423.631 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619423.631 * * [misc]simplify: iters left: 6 (14 enodes) 1550619423.635 * * [misc]simplify: iters left: 5 (50 enodes) 1550619423.643 * * [misc]simplify: iters left: 4 (77 enodes) 1550619423.655 * * [misc]simplify: iters left: 3 (114 enodes) 1550619423.673 * * [misc]simplify: iters left: 2 (152 enodes) 1550619423.696 * * [misc]simplify: iters left: 1 (186 enodes) 1550619423.730 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.730 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619423.730 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619423.730 * * [misc]simplify: Extracting #3: cost 33 inf + 83 1550619423.730 * * [misc]simplify: Extracting #4: cost 44 inf + 257 1550619423.731 * * [misc]simplify: Extracting #5: cost 15 inf + 1882 1550619423.732 * * [misc]simplify: Extracting #6: cost 2 inf + 3627 1550619423.733 * * [misc]simplify: Extracting #7: cost 0 inf + 4004 1550619423.734 * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619423.734 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619423.735 * * * * [misc]progress: [ 105 / 135 ] simplifiying candidate # 1550619423.735 * * * * [misc]progress: [ 106 / 135 ] simplifiying candidate # 1550619423.735 * * * * [misc]progress: [ 107 / 135 ] simplifiying candidate # 1550619423.735 * * * * [misc]progress: [ 108 / 135 ] simplifiying candidate # 1550619423.735 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1550619423.735 * * [misc]simplify: iters left: 2 (3 enodes) 1550619423.736 * * [misc]simplify: iters left: 1 (9 enodes) 1550619423.737 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.737 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619423.737 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619423.737 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550619423.737 * * [misc]simplify: Extracting #4: cost 0 inf + 325 1550619423.737 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1550619423.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1550619423.737 * * * * [misc]progress: [ 109 / 135 ] simplifiying candidate # 1550619423.737 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1550619423.737 * * [misc]simplify: iters left: 2 (3 enodes) 1550619423.738 * * [misc]simplify: iters left: 1 (9 enodes) 1550619423.740 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.740 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619423.740 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619423.740 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550619423.740 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1550619423.740 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1550619423.740 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1550619423.740 * * * * [misc]progress: [ 110 / 135 ] simplifiying candidate # 1550619423.740 * [enter]simplify: Simplifying (sqrt k) 1550619423.740 * * [misc]simplify: iters left: 1 (2 enodes) 1550619423.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.741 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619423.741 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1550619423.741 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1550619423.741 * [exit]simplify: Simplified to (sqrt k) 1550619423.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) 1) (sqrt k))) 1550619423.741 * * * * [misc]progress: [ 111 / 135 ] simplifiying candidate # 1550619423.741 * [enter]simplify: Simplifying (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1550619423.741 * * [misc]simplify: iters left: 5 (9 enodes) 1550619423.744 * * [misc]simplify: iters left: 4 (33 enodes) 1550619423.750 * * [misc]simplify: iters left: 3 (50 enodes) 1550619423.758 * * [misc]simplify: iters left: 2 (80 enodes) 1550619423.769 * * [misc]simplify: iters left: 1 (110 enodes) 1550619423.787 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.787 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619423.787 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1550619423.788 * * [misc]simplify: Extracting #3: cost 31 inf + 299 1550619423.789 * * [misc]simplify: Extracting #4: cost 2 inf + 2089 1550619423.790 * * [misc]simplify: Extracting #5: cost 0 inf + 2173 1550619423.792 * [exit]simplify: Simplified to (sqrt (/ (* PI n) 1/2)) 1550619423.792 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (* PI n) 1/2)) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k)))))) 1550619423.792 * * * * [misc]progress: [ 112 / 135 ] simplifiying candidate # 1550619423.792 * [enter]simplify: Simplifying (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1550619423.792 * * [misc]simplify: iters left: 5 (9 enodes) 1550619423.797 * * [misc]simplify: iters left: 4 (33 enodes) 1550619423.806 * * [misc]simplify: iters left: 3 (50 enodes) 1550619423.815 * * [misc]simplify: iters left: 2 (80 enodes) 1550619423.826 * * [misc]simplify: iters left: 1 (110 enodes) 1550619423.841 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.841 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619423.841 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1550619423.841 * * [misc]simplify: Extracting #3: cost 31 inf + 299 1550619423.843 * * [misc]simplify: Extracting #4: cost 2 inf + 2089 1550619423.844 * * [misc]simplify: Extracting #5: cost 0 inf + 2173 1550619423.845 * [exit]simplify: Simplified to (sqrt (/ (* PI n) 1/2)) 1550619423.845 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (* PI n) 1/2)) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k)))))) 1550619423.845 * * * * [misc]progress: [ 113 / 135 ] simplifiying candidate # 1550619423.846 * [enter]simplify: Simplifying (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) 1550619423.846 * * [misc]simplify: iters left: 6 (14 enodes) 1550619423.853 * * [misc]simplify: iters left: 5 (50 enodes) 1550619423.869 * * [misc]simplify: iters left: 4 (77 enodes) 1550619423.895 * * [misc]simplify: iters left: 3 (114 enodes) 1550619423.923 * * [misc]simplify: iters left: 2 (152 enodes) 1550619423.947 * * [misc]simplify: iters left: 1 (186 enodes) 1550619423.989 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619423.989 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619423.989 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550619423.989 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1550619423.990 * * [misc]simplify: Extracting #4: cost 37 inf + 88 1550619423.990 * * [misc]simplify: Extracting #5: cost 39 inf + 509 1550619423.990 * * [misc]simplify: Extracting #6: cost 11 inf + 2293 1550619423.991 * * [misc]simplify: Extracting #7: cost 0 inf + 3982 1550619423.992 * [exit]simplify: Simplified to (pow (* (cbrt (/ (* PI n) 1/2)) (cbrt (/ (* PI n) 1/2))) (- 1/2 (* 1/2 k))) 1550619423.992 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt (/ (* PI n) 1/2)) (cbrt (/ (* PI n) 1/2))) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))))) 1550619423.992 * * * * [misc]progress: [ 114 / 135 ] simplifiying candidate # 1550619423.993 * [enter]simplify: Simplifying (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) 1550619423.993 * * [misc]simplify: iters left: 6 (13 enodes) 1550619423.996 * * [misc]simplify: iters left: 5 (47 enodes) 1550619424.004 * * [misc]simplify: iters left: 4 (74 enodes) 1550619424.016 * * [misc]simplify: iters left: 3 (111 enodes) 1550619424.031 * * [misc]simplify: iters left: 2 (149 enodes) 1550619424.053 * * [misc]simplify: iters left: 1 (183 enodes) 1550619424.078 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.078 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619424.078 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550619424.078 * * [misc]simplify: Extracting #3: cost 39 inf + 1 1550619424.078 * * [misc]simplify: Extracting #4: cost 41 inf + 261 1550619424.079 * * [misc]simplify: Extracting #5: cost 9 inf + 2011 1550619424.080 * * [misc]simplify: Extracting #6: cost 1 inf + 2923 1550619424.080 * * [misc]simplify: Extracting #7: cost 0 inf + 3338 1550619424.081 * [exit]simplify: Simplified to (pow (sqrt (* 2 (* PI n))) (- 1/2 (* k 1/2))) 1550619424.081 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (sqrt (* 2 (* PI n))) (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))))) 1550619424.082 * * * * [misc]progress: [ 115 / 135 ] simplifiying candidate # 1550619424.082 * [enter]simplify: Simplifying (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) 1550619424.082 * * [misc]simplify: iters left: 6 (12 enodes) 1550619424.086 * * [misc]simplify: iters left: 5 (41 enodes) 1550619424.092 * * [misc]simplify: iters left: 4 (53 enodes) 1550619424.108 * * [misc]simplify: iters left: 3 (60 enodes) 1550619424.124 * * [misc]simplify: iters left: 2 (68 enodes) 1550619424.146 * * [misc]simplify: iters left: 1 (77 enodes) 1550619424.164 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.164 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619424.164 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550619424.165 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619424.165 * * [misc]simplify: Extracting #4: cost 19 inf + 214 1550619424.165 * * [misc]simplify: Extracting #5: cost 12 inf + 505 1550619424.165 * * [misc]simplify: Extracting #6: cost 6 inf + 1198 1550619424.166 * * [misc]simplify: Extracting #7: cost 1 inf + 2384 1550619424.167 * * [misc]simplify: Extracting #8: cost 0 inf + 2879 1550619424.168 * [exit]simplify: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1550619424.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k)))))) 1550619424.168 * * * * [misc]progress: [ 116 / 135 ] simplifiying candidate # 1550619424.168 * [enter]simplify: Simplifying (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1550619424.168 * * [misc]simplify: iters left: 6 (11 enodes) 1550619424.173 * * [misc]simplify: iters left: 5 (36 enodes) 1550619424.190 * * [misc]simplify: iters left: 4 (46 enodes) 1550619424.201 * * [misc]simplify: iters left: 3 (53 enodes) 1550619424.208 * * [misc]simplify: iters left: 2 (61 enodes) 1550619424.218 * * [misc]simplify: iters left: 1 (70 enodes) 1550619424.227 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.227 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619424.227 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550619424.227 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550619424.227 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1550619424.227 * * [misc]simplify: Extracting #5: cost 11 inf + 340 1550619424.227 * * [misc]simplify: Extracting #6: cost 4 inf + 794 1550619424.228 * * [misc]simplify: Extracting #7: cost 0 inf + 1829 1550619424.228 * [exit]simplify: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) 1550619424.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k)))))) 1550619424.228 * * * * [misc]progress: [ 117 / 135 ] simplifiying candidate # 1550619424.228 * [enter]simplify: Simplifying (pow (/ -2 1) (- 1/2 (* 1/2 k))) 1550619424.229 * * [misc]simplify: iters left: 5 (8 enodes) 1550619424.231 * * [misc]simplify: iters left: 4 (27 enodes) 1550619424.236 * * [misc]simplify: iters left: 3 (39 enodes) 1550619424.242 * * [misc]simplify: iters left: 2 (45 enodes) 1550619424.248 * * [misc]simplify: iters left: 1 (49 enodes) 1550619424.256 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.256 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619424.256 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619424.256 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619424.256 * * [misc]simplify: Extracting #4: cost 9 inf + 130 1550619424.256 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1550619424.257 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619424.257 * [exit]simplify: Simplified to (pow -2 (- 1/2 (* 1/2 k))) 1550619424.257 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow -2 (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k)))))) 1550619424.257 * * * * [misc]progress: [ 118 / 135 ] simplifiying candidate # 1550619424.257 * [enter]simplify: Simplifying (pow (/ -2 -1) (- 1/2 (* 1/2 k))) 1550619424.257 * * [misc]simplify: iters left: 5 (8 enodes) 1550619424.260 * * [misc]simplify: iters left: 4 (28 enodes) 1550619424.266 * * [misc]simplify: iters left: 3 (38 enodes) 1550619424.280 * * [misc]simplify: iters left: 2 (45 enodes) 1550619424.292 * * [misc]simplify: iters left: 1 (53 enodes) 1550619424.309 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.309 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619424.309 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619424.309 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619424.309 * * [misc]simplify: Extracting #4: cost 9 inf + 130 1550619424.309 * * [misc]simplify: Extracting #5: cost 2 inf + 754 1550619424.310 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619424.310 * [exit]simplify: Simplified to (pow 2 (- 1/2 (* 1/2 k))) 1550619424.310 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k)))))) 1550619424.311 * * * * [misc]progress: [ 119 / 135 ] simplifiying candidate # 1550619424.311 * [enter]simplify: Simplifying (pow 1 (- 1/2 (* 1/2 k))) 1550619424.311 * * [misc]simplify: iters left: 5 (6 enodes) 1550619424.314 * * [misc]simplify: iters left: 4 (21 enodes) 1550619424.321 * * [misc]simplify: iters left: 3 (33 enodes) 1550619424.326 * * [misc]simplify: iters left: 2 (39 enodes) 1550619424.331 * * [misc]simplify: iters left: 1 (43 enodes) 1550619424.338 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.338 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619424.338 * [exit]simplify: Simplified to 1 1550619424.338 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))))) 1550619424.338 * * * * [misc]progress: [ 120 / 135 ] simplifiying candidate # 1550619424.338 * [enter]simplify: Simplifying (pow (* -2 PI) (- 1/2 (* 1/2 k))) 1550619424.338 * * [misc]simplify: iters left: 5 (8 enodes) 1550619424.340 * * [misc]simplify: iters left: 4 (28 enodes) 1550619424.345 * * [misc]simplify: iters left: 3 (38 enodes) 1550619424.351 * * [misc]simplify: iters left: 2 (45 enodes) 1550619424.362 * * [misc]simplify: iters left: 1 (53 enodes) 1550619424.372 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.372 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619424.372 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550619424.372 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1550619424.372 * * [misc]simplify: Extracting #4: cost 9 inf + 215 1550619424.372 * * [misc]simplify: Extracting #5: cost 2 inf + 880 1550619424.373 * * [misc]simplify: Extracting #6: cost 0 inf + 1256 1550619424.373 * [exit]simplify: Simplified to (pow (* -2 PI) (- 1/2 (* 1/2 k))) 1550619424.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k)))))) 1550619424.373 * * * * [misc]progress: [ 121 / 135 ] simplifiying candidate # 1550619424.373 * [enter]simplify: Simplifying (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) 1550619424.373 * * [misc]simplify: iters left: 5 (10 enodes) 1550619424.376 * * [misc]simplify: iters left: 4 (36 enodes) 1550619424.386 * * [misc]simplify: iters left: 3 (53 enodes) 1550619424.395 * * [misc]simplify: iters left: 2 (62 enodes) 1550619424.412 * * [misc]simplify: iters left: 1 (70 enodes) 1550619424.422 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.422 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619424.422 * * [misc]simplify: Extracting #2: cost 16 inf + 0 1550619424.422 * * [misc]simplify: Extracting #3: cost 20 inf + 5 1550619424.423 * * [misc]simplify: Extracting #4: cost 4 inf + 967 1550619424.423 * * [misc]simplify: Extracting #5: cost 0 inf + 1426 1550619424.423 * [exit]simplify: Simplified to (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1550619424.423 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619424.423 * * * * [misc]progress: [ 122 / 135 ] simplifiying candidate # 1550619424.424 * [enter]simplify: Simplifying (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) 1550619424.424 * * [misc]simplify: iters left: 6 (14 enodes) 1550619424.427 * * [misc]simplify: iters left: 5 (50 enodes) 1550619424.436 * * [misc]simplify: iters left: 4 (77 enodes) 1550619424.453 * * [misc]simplify: iters left: 3 (114 enodes) 1550619424.482 * * [misc]simplify: iters left: 2 (152 enodes) 1550619424.505 * * [misc]simplify: iters left: 1 (186 enodes) 1550619424.532 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.532 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619424.532 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619424.532 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550619424.533 * * [misc]simplify: Extracting #4: cost 35 inf + 0 1550619424.533 * * [misc]simplify: Extracting #5: cost 48 inf + 132 1550619424.533 * * [misc]simplify: Extracting #6: cost 22 inf + 1471 1550619424.534 * * [misc]simplify: Extracting #7: cost 3 inf + 4453 1550619424.535 * * [misc]simplify: Extracting #8: cost 0 inf + 4912 1550619424.536 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))))) 1550619424.536 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))))) (/ (sqrt k) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))) 1550619424.536 * * * * [misc]progress: [ 123 / 135 ] simplifiying candidate # 1550619424.536 * [enter]simplify: Simplifying (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) 1550619424.537 * * [misc]simplify: iters left: 6 (13 enodes) 1550619424.540 * * [misc]simplify: iters left: 5 (47 enodes) 1550619424.554 * * [misc]simplify: iters left: 4 (74 enodes) 1550619424.577 * * [misc]simplify: iters left: 3 (111 enodes) 1550619424.611 * * [misc]simplify: iters left: 2 (149 enodes) 1550619424.640 * * [misc]simplify: iters left: 1 (183 enodes) 1550619424.677 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.677 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619424.677 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619424.677 * * [misc]simplify: Extracting #3: cost 33 inf + 0 1550619424.677 * * [misc]simplify: Extracting #4: cost 43 inf + 299 1550619424.678 * * [misc]simplify: Extracting #5: cost 17 inf + 1556 1550619424.680 * * [misc]simplify: Extracting #6: cost 3 inf + 3008 1550619424.682 * * [misc]simplify: Extracting #7: cost 0 inf + 3838 1550619424.684 * [exit]simplify: Simplified to (sqrt (pow (/ (* PI n) 1/2) (- 1/2 (* 1/2 k)))) 1550619424.684 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (/ (* PI n) 1/2) (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))) 1550619424.684 * * * * [misc]progress: [ 124 / 135 ] simplifiying candidate # 1550619424.684 * * * * [misc]progress: [ 125 / 135 ] simplifiying candidate # 1550619424.684 * [enter]simplify: Simplifying (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1550619424.685 * * [misc]simplify: iters left: 5 (9 enodes) 1550619424.689 * * [misc]simplify: iters left: 4 (33 enodes) 1550619424.703 * * [misc]simplify: iters left: 3 (50 enodes) 1550619424.719 * * [misc]simplify: iters left: 2 (80 enodes) 1550619424.737 * * [misc]simplify: iters left: 1 (110 enodes) 1550619424.754 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619424.754 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619424.754 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1550619424.755 * * [misc]simplify: Extracting #3: cost 31 inf + 299 1550619424.755 * * [misc]simplify: Extracting #4: cost 2 inf + 2089 1550619424.756 * * [misc]simplify: Extracting #5: cost 0 inf + 2173 1550619424.757 * [exit]simplify: Simplified to (sqrt (/ (* PI n) 1/2)) 1550619424.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (* PI n) 1/2)) (* (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (* 1/2 k))))) 1550619424.757 * * * * [misc]progress: [ 126 / 135 ] simplifiying candidate #real (real->posit16 (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))))> 1550619424.757 * * * * [misc]progress: [ 127 / 135 ] simplifiying candidate # 1550619424.757 * [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))))) 1550619424.757 * * [misc]simplify: iters left: 6 (37 enodes) 1550619424.770 * * [misc]simplify: iters left: 5 (179 enodes) 1550619424.831 * * [misc]simplify: iters left: 4 (458 enodes) 1550619425.034 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619425.035 * * [misc]simplify: Extracting #1: cost 57 inf + 0 1550619425.036 * * [misc]simplify: Extracting #2: cost 287 inf + 0 1550619425.039 * * [misc]simplify: Extracting #3: cost 485 inf + 158 1550619425.044 * * [misc]simplify: Extracting #4: cost 473 inf + 4949 1550619425.065 * * [misc]simplify: Extracting #5: cost 294 inf + 68227 1550619425.142 * * [misc]simplify: Extracting #6: cost 43 inf + 204764 1550619425.212 * * [misc]simplify: Extracting #7: cost 0 inf + 227627 1550619425.276 * * [misc]simplify: Extracting #8: cost 0 inf + 222950 1550619425.378 * * [misc]simplify: Extracting #9: cost 0 inf + 222310 1550619425.478 * [exit]simplify: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) 1550619425.478 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) (sqrt k))) 1550619425.479 * * * * [misc]progress: [ 128 / 135 ] simplifiying candidate # 1550619425.479 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1550619425.479 * * [misc]simplify: iters left: 6 (15 enodes) 1550619425.484 * * [misc]simplify: iters left: 5 (63 enodes) 1550619425.496 * * [misc]simplify: iters left: 4 (108 enodes) 1550619425.517 * * [misc]simplify: iters left: 3 (260 enodes) 1550619425.629 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619425.629 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550619425.629 * * [misc]simplify: Extracting #2: cost 115 inf + 0 1550619425.631 * * [misc]simplify: Extracting #3: cost 221 inf + 4 1550619425.634 * * [misc]simplify: Extracting #4: cost 174 inf + 5827 1550619425.645 * * [misc]simplify: Extracting #5: cost 46 inf + 35251 1550619425.663 * * [misc]simplify: Extracting #6: cost 0 inf + 47711 1550619425.679 * * [misc]simplify: Extracting #7: cost 0 inf + 47571 1550619425.688 * [exit]simplify: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) 1550619425.688 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619425.688 * * * * [misc]progress: [ 129 / 135 ] simplifiying candidate # 1550619425.688 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1550619425.689 * * [misc]simplify: iters left: 6 (15 enodes) 1550619425.695 * * [misc]simplify: iters left: 5 (60 enodes) 1550619425.706 * * [misc]simplify: iters left: 4 (111 enodes) 1550619425.727 * * [misc]simplify: iters left: 3 (294 enodes) 1550619425.848 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619425.848 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619425.848 * * [misc]simplify: Extracting #2: cost 142 inf + 0 1550619425.850 * * [misc]simplify: Extracting #3: cost 317 inf + 187 1550619425.853 * * [misc]simplify: Extracting #4: cost 290 inf + 2919 1550619425.869 * * [misc]simplify: Extracting #5: cost 105 inf + 47243 1550619425.898 * * [misc]simplify: Extracting #6: cost 3 inf + 79409 1550619425.927 * * [misc]simplify: Extracting #7: cost 0 inf + 77357 1550619425.959 * [exit]simplify: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) 1550619425.959 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619425.959 * * * * [misc]progress: [ 130 / 135 ] simplifiying candidate # 1550619425.959 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550619425.959 * * [misc]simplify: iters left: 4 (5 enodes) 1550619425.962 * * [misc]simplify: iters left: 3 (19 enodes) 1550619425.968 * * [misc]simplify: iters left: 2 (27 enodes) 1550619425.975 * * [misc]simplify: iters left: 1 (32 enodes) 1550619425.982 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619425.982 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619425.982 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550619425.982 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550619425.982 * [exit]simplify: Simplified to (* (* PI n) 2) 1550619425.982 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619425.982 * * * * [misc]progress: [ 131 / 135 ] simplifiying candidate # 1550619425.982 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550619425.982 * * [misc]simplify: iters left: 4 (5 enodes) 1550619425.984 * * [misc]simplify: iters left: 3 (19 enodes) 1550619425.986 * * [misc]simplify: iters left: 2 (27 enodes) 1550619425.990 * * [misc]simplify: iters left: 1 (32 enodes) 1550619425.994 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619425.994 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619425.994 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550619425.994 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550619425.994 * [exit]simplify: Simplified to (* (* PI n) 2) 1550619425.994 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619425.994 * * * * [misc]progress: [ 132 / 135 ] simplifiying candidate # 1550619425.995 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550619425.995 * * [misc]simplify: iters left: 4 (5 enodes) 1550619425.996 * * [misc]simplify: iters left: 3 (19 enodes) 1550619426.001 * * [misc]simplify: iters left: 2 (27 enodes) 1550619426.005 * * [misc]simplify: iters left: 1 (32 enodes) 1550619426.009 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619426.009 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619426.009 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550619426.009 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550619426.009 * [exit]simplify: Simplified to (* (* PI n) 2) 1550619426.009 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619426.009 * * * * [misc]progress: [ 133 / 135 ] simplifiying candidate # 1550619426.009 * [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)))))))))))))))))))))) 1550619426.009 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619426.010 * * * * [misc]progress: [ 134 / 135 ] simplifiying candidate # 1550619426.010 * [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)))))))) 1550619426.010 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619426.010 * * * * [misc]progress: [ 135 / 135 ] simplifiying candidate # 1550619426.010 * [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))))))))))) 1550619426.010 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619426.010 * * * [misc]progress: adding candidates to table 1550619427.495 * * [misc]progress: iteration 3 / 4 1550619427.495 * * * [misc]progress: picking best candidate 1550619427.522 * * * * [misc]pick: Picked # 1550619427.522 * * * [misc]progress: localizing error 1550619427.551 * * * [misc]progress: generating rewritten candidates 1550619427.551 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1550619427.554 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1550619427.570 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) 1550619427.570 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1550619427.584 * * * [misc]progress: generating series expansions 1550619427.584 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1550619427.584 * [misc]backup-simplify: Simplify (pow (* PI n) (- 1/2 (* 1/2 k))) into (pow (* n PI) (- 1/2 (* 1/2 k))) 1550619427.584 * [misc]approximate: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in (n k) around 0 1550619427.584 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in k 1550619427.584 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* n PI)))) in k 1550619427.584 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* n PI))) in k 1550619427.584 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619427.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.584 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619427.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.585 * [misc]taylor: Taking taylor expansion of k in k 1550619427.585 * [misc]backup-simplify: Simplify 0 into 0 1550619427.585 * [misc]backup-simplify: Simplify 1 into 1 1550619427.585 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in k 1550619427.585 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550619427.585 * [misc]taylor: Taking taylor expansion of n in k 1550619427.585 * [misc]backup-simplify: Simplify n into n 1550619427.585 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.585 * [misc]backup-simplify: Simplify PI into PI 1550619427.585 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550619427.585 * [misc]backup-simplify: Simplify (log (* n PI)) into (log (* n PI)) 1550619427.585 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619427.585 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.585 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.586 * [misc]backup-simplify: Simplify (* 1/2 (log (* n PI))) into (* 1/2 (log (* n PI))) 1550619427.586 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* n PI)))) into (pow (* n PI) 1/2) 1550619427.586 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in n 1550619427.586 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* n PI)))) in n 1550619427.586 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* n PI))) in n 1550619427.586 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619427.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.586 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619427.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.586 * [misc]taylor: Taking taylor expansion of k in n 1550619427.586 * [misc]backup-simplify: Simplify k into k 1550619427.586 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550619427.586 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.586 * [misc]taylor: Taking taylor expansion of n in n 1550619427.586 * [misc]backup-simplify: Simplify 0 into 0 1550619427.586 * [misc]backup-simplify: Simplify 1 into 1 1550619427.586 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.586 * [misc]backup-simplify: Simplify PI into PI 1550619427.587 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.587 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.587 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.588 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619427.588 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619427.588 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619427.588 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.589 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550619427.589 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550619427.589 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in n 1550619427.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* n PI)))) in n 1550619427.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* n PI))) in n 1550619427.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619427.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.589 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619427.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.589 * [misc]taylor: Taking taylor expansion of k in n 1550619427.589 * [misc]backup-simplify: Simplify k into k 1550619427.589 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550619427.589 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.589 * [misc]taylor: Taking taylor expansion of n in n 1550619427.589 * [misc]backup-simplify: Simplify 0 into 0 1550619427.589 * [misc]backup-simplify: Simplify 1 into 1 1550619427.589 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.589 * [misc]backup-simplify: Simplify PI into PI 1550619427.590 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.590 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.591 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.591 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619427.591 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619427.591 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619427.591 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.592 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550619427.592 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550619427.592 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) in k 1550619427.592 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) in k 1550619427.592 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619427.592 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.592 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619427.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.593 * [misc]taylor: Taking taylor expansion of k in k 1550619427.593 * [misc]backup-simplify: Simplify 0 into 0 1550619427.593 * [misc]backup-simplify: Simplify 1 into 1 1550619427.593 * [misc]taylor: Taking taylor expansion of (+ (log PI) (log n)) in k 1550619427.593 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619427.593 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.593 * [misc]backup-simplify: Simplify PI into PI 1550619427.593 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.593 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619427.593 * [misc]taylor: Taking taylor expansion of n in k 1550619427.593 * [misc]backup-simplify: Simplify n into n 1550619427.593 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619427.593 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619427.593 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.594 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.594 * [misc]backup-simplify: Simplify (+ (log PI) (log n)) into (+ (log PI) (log n)) 1550619427.594 * [misc]backup-simplify: Simplify (* 1/2 (+ (log PI) (log n))) into (* 1/2 (+ (log PI) (log n))) 1550619427.595 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log PI) (log n)))) into (exp (* 1/2 (+ (log PI) (log n)))) 1550619427.595 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log PI) (log n)))) into (exp (* 1/2 (+ (log PI) (log n)))) 1550619427.596 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619427.598 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619427.599 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1550619427.599 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.599 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.599 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.600 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log PI) (log n)))) into 0 1550619427.601 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619427.601 * [misc]taylor: Taking taylor expansion of 0 in k 1550619427.601 * [misc]backup-simplify: Simplify 0 into 0 1550619427.601 * [misc]backup-simplify: Simplify 0 into 0 1550619427.604 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619427.604 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550619427.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.605 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619427.605 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619427.605 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619427.606 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log PI) (log n)))) into (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1550619427.607 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) 1550619427.607 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) 1550619427.609 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619427.614 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550619427.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550619427.614 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.615 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.615 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.616 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))) into 0 1550619427.618 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550619427.618 * [misc]taylor: Taking taylor expansion of 0 in k 1550619427.618 * [misc]backup-simplify: Simplify 0 into 0 1550619427.618 * [misc]backup-simplify: Simplify 0 into 0 1550619427.618 * [misc]backup-simplify: Simplify 0 into 0 1550619427.622 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550619427.624 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550619427.624 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619427.624 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.625 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.625 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log PI) (log n))))) into 0 1550619427.627 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) 1550619427.628 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) into (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) 1550619427.631 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log PI) (log n)))))) into (- (+ (* 1/8 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (+ (* 1/4 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (exp (* 1/2 (+ (log PI) (log n))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) k))))) 1550619427.631 * [misc]backup-simplify: Simplify (pow (* PI (/ 1 n)) (- 1/2 (* 1/2 (/ 1 k)))) into (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.631 * [misc]approximate: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1550619427.631 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619427.631 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in k 1550619427.631 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in k 1550619427.631 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619427.631 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.631 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.631 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.631 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.631 * [misc]taylor: Taking taylor expansion of k in k 1550619427.631 * [misc]backup-simplify: Simplify 0 into 0 1550619427.631 * [misc]backup-simplify: Simplify 1 into 1 1550619427.631 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.631 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in k 1550619427.631 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619427.631 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.631 * [misc]backup-simplify: Simplify PI into PI 1550619427.631 * [misc]taylor: Taking taylor expansion of n in k 1550619427.631 * [misc]backup-simplify: Simplify n into n 1550619427.631 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619427.631 * [misc]backup-simplify: Simplify (log (/ PI n)) into (log (/ PI n)) 1550619427.631 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.632 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619427.632 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619427.632 * [misc]backup-simplify: Simplify (* -1/2 (log (/ PI n))) into (* -1/2 (log (/ PI n))) 1550619427.632 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) into (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.632 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.632 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in n 1550619427.632 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in n 1550619427.632 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.632 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.632 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.632 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.632 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.632 * [misc]taylor: Taking taylor expansion of k in n 1550619427.632 * [misc]backup-simplify: Simplify k into k 1550619427.632 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.632 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550619427.632 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.632 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.632 * [misc]backup-simplify: Simplify PI into PI 1550619427.632 * [misc]taylor: Taking taylor expansion of n in n 1550619427.632 * [misc]backup-simplify: Simplify 0 into 0 1550619427.632 * [misc]backup-simplify: Simplify 1 into 1 1550619427.633 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.633 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.633 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.633 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.633 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.633 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.634 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.634 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in n 1550619427.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in n 1550619427.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.634 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.634 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.634 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.634 * [misc]taylor: Taking taylor expansion of k in n 1550619427.634 * [misc]backup-simplify: Simplify k into k 1550619427.634 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.634 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550619427.634 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.634 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.634 * [misc]backup-simplify: Simplify PI into PI 1550619427.634 * [misc]taylor: Taking taylor expansion of n in n 1550619427.634 * [misc]backup-simplify: Simplify 0 into 0 1550619427.634 * [misc]backup-simplify: Simplify 1 into 1 1550619427.634 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.634 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.634 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.635 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.635 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.635 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.635 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.635 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.635 * [misc]taylor: Taking taylor expansion of (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619427.635 * [misc]taylor: Taking taylor expansion of (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619427.635 * [misc]taylor: Taking taylor expansion of (- (log PI) (log n)) in k 1550619427.635 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619427.636 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.636 * [misc]backup-simplify: Simplify PI into PI 1550619427.636 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.636 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619427.636 * [misc]taylor: Taking taylor expansion of n in k 1550619427.636 * [misc]backup-simplify: Simplify n into n 1550619427.636 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619427.636 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619427.636 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.636 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.636 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.636 * [misc]taylor: Taking taylor expansion of k in k 1550619427.636 * [misc]backup-simplify: Simplify 0 into 0 1550619427.636 * [misc]backup-simplify: Simplify 1 into 1 1550619427.636 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.636 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619427.636 * [misc]backup-simplify: Simplify (+ (log PI) (- (log n))) into (- (log PI) (log n)) 1550619427.640 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.640 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619427.640 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619427.640 * [misc]backup-simplify: Simplify (* (- (log PI) (log n)) -1/2) into (* -1/2 (- (log PI) (log n))) 1550619427.641 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.641 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.642 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619427.643 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619427.643 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619427.643 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619427.643 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.644 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.644 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log PI) (log n)))) into 0 1550619427.645 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619427.645 * [misc]taylor: Taking taylor expansion of 0 in k 1550619427.645 * [misc]backup-simplify: Simplify 0 into 0 1550619427.645 * [misc]backup-simplify: Simplify 0 into 0 1550619427.645 * [misc]backup-simplify: Simplify 0 into 0 1550619427.646 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619427.648 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550619427.649 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619427.649 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619427.649 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.649 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.650 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0 1550619427.651 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550619427.651 * [misc]taylor: Taking taylor expansion of 0 in k 1550619427.651 * [misc]backup-simplify: Simplify 0 into 0 1550619427.651 * [misc]backup-simplify: Simplify 0 into 0 1550619427.651 * [misc]backup-simplify: Simplify 0 into 0 1550619427.651 * [misc]backup-simplify: Simplify 0 into 0 1550619427.653 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619427.657 * [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 1550619427.657 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619427.658 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619427.658 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.658 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.658 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.659 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0 1550619427.661 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1550619427.661 * [misc]taylor: Taking taylor expansion of 0 in k 1550619427.661 * [misc]backup-simplify: Simplify 0 into 0 1550619427.661 * [misc]backup-simplify: Simplify 0 into 0 1550619427.661 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) 1550619427.661 * [misc]backup-simplify: Simplify (pow (* PI (/ 1 (- n))) (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619427.661 * [misc]approximate: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1550619427.661 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619427.661 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in k 1550619427.661 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in k 1550619427.661 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619427.661 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.661 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.661 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.661 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.661 * [misc]taylor: Taking taylor expansion of k in k 1550619427.661 * [misc]backup-simplify: Simplify 0 into 0 1550619427.661 * [misc]backup-simplify: Simplify 1 into 1 1550619427.662 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.662 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.662 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1550619427.662 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in k 1550619427.662 * [misc]taylor: Taking taylor expansion of -1 in k 1550619427.662 * [misc]backup-simplify: Simplify -1 into -1 1550619427.662 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619427.662 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.662 * [misc]backup-simplify: Simplify PI into PI 1550619427.662 * [misc]taylor: Taking taylor expansion of n in k 1550619427.662 * [misc]backup-simplify: Simplify n into n 1550619427.662 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619427.662 * [misc]backup-simplify: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 1550619427.662 * [misc]backup-simplify: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 1550619427.662 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.662 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.662 * [misc]backup-simplify: Simplify (* 1/2 (log (* -1 (/ PI n)))) into (* 1/2 (log (* -1 (/ PI n)))) 1550619427.662 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) into (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619427.662 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619427.662 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in n 1550619427.662 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in n 1550619427.662 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619427.662 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.662 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.662 * [misc]taylor: Taking taylor expansion of k in n 1550619427.663 * [misc]backup-simplify: Simplify k into k 1550619427.663 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.663 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.663 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550619427.663 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619427.663 * [misc]taylor: Taking taylor expansion of -1 in n 1550619427.663 * [misc]backup-simplify: Simplify -1 into -1 1550619427.663 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.663 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.663 * [misc]backup-simplify: Simplify PI into PI 1550619427.663 * [misc]taylor: Taking taylor expansion of n in n 1550619427.663 * [misc]backup-simplify: Simplify 0 into 0 1550619427.663 * [misc]backup-simplify: Simplify 1 into 1 1550619427.663 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.663 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619427.663 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619427.664 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.664 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619427.664 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619427.664 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550619427.665 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619427.665 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619427.665 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in n 1550619427.665 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in n 1550619427.665 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619427.665 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.665 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.665 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.665 * [misc]taylor: Taking taylor expansion of k in n 1550619427.665 * [misc]backup-simplify: Simplify k into k 1550619427.665 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.665 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.665 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550619427.665 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619427.665 * [misc]taylor: Taking taylor expansion of -1 in n 1550619427.665 * [misc]backup-simplify: Simplify -1 into -1 1550619427.665 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.665 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.665 * [misc]backup-simplify: Simplify PI into PI 1550619427.665 * [misc]taylor: Taking taylor expansion of n in n 1550619427.665 * [misc]backup-simplify: Simplify 0 into 0 1550619427.665 * [misc]backup-simplify: Simplify 1 into 1 1550619427.665 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.666 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619427.666 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619427.666 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.666 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619427.666 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619427.667 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550619427.667 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619427.667 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) in k 1550619427.667 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) in k 1550619427.667 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619427.667 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.667 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.667 * [misc]taylor: Taking taylor expansion of k in k 1550619427.667 * [misc]backup-simplify: Simplify 0 into 0 1550619427.667 * [misc]backup-simplify: Simplify 1 into 1 1550619427.667 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.668 * [misc]taylor: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 1550619427.668 * [misc]taylor: Taking taylor expansion of (log (* -1 PI)) in k 1550619427.668 * [misc]taylor: Taking taylor expansion of (* -1 PI) in k 1550619427.668 * [misc]taylor: Taking taylor expansion of -1 in k 1550619427.668 * [misc]backup-simplify: Simplify -1 into -1 1550619427.668 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.668 * [misc]backup-simplify: Simplify PI into PI 1550619427.668 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619427.668 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619427.668 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619427.668 * [misc]taylor: Taking taylor expansion of n in k 1550619427.668 * [misc]backup-simplify: Simplify n into n 1550619427.668 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619427.668 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.668 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.668 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619427.669 * [misc]backup-simplify: Simplify (+ (log (* -1 PI)) (- (log n))) into (- (log (* -1 PI)) (log n)) 1550619427.669 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -1 PI)) (log n))) into (* 1/2 (- (log (* -1 PI)) (log n))) 1550619427.669 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619427.670 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619427.671 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619427.671 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 1550619427.672 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 PI) 1)))) 1) into 0 1550619427.673 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619427.673 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619427.673 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.673 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619427.674 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -1 PI)) (log n)))) into 0 1550619427.674 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619427.675 * [misc]taylor: Taking taylor expansion of 0 in k 1550619427.675 * [misc]backup-simplify: Simplify 0 into 0 1550619427.675 * [misc]backup-simplify: Simplify 0 into 0 1550619427.675 * [misc]backup-simplify: Simplify 0 into 0 1550619427.675 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619427.676 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1550619427.679 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 PI) 1)))) 2) into 0 1550619427.679 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619427.679 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619427.679 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.680 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619427.680 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -1 PI)) (log n))))) into 0 1550619427.682 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550619427.682 * [misc]taylor: Taking taylor expansion of 0 in k 1550619427.682 * [misc]backup-simplify: Simplify 0 into 0 1550619427.682 * [misc]backup-simplify: Simplify 0 into 0 1550619427.682 * [misc]backup-simplify: Simplify 0 into 0 1550619427.682 * [misc]backup-simplify: Simplify 0 into 0 1550619427.683 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619427.684 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619427.689 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 PI) 1)))) 6) into 0 1550619427.689 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619427.690 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619427.690 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.690 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619427.691 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 PI)) (log n)))))) into 0 1550619427.693 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1550619427.693 * [misc]taylor: Taking taylor expansion of 0 in k 1550619427.693 * [misc]backup-simplify: Simplify 0 into 0 1550619427.693 * [misc]backup-simplify: Simplify 0 into 0 1550619427.693 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n)))))) into (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) 1550619427.693 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1550619427.694 * [misc]backup-simplify: Simplify (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))) into (* (* (pow (* n PI) (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1550619427.694 * [misc]approximate: Taking taylor expansion of (* (* (pow (* n PI) (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1550619427.694 * [misc]taylor: Taking taylor expansion of (* (* (pow (* n PI) (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1550619427.694 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1550619427.694 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in n 1550619427.694 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* n PI)))) in n 1550619427.694 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* n PI))) in n 1550619427.694 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619427.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.694 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619427.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.694 * [misc]taylor: Taking taylor expansion of k in n 1550619427.694 * [misc]backup-simplify: Simplify k into k 1550619427.694 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550619427.694 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.694 * [misc]taylor: Taking taylor expansion of n in n 1550619427.694 * [misc]backup-simplify: Simplify 0 into 0 1550619427.694 * [misc]backup-simplify: Simplify 1 into 1 1550619427.694 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.694 * [misc]backup-simplify: Simplify PI into PI 1550619427.694 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.695 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.695 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.695 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619427.695 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619427.695 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619427.695 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.696 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550619427.696 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550619427.696 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1550619427.696 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1550619427.696 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1550619427.696 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619427.696 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.696 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619427.696 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.696 * [misc]taylor: Taking taylor expansion of k in n 1550619427.696 * [misc]backup-simplify: Simplify k into k 1550619427.696 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.696 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.696 * [misc]backup-simplify: Simplify 2 into 2 1550619427.696 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.696 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619427.696 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619427.696 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619427.697 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1550619427.697 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1550619427.697 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550619427.697 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.697 * [misc]taylor: Taking taylor expansion of k in n 1550619427.697 * [misc]backup-simplify: Simplify k into k 1550619427.697 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.697 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550619427.697 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619427.697 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550619427.697 * [misc]taylor: Taking taylor expansion of (* (* (pow (* n PI) (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1550619427.697 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in k 1550619427.698 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in k 1550619427.698 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* n PI)))) in k 1550619427.698 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* n PI))) in k 1550619427.698 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619427.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.698 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619427.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.698 * [misc]taylor: Taking taylor expansion of k in k 1550619427.698 * [misc]backup-simplify: Simplify 0 into 0 1550619427.698 * [misc]backup-simplify: Simplify 1 into 1 1550619427.698 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in k 1550619427.698 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550619427.698 * [misc]taylor: Taking taylor expansion of n in k 1550619427.698 * [misc]backup-simplify: Simplify n into n 1550619427.698 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.698 * [misc]backup-simplify: Simplify PI into PI 1550619427.698 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550619427.698 * [misc]backup-simplify: Simplify (log (* n PI)) into (log (* n PI)) 1550619427.698 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619427.698 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.699 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.699 * [misc]backup-simplify: Simplify (* 1/2 (log (* n PI))) into (* 1/2 (log (* n PI))) 1550619427.699 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* n PI)))) into (pow (* n PI) 1/2) 1550619427.699 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1550619427.699 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1550619427.699 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1550619427.699 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619427.699 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.699 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619427.699 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.699 * [misc]taylor: Taking taylor expansion of k in k 1550619427.699 * [misc]backup-simplify: Simplify 0 into 0 1550619427.699 * [misc]backup-simplify: Simplify 1 into 1 1550619427.699 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619427.699 * [misc]taylor: Taking taylor expansion of 2 in k 1550619427.699 * [misc]backup-simplify: Simplify 2 into 2 1550619427.699 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.700 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619427.700 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.700 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.700 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550619427.701 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1550619427.701 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619427.701 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.701 * [misc]taylor: Taking taylor expansion of k in k 1550619427.701 * [misc]backup-simplify: Simplify 0 into 0 1550619427.701 * [misc]backup-simplify: Simplify 1 into 1 1550619427.701 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.701 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.702 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619427.702 * [misc]taylor: Taking taylor expansion of (* (* (pow (* n PI) (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1550619427.702 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in k 1550619427.702 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in k 1550619427.702 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* n PI)))) in k 1550619427.702 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* n PI))) in k 1550619427.702 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619427.702 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.702 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619427.702 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.702 * [misc]taylor: Taking taylor expansion of k in k 1550619427.702 * [misc]backup-simplify: Simplify 0 into 0 1550619427.702 * [misc]backup-simplify: Simplify 1 into 1 1550619427.702 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in k 1550619427.702 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550619427.702 * [misc]taylor: Taking taylor expansion of n in k 1550619427.702 * [misc]backup-simplify: Simplify n into n 1550619427.702 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.702 * [misc]backup-simplify: Simplify PI into PI 1550619427.702 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550619427.702 * [misc]backup-simplify: Simplify (log (* n PI)) into (log (* n PI)) 1550619427.702 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619427.703 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.703 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.703 * [misc]backup-simplify: Simplify (* 1/2 (log (* n PI))) into (* 1/2 (log (* n PI))) 1550619427.703 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* n PI)))) into (pow (* n PI) 1/2) 1550619427.703 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1550619427.703 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1550619427.703 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1550619427.703 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619427.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.703 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619427.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.703 * [misc]taylor: Taking taylor expansion of k in k 1550619427.703 * [misc]backup-simplify: Simplify 0 into 0 1550619427.703 * [misc]backup-simplify: Simplify 1 into 1 1550619427.703 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619427.703 * [misc]taylor: Taking taylor expansion of 2 in k 1550619427.703 * [misc]backup-simplify: Simplify 2 into 2 1550619427.704 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.704 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619427.704 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.704 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.704 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550619427.705 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1550619427.705 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619427.705 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.705 * [misc]taylor: Taking taylor expansion of k in k 1550619427.705 * [misc]backup-simplify: Simplify 0 into 0 1550619427.705 * [misc]backup-simplify: Simplify 1 into 1 1550619427.705 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.705 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.705 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619427.705 * [misc]backup-simplify: Simplify (* (pow (* n PI) 1/2) (pow 2 1/2)) into (sqrt (* n (* PI 2))) 1550619427.706 * [misc]backup-simplify: Simplify (* (sqrt (* n (* PI 2))) 0) into 0 1550619427.706 * [misc]taylor: Taking taylor expansion of 0 in n 1550619427.706 * [misc]backup-simplify: Simplify 0 into 0 1550619427.706 * [misc]backup-simplify: Simplify 0 into 0 1550619427.707 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550619427.707 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619427.707 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619427.707 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619427.708 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1550619427.709 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1550619427.710 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1550619427.710 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* n PI) 1)))) 1) into 0 1550619427.710 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619427.710 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619427.710 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619427.711 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* n PI)))) into (- (* 1/2 (log (* n PI)))) 1550619427.711 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* n PI)))) (+ (* (/ (pow (- (* 1/2 (log (* n PI)))) 1) 1)))) into (* -1/2 (* (log (* n PI)) (sqrt (* n PI)))) 1550619427.711 * [misc]backup-simplify: Simplify (+ (* (pow (* n PI) 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (log (* n PI)) (sqrt (* n PI)))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) 1550619427.712 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n (* PI 2))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1550619427.712 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1550619427.712 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550619427.712 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.712 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.712 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550619427.712 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.713 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.713 * [misc]backup-simplify: Simplify 2 into 2 1550619427.713 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.713 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.713 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.713 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.713 * [misc]taylor: Taking taylor expansion of n in n 1550619427.713 * [misc]backup-simplify: Simplify 0 into 0 1550619427.713 * [misc]backup-simplify: Simplify 1 into 1 1550619427.713 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.713 * [misc]backup-simplify: Simplify PI into PI 1550619427.713 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.713 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.714 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.714 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.714 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550619427.714 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.714 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.714 * [misc]backup-simplify: Simplify 0 into 0 1550619427.714 * [misc]backup-simplify: Simplify 0 into 0 1550619427.714 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550619427.715 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619427.717 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1550619427.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619427.718 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.718 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1550619427.720 * [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))) 1550619427.720 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1550619427.721 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* n PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* n PI) 1)))) 2) into 0 1550619427.721 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619427.721 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.722 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.722 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* n PI))))) into 0 1550619427.722 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* n PI)))) (+ (* (/ (pow (- (* 1/2 (log (* n PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log (* n PI)) 2) (sqrt (* n PI)))) 1550619427.724 * [misc]backup-simplify: Simplify (+ (* (pow (* n PI) 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (log (* n PI)) (sqrt (* n PI)))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (pow (log (* n PI)) 2) (sqrt (* n PI)))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/8 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))))) 1550619427.726 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n (* PI 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/8 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1550619427.726 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1550619427.727 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1550619427.727 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550619427.727 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.727 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.727 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1550619427.727 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1550619427.727 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.727 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.727 * [misc]backup-simplify: Simplify 2 into 2 1550619427.727 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.727 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.727 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.727 * [misc]backup-simplify: Simplify 2 into 2 1550619427.727 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.727 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.727 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.727 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.727 * [misc]taylor: Taking taylor expansion of n in n 1550619427.727 * [misc]backup-simplify: Simplify 0 into 0 1550619427.727 * [misc]backup-simplify: Simplify 1 into 1 1550619427.727 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.727 * [misc]backup-simplify: Simplify PI into PI 1550619427.727 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.728 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.728 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.728 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.728 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1550619427.728 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1550619427.728 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) in n 1550619427.728 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.728 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.728 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))) in n 1550619427.728 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* n PI))) in n 1550619427.728 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.728 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.728 * [misc]backup-simplify: Simplify 2 into 2 1550619427.728 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.729 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.729 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550619427.729 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.729 * [misc]taylor: Taking taylor expansion of n in n 1550619427.729 * [misc]backup-simplify: Simplify 0 into 0 1550619427.729 * [misc]backup-simplify: Simplify 1 into 1 1550619427.729 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.729 * [misc]backup-simplify: Simplify PI into PI 1550619427.729 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.729 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.729 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.729 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.729 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.729 * [misc]taylor: Taking taylor expansion of n in n 1550619427.729 * [misc]backup-simplify: Simplify 0 into 0 1550619427.729 * [misc]backup-simplify: Simplify 1 into 1 1550619427.729 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.729 * [misc]backup-simplify: Simplify PI into PI 1550619427.730 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.730 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.730 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.730 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.730 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1550619427.730 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550619427.730 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.730 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.730 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550619427.730 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.730 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.730 * [misc]backup-simplify: Simplify 2 into 2 1550619427.731 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.731 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.731 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.731 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.731 * [misc]taylor: Taking taylor expansion of n in n 1550619427.731 * [misc]backup-simplify: Simplify 0 into 0 1550619427.731 * [misc]backup-simplify: Simplify 1 into 1 1550619427.731 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.731 * [misc]backup-simplify: Simplify PI into PI 1550619427.731 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.731 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.731 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.732 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.732 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1550619427.732 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1550619427.732 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.733 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.733 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log PI) (log n))) into (* (sqrt 2) (+ (log PI) (log n))) 1550619427.734 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log PI) (log n))) 0) into 0 1550619427.734 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.734 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550619427.734 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.734 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.735 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.735 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.735 * [misc]backup-simplify: Simplify 0 into 0 1550619427.736 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619427.738 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619427.739 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619427.740 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619427.740 * [misc]backup-simplify: Simplify 0 into 0 1550619427.741 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619427.742 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619427.750 * [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 1550619427.750 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619427.750 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1550619427.757 * [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))) 1550619427.758 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619427.760 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* n PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* n PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* n PI) 1)))) 6) into 0 1550619427.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619427.761 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* n PI)))))) into 0 1550619427.763 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* n PI)))) (+ (* (/ (pow (- (* 1/2 (log (* n PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* n PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log (* n PI)) 3) (sqrt (* n PI)))) 1550619427.768 * [misc]backup-simplify: Simplify (+ (* (pow (* n PI) 1/2) (* -1/48 (* (pow (log 2) 3) (sqrt 2)))) (+ (* (* -1/2 (* (log (* n PI)) (sqrt (* n PI)))) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* 1/8 (* (pow (log (* n PI)) 2) (sqrt (* n PI)))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/48 (* (pow (log (* n PI)) 3) (sqrt (* n PI)))) (pow 2 1/2))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log (* n PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* n PI)) 3)) (sqrt (* n PI)))))))) 1550619427.777 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n (* PI 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/8 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log (* n PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* n PI)) 3)) (sqrt (* n PI)))))))) 0)))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))))))))) 1550619427.778 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))))))))) in n 1550619427.778 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))))))))))) in n 1550619427.778 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550619427.778 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.778 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.778 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1550619427.778 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1550619427.778 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.778 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.778 * [misc]backup-simplify: Simplify 2 into 2 1550619427.778 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.778 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.778 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.778 * [misc]backup-simplify: Simplify 2 into 2 1550619427.778 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.779 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.779 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.779 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.779 * [misc]taylor: Taking taylor expansion of n in n 1550619427.779 * [misc]backup-simplify: Simplify 0 into 0 1550619427.779 * [misc]backup-simplify: Simplify 1 into 1 1550619427.779 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.779 * [misc]backup-simplify: Simplify PI into PI 1550619427.779 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.780 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.780 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.780 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.781 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))))))) in n 1550619427.781 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))))))))) in n 1550619427.781 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550619427.781 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.781 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.781 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1550619427.781 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1550619427.781 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1550619427.781 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.781 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.781 * [misc]backup-simplify: Simplify 2 into 2 1550619427.781 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.781 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.781 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.781 * [misc]backup-simplify: Simplify 2 into 2 1550619427.781 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.782 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.782 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.782 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.782 * [misc]taylor: Taking taylor expansion of n in n 1550619427.782 * [misc]backup-simplify: Simplify 0 into 0 1550619427.782 * [misc]backup-simplify: Simplify 1 into 1 1550619427.782 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.782 * [misc]backup-simplify: Simplify PI into PI 1550619427.782 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.783 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.783 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.783 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))))) in n 1550619427.783 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))))))) in n 1550619427.783 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) in n 1550619427.783 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.784 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.784 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI))) in n 1550619427.784 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log (* n PI)))) in n 1550619427.784 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.784 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.784 * [misc]backup-simplify: Simplify 2 into 2 1550619427.784 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.784 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* n PI))) in n 1550619427.784 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.784 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.784 * [misc]backup-simplify: Simplify 2 into 2 1550619427.784 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.784 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.784 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550619427.784 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.784 * [misc]taylor: Taking taylor expansion of n in n 1550619427.784 * [misc]backup-simplify: Simplify 0 into 0 1550619427.785 * [misc]backup-simplify: Simplify 1 into 1 1550619427.785 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.785 * [misc]backup-simplify: Simplify PI into PI 1550619427.785 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.785 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.786 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.786 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.786 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.786 * [misc]taylor: Taking taylor expansion of n in n 1550619427.786 * [misc]backup-simplify: Simplify 0 into 0 1550619427.786 * [misc]backup-simplify: Simplify 1 into 1 1550619427.786 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.786 * [misc]backup-simplify: Simplify PI into PI 1550619427.786 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.787 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.787 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.787 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.787 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))) in n 1550619427.787 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))))) in n 1550619427.787 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) in n 1550619427.788 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.788 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.788 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI))) in n 1550619427.788 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* n PI)) 2)) in n 1550619427.788 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.788 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.788 * [misc]backup-simplify: Simplify 2 into 2 1550619427.788 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.788 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.788 * [misc]taylor: Taking taylor expansion of (pow (log (* n PI)) 2) in n 1550619427.788 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550619427.788 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.788 * [misc]taylor: Taking taylor expansion of n in n 1550619427.788 * [misc]backup-simplify: Simplify 0 into 0 1550619427.788 * [misc]backup-simplify: Simplify 1 into 1 1550619427.788 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.788 * [misc]backup-simplify: Simplify PI into PI 1550619427.789 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.789 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.789 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.790 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.790 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.790 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.790 * [misc]taylor: Taking taylor expansion of n in n 1550619427.790 * [misc]backup-simplify: Simplify 0 into 0 1550619427.790 * [misc]backup-simplify: Simplify 1 into 1 1550619427.790 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.790 * [misc]backup-simplify: Simplify PI into PI 1550619427.790 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.791 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.791 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.791 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.791 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))) in n 1550619427.792 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) in n 1550619427.792 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550619427.792 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.792 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.792 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550619427.792 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.792 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.792 * [misc]backup-simplify: Simplify 2 into 2 1550619427.792 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.792 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.792 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.792 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.792 * [misc]taylor: Taking taylor expansion of n in n 1550619427.792 * [misc]backup-simplify: Simplify 0 into 0 1550619427.792 * [misc]backup-simplify: Simplify 1 into 1 1550619427.792 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.792 * [misc]backup-simplify: Simplify PI into PI 1550619427.793 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.793 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.793 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.794 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.794 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))) in n 1550619427.794 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) in n 1550619427.794 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.794 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.794 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))) in n 1550619427.794 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* n PI))) in n 1550619427.794 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619427.794 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.794 * [misc]backup-simplify: Simplify 2 into 2 1550619427.794 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619427.795 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619427.795 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550619427.795 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.795 * [misc]taylor: Taking taylor expansion of n in n 1550619427.795 * [misc]backup-simplify: Simplify 0 into 0 1550619427.795 * [misc]backup-simplify: Simplify 1 into 1 1550619427.795 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.795 * [misc]backup-simplify: Simplify PI into PI 1550619427.795 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.796 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.796 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.796 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619427.796 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619427.796 * [misc]taylor: Taking taylor expansion of n in n 1550619427.797 * [misc]backup-simplify: Simplify 0 into 0 1550619427.797 * [misc]backup-simplify: Simplify 1 into 1 1550619427.797 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.797 * [misc]backup-simplify: Simplify PI into PI 1550619427.797 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619427.797 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619427.798 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.798 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619427.799 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1550619427.799 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1550619427.799 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.799 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1550619427.801 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1550619427.802 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1550619427.802 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.802 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.803 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log PI) (log n))) into (* (sqrt 2) (+ (log PI) (log n))) 1550619427.803 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (+ (log PI) (log n)))) into (* (log 2) (* (sqrt 2) (+ (log PI) (log n)))) 1550619427.804 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (+ (log PI) (log n)))) 0) into 0 1550619427.804 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.805 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.805 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.806 * [misc]backup-simplify: Simplify (* (+ (log PI) (log n)) (+ (log PI) (log n))) into (pow (+ (log PI) (log n)) 2) 1550619427.806 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log PI) (log n)) 2)) into (* (sqrt 2) (pow (+ (log PI) (log n)) 2)) 1550619427.807 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log PI) (log n)) 2)) 0) into 0 1550619427.807 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.807 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550619427.807 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.808 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.808 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log PI) (log n))) into (* (sqrt 2) (+ (log PI) (log n))) 1550619427.809 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log PI) (log n))) 0) into 0 1550619427.809 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619427.809 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.809 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.809 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.809 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.810 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.810 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.810 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.811 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.811 * [misc]backup-simplify: Simplify 0 into 0 1550619427.813 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550619427.813 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1550619427.816 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1550619427.818 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1550619427.820 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619427.822 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619427.822 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619427.823 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log PI) (log n)))) into 0 1550619427.824 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log PI) (log n))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))))) 1550619427.826 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))))) 1550619427.827 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619427.828 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619427.830 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619427.832 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1550619427.836 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1550619427.842 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) 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))))))))) 1550619427.849 * [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))))))))) 1550619427.856 * [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))))))))) 1550619427.857 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619427.859 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1550619427.860 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1550619427.862 * [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)))) 1550619427.867 * [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)))) 1550619427.869 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1550619427.871 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1550619427.880 * [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))))))))))))))) 1550619427.881 * [misc]backup-simplify: Simplify (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (/ (pow (* PI (/ 1 n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt (/ 1 k)))) into (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1550619427.881 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1550619427.881 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1550619427.881 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619427.881 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.881 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1550619427.881 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1550619427.881 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.881 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.881 * [misc]taylor: Taking taylor expansion of k in n 1550619427.881 * [misc]backup-simplify: Simplify k into k 1550619427.881 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.881 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.881 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.882 * [misc]backup-simplify: Simplify 2 into 2 1550619427.882 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.882 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.882 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.882 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.882 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.883 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.883 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.883 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in n 1550619427.883 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in n 1550619427.883 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.883 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.883 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.883 * [misc]taylor: Taking taylor expansion of k in n 1550619427.883 * [misc]backup-simplify: Simplify k into k 1550619427.883 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.883 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550619427.883 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.883 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.883 * [misc]backup-simplify: Simplify PI into PI 1550619427.883 * [misc]taylor: Taking taylor expansion of n in n 1550619427.883 * [misc]backup-simplify: Simplify 0 into 0 1550619427.883 * [misc]backup-simplify: Simplify 1 into 1 1550619427.884 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.884 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.884 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.884 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.884 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.885 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.885 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.886 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550619427.886 * [misc]taylor: Taking taylor expansion of k in n 1550619427.886 * [misc]backup-simplify: Simplify k into k 1550619427.886 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550619427.886 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550619427.886 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1550619427.886 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619427.886 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619427.886 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1550619427.886 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1550619427.886 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619427.886 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.886 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.886 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.886 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.886 * [misc]taylor: Taking taylor expansion of k in k 1550619427.886 * [misc]backup-simplify: Simplify 0 into 0 1550619427.886 * [misc]backup-simplify: Simplify 1 into 1 1550619427.886 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.887 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619427.887 * [misc]taylor: Taking taylor expansion of 2 in k 1550619427.887 * [misc]backup-simplify: Simplify 2 into 2 1550619427.887 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.887 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.887 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619427.887 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619427.888 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1550619427.888 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.888 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619427.888 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in k 1550619427.888 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in k 1550619427.888 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619427.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.888 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.888 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.888 * [misc]taylor: Taking taylor expansion of k in k 1550619427.888 * [misc]backup-simplify: Simplify 0 into 0 1550619427.888 * [misc]backup-simplify: Simplify 1 into 1 1550619427.889 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.889 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in k 1550619427.889 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619427.889 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.889 * [misc]backup-simplify: Simplify PI into PI 1550619427.889 * [misc]taylor: Taking taylor expansion of n in k 1550619427.889 * [misc]backup-simplify: Simplify n into n 1550619427.889 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619427.889 * [misc]backup-simplify: Simplify (log (/ PI n)) into (log (/ PI n)) 1550619427.889 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.889 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619427.889 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619427.890 * [misc]backup-simplify: Simplify (* -1/2 (log (/ PI n))) into (* -1/2 (log (/ PI n))) 1550619427.890 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) into (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.890 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619427.890 * [misc]taylor: Taking taylor expansion of k in k 1550619427.890 * [misc]backup-simplify: Simplify 0 into 0 1550619427.890 * [misc]backup-simplify: Simplify 1 into 1 1550619427.890 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.890 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619427.891 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1550619427.891 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619427.891 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619427.891 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1550619427.891 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1550619427.891 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619427.891 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.891 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.891 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.891 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.891 * [misc]taylor: Taking taylor expansion of k in k 1550619427.891 * [misc]backup-simplify: Simplify 0 into 0 1550619427.891 * [misc]backup-simplify: Simplify 1 into 1 1550619427.891 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.891 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619427.891 * [misc]taylor: Taking taylor expansion of 2 in k 1550619427.891 * [misc]backup-simplify: Simplify 2 into 2 1550619427.891 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.892 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.892 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619427.892 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619427.892 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1550619427.893 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.893 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619427.893 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in k 1550619427.893 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in k 1550619427.893 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619427.893 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.893 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.893 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.893 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.893 * [misc]taylor: Taking taylor expansion of k in k 1550619427.893 * [misc]backup-simplify: Simplify 0 into 0 1550619427.893 * [misc]backup-simplify: Simplify 1 into 1 1550619427.893 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.893 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in k 1550619427.893 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619427.893 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.893 * [misc]backup-simplify: Simplify PI into PI 1550619427.893 * [misc]taylor: Taking taylor expansion of n in k 1550619427.893 * [misc]backup-simplify: Simplify n into n 1550619427.893 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619427.893 * [misc]backup-simplify: Simplify (log (/ PI n)) into (log (/ PI n)) 1550619427.894 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.894 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619427.894 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619427.894 * [misc]backup-simplify: Simplify (* -1/2 (log (/ PI n))) into (* -1/2 (log (/ PI n))) 1550619427.894 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) into (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.894 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619427.894 * [misc]taylor: Taking taylor expansion of k in k 1550619427.894 * [misc]backup-simplify: Simplify 0 into 0 1550619427.894 * [misc]backup-simplify: Simplify 1 into 1 1550619427.895 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.895 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619427.895 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.896 * [misc]backup-simplify: Simplify (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1550619427.896 * [misc]taylor: Taking taylor expansion of 0 in n 1550619427.896 * [misc]backup-simplify: Simplify 0 into 0 1550619427.896 * [misc]backup-simplify: Simplify 0 into 0 1550619427.897 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1550619427.897 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619427.897 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1550619427.898 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619427.898 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.898 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.898 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619427.898 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619427.898 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.898 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.898 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.898 * [misc]backup-simplify: Simplify 2 into 2 1550619427.898 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.898 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.898 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.898 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.898 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.898 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.898 * [misc]taylor: Taking taylor expansion of k in n 1550619427.898 * [misc]backup-simplify: Simplify k into k 1550619427.898 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.898 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.898 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.899 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.899 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.899 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.899 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.899 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in n 1550619427.899 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in n 1550619427.899 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.899 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.899 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.899 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.900 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.900 * [misc]taylor: Taking taylor expansion of k in n 1550619427.900 * [misc]backup-simplify: Simplify k into k 1550619427.900 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.900 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550619427.900 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.900 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.900 * [misc]backup-simplify: Simplify PI into PI 1550619427.900 * [misc]taylor: Taking taylor expansion of n in n 1550619427.900 * [misc]backup-simplify: Simplify 0 into 0 1550619427.900 * [misc]backup-simplify: Simplify 1 into 1 1550619427.900 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.900 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.901 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.901 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.901 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.901 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.902 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.902 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.903 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1550619427.903 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619427.904 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619427.905 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619427.905 * [misc]backup-simplify: Simplify 0 into 0 1550619427.906 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619427.907 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550619427.907 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619427.907 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1550619427.907 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619427.907 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.907 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.907 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619427.908 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619427.908 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.908 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.908 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.908 * [misc]backup-simplify: Simplify 2 into 2 1550619427.908 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.908 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.908 * [misc]taylor: Taking taylor expansion of k in n 1550619427.908 * [misc]backup-simplify: Simplify k into k 1550619427.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.908 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.908 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.908 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.909 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.909 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.909 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.909 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in n 1550619427.909 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in n 1550619427.909 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.909 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.909 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.909 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.909 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.909 * [misc]taylor: Taking taylor expansion of k in n 1550619427.909 * [misc]backup-simplify: Simplify k into k 1550619427.910 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.910 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550619427.910 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.910 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.911 * [misc]backup-simplify: Simplify PI into PI 1550619427.911 * [misc]taylor: Taking taylor expansion of n in n 1550619427.911 * [misc]backup-simplify: Simplify 0 into 0 1550619427.911 * [misc]backup-simplify: Simplify 1 into 1 1550619427.911 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.912 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.912 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.912 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.912 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.912 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.913 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.913 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.914 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1550619427.914 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619427.915 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619427.915 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619427.916 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619427.919 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619427.919 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619427.919 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619427.919 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.919 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.920 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.920 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log PI) (log n)))) into 0 1550619427.921 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619427.921 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619427.921 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619427.922 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.924 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550619427.924 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1550619427.925 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619427.926 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550619427.927 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1550619427.927 * [misc]backup-simplify: Simplify (- 0) into 0 1550619427.927 * [misc]backup-simplify: Simplify 0 into 0 1550619427.927 * [misc]backup-simplify: Simplify 0 into 0 1550619427.928 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619427.929 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1550619427.930 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619427.930 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1550619427.930 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619427.930 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.930 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.930 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619427.930 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619427.930 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.930 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.930 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.930 * [misc]backup-simplify: Simplify 2 into 2 1550619427.930 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.931 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.931 * [misc]taylor: Taking taylor expansion of k in n 1550619427.931 * [misc]backup-simplify: Simplify k into k 1550619427.931 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.931 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.931 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.931 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.931 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.932 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.932 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619427.932 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in n 1550619427.932 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in n 1550619427.932 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619427.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.932 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.932 * [misc]taylor: Taking taylor expansion of k in n 1550619427.932 * [misc]backup-simplify: Simplify k into k 1550619427.932 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.932 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550619427.932 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.932 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.932 * [misc]backup-simplify: Simplify PI into PI 1550619427.932 * [misc]taylor: Taking taylor expansion of n in n 1550619427.932 * [misc]backup-simplify: Simplify 0 into 0 1550619427.932 * [misc]backup-simplify: Simplify 1 into 1 1550619427.933 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.933 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619427.933 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.933 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619427.933 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619427.934 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619427.934 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619427.934 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619427.935 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1550619427.936 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619427.937 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619427.937 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619427.940 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1550619427.941 * [misc]backup-simplify: Simplify (* (pow 2 (- 1/2 (* 1/2 (/ 1 (- k))))) (/ (pow (* PI (/ 1 (- n))) (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt (/ 1 (- k))))) into (/ (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1550619427.941 * [misc]approximate: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1550619427.941 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1550619427.941 * [misc]taylor: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619427.941 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619427.941 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in n 1550619427.941 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in n 1550619427.941 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619427.941 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.941 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.941 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.941 * [misc]taylor: Taking taylor expansion of k in n 1550619427.941 * [misc]backup-simplify: Simplify k into k 1550619427.941 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.941 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.941 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550619427.941 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619427.942 * [misc]taylor: Taking taylor expansion of -1 in n 1550619427.942 * [misc]backup-simplify: Simplify -1 into -1 1550619427.942 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.942 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.942 * [misc]backup-simplify: Simplify PI into PI 1550619427.942 * [misc]taylor: Taking taylor expansion of n in n 1550619427.942 * [misc]backup-simplify: Simplify 0 into 0 1550619427.942 * [misc]backup-simplify: Simplify 1 into 1 1550619427.942 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.942 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619427.943 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619427.943 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.943 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619427.944 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619427.944 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550619427.945 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619427.945 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619427.945 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1550619427.945 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1550619427.945 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619427.945 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.945 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.945 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.946 * [misc]taylor: Taking taylor expansion of k in n 1550619427.946 * [misc]backup-simplify: Simplify k into k 1550619427.946 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.946 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.946 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.946 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.946 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.946 * [misc]backup-simplify: Simplify 2 into 2 1550619427.946 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.946 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.946 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619427.946 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619427.947 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619427.947 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550619427.947 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550619427.947 * [misc]taylor: Taking taylor expansion of -1 in n 1550619427.947 * [misc]backup-simplify: Simplify -1 into -1 1550619427.947 * [misc]taylor: Taking taylor expansion of k in n 1550619427.947 * [misc]backup-simplify: Simplify k into k 1550619427.947 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550619427.947 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550619427.947 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550619427.948 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550619427.949 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (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 PI)) (log n))))) 1550619427.949 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) (sqrt (/ -1 k))) 1550619427.950 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.950 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.950 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of k in k 1550619427.950 * [misc]backup-simplify: Simplify 0 into 0 1550619427.950 * [misc]backup-simplify: Simplify 1 into 1 1550619427.950 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.950 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.950 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.950 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of -1 in k 1550619427.950 * [misc]backup-simplify: Simplify -1 into -1 1550619427.950 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619427.950 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.950 * [misc]backup-simplify: Simplify PI into PI 1550619427.950 * [misc]taylor: Taking taylor expansion of n in k 1550619427.950 * [misc]backup-simplify: Simplify n into n 1550619427.951 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619427.951 * [misc]backup-simplify: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 1550619427.951 * [misc]backup-simplify: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 1550619427.951 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.951 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.951 * [misc]backup-simplify: Simplify (* 1/2 (log (* -1 (/ PI n)))) into (* 1/2 (log (* -1 (/ PI n)))) 1550619427.951 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) into (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619427.951 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619427.951 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1550619427.951 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1550619427.952 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619427.952 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.952 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.952 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.952 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.952 * [misc]taylor: Taking taylor expansion of k in k 1550619427.952 * [misc]backup-simplify: Simplify 0 into 0 1550619427.952 * [misc]backup-simplify: Simplify 1 into 1 1550619427.952 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.952 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.952 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.952 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619427.952 * [misc]taylor: Taking taylor expansion of 2 in k 1550619427.952 * [misc]backup-simplify: Simplify 2 into 2 1550619427.952 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.952 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.953 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.953 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550619427.953 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619427.953 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619427.953 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619427.953 * [misc]taylor: Taking taylor expansion of -1 in k 1550619427.953 * [misc]backup-simplify: Simplify -1 into -1 1550619427.953 * [misc]taylor: Taking taylor expansion of k in k 1550619427.953 * [misc]backup-simplify: Simplify 0 into 0 1550619427.953 * [misc]backup-simplify: Simplify 1 into 1 1550619427.954 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619427.954 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.954 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619427.955 * [misc]backup-simplify: Simplify (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619427.955 * [misc]backup-simplify: Simplify (/ (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619427.955 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1550619427.955 * [misc]taylor: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1550619427.955 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619427.955 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in k 1550619427.955 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in k 1550619427.955 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619427.955 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.955 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.955 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.955 * [misc]taylor: Taking taylor expansion of k in k 1550619427.955 * [misc]backup-simplify: Simplify 0 into 0 1550619427.955 * [misc]backup-simplify: Simplify 1 into 1 1550619427.956 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.956 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.956 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1550619427.956 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in k 1550619427.956 * [misc]taylor: Taking taylor expansion of -1 in k 1550619427.956 * [misc]backup-simplify: Simplify -1 into -1 1550619427.956 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619427.956 * [misc]taylor: Taking taylor expansion of PI in k 1550619427.956 * [misc]backup-simplify: Simplify PI into PI 1550619427.956 * [misc]taylor: Taking taylor expansion of n in k 1550619427.956 * [misc]backup-simplify: Simplify n into n 1550619427.956 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619427.956 * [misc]backup-simplify: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 1550619427.956 * [misc]backup-simplify: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 1550619427.956 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.956 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.956 * [misc]backup-simplify: Simplify (* 1/2 (log (* -1 (/ PI n)))) into (* 1/2 (log (* -1 (/ PI n)))) 1550619427.957 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) into (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619427.957 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619427.957 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1550619427.957 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1550619427.957 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619427.957 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619427.957 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.957 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619427.957 * [misc]taylor: Taking taylor expansion of k in k 1550619427.957 * [misc]backup-simplify: Simplify 0 into 0 1550619427.957 * [misc]backup-simplify: Simplify 1 into 1 1550619427.957 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619427.957 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619427.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.957 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619427.957 * [misc]taylor: Taking taylor expansion of 2 in k 1550619427.957 * [misc]backup-simplify: Simplify 2 into 2 1550619427.957 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.958 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619427.958 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619427.958 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550619427.958 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619427.958 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619427.958 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619427.958 * [misc]taylor: Taking taylor expansion of -1 in k 1550619427.958 * [misc]backup-simplify: Simplify -1 into -1 1550619427.958 * [misc]taylor: Taking taylor expansion of k in k 1550619427.958 * [misc]backup-simplify: Simplify 0 into 0 1550619427.958 * [misc]backup-simplify: Simplify 1 into 1 1550619427.959 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619427.959 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619427.959 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619427.960 * [misc]backup-simplify: Simplify (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619427.960 * [misc]backup-simplify: Simplify (/ (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619427.960 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1550619427.960 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.960 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.960 * [misc]taylor: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619427.960 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619427.960 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in n 1550619427.960 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in n 1550619427.960 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619427.960 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.960 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.960 * [misc]taylor: Taking taylor expansion of k in n 1550619427.960 * [misc]backup-simplify: Simplify k into k 1550619427.961 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.961 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.961 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550619427.961 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619427.961 * [misc]taylor: Taking taylor expansion of -1 in n 1550619427.961 * [misc]backup-simplify: Simplify -1 into -1 1550619427.961 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.961 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.961 * [misc]backup-simplify: Simplify PI into PI 1550619427.961 * [misc]taylor: Taking taylor expansion of n in n 1550619427.961 * [misc]backup-simplify: Simplify 0 into 0 1550619427.961 * [misc]backup-simplify: Simplify 1 into 1 1550619427.961 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.961 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619427.962 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619427.962 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.962 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619427.963 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619427.963 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550619427.964 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619427.964 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619427.964 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619427.964 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.964 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.964 * [misc]backup-simplify: Simplify 2 into 2 1550619427.964 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.964 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619427.964 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.964 * [misc]taylor: Taking taylor expansion of k in n 1550619427.964 * [misc]backup-simplify: Simplify k into k 1550619427.964 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.964 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.964 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619427.965 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619427.965 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619427.966 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (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 PI)) (log n))))) 1550619427.966 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550619427.967 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550619427.968 * [misc]backup-simplify: Simplify (+ (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550619427.968 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550619427.969 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619427.970 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550619427.970 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.970 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.970 * [misc]taylor: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of k in n 1550619427.970 * [misc]backup-simplify: Simplify k into k 1550619427.970 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.970 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of -1 in n 1550619427.970 * [misc]backup-simplify: Simplify -1 into -1 1550619427.970 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.970 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.970 * [misc]backup-simplify: Simplify PI into PI 1550619427.970 * [misc]taylor: Taking taylor expansion of n in n 1550619427.970 * [misc]backup-simplify: Simplify 0 into 0 1550619427.971 * [misc]backup-simplify: Simplify 1 into 1 1550619427.971 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.971 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619427.971 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619427.971 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.972 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619427.972 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619427.973 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550619427.973 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619427.973 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619427.973 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619427.973 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619427.973 * [misc]taylor: Taking taylor expansion of 2 in n 1550619427.973 * [misc]backup-simplify: Simplify 2 into 2 1550619427.973 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619427.973 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619427.973 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.974 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.974 * [misc]taylor: Taking taylor expansion of k in n 1550619427.974 * [misc]backup-simplify: Simplify k into k 1550619427.974 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.974 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.974 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619427.974 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619427.974 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619427.975 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (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 PI)) (log n))))) 1550619427.976 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550619427.977 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) 1550619427.978 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) 1550619427.978 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619427.979 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619427.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.981 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550619427.981 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1550619427.982 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619427.983 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619427.983 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 1550619427.986 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 PI) 1)))) 1) into 0 1550619427.986 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619427.987 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619427.987 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619427.988 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619427.989 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -1 PI)) (log n)))) into 0 1550619427.991 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619427.992 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550619427.993 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into 0 1550619427.993 * [misc]backup-simplify: Simplify 0 into 0 1550619427.993 * [misc]backup-simplify: Simplify (+ (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1550619427.994 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619427.995 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619427.996 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550619427.996 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619427.997 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619427.997 * [misc]taylor: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.997 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of k in n 1550619427.997 * [misc]backup-simplify: Simplify k into k 1550619427.997 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619427.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619427.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619427.997 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619427.997 * [misc]taylor: Taking taylor expansion of -1 in n 1550619427.998 * [misc]backup-simplify: Simplify -1 into -1 1550619427.998 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619427.998 * [misc]taylor: Taking taylor expansion of PI in n 1550619427.998 * [misc]backup-simplify: Simplify PI into PI 1550619427.998 * [misc]taylor: Taking taylor expansion of n in n 1550619427.998 * [misc]backup-simplify: Simplify 0 into 0 1550619427.998 * [misc]backup-simplify: Simplify 1 into 1 1550619427.998 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619427.998 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619427.999 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619427.999 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619427.999 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619428.000 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619428.000 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550619428.001 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619428.001 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619428.001 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619428.001 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619428.001 * [misc]taylor: Taking taylor expansion of 2 in n 1550619428.001 * [misc]backup-simplify: Simplify 2 into 2 1550619428.001 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619428.001 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619428.001 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619428.001 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.001 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619428.002 * [misc]taylor: Taking taylor expansion of k in n 1550619428.002 * [misc]backup-simplify: Simplify k into k 1550619428.002 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619428.002 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.002 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619428.002 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619428.002 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619428.002 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619428.003 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (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 PI)) (log n))))) 1550619428.004 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550619428.005 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) 1550619428.006 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) 1550619428.010 * [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 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))))))) 1550619428.010 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) 1550619428.010 * [misc]backup-simplify: Simplify (* PI n) into (* n PI) 1550619428.010 * [misc]approximate: Taking taylor expansion of (* n PI) in (n) around 0 1550619428.010 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619428.010 * [misc]taylor: Taking taylor expansion of n in n 1550619428.010 * [misc]backup-simplify: Simplify 0 into 0 1550619428.010 * [misc]backup-simplify: Simplify 1 into 1 1550619428.010 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.010 * [misc]backup-simplify: Simplify PI into PI 1550619428.010 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619428.010 * [misc]taylor: Taking taylor expansion of n in n 1550619428.010 * [misc]backup-simplify: Simplify 0 into 0 1550619428.010 * [misc]backup-simplify: Simplify 1 into 1 1550619428.011 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.011 * [misc]backup-simplify: Simplify PI into PI 1550619428.011 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619428.011 * [misc]backup-simplify: Simplify 0 into 0 1550619428.012 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619428.012 * [misc]backup-simplify: Simplify PI into PI 1550619428.013 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619428.013 * [misc]backup-simplify: Simplify 0 into 0 1550619428.014 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619428.014 * [misc]backup-simplify: Simplify 0 into 0 1550619428.016 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619428.016 * [misc]backup-simplify: Simplify 0 into 0 1550619428.018 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550619428.018 * [misc]backup-simplify: Simplify 0 into 0 1550619428.021 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550619428.021 * [misc]backup-simplify: Simplify 0 into 0 1550619428.023 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1550619428.023 * [misc]backup-simplify: Simplify 0 into 0 1550619428.023 * [misc]backup-simplify: Simplify (* PI n) into (* n PI) 1550619428.023 * [misc]backup-simplify: Simplify (* PI (/ 1 n)) into (/ PI n) 1550619428.023 * [misc]approximate: Taking taylor expansion of (/ PI n) in (n) around 0 1550619428.023 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619428.023 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.023 * [misc]backup-simplify: Simplify PI into PI 1550619428.023 * [misc]taylor: Taking taylor expansion of n in n 1550619428.023 * [misc]backup-simplify: Simplify 0 into 0 1550619428.024 * [misc]backup-simplify: Simplify 1 into 1 1550619428.024 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619428.024 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619428.024 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.024 * [misc]backup-simplify: Simplify PI into PI 1550619428.024 * [misc]taylor: Taking taylor expansion of n in n 1550619428.024 * [misc]backup-simplify: Simplify 0 into 0 1550619428.024 * [misc]backup-simplify: Simplify 1 into 1 1550619428.024 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619428.024 * [misc]backup-simplify: Simplify PI into PI 1550619428.025 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619428.025 * [misc]backup-simplify: Simplify 0 into 0 1550619428.026 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.026 * [misc]backup-simplify: Simplify 0 into 0 1550619428.027 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.027 * [misc]backup-simplify: Simplify 0 into 0 1550619428.028 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.028 * [misc]backup-simplify: Simplify 0 into 0 1550619428.029 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.029 * [misc]backup-simplify: Simplify 0 into 0 1550619428.031 * [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 1550619428.031 * [misc]backup-simplify: Simplify 0 into 0 1550619428.031 * [misc]backup-simplify: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI) 1550619428.031 * [misc]backup-simplify: Simplify (* PI (/ 1 (- n))) into (* -1 (/ PI n)) 1550619428.031 * [misc]approximate: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1550619428.031 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619428.031 * [misc]taylor: Taking taylor expansion of -1 in n 1550619428.031 * [misc]backup-simplify: Simplify -1 into -1 1550619428.031 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619428.031 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.031 * [misc]backup-simplify: Simplify PI into PI 1550619428.031 * [misc]taylor: Taking taylor expansion of n in n 1550619428.031 * [misc]backup-simplify: Simplify 0 into 0 1550619428.031 * [misc]backup-simplify: Simplify 1 into 1 1550619428.031 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619428.031 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619428.031 * [misc]taylor: Taking taylor expansion of -1 in n 1550619428.031 * [misc]backup-simplify: Simplify -1 into -1 1550619428.031 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619428.032 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.032 * [misc]backup-simplify: Simplify PI into PI 1550619428.032 * [misc]taylor: Taking taylor expansion of n in n 1550619428.032 * [misc]backup-simplify: Simplify 0 into 0 1550619428.032 * [misc]backup-simplify: Simplify 1 into 1 1550619428.032 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619428.032 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619428.032 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619428.033 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619428.033 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 1550619428.033 * [misc]backup-simplify: Simplify 0 into 0 1550619428.034 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.035 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1550619428.035 * [misc]backup-simplify: Simplify 0 into 0 1550619428.036 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.036 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619428.036 * [misc]backup-simplify: Simplify 0 into 0 1550619428.038 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.039 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619428.039 * [misc]backup-simplify: Simplify 0 into 0 1550619428.040 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.042 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550619428.042 * [misc]backup-simplify: Simplify 0 into 0 1550619428.043 * [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 1550619428.046 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550619428.046 * [misc]backup-simplify: Simplify 0 into 0 1550619428.046 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI) 1550619428.046 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1550619428.046 * [misc]backup-simplify: Simplify (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)) into (* (pow (* n PI) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1550619428.046 * [misc]approximate: Taking taylor expansion of (* (pow (* n PI) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1550619428.046 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1550619428.046 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in k 1550619428.046 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* n PI)))) in k 1550619428.046 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* n PI))) in k 1550619428.046 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619428.046 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.047 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619428.047 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.047 * [misc]taylor: Taking taylor expansion of k in k 1550619428.047 * [misc]backup-simplify: Simplify 0 into 0 1550619428.047 * [misc]backup-simplify: Simplify 1 into 1 1550619428.047 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in k 1550619428.047 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550619428.047 * [misc]taylor: Taking taylor expansion of n in k 1550619428.047 * [misc]backup-simplify: Simplify n into n 1550619428.047 * [misc]taylor: Taking taylor expansion of PI in k 1550619428.047 * [misc]backup-simplify: Simplify PI into PI 1550619428.047 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550619428.047 * [misc]backup-simplify: Simplify (log (* n PI)) into (log (* n PI)) 1550619428.047 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619428.047 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.047 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619428.047 * [misc]backup-simplify: Simplify (* 1/2 (log (* n PI))) into (* 1/2 (log (* n PI))) 1550619428.047 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* n PI)))) into (pow (* n PI) 1/2) 1550619428.048 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619428.048 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619428.048 * [misc]taylor: Taking taylor expansion of k in k 1550619428.048 * [misc]backup-simplify: Simplify 0 into 0 1550619428.048 * [misc]backup-simplify: Simplify 1 into 1 1550619428.048 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619428.048 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619428.048 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619428.048 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1550619428.048 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in n 1550619428.048 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* n PI)))) in n 1550619428.048 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* n PI))) in n 1550619428.048 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619428.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.048 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619428.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.048 * [misc]taylor: Taking taylor expansion of k in n 1550619428.048 * [misc]backup-simplify: Simplify k into k 1550619428.048 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550619428.048 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619428.048 * [misc]taylor: Taking taylor expansion of n in n 1550619428.049 * [misc]backup-simplify: Simplify 0 into 0 1550619428.049 * [misc]backup-simplify: Simplify 1 into 1 1550619428.049 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.049 * [misc]backup-simplify: Simplify PI into PI 1550619428.049 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619428.049 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619428.049 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619428.049 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619428.049 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619428.049 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619428.050 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619428.050 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550619428.051 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550619428.051 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550619428.051 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619428.051 * [misc]taylor: Taking taylor expansion of k in n 1550619428.051 * [misc]backup-simplify: Simplify k into k 1550619428.051 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619428.051 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550619428.051 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619428.051 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550619428.051 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1550619428.051 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (- 1/2 (* 1/2 k))) in n 1550619428.051 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* n PI)))) in n 1550619428.051 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* n PI))) in n 1550619428.051 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619428.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.051 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619428.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.051 * [misc]taylor: Taking taylor expansion of k in n 1550619428.051 * [misc]backup-simplify: Simplify k into k 1550619428.051 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550619428.051 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619428.052 * [misc]taylor: Taking taylor expansion of n in n 1550619428.052 * [misc]backup-simplify: Simplify 0 into 0 1550619428.052 * [misc]backup-simplify: Simplify 1 into 1 1550619428.052 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.052 * [misc]backup-simplify: Simplify PI into PI 1550619428.052 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619428.052 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619428.052 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619428.052 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619428.052 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619428.052 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619428.053 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619428.053 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550619428.053 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550619428.053 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550619428.053 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619428.053 * [misc]taylor: Taking taylor expansion of k in n 1550619428.053 * [misc]backup-simplify: Simplify k into k 1550619428.053 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619428.053 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550619428.053 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619428.053 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550619428.054 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (sqrt (/ 1 k))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (sqrt (/ 1 k))) 1550619428.054 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (sqrt (/ 1 k))) in k 1550619428.054 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) in k 1550619428.054 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) in k 1550619428.054 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619428.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.054 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619428.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.054 * [misc]taylor: Taking taylor expansion of k in k 1550619428.054 * [misc]backup-simplify: Simplify 0 into 0 1550619428.054 * [misc]backup-simplify: Simplify 1 into 1 1550619428.054 * [misc]taylor: Taking taylor expansion of (+ (log PI) (log n)) in k 1550619428.054 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619428.054 * [misc]taylor: Taking taylor expansion of PI in k 1550619428.054 * [misc]backup-simplify: Simplify PI into PI 1550619428.054 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619428.054 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619428.054 * [misc]taylor: Taking taylor expansion of n in k 1550619428.054 * [misc]backup-simplify: Simplify n into n 1550619428.054 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619428.054 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619428.054 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.055 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619428.055 * [misc]backup-simplify: Simplify (+ (log PI) (log n)) into (+ (log PI) (log n)) 1550619428.055 * [misc]backup-simplify: Simplify (* 1/2 (+ (log PI) (log n))) into (* 1/2 (+ (log PI) (log n))) 1550619428.055 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log PI) (log n)))) into (exp (* 1/2 (+ (log PI) (log n)))) 1550619428.055 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619428.055 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619428.055 * [misc]taylor: Taking taylor expansion of k in k 1550619428.055 * [misc]backup-simplify: Simplify 0 into 0 1550619428.055 * [misc]backup-simplify: Simplify 1 into 1 1550619428.055 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619428.055 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619428.056 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619428.056 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) 0) into 0 1550619428.056 * [misc]backup-simplify: Simplify 0 into 0 1550619428.057 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619428.058 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619428.058 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1550619428.058 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.058 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.059 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619428.059 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log PI) (log n)))) into 0 1550619428.060 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619428.060 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1550619428.060 * [misc]taylor: Taking taylor expansion of 0 in k 1550619428.060 * [misc]backup-simplify: Simplify 0 into 0 1550619428.061 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619428.062 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550619428.062 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.062 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619428.062 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619428.062 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619428.062 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log PI) (log n)))) into (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1550619428.063 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) 1550619428.064 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log PI) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log PI) (log n)))))) 1550619428.064 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log PI) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log PI) (log n)))))) 1550619428.064 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619428.065 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1550619428.066 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550619428.068 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550619428.068 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550619428.068 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.068 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.069 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619428.069 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))) into 0 1550619428.070 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550619428.071 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1550619428.071 * [misc]taylor: Taking taylor expansion of 0 in k 1550619428.071 * [misc]backup-simplify: Simplify 0 into 0 1550619428.071 * [misc]backup-simplify: Simplify 0 into 0 1550619428.071 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550619428.071 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619428.074 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550619428.075 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550619428.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.075 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619428.075 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.076 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log PI) (log n))))) into 0 1550619428.077 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) 1550619428.078 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log PI) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n)))))))) 1550619428.079 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n)))))))) 1550619428.080 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619428.080 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1550619428.081 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550619428.085 * [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 1550619428.085 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1550619428.085 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.085 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.086 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550619428.086 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))) into 0 1550619428.088 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1550619428.089 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1550619428.089 * [misc]taylor: Taking taylor expansion of 0 in k 1550619428.089 * [misc]backup-simplify: Simplify 0 into 0 1550619428.089 * [misc]backup-simplify: Simplify 0 into 0 1550619428.089 * [misc]backup-simplify: Simplify 0 into 0 1550619428.089 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.089 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619428.093 * [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 1550619428.095 * [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 1550619428.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.095 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619428.095 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.096 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))) into 0 1550619428.098 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/48 (pow (log PI) 3)) (+ (* 1/16 (* (pow (log PI) 2) (log n))) (* 1/16 (* (log PI) (pow (log n) 2)))))) (exp (* 1/2 (+ (log PI) (log n)))))) 1550619428.102 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log PI) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/48 (pow (log PI) 3)) (+ (* 1/16 (* (pow (log PI) 2) (log n))) (* 1/16 (* (log PI) (pow (log n) 2)))))) (exp (* 1/2 (+ (log PI) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log PI) 2)))))))))))))) 1550619428.107 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log PI) 2)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log PI) 2)))))))))))))) 1550619428.114 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log PI) 2)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log PI) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (pow k 2))))))))))))))))))))))) 1550619428.115 * [misc]backup-simplify: Simplify (/ (pow (* PI (/ 1 n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt (/ 1 k))) into (* (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1550619428.115 * [misc]approximate: Taking taylor expansion of (* (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1550619428.115 * [misc]taylor: Taking taylor expansion of (* (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1550619428.115 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619428.115 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in k 1550619428.115 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in k 1550619428.115 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619428.115 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.115 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.115 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619428.115 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.115 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.115 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619428.115 * [misc]taylor: Taking taylor expansion of k in k 1550619428.115 * [misc]backup-simplify: Simplify 0 into 0 1550619428.115 * [misc]backup-simplify: Simplify 1 into 1 1550619428.115 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619428.115 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in k 1550619428.116 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619428.116 * [misc]taylor: Taking taylor expansion of PI in k 1550619428.116 * [misc]backup-simplify: Simplify PI into PI 1550619428.116 * [misc]taylor: Taking taylor expansion of n in k 1550619428.116 * [misc]backup-simplify: Simplify n into n 1550619428.116 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619428.116 * [misc]backup-simplify: Simplify (log (/ PI n)) into (log (/ PI n)) 1550619428.116 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619428.116 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619428.116 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619428.116 * [misc]backup-simplify: Simplify (* -1/2 (log (/ PI n))) into (* -1/2 (log (/ PI n))) 1550619428.117 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) into (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619428.117 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619428.117 * [misc]taylor: Taking taylor expansion of k in k 1550619428.117 * [misc]backup-simplify: Simplify 0 into 0 1550619428.117 * [misc]backup-simplify: Simplify 1 into 1 1550619428.117 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619428.117 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619428.117 * [misc]taylor: Taking taylor expansion of (* (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1550619428.117 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619428.117 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in n 1550619428.117 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in n 1550619428.118 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619428.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619428.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.118 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619428.118 * [misc]taylor: Taking taylor expansion of k in n 1550619428.118 * [misc]backup-simplify: Simplify k into k 1550619428.118 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619428.118 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550619428.118 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619428.118 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.118 * [misc]backup-simplify: Simplify PI into PI 1550619428.118 * [misc]taylor: Taking taylor expansion of n in n 1550619428.118 * [misc]backup-simplify: Simplify 0 into 0 1550619428.118 * [misc]backup-simplify: Simplify 1 into 1 1550619428.118 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619428.119 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619428.119 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619428.119 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619428.119 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619428.119 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619428.120 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619428.120 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619428.120 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550619428.120 * [misc]taylor: Taking taylor expansion of k in n 1550619428.120 * [misc]backup-simplify: Simplify k into k 1550619428.120 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550619428.120 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550619428.120 * [misc]taylor: Taking taylor expansion of (* (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1550619428.120 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619428.120 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n)))) in n 1550619428.120 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ PI n))) in n 1550619428.120 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619428.120 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.120 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619428.120 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619428.121 * [misc]taylor: Taking taylor expansion of k in n 1550619428.121 * [misc]backup-simplify: Simplify k into k 1550619428.121 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619428.121 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550619428.121 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619428.121 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.121 * [misc]backup-simplify: Simplify PI into PI 1550619428.121 * [misc]taylor: Taking taylor expansion of n in n 1550619428.121 * [misc]backup-simplify: Simplify 0 into 0 1550619428.121 * [misc]backup-simplify: Simplify 1 into 1 1550619428.121 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619428.121 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619428.121 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619428.121 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619428.122 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619428.122 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619428.122 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550619428.123 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619428.123 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550619428.123 * [misc]taylor: Taking taylor expansion of k in n 1550619428.123 * [misc]backup-simplify: Simplify k into k 1550619428.123 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550619428.123 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550619428.123 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) into (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1550619428.124 * [misc]taylor: Taking taylor expansion of (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1550619428.124 * [misc]taylor: Taking taylor expansion of (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619428.124 * [misc]taylor: Taking taylor expansion of (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619428.124 * [misc]taylor: Taking taylor expansion of (- (log PI) (log n)) in k 1550619428.124 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619428.124 * [misc]taylor: Taking taylor expansion of PI in k 1550619428.124 * [misc]backup-simplify: Simplify PI into PI 1550619428.124 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619428.124 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619428.124 * [misc]taylor: Taking taylor expansion of n in k 1550619428.124 * [misc]backup-simplify: Simplify n into n 1550619428.124 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619428.124 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619428.124 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.124 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619428.124 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619428.124 * [misc]taylor: Taking taylor expansion of k in k 1550619428.124 * [misc]backup-simplify: Simplify 0 into 0 1550619428.124 * [misc]backup-simplify: Simplify 1 into 1 1550619428.125 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619428.125 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619428.125 * [misc]backup-simplify: Simplify (+ (log PI) (- (log n))) into (- (log PI) (log n)) 1550619428.125 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619428.125 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619428.125 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619428.126 * [misc]backup-simplify: Simplify (* (- (log PI) (log n)) -1/2) into (* -1/2 (- (log PI) (log n))) 1550619428.126 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550619428.126 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619428.126 * [misc]taylor: Taking taylor expansion of k in k 1550619428.126 * [misc]backup-simplify: Simplify 0 into 0 1550619428.126 * [misc]backup-simplify: Simplify 1 into 1 1550619428.126 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619428.127 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619428.127 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1550619428.127 * [misc]backup-simplify: Simplify 0 into 0 1550619428.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619428.130 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619428.130 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619428.130 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619428.130 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.130 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619428.131 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log PI) (log n)))) into 0 1550619428.131 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619428.132 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (sqrt k))) into 0 1550619428.132 * [misc]taylor: Taking taylor expansion of 0 in k 1550619428.132 * [misc]backup-simplify: Simplify 0 into 0 1550619428.132 * [misc]backup-simplify: Simplify 0 into 0 1550619428.132 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619428.132 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619428.133 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1550619428.134 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.136 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550619428.136 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619428.137 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619428.137 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.137 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.137 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619428.138 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0 1550619428.139 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550619428.139 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1550619428.139 * [misc]taylor: Taking taylor expansion of 0 in k 1550619428.139 * [misc]backup-simplify: Simplify 0 into 0 1550619428.139 * [misc]backup-simplify: Simplify 0 into 0 1550619428.139 * [misc]backup-simplify: Simplify 0 into 0 1550619428.140 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619428.141 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619428.141 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619428.141 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1550619428.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.146 * [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 1550619428.146 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619428.147 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619428.147 * [misc]backup-simplify: Simplify (- 0) into 0 1550619428.147 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.147 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550619428.148 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0 1550619428.150 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1550619428.151 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1550619428.151 * [misc]taylor: Taking taylor expansion of 0 in k 1550619428.151 * [misc]backup-simplify: Simplify 0 into 0 1550619428.151 * [misc]backup-simplify: Simplify 0 into 0 1550619428.151 * [misc]backup-simplify: Simplify 0 into 0 1550619428.151 * [misc]backup-simplify: Simplify 0 into 0 1550619428.152 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619428.152 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619428.153 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619428.154 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (pow k 3)))))))) 1550619428.154 * [misc]backup-simplify: Simplify (/ (pow (* PI (/ 1 (- n))) (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt (/ 1 (- k)))) into (/ (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1550619428.154 * [misc]approximate: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1550619428.154 * [misc]taylor: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1550619428.154 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619428.154 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in k 1550619428.154 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in k 1550619428.154 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619428.154 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619428.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.154 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619428.154 * [misc]taylor: Taking taylor expansion of k in k 1550619428.154 * [misc]backup-simplify: Simplify 0 into 0 1550619428.154 * [misc]backup-simplify: Simplify 1 into 1 1550619428.154 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619428.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.154 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1550619428.154 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in k 1550619428.154 * [misc]taylor: Taking taylor expansion of -1 in k 1550619428.154 * [misc]backup-simplify: Simplify -1 into -1 1550619428.155 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550619428.155 * [misc]taylor: Taking taylor expansion of PI in k 1550619428.155 * [misc]backup-simplify: Simplify PI into PI 1550619428.155 * [misc]taylor: Taking taylor expansion of n in k 1550619428.155 * [misc]backup-simplify: Simplify n into n 1550619428.155 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550619428.155 * [misc]backup-simplify: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 1550619428.155 * [misc]backup-simplify: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 1550619428.155 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619428.155 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619428.155 * [misc]backup-simplify: Simplify (* 1/2 (log (* -1 (/ PI n)))) into (* 1/2 (log (* -1 (/ PI n)))) 1550619428.155 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) into (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619428.156 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619428.156 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619428.156 * [misc]taylor: Taking taylor expansion of -1 in k 1550619428.156 * [misc]backup-simplify: Simplify -1 into -1 1550619428.156 * [misc]taylor: Taking taylor expansion of k in k 1550619428.156 * [misc]backup-simplify: Simplify 0 into 0 1550619428.156 * [misc]backup-simplify: Simplify 1 into 1 1550619428.156 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619428.156 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619428.157 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619428.157 * [misc]backup-simplify: Simplify (/ (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619428.157 * [misc]taylor: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1550619428.157 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619428.157 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in n 1550619428.157 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in n 1550619428.157 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619428.157 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619428.157 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619428.157 * [misc]taylor: Taking taylor expansion of k in n 1550619428.157 * [misc]backup-simplify: Simplify k into k 1550619428.157 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619428.157 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.158 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550619428.158 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619428.158 * [misc]taylor: Taking taylor expansion of -1 in n 1550619428.158 * [misc]backup-simplify: Simplify -1 into -1 1550619428.158 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619428.158 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.158 * [misc]backup-simplify: Simplify PI into PI 1550619428.158 * [misc]taylor: Taking taylor expansion of n in n 1550619428.158 * [misc]backup-simplify: Simplify 0 into 0 1550619428.158 * [misc]backup-simplify: Simplify 1 into 1 1550619428.158 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619428.158 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619428.158 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619428.159 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619428.159 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619428.159 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619428.159 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550619428.161 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619428.161 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550619428.161 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550619428.161 * [misc]taylor: Taking taylor expansion of -1 in n 1550619428.161 * [misc]backup-simplify: Simplify -1 into -1 1550619428.161 * [misc]taylor: Taking taylor expansion of k in n 1550619428.161 * [misc]backup-simplify: Simplify k into k 1550619428.161 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550619428.161 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550619428.161 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550619428.161 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550619428.162 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) 1550619428.162 * [misc]taylor: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n))))) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -1 (/ PI n)))) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.162 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of k in n 1550619428.162 * [misc]backup-simplify: Simplify k into k 1550619428.162 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619428.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619428.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.162 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of -1 in n 1550619428.162 * [misc]backup-simplify: Simplify -1 into -1 1550619428.162 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550619428.162 * [misc]taylor: Taking taylor expansion of PI in n 1550619428.162 * [misc]backup-simplify: Simplify PI into PI 1550619428.162 * [misc]taylor: Taking taylor expansion of n in n 1550619428.162 * [misc]backup-simplify: Simplify 0 into 0 1550619428.162 * [misc]backup-simplify: Simplify 1 into 1 1550619428.162 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550619428.162 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619428.163 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619428.163 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619428.163 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619428.163 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619428.164 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550619428.164 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619428.164 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550619428.164 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550619428.164 * [misc]taylor: Taking taylor expansion of -1 in n 1550619428.164 * [misc]backup-simplify: Simplify -1 into -1 1550619428.164 * [misc]taylor: Taking taylor expansion of k in n 1550619428.164 * [misc]backup-simplify: Simplify k into k 1550619428.164 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550619428.164 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550619428.164 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550619428.164 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550619428.165 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) 1550619428.165 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) in k 1550619428.165 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) in k 1550619428.165 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) in k 1550619428.165 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619428.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619428.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619428.165 * [misc]taylor: Taking taylor expansion of k in k 1550619428.165 * [misc]backup-simplify: Simplify 0 into 0 1550619428.165 * [misc]backup-simplify: Simplify 1 into 1 1550619428.165 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619428.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619428.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619428.165 * [misc]taylor: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 1550619428.165 * [misc]taylor: Taking taylor expansion of (log (* -1 PI)) in k 1550619428.165 * [misc]taylor: Taking taylor expansion of (* -1 PI) in k 1550619428.165 * [misc]taylor: Taking taylor expansion of -1 in k 1550619428.165 * [misc]backup-simplify: Simplify -1 into -1 1550619428.165 * [misc]taylor: Taking taylor expansion of PI in k 1550619428.165 * [misc]backup-simplify: Simplify PI into PI 1550619428.166 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550619428.166 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550619428.166 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619428.166 * [misc]taylor: Taking taylor expansion of n in k 1550619428.166 * [misc]backup-simplify: Simplify n into n 1550619428.166 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619428.166 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619428.166 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619428.166 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619428.167 * [misc]backup-simplify: Simplify (+ (log (* -1 PI)) (- (log n))) into (- (log (* -1 PI)) (log n)) 1550619428.167 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -1 PI)) (log n))) into (* 1/2 (- (log (* -1 PI)) (log n))) 1550619428.167 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550619428.167 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619428.167 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619428.167 * [misc]taylor: Taking taylor expansion of -1 in k 1550619428.167 * [misc]backup-simplify: Simplify -1 into -1 1550619428.167 * [misc]taylor: Taking taylor expansion of k in k 1550619428.167 * [misc]backup-simplify: Simplify 0 into 0 1550619428.167 * [misc]backup-simplify: Simplify 1 into 1 1550619428.167 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619428.168 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619428.168 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619428.168 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) 1550619428.169 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) 1550619428.170 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550619428.171 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 1550619428.173 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 PI) 1)))) 1) into 0 1550619428.173 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619428.174 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619428.174 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.174 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619428.175 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -1 PI)) (log n)))) into 0 1550619428.177 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619428.178 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1550619428.178 * [misc]taylor: Taking taylor expansion of 0 in k 1550619428.178 * [misc]backup-simplify: Simplify 0 into 0 1550619428.178 * [misc]backup-simplify: Simplify 0 into 0 1550619428.178 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550619428.179 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619428.180 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550619428.181 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550619428.182 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.183 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1550619428.188 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 PI) 1)))) 2) into 0 1550619428.188 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619428.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619428.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619428.190 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550619428.190 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -1 PI)) (log n))))) into 0 1550619428.192 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550619428.193 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619428.193 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1550619428.194 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1550619428.194 * [misc]taylor: Taking taylor expansion of 0 in k 1550619428.194 * [misc]backup-simplify: Simplify 0 into 0 1550619428.195 * [misc]backup-simplify: Simplify 0 into 0 1550619428.195 * [misc]backup-simplify: Simplify 0 into 0 1550619428.195 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619428.196 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619428.198 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550619428.199 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550619428.201 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))))))))) 1550619428.202 * * * [misc]progress: simplifying candidates 1550619428.202 * * * * [misc]progress: [ 1 / 131 ] simplifiying candidate # 1550619428.202 * [enter]simplify: Simplifying (* (log (* PI n)) (- 1/2 (* 1/2 k))) 1550619428.202 * * [misc]simplify: iters left: 6 (9 enodes) 1550619428.207 * * [misc]simplify: iters left: 5 (35 enodes) 1550619428.217 * * [misc]simplify: iters left: 4 (62 enodes) 1550619428.235 * * [misc]simplify: iters left: 3 (123 enodes) 1550619428.263 * * [misc]simplify: iters left: 2 (314 enodes) 1550619428.419 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.420 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1550619428.420 * * [misc]simplify: Extracting #2: cost 120 inf + 1 1550619428.421 * * [misc]simplify: Extracting #3: cost 139 inf + 128 1550619428.423 * * [misc]simplify: Extracting #4: cost 125 inf + 1256 1550619428.430 * * [misc]simplify: Extracting #5: cost 32 inf + 19458 1550619428.444 * * [misc]simplify: Extracting #6: cost 1 inf + 27935 1550619428.457 * * [misc]simplify: Extracting #7: cost 0 inf + 28201 1550619428.470 * * [misc]simplify: Extracting #8: cost 0 inf + 28162 1550619428.482 * [exit]simplify: Simplified to (* (log (* PI n)) (- 1/2 (* 1/2 k))) 1550619428.482 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (exp (* (log (* PI n)) (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619428.482 * * * * [misc]progress: [ 2 / 131 ] simplifiying candidate # 1550619428.482 * * * * [misc]progress: [ 3 / 131 ] simplifiying candidate # 1550619428.483 * [enter]simplify: Simplifying (* PI n) 1550619428.483 * * [misc]simplify: iters left: 2 (3 enodes) 1550619428.484 * * [misc]simplify: iters left: 1 (10 enodes) 1550619428.487 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.487 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619428.487 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619428.487 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550619428.487 * [exit]simplify: Simplified to (* PI n) 1550619428.487 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) (* 1 (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619428.487 * * * * [misc]progress: [ 4 / 131 ] simplifiying candidate # 1550619428.487 * [enter]simplify: Simplifying (pow (* PI n) (* 1/2 k)) 1550619428.487 * * [misc]simplify: iters left: 3 (7 enodes) 1550619428.491 * * [misc]simplify: iters left: 2 (23 enodes) 1550619428.497 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.497 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619428.497 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619428.497 * * [misc]simplify: Extracting #3: cost 6 inf + 4 1550619428.497 * * [misc]simplify: Extracting #4: cost 1 inf + 466 1550619428.497 * * [misc]simplify: Extracting #5: cost 0 inf + 760 1550619428.498 * [exit]simplify: Simplified to (pow (* PI n) (* 1/2 k)) 1550619428.498 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow (* PI n) 1/2) (pow (* PI n) (* 1/2 k))) (sqrt k)))) 1550619428.498 * * * * [misc]progress: [ 5 / 131 ] simplifiying candidate # 1550619428.498 * [enter]simplify: Simplifying (cbrt (- 1/2 (* 1/2 k))) 1550619428.498 * * [misc]simplify: iters left: 5 (5 enodes) 1550619428.501 * * [misc]simplify: iters left: 4 (18 enodes) 1550619428.507 * * [misc]simplify: iters left: 3 (28 enodes) 1550619428.518 * * [misc]simplify: iters left: 2 (35 enodes) 1550619428.524 * * [misc]simplify: iters left: 1 (43 enodes) 1550619428.532 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.532 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619428.532 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619428.532 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619428.532 * * [misc]simplify: Extracting #4: cost 9 inf + 129 1550619428.532 * * [misc]simplify: Extracting #5: cost 2 inf + 502 1550619428.532 * * [misc]simplify: Extracting #6: cost 0 inf + 826 1550619428.532 * [exit]simplify: Simplified to (cbrt (- 1/2 (* 1/2 k))) 1550619428.532 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow (* PI n) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619428.533 * * * * [misc]progress: [ 6 / 131 ] simplifiying candidate # 1550619428.533 * [enter]simplify: Simplifying (sqrt (- 1/2 (* 1/2 k))) 1550619428.533 * * [misc]simplify: iters left: 5 (5 enodes) 1550619428.534 * * [misc]simplify: iters left: 4 (18 enodes) 1550619428.537 * * [misc]simplify: iters left: 3 (28 enodes) 1550619428.542 * * [misc]simplify: iters left: 2 (35 enodes) 1550619428.547 * * [misc]simplify: iters left: 1 (43 enodes) 1550619428.555 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.555 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619428.555 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619428.555 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619428.555 * * [misc]simplify: Extracting #4: cost 9 inf + 129 1550619428.556 * * [misc]simplify: Extracting #5: cost 2 inf + 502 1550619428.556 * * [misc]simplify: Extracting #6: cost 0 inf + 746 1550619428.556 * [exit]simplify: Simplified to (sqrt (- 1/2 (* 1/2 k))) 1550619428.556 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow (* PI n) (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619428.556 * * * * [misc]progress: [ 7 / 131 ] simplifiying candidate # 1550619428.556 * [enter]simplify: Simplifying (- 1/2 (* 1/2 k)) 1550619428.556 * * [misc]simplify: iters left: 4 (4 enodes) 1550619428.558 * * [misc]simplify: iters left: 3 (15 enodes) 1550619428.560 * * [misc]simplify: iters left: 2 (25 enodes) 1550619428.564 * * [misc]simplify: iters left: 1 (32 enodes) 1550619428.569 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.569 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619428.569 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619428.569 * * [misc]simplify: Extracting #3: cost 9 inf + 45 1550619428.569 * * [misc]simplify: Extracting #4: cost 2 inf + 418 1550619428.570 * * [misc]simplify: Extracting #5: cost 0 inf + 582 1550619428.570 * [exit]simplify: Simplified to (- 1/2 (* 1/2 k)) 1550619428.570 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow (* PI n) 1) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619428.570 * * * * [misc]progress: [ 8 / 131 ] simplifiying candidate # 1550619428.571 * [enter]simplify: Simplifying (pow (* PI n) (- (* 1/2 k))) 1550619428.571 * * [misc]simplify: iters left: 5 (8 enodes) 1550619428.575 * * [misc]simplify: iters left: 4 (31 enodes) 1550619428.585 * * [misc]simplify: iters left: 3 (37 enodes) 1550619428.594 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.594 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619428.594 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619428.594 * * [misc]simplify: Extracting #3: cost 8 inf + 88 1550619428.595 * * [misc]simplify: Extracting #4: cost 0 inf + 927 1550619428.595 * [exit]simplify: Simplified to (pow (* PI n) (* -1/2 k)) 1550619428.595 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow (* PI n) 1/2) (pow (* PI n) (* -1/2 k))) (sqrt k)))) 1550619428.595 * * * * [misc]progress: [ 9 / 131 ] simplifiying candidate # 1550619428.595 * [enter]simplify: Simplifying (pow (* PI n) (- (* 1/2 k))) 1550619428.596 * * [misc]simplify: iters left: 5 (8 enodes) 1550619428.600 * * [misc]simplify: iters left: 4 (31 enodes) 1550619428.607 * * [misc]simplify: iters left: 3 (37 enodes) 1550619428.612 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.612 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619428.612 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619428.613 * * [misc]simplify: Extracting #3: cost 8 inf + 88 1550619428.613 * * [misc]simplify: Extracting #4: cost 0 inf + 927 1550619428.613 * [exit]simplify: Simplified to (pow (* PI n) (* -1/2 k)) 1550619428.613 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow (* PI n) 1/2) (pow (* PI n) (* -1/2 k))) (sqrt k)))) 1550619428.613 * * * * [misc]progress: [ 10 / 131 ] simplifiying candidate # 1550619428.613 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1550619428.613 * * [misc]simplify: iters left: 5 (6 enodes) 1550619428.615 * * [misc]simplify: iters left: 4 (21 enodes) 1550619428.620 * * [misc]simplify: iters left: 3 (31 enodes) 1550619428.625 * * [misc]simplify: iters left: 2 (38 enodes) 1550619428.631 * * [misc]simplify: iters left: 1 (46 enodes) 1550619428.640 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.640 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619428.641 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619428.641 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619428.641 * * [misc]simplify: Extracting #4: cost 7 inf + 294 1550619428.641 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1550619428.642 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619428.642 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1550619428.642 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619428.642 * * * * [misc]progress: [ 11 / 131 ] simplifiying candidate # 1550619428.642 * * * * [misc]progress: [ 12 / 131 ] simplifiying candidate # 1550619428.642 * * * * [misc]progress: [ 13 / 131 ] simplifiying candidate # 1550619428.643 * * * * [misc]progress: [ 14 / 131 ] simplifiying candidate # 1550619428.643 * * * * [misc]progress: [ 15 / 131 ] simplifiying candidate # 1550619428.643 * * * * [misc]progress: [ 16 / 131 ] simplifiying candidate # 1550619428.643 * * * * [misc]progress: [ 17 / 131 ] simplifiying candidate # 1550619428.643 * * * * [misc]progress: [ 18 / 131 ] simplifiying candidate #real (real->posit16 (pow (* PI n) (- 1/2 (* 1/2 k))))) (sqrt k))))> 1550619428.643 * * * * [misc]progress: [ 19 / 131 ] simplifiying candidate # 1550619428.643 * * * * [misc]progress: [ 20 / 131 ] simplifiying candidate # 1550619428.643 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))) 1550619428.643 * * [misc]simplify: iters left: 6 (16 enodes) 1550619428.651 * * [misc]simplify: iters left: 5 (62 enodes) 1550619428.662 * * [misc]simplify: iters left: 4 (108 enodes) 1550619428.683 * * [misc]simplify: iters left: 3 (280 enodes) 1550619428.853 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619428.854 * * [misc]simplify: Extracting #1: cost 50 inf + 0 1550619428.855 * * [misc]simplify: Extracting #2: cost 244 inf + 0 1550619428.857 * * [misc]simplify: Extracting #3: cost 277 inf + 624 1550619428.860 * * [misc]simplify: Extracting #4: cost 237 inf + 5728 1550619428.876 * * [misc]simplify: Extracting #5: cost 95 inf + 51549 1550619428.907 * * [misc]simplify: Extracting #6: cost 2 inf + 86805 1550619428.938 * * [misc]simplify: Extracting #7: cost 0 inf + 85717 1550619428.969 * * [misc]simplify: Extracting #8: cost 0 inf + 85637 1550619429.003 * [exit]simplify: Simplified to (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log (* PI n)))) (log (sqrt k))) 1550619429.003 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log (* PI n)))) (log (sqrt k))))) 1550619429.003 * * * * [misc]progress: [ 21 / 131 ] simplifiying candidate # 1550619429.004 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))) 1550619429.004 * * [misc]simplify: iters left: 6 (16 enodes) 1550619429.012 * * [misc]simplify: iters left: 5 (62 enodes) 1550619429.031 * * [misc]simplify: iters left: 4 (108 enodes) 1550619429.066 * * [misc]simplify: iters left: 3 (280 enodes) 1550619429.178 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619429.178 * * [misc]simplify: Extracting #1: cost 50 inf + 0 1550619429.179 * * [misc]simplify: Extracting #2: cost 244 inf + 0 1550619429.180 * * [misc]simplify: Extracting #3: cost 277 inf + 624 1550619429.183 * * [misc]simplify: Extracting #4: cost 237 inf + 5728 1550619429.191 * * [misc]simplify: Extracting #5: cost 95 inf + 51549 1550619429.214 * * [misc]simplify: Extracting #6: cost 2 inf + 86805 1550619429.231 * * [misc]simplify: Extracting #7: cost 0 inf + 85717 1550619429.248 * * [misc]simplify: Extracting #8: cost 0 inf + 85637 1550619429.277 * [exit]simplify: Simplified to (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log (* PI n)))) (log (sqrt k))) 1550619429.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log (* PI n)))) (log (sqrt k))))) 1550619429.277 * * * * [misc]progress: [ 22 / 131 ] simplifiying candidate # 1550619429.277 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow (* PI n) (- 1/2 (* 1/2 k)))) (log (sqrt k)))) 1550619429.277 * * [misc]simplify: iters left: 6 (16 enodes) 1550619429.282 * * [misc]simplify: iters left: 5 (60 enodes) 1550619429.292 * * [misc]simplify: iters left: 4 (96 enodes) 1550619429.312 * * [misc]simplify: iters left: 3 (186 enodes) 1550619429.373 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619429.373 * * [misc]simplify: Extracting #1: cost 34 inf + 0 1550619429.374 * * [misc]simplify: Extracting #2: cost 159 inf + 0 1550619429.375 * * [misc]simplify: Extracting #3: cost 174 inf + 332 1550619429.378 * * [misc]simplify: Extracting #4: cost 141 inf + 4982 1550619429.387 * * [misc]simplify: Extracting #5: cost 57 inf + 29369 1550619429.406 * * [misc]simplify: Extracting #6: cost 1 inf + 47708 1550619429.423 * * [misc]simplify: Extracting #7: cost 0 inf + 46564 1550619429.439 * * [misc]simplify: Extracting #8: cost 0 inf + 46454 1550619429.451 * [exit]simplify: Simplified to (- (* (+ (log 2) (log (* PI n))) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619429.451 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (log (* PI n))) (- 1/2 (* 1/2 k))) (log (sqrt k))))) 1550619429.451 * * * * [misc]progress: [ 23 / 131 ] simplifiying candidate # 1550619429.451 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619429.451 * * [misc]simplify: iters left: 6 (15 enodes) 1550619429.455 * * [misc]simplify: iters left: 5 (54 enodes) 1550619429.464 * * [misc]simplify: iters left: 4 (82 enodes) 1550619429.486 * * [misc]simplify: iters left: 3 (149 enodes) 1550619429.534 * * [misc]simplify: iters left: 2 (313 enodes) 1550619429.702 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619429.702 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1550619429.703 * * [misc]simplify: Extracting #2: cost 190 inf + 0 1550619429.704 * * [misc]simplify: Extracting #3: cost 217 inf + 524 1550619429.705 * * [misc]simplify: Extracting #4: cost 186 inf + 4858 1550619429.709 * * [misc]simplify: Extracting #5: cost 110 inf + 22144 1550619429.718 * * [misc]simplify: Extracting #6: cost 26 inf + 51397 1550619429.735 * * [misc]simplify: Extracting #7: cost 0 inf + 60979 1550619429.756 * * [misc]simplify: Extracting #8: cost 0 inf + 60549 1550619429.782 * [exit]simplify: Simplified to (- (* (+ (log 2) (log (* PI n))) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619429.782 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (log (* PI n))) (- 1/2 (* 1/2 k))) (log (sqrt k))))) 1550619429.783 * * * * [misc]progress: [ 24 / 131 ] simplifiying candidate # 1550619429.783 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))) 1550619429.783 * * [misc]simplify: iters left: 6 (16 enodes) 1550619429.790 * * [misc]simplify: iters left: 5 (63 enodes) 1550619429.808 * * [misc]simplify: iters left: 4 (106 enodes) 1550619429.842 * * [misc]simplify: iters left: 3 (243 enodes) 1550619429.971 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619429.971 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1550619429.972 * * [misc]simplify: Extracting #2: cost 231 inf + 0 1550619429.976 * * [misc]simplify: Extracting #3: cost 250 inf + 595 1550619429.977 * * [misc]simplify: Extracting #4: cost 225 inf + 4271 1550619429.983 * * [misc]simplify: Extracting #5: cost 104 inf + 39026 1550619429.997 * * [misc]simplify: Extracting #6: cost 9 inf + 73081 1550619430.025 * * [misc]simplify: Extracting #7: cost 0 inf + 77075 1550619430.054 * [exit]simplify: Simplified to (- (* (+ (log 2) (log (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k))) 1550619430.054 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (log (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k))))) 1550619430.054 * * * * [misc]progress: [ 25 / 131 ] simplifiying candidate # 1550619430.054 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))) 1550619430.054 * * [misc]simplify: iters left: 6 (16 enodes) 1550619430.062 * * [misc]simplify: iters left: 5 (63 enodes) 1550619430.079 * * [misc]simplify: iters left: 4 (106 enodes) 1550619430.117 * * [misc]simplify: iters left: 3 (243 enodes) 1550619430.217 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619430.217 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1550619430.218 * * [misc]simplify: Extracting #2: cost 231 inf + 0 1550619430.219 * * [misc]simplify: Extracting #3: cost 250 inf + 595 1550619430.220 * * [misc]simplify: Extracting #4: cost 225 inf + 4271 1550619430.226 * * [misc]simplify: Extracting #5: cost 104 inf + 39026 1550619430.244 * * [misc]simplify: Extracting #6: cost 9 inf + 73081 1550619430.265 * * [misc]simplify: Extracting #7: cost 0 inf + 77075 1550619430.281 * [exit]simplify: Simplified to (- (* (+ (log 2) (log (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k))) 1550619430.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (log (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k))))) 1550619430.281 * * * * [misc]progress: [ 26 / 131 ] simplifiying candidate # 1550619430.281 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (log (pow (* PI n) (- 1/2 (* 1/2 k)))) (log (sqrt k)))) 1550619430.282 * * [misc]simplify: iters left: 6 (16 enodes) 1550619430.290 * * [misc]simplify: iters left: 5 (61 enodes) 1550619430.309 * * [misc]simplify: iters left: 4 (94 enodes) 1550619430.326 * * [misc]simplify: iters left: 3 (148 enodes) 1550619430.376 * * [misc]simplify: iters left: 2 (461 enodes) 1550619430.685 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619430.685 * * [misc]simplify: Extracting #1: cost 117 inf + 0 1550619430.688 * * [misc]simplify: Extracting #2: cost 495 inf + 0 1550619430.692 * * [misc]simplify: Extracting #3: cost 528 inf + 756 1550619430.701 * * [misc]simplify: Extracting #4: cost 430 inf + 32654 1550619430.717 * * [misc]simplify: Extracting #5: cost 203 inf + 101684 1550619430.769 * * [misc]simplify: Extracting #6: cost 14 inf + 175380 1550619430.811 * * [misc]simplify: Extracting #7: cost 0 inf + 182346 1550619430.862 * * [misc]simplify: Extracting #8: cost 0 inf + 182229 1550619430.931 * [exit]simplify: Simplified to (- (* (- 1/2 (* k 1/2)) (+ (log (* PI n)) (log 2))) (log (sqrt k))) 1550619430.931 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* k 1/2)) (+ (log (* PI n)) (log 2))) (log (sqrt k))))) 1550619430.932 * * * * [misc]progress: [ 27 / 131 ] simplifiying candidate # 1550619430.932 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (log (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619430.932 * * [misc]simplify: iters left: 6 (15 enodes) 1550619430.940 * * [misc]simplify: iters left: 5 (55 enodes) 1550619430.956 * * [misc]simplify: iters left: 4 (80 enodes) 1550619430.981 * * [misc]simplify: iters left: 3 (119 enodes) 1550619431.023 * * [misc]simplify: iters left: 2 (268 enodes) 1550619431.135 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619431.136 * * [misc]simplify: Extracting #1: cost 44 inf + 0 1550619431.137 * * [misc]simplify: Extracting #2: cost 211 inf + 0 1550619431.138 * * [misc]simplify: Extracting #3: cost 240 inf + 432 1550619431.141 * * [misc]simplify: Extracting #4: cost 214 inf + 4714 1550619431.146 * * [misc]simplify: Extracting #5: cost 85 inf + 38986 1550619431.160 * * [misc]simplify: Extracting #6: cost 2 inf + 67539 1550619431.174 * * [misc]simplify: Extracting #7: cost 0 inf + 65201 1550619431.197 * * [misc]simplify: Extracting #8: cost 0 inf + 65001 1550619431.222 * [exit]simplify: Simplified to (- (* (- 1/2 (* k 1/2)) (+ (log 2) (log (* PI n)))) (log (sqrt k))) 1550619431.222 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* k 1/2)) (+ (log 2) (log (* PI n)))) (log (sqrt k))))) 1550619431.223 * * * * [misc]progress: [ 28 / 131 ] simplifiying candidate # 1550619431.223 * * * * [misc]progress: [ 29 / 131 ] simplifiying candidate # 1550619431.223 * * * * [misc]progress: [ 30 / 131 ] simplifiying candidate # 1550619431.223 * [enter]simplify: Simplifying (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (/ (* (* (pow (* PI n) (- 1/2 (* 1/2 k))) (pow (* PI n) (- 1/2 (* 1/2 k)))) (pow (* PI n) (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1550619431.223 * * [misc]simplify: iters left: 6 (19 enodes) 1550619431.229 * * [misc]simplify: iters left: 5 (74 enodes) 1550619431.242 * * [misc]simplify: iters left: 4 (174 enodes) 1550619431.325 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619431.326 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1550619431.326 * * [misc]simplify: Extracting #2: cost 155 inf + 123 1550619431.327 * * [misc]simplify: Extracting #3: cost 163 inf + 247 1550619431.329 * * [misc]simplify: Extracting #4: cost 156 inf + 2825 1550619431.341 * * [misc]simplify: Extracting #5: cost 60 inf + 53571 1550619431.367 * * [misc]simplify: Extracting #6: cost 3 inf + 90446 1550619431.391 * * [misc]simplify: Extracting #7: cost 0 inf + 92681 1550619431.405 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2))))) (* k (sqrt k))) (* (pow (* n PI) (- 1/2 (* k 1/2))) (* (pow (* n PI) (- 1/2 (* k 1/2))) (pow (* n PI) (- 1/2 (* k 1/2)))))) 1550619431.406 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2))))) (* k (sqrt k))) (* (pow (* n PI) (- 1/2 (* k 1/2))) (* (pow (* n PI) (- 1/2 (* k 1/2))) (pow (* n PI) (- 1/2 (* k 1/2)))))))) 1550619431.406 * * * * [misc]progress: [ 31 / 131 ] simplifiying candidate # 1550619431.406 * [enter]simplify: Simplifying (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (* (* (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619431.406 * * [misc]simplify: iters left: 6 (17 enodes) 1550619431.413 * * [misc]simplify: iters left: 5 (68 enodes) 1550619431.434 * * [misc]simplify: iters left: 4 (139 enodes) 1550619431.462 * * [misc]simplify: iters left: 3 (321 enodes) 1550619431.605 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619431.605 * * [misc]simplify: Extracting #1: cost 48 inf + 0 1550619431.606 * * [misc]simplify: Extracting #2: cost 134 inf + 123 1550619431.607 * * [misc]simplify: Extracting #3: cost 152 inf + 247 1550619431.609 * * [misc]simplify: Extracting #4: cost 149 inf + 1826 1550619431.620 * * [misc]simplify: Extracting #5: cost 57 inf + 53955 1550619431.652 * * [misc]simplify: Extracting #6: cost 4 inf + 85728 1550619431.683 * * [misc]simplify: Extracting #7: cost 0 inf + 88628 1550619431.717 * [exit]simplify: Simplified to (* (* (/ (pow (* n PI) (- 1/2 (* k 1/2))) (/ k (pow (* n PI) (- 1/2 (* k 1/2))))) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))))) (/ (pow (* n PI) (- 1/2 (* k 1/2))) (sqrt k))) 1550619431.717 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* n PI) (- 1/2 (* k 1/2))) (/ k (pow (* n PI) (- 1/2 (* k 1/2))))) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))))) (/ (pow (* n PI) (- 1/2 (* k 1/2))) (sqrt k))))) 1550619431.717 * * * * [misc]progress: [ 32 / 131 ] simplifiying candidate # 1550619431.717 * * * * [misc]progress: [ 33 / 131 ] simplifiying candidate # 1550619431.717 * * * * [misc]progress: [ 34 / 131 ] simplifiying candidate # 1550619431.717 * * * * [misc]progress: [ 35 / 131 ] simplifiying candidate # 1550619431.718 * [enter]simplify: Simplifying (* (pow 2 1/2) (pow (* PI n) (- 1/2 (* 1/2 k)))) 1550619431.718 * * [misc]simplify: iters left: 6 (11 enodes) 1550619431.724 * * [misc]simplify: iters left: 5 (39 enodes) 1550619431.735 * * [misc]simplify: iters left: 4 (49 enodes) 1550619431.751 * * [misc]simplify: iters left: 3 (56 enodes) 1550619431.766 * * [misc]simplify: iters left: 2 (64 enodes) 1550619431.785 * * [misc]simplify: iters left: 1 (73 enodes) 1550619431.804 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619431.804 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619431.804 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619431.805 * * [misc]simplify: Extracting #3: cost 13 inf + 84 1550619431.805 * * [misc]simplify: Extracting #4: cost 16 inf + 170 1550619431.805 * * [misc]simplify: Extracting #5: cost 6 inf + 880 1550619431.806 * * [misc]simplify: Extracting #6: cost 0 inf + 2169 1550619431.806 * [exit]simplify: Simplified to (* (sqrt 2) (pow (* PI n) (- 1/2 (* k 1/2)))) 1550619431.807 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt 2) (pow (* PI n) (- 1/2 (* k 1/2)))) (* (pow 2 (* 1/2 k)) (sqrt k)))) 1550619431.807 * [enter]simplify: Simplifying (* (pow 2 (* 1/2 k)) (sqrt k)) 1550619431.807 * * [misc]simplify: iters left: 5 (7 enodes) 1550619431.811 * * [misc]simplify: iters left: 4 (23 enodes) 1550619431.817 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619431.818 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619431.818 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619431.818 * * [misc]simplify: Extracting #3: cost 7 inf + 84 1550619431.818 * * [misc]simplify: Extracting #4: cost 6 inf + 85 1550619431.818 * * [misc]simplify: Extracting #5: cost 1 inf + 1008 1550619431.818 * * [misc]simplify: Extracting #6: cost 0 inf + 1341 1550619431.819 * [exit]simplify: Simplified to (* (pow 2 (* k 1/2)) (sqrt k)) 1550619431.819 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt 2) (pow (* PI n) (- 1/2 (* k 1/2)))) (* (pow 2 (* k 1/2)) (sqrt k)))) 1550619431.819 * * * * [misc]progress: [ 36 / 131 ] simplifiying candidate # 1550619431.819 * * * * [misc]progress: [ 37 / 131 ] simplifiying candidate # 1550619431.819 * [enter]simplify: Simplifying (cbrt (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619431.819 * * [misc]simplify: iters left: 6 (11 enodes) 1550619431.824 * * [misc]simplify: iters left: 5 (37 enodes) 1550619431.835 * * [misc]simplify: iters left: 4 (47 enodes) 1550619431.848 * * [misc]simplify: iters left: 3 (54 enodes) 1550619431.862 * * [misc]simplify: iters left: 2 (62 enodes) 1550619431.880 * * [misc]simplify: iters left: 1 (71 enodes) 1550619431.899 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619431.899 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619431.899 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619431.899 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1550619431.899 * * [misc]simplify: Extracting #4: cost 17 inf + 42 1550619431.899 * * [misc]simplify: Extracting #5: cost 17 inf + 210 1550619431.900 * * [misc]simplify: Extracting #6: cost 6 inf + 1707 1550619431.900 * * [misc]simplify: Extracting #7: cost 0 inf + 3154 1550619431.901 * [exit]simplify: Simplified to (cbrt (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619431.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (* (cbrt (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))) (cbrt (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))) (cbrt (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))) 1550619431.901 * * * * [misc]progress: [ 38 / 131 ] simplifiying candidate # 1550619431.902 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619431.902 * * [misc]simplify: iters left: 6 (11 enodes) 1550619431.906 * * [misc]simplify: iters left: 5 (37 enodes) 1550619431.916 * * [misc]simplify: iters left: 4 (47 enodes) 1550619431.929 * * [misc]simplify: iters left: 3 (54 enodes) 1550619431.944 * * [misc]simplify: iters left: 2 (62 enodes) 1550619431.960 * * [misc]simplify: iters left: 1 (71 enodes) 1550619431.975 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619431.975 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619431.975 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619431.975 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1550619431.975 * * [misc]simplify: Extracting #4: cost 17 inf + 42 1550619431.975 * * [misc]simplify: Extracting #5: cost 17 inf + 210 1550619431.976 * * [misc]simplify: Extracting #6: cost 6 inf + 1707 1550619431.976 * * [misc]simplify: Extracting #7: cost 0 inf + 3074 1550619431.977 * [exit]simplify: Simplified to (sqrt (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619431.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (sqrt (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)))) (sqrt (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))) 1550619431.977 * * * * [misc]progress: [ 39 / 131 ] simplifiying candidate # 1550619431.977 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (cbrt (sqrt k))) 1550619431.977 * * [misc]simplify: iters left: 6 (11 enodes) 1550619431.980 * * [misc]simplify: iters left: 5 (40 enodes) 1550619431.986 * * [misc]simplify: iters left: 4 (46 enodes) 1550619431.992 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619431.992 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619431.992 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619431.992 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619431.992 * * [misc]simplify: Extracting #4: cost 11 inf + 291 1550619431.992 * * [misc]simplify: Extracting #5: cost 4 inf + 915 1550619431.992 * * [misc]simplify: Extracting #6: cost 0 inf + 2159 1550619431.993 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (cbrt (sqrt k))) 1550619431.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* PI n) (* k -1/2)) (cbrt (sqrt k))))) 1550619431.993 * * * * [misc]progress: [ 40 / 131 ] simplifiying candidate # 1550619431.993 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (sqrt (sqrt k))) 1550619431.993 * * [misc]simplify: iters left: 6 (11 enodes) 1550619431.996 * * [misc]simplify: iters left: 5 (40 enodes) 1550619432.001 * * [misc]simplify: iters left: 4 (46 enodes) 1550619432.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.007 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.007 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.007 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619432.007 * * [misc]simplify: Extracting #4: cost 11 inf + 251 1550619432.008 * * [misc]simplify: Extracting #5: cost 4 inf + 835 1550619432.008 * * [misc]simplify: Extracting #6: cost 0 inf + 1999 1550619432.008 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (sqrt (sqrt k))) 1550619432.008 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) 1/2) (sqrt (sqrt k)))) (/ (pow (* PI n) (* k -1/2)) (sqrt (sqrt k))))) 1550619432.008 * * * * [misc]progress: [ 41 / 131 ] simplifiying candidate # 1550619432.008 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (sqrt k)) 1550619432.009 * * [misc]simplify: iters left: 6 (10 enodes) 1550619432.013 * * [misc]simplify: iters left: 5 (37 enodes) 1550619432.018 * * [misc]simplify: iters left: 4 (43 enodes) 1550619432.024 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.024 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.024 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.024 * * [misc]simplify: Extracting #3: cost 14 inf + 83 1550619432.024 * * [misc]simplify: Extracting #4: cost 10 inf + 170 1550619432.024 * * [misc]simplify: Extracting #5: cost 0 inf + 1757 1550619432.024 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (sqrt k)) 1550619432.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) 1/2) 1)) (/ (pow (* PI n) (* k -1/2)) (sqrt k)))) 1550619432.024 * * * * [misc]progress: [ 42 / 131 ] simplifiying candidate # 1550619432.025 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (cbrt (sqrt k))) 1550619432.025 * * [misc]simplify: iters left: 6 (11 enodes) 1550619432.028 * * [misc]simplify: iters left: 5 (40 enodes) 1550619432.034 * * [misc]simplify: iters left: 4 (46 enodes) 1550619432.040 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.040 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.040 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.040 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619432.040 * * [misc]simplify: Extracting #4: cost 11 inf + 291 1550619432.040 * * [misc]simplify: Extracting #5: cost 4 inf + 915 1550619432.040 * * [misc]simplify: Extracting #6: cost 0 inf + 2159 1550619432.040 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (cbrt (sqrt k))) 1550619432.041 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* PI n) (* k -1/2)) (cbrt (sqrt k))))) 1550619432.041 * * * * [misc]progress: [ 43 / 131 ] simplifiying candidate # 1550619432.041 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (sqrt (sqrt k))) 1550619432.041 * * [misc]simplify: iters left: 6 (11 enodes) 1550619432.044 * * [misc]simplify: iters left: 5 (40 enodes) 1550619432.049 * * [misc]simplify: iters left: 4 (46 enodes) 1550619432.055 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.056 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.056 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.056 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619432.056 * * [misc]simplify: Extracting #4: cost 11 inf + 251 1550619432.056 * * [misc]simplify: Extracting #5: cost 4 inf + 835 1550619432.056 * * [misc]simplify: Extracting #6: cost 0 inf + 1999 1550619432.056 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (sqrt (sqrt k))) 1550619432.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) 1/2) (sqrt (sqrt k)))) (/ (pow (* PI n) (* k -1/2)) (sqrt (sqrt k))))) 1550619432.057 * * * * [misc]progress: [ 44 / 131 ] simplifiying candidate # 1550619432.057 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (sqrt k)) 1550619432.057 * * [misc]simplify: iters left: 6 (10 enodes) 1550619432.059 * * [misc]simplify: iters left: 5 (37 enodes) 1550619432.065 * * [misc]simplify: iters left: 4 (43 enodes) 1550619432.070 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.071 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.071 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.071 * * [misc]simplify: Extracting #3: cost 14 inf + 83 1550619432.071 * * [misc]simplify: Extracting #4: cost 10 inf + 170 1550619432.071 * * [misc]simplify: Extracting #5: cost 0 inf + 1757 1550619432.071 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (sqrt k)) 1550619432.071 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) 1/2) 1)) (/ (pow (* PI n) (* k -1/2)) (sqrt k)))) 1550619432.071 * * * * [misc]progress: [ 45 / 131 ] simplifiying candidate # 1550619432.071 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619432.072 * * [misc]simplify: iters left: 6 (9 enodes) 1550619432.074 * * [misc]simplify: iters left: 5 (30 enodes) 1550619432.078 * * [misc]simplify: iters left: 4 (40 enodes) 1550619432.084 * * [misc]simplify: iters left: 3 (47 enodes) 1550619432.096 * * [misc]simplify: iters left: 2 (55 enodes) 1550619432.111 * * [misc]simplify: iters left: 1 (64 enodes) 1550619432.122 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.122 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.122 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.122 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619432.122 * * [misc]simplify: Extracting #4: cost 14 inf + 330 1550619432.122 * * [misc]simplify: Extracting #5: cost 7 inf + 953 1550619432.122 * * [misc]simplify: Extracting #6: cost 0 inf + 2319 1550619432.123 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))) 1550619432.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))))) 1550619432.123 * * * * [misc]progress: [ 46 / 131 ] simplifiying candidate # 1550619432.123 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619432.123 * * [misc]simplify: iters left: 6 (9 enodes) 1550619432.125 * * [misc]simplify: iters left: 5 (30 enodes) 1550619432.130 * * [misc]simplify: iters left: 4 (40 enodes) 1550619432.136 * * [misc]simplify: iters left: 3 (47 enodes) 1550619432.142 * * [misc]simplify: iters left: 2 (55 enodes) 1550619432.153 * * [misc]simplify: iters left: 1 (64 enodes) 1550619432.166 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.166 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.166 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.166 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619432.167 * * [misc]simplify: Extracting #4: cost 14 inf + 290 1550619432.167 * * [misc]simplify: Extracting #5: cost 7 inf + 873 1550619432.167 * * [misc]simplify: Extracting #6: cost 0 inf + 2159 1550619432.168 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619432.168 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k))))) 1550619432.168 * * * * [misc]progress: [ 47 / 131 ] simplifiying candidate # 1550619432.168 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (sqrt k)) 1550619432.169 * * [misc]simplify: iters left: 6 (8 enodes) 1550619432.172 * * [misc]simplify: iters left: 5 (27 enodes) 1550619432.180 * * [misc]simplify: iters left: 4 (37 enodes) 1550619432.191 * * [misc]simplify: iters left: 3 (44 enodes) 1550619432.203 * * [misc]simplify: iters left: 2 (52 enodes) 1550619432.218 * * [misc]simplify: iters left: 1 (61 enodes) 1550619432.231 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.231 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.231 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.231 * * [misc]simplify: Extracting #3: cost 11 inf + 43 1550619432.231 * * [misc]simplify: Extracting #4: cost 14 inf + 127 1550619432.232 * * [misc]simplify: Extracting #5: cost 5 inf + 1206 1550619432.232 * * [misc]simplify: Extracting #6: cost 1 inf + 1875 1550619432.233 * * [misc]simplify: Extracting #7: cost 0 inf + 1917 1550619432.233 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (sqrt k)) 1550619432.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) 1)) (/ (pow n (- 1/2 (* k 1/2))) (sqrt k)))) 1550619432.233 * * * * [misc]progress: [ 48 / 131 ] simplifiying candidate # 1550619432.234 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619432.234 * * [misc]simplify: iters left: 6 (12 enodes) 1550619432.238 * * [misc]simplify: iters left: 5 (40 enodes) 1550619432.248 * * [misc]simplify: iters left: 4 (50 enodes) 1550619432.255 * * [misc]simplify: iters left: 3 (57 enodes) 1550619432.263 * * [misc]simplify: iters left: 2 (65 enodes) 1550619432.273 * * [misc]simplify: iters left: 1 (74 enodes) 1550619432.283 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.283 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.284 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619432.284 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619432.284 * * [misc]simplify: Extracting #4: cost 18 inf + 83 1550619432.284 * * [misc]simplify: Extracting #5: cost 18 inf + 370 1550619432.284 * * [misc]simplify: Extracting #6: cost 5 inf + 2283 1550619432.285 * * [misc]simplify: Extracting #7: cost 0 inf + 3556 1550619432.285 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619432.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))) 1550619432.285 * * * * [misc]progress: [ 49 / 131 ] simplifiying candidate # 1550619432.286 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619432.286 * * [misc]simplify: iters left: 6 (12 enodes) 1550619432.289 * * [misc]simplify: iters left: 5 (40 enodes) 1550619432.296 * * [misc]simplify: iters left: 4 (50 enodes) 1550619432.303 * * [misc]simplify: iters left: 3 (57 enodes) 1550619432.316 * * [misc]simplify: iters left: 2 (65 enodes) 1550619432.333 * * [misc]simplify: iters left: 1 (74 enodes) 1550619432.349 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.349 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.349 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619432.349 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619432.349 * * [misc]simplify: Extracting #4: cost 18 inf + 83 1550619432.349 * * [misc]simplify: Extracting #5: cost 18 inf + 290 1550619432.350 * * [misc]simplify: Extracting #6: cost 5 inf + 2203 1550619432.351 * * [misc]simplify: Extracting #7: cost 0 inf + 3396 1550619432.352 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619432.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))) 1550619432.352 * * * * [misc]progress: [ 50 / 131 ] simplifiying candidate # 1550619432.352 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619432.352 * * [misc]simplify: iters left: 6 (11 enodes) 1550619432.357 * * [misc]simplify: iters left: 5 (37 enodes) 1550619432.368 * * [misc]simplify: iters left: 4 (47 enodes) 1550619432.381 * * [misc]simplify: iters left: 3 (54 enodes) 1550619432.396 * * [misc]simplify: iters left: 2 (62 enodes) 1550619432.413 * * [misc]simplify: iters left: 1 (71 enodes) 1550619432.429 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.429 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.429 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619432.429 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550619432.429 * * [misc]simplify: Extracting #4: cost 16 inf + 83 1550619432.430 * * [misc]simplify: Extracting #5: cost 17 inf + 210 1550619432.430 * * [misc]simplify: Extracting #6: cost 6 inf + 1707 1550619432.431 * * [misc]simplify: Extracting #7: cost 0 inf + 3154 1550619432.431 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619432.432 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) 1)) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619432.432 * * * * [misc]progress: [ 51 / 131 ] simplifiying candidate # 1550619432.432 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619432.432 * * [misc]simplify: iters left: 6 (12 enodes) 1550619432.437 * * [misc]simplify: iters left: 5 (40 enodes) 1550619432.443 * * [misc]simplify: iters left: 4 (50 enodes) 1550619432.451 * * [misc]simplify: iters left: 3 (57 enodes) 1550619432.459 * * [misc]simplify: iters left: 2 (65 enodes) 1550619432.471 * * [misc]simplify: iters left: 1 (74 enodes) 1550619432.486 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.487 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.487 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619432.487 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619432.487 * * [misc]simplify: Extracting #4: cost 18 inf + 83 1550619432.487 * * [misc]simplify: Extracting #5: cost 18 inf + 370 1550619432.487 * * [misc]simplify: Extracting #6: cost 5 inf + 2203 1550619432.487 * * [misc]simplify: Extracting #7: cost 0 inf + 3396 1550619432.488 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619432.488 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))) 1550619432.488 * * * * [misc]progress: [ 52 / 131 ] simplifiying candidate # 1550619432.488 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619432.488 * * [misc]simplify: iters left: 6 (12 enodes) 1550619432.491 * * [misc]simplify: iters left: 5 (40 enodes) 1550619432.497 * * [misc]simplify: iters left: 4 (50 enodes) 1550619432.504 * * [misc]simplify: iters left: 3 (57 enodes) 1550619432.512 * * [misc]simplify: iters left: 2 (65 enodes) 1550619432.530 * * [misc]simplify: iters left: 1 (74 enodes) 1550619432.547 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.547 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.547 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619432.547 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619432.547 * * [misc]simplify: Extracting #4: cost 18 inf + 83 1550619432.547 * * [misc]simplify: Extracting #5: cost 18 inf + 290 1550619432.548 * * [misc]simplify: Extracting #6: cost 5 inf + 2123 1550619432.549 * * [misc]simplify: Extracting #7: cost 0 inf + 3236 1550619432.550 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619432.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))) 1550619432.552 * * * * [misc]progress: [ 53 / 131 ] simplifiying candidate # 1550619432.552 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619432.552 * * [misc]simplify: iters left: 6 (11 enodes) 1550619432.557 * * [misc]simplify: iters left: 5 (37 enodes) 1550619432.563 * * [misc]simplify: iters left: 4 (47 enodes) 1550619432.569 * * [misc]simplify: iters left: 3 (54 enodes) 1550619432.577 * * [misc]simplify: iters left: 2 (62 enodes) 1550619432.587 * * [misc]simplify: iters left: 1 (71 enodes) 1550619432.597 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.597 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.597 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619432.597 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550619432.597 * * [misc]simplify: Extracting #4: cost 16 inf + 83 1550619432.598 * * [misc]simplify: Extracting #5: cost 17 inf + 210 1550619432.598 * * [misc]simplify: Extracting #6: cost 6 inf + 1667 1550619432.599 * * [misc]simplify: Extracting #7: cost 0 inf + 2994 1550619432.600 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619432.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) 1)) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)))) 1550619432.600 * * * * [misc]progress: [ 54 / 131 ] simplifiying candidate # 1550619432.600 * [enter]simplify: Simplifying (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619432.600 * * [misc]simplify: iters left: 6 (11 enodes) 1550619432.605 * * [misc]simplify: iters left: 5 (37 enodes) 1550619432.610 * * [misc]simplify: iters left: 4 (47 enodes) 1550619432.617 * * [misc]simplify: iters left: 3 (54 enodes) 1550619432.624 * * [misc]simplify: iters left: 2 (62 enodes) 1550619432.635 * * [misc]simplify: iters left: 1 (71 enodes) 1550619432.655 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.655 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.655 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.655 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619432.655 * * [misc]simplify: Extracting #4: cost 16 inf + 331 1550619432.656 * * [misc]simplify: Extracting #5: cost 5 inf + 1535 1550619432.656 * * [misc]simplify: Extracting #6: cost 0 inf + 2568 1550619432.657 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619432.657 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))) 1550619432.657 * * * * [misc]progress: [ 55 / 131 ] simplifiying candidate # 1550619432.658 * [enter]simplify: Simplifying (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619432.658 * * [misc]simplify: iters left: 6 (11 enodes) 1550619432.663 * * [misc]simplify: iters left: 5 (37 enodes) 1550619432.673 * * [misc]simplify: iters left: 4 (47 enodes) 1550619432.681 * * [misc]simplify: iters left: 3 (54 enodes) 1550619432.689 * * [misc]simplify: iters left: 2 (62 enodes) 1550619432.698 * * [misc]simplify: iters left: 1 (71 enodes) 1550619432.707 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.707 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.707 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.707 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619432.707 * * [misc]simplify: Extracting #4: cost 16 inf + 291 1550619432.707 * * [misc]simplify: Extracting #5: cost 5 inf + 1455 1550619432.708 * * [misc]simplify: Extracting #6: cost 0 inf + 2408 1550619432.708 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619432.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))) 1550619432.708 * * * * [misc]progress: [ 56 / 131 ] simplifiying candidate # 1550619432.708 * [enter]simplify: Simplifying (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619432.708 * * [misc]simplify: iters left: 6 (10 enodes) 1550619432.711 * * [misc]simplify: iters left: 5 (34 enodes) 1550619432.716 * * [misc]simplify: iters left: 4 (44 enodes) 1550619432.723 * * [misc]simplify: iters left: 3 (51 enodes) 1550619432.736 * * [misc]simplify: iters left: 2 (59 enodes) 1550619432.756 * * [misc]simplify: iters left: 1 (68 enodes) 1550619432.771 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.771 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.771 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.771 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550619432.772 * * [misc]simplify: Extracting #4: cost 16 inf + 128 1550619432.772 * * [misc]simplify: Extracting #5: cost 3 inf + 2081 1550619432.773 * * [misc]simplify: Extracting #6: cost 0 inf + 2206 1550619432.773 * * [misc]simplify: Extracting #7: cost 0 inf + 2166 1550619432.774 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619432.774 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 1)) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619432.774 * * * * [misc]progress: [ 57 / 131 ] simplifiying candidate # 1550619432.775 * [enter]simplify: Simplifying (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619432.775 * * [misc]simplify: iters left: 6 (10 enodes) 1550619432.780 * * [misc]simplify: iters left: 5 (34 enodes) 1550619432.790 * * [misc]simplify: iters left: 4 (44 enodes) 1550619432.803 * * [misc]simplify: iters left: 3 (51 enodes) 1550619432.816 * * [misc]simplify: iters left: 2 (59 enodes) 1550619432.833 * * [misc]simplify: iters left: 1 (68 enodes) 1550619432.847 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.847 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.847 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619432.847 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550619432.847 * * [misc]simplify: Extracting #4: cost 16 inf + 128 1550619432.848 * * [misc]simplify: Extracting #5: cost 3 inf + 2081 1550619432.848 * * [misc]simplify: Extracting #6: cost 0 inf + 2206 1550619432.848 * * [misc]simplify: Extracting #7: cost 0 inf + 2166 1550619432.849 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619432.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) 1) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619432.849 * * * * [misc]progress: [ 58 / 131 ] simplifiying candidate # 1550619432.849 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1550619432.849 * * [misc]simplify: iters left: 3 (4 enodes) 1550619432.850 * * [misc]simplify: iters left: 2 (14 enodes) 1550619432.852 * * [misc]simplify: iters left: 1 (16 enodes) 1550619432.855 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.855 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.855 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619432.855 * * [misc]simplify: Extracting #3: cost 3 inf + 43 1550619432.855 * * [misc]simplify: Extracting #4: cost 1 inf + 166 1550619432.855 * * [misc]simplify: Extracting #5: cost 0 inf + 248 1550619432.855 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1550619432.855 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow (* PI n) (- 1/2 (* 1/2 k)))) (/ 1 (sqrt k)))) 1550619432.855 * * * * [misc]progress: [ 59 / 131 ] simplifiying candidate # 1550619432.855 * [enter]simplify: Simplifying (pow 2 1/2) 1550619432.855 * * [misc]simplify: iters left: 1 (3 enodes) 1550619432.857 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.857 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.857 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619432.857 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1550619432.857 * [exit]simplify: Simplified to (sqrt 2) 1550619432.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt 2) (* (pow 2 (- (* 1/2 k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))) 1550619432.857 * * * * [misc]progress: [ 60 / 131 ] simplifiying candidate # 1550619432.857 * [enter]simplify: Simplifying (pow 2 1/2) 1550619432.857 * * [misc]simplify: iters left: 1 (3 enodes) 1550619432.859 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.859 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619432.859 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619432.859 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1550619432.859 * [exit]simplify: Simplified to (sqrt 2) 1550619432.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt 2) (* (pow 2 (- (* 1/2 k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))) 1550619432.859 * * * * [misc]progress: [ 61 / 131 ] simplifiying candidate # 1550619432.859 * [enter]simplify: Simplifying (* (cbrt (pow 2 (- 1/2 (* 1/2 k)))) (cbrt (pow 2 (- 1/2 (* 1/2 k))))) 1550619432.859 * * [misc]simplify: iters left: 6 (8 enodes) 1550619432.861 * * [misc]simplify: iters left: 5 (27 enodes) 1550619432.866 * * [misc]simplify: iters left: 4 (37 enodes) 1550619432.872 * * [misc]simplify: iters left: 3 (44 enodes) 1550619432.880 * * [misc]simplify: iters left: 2 (52 enodes) 1550619432.889 * * [misc]simplify: iters left: 1 (61 enodes) 1550619432.904 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.904 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619432.904 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619432.904 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550619432.904 * * [misc]simplify: Extracting #4: cost 12 inf + 1 1550619432.904 * * [misc]simplify: Extracting #5: cost 18 inf + 2 1550619432.904 * * [misc]simplify: Extracting #6: cost 14 inf + 88 1550619432.904 * * [misc]simplify: Extracting #7: cost 6 inf + 754 1550619432.905 * * [misc]simplify: Extracting #8: cost 1 inf + 2248 1550619432.906 * * [misc]simplify: Extracting #9: cost 0 inf + 2661 1550619432.906 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (* k 1/2)))) (cbrt (pow 2 (- 1/2 (* k 1/2))))) 1550619432.906 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (* k 1/2)))) (cbrt (pow 2 (- 1/2 (* k 1/2))))) (* (cbrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))) 1550619432.906 * * * * [misc]progress: [ 62 / 131 ] simplifiying candidate # 1550619432.907 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (* 1/2 k)))) 1550619432.907 * * [misc]simplify: iters left: 6 (7 enodes) 1550619432.911 * * [misc]simplify: iters left: 5 (24 enodes) 1550619432.918 * * [misc]simplify: iters left: 4 (34 enodes) 1550619432.928 * * [misc]simplify: iters left: 3 (41 enodes) 1550619432.939 * * [misc]simplify: iters left: 2 (49 enodes) 1550619432.955 * * [misc]simplify: iters left: 1 (58 enodes) 1550619432.968 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.968 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619432.968 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619432.968 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619432.968 * * [misc]simplify: Extracting #4: cost 16 inf + 2 1550619432.968 * * [misc]simplify: Extracting #5: cost 8 inf + 256 1550619432.969 * * [misc]simplify: Extracting #6: cost 3 inf + 796 1550619432.969 * * [misc]simplify: Extracting #7: cost 1 inf + 1422 1550619432.969 * * [misc]simplify: Extracting #8: cost 0 inf + 1755 1550619432.970 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (* k 1/2)))) 1550619432.970 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow 2 (- 1/2 (* k 1/2)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))) 1550619432.970 * * * * [misc]progress: [ 63 / 131 ] simplifiying candidate # 1550619432.970 * * * * [misc]progress: [ 64 / 131 ] simplifiying candidate # 1550619432.970 * [enter]simplify: Simplifying (sqrt k) 1550619432.971 * * [misc]simplify: iters left: 1 (2 enodes) 1550619432.971 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619432.971 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619432.971 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1550619432.971 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1550619432.972 * [exit]simplify: Simplified to (sqrt k) 1550619432.972 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow 2 (- 1/2 (* 1/2 k))) (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k))) 1550619432.972 * * * * [misc]progress: [ 65 / 131 ] simplifiying candidate # 1550619432.972 * [enter]simplify: Simplifying (* (pow 2 1/2) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))) 1550619432.972 * * [misc]simplify: iters left: 6 (13 enodes) 1550619432.979 * * [misc]simplify: iters left: 5 (47 enodes) 1550619432.989 * * [misc]simplify: iters left: 4 (63 enodes) 1550619433.000 * * [misc]simplify: iters left: 3 (74 enodes) 1550619433.012 * * [misc]simplify: iters left: 2 (86 enodes) 1550619433.025 * * [misc]simplify: iters left: 1 (98 enodes) 1550619433.046 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619433.046 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1550619433.046 * * [misc]simplify: Extracting #2: cost 23 inf + 0 1550619433.046 * * [misc]simplify: Extracting #3: cost 27 inf + 3 1550619433.046 * * [misc]simplify: Extracting #4: cost 20 inf + 955 1550619433.048 * * [misc]simplify: Extracting #5: cost 6 inf + 4097 1550619433.049 * * [misc]simplify: Extracting #6: cost 1 inf + 5383 1550619433.051 * * [misc]simplify: Extracting #7: cost 0 inf + 5385 1550619433.052 * [exit]simplify: Simplified to (* (/ (pow (* PI n) (- 1/2 (* k 1/2))) (sqrt k)) (sqrt 2)) 1550619433.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (pow (* PI n) (- 1/2 (* k 1/2))) (sqrt k)) (sqrt 2)) (pow 2 (* 1/2 k)))) 1550619433.053 * * * * [misc]progress: [ 66 / 131 ] simplifiying candidate #real (real->posit16 (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))))> 1550619433.053 * * * * [misc]progress: [ 67 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 68 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 69 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 70 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 71 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 72 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 73 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 74 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 75 / 131 ] simplifiying candidate #real (real->posit16 (* PI n))) (- 1/2 (* 1/2 k))) (sqrt k))))> 1550619433.053 * * * * [misc]progress: [ 76 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 77 / 131 ] simplifiying candidate # 1550619433.053 * * * * [misc]progress: [ 78 / 131 ] simplifiying candidate # 1550619433.054 * [enter]simplify: Simplifying (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619433.054 * * [misc]simplify: iters left: 6 (12 enodes) 1550619433.059 * * [misc]simplify: iters left: 5 (46 enodes) 1550619433.073 * * [misc]simplify: iters left: 4 (76 enodes) 1550619433.100 * * [misc]simplify: iters left: 3 (161 enodes) 1550619433.170 * * [misc]simplify: iters left: 2 (485 enodes) 1550619433.366 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619433.367 * * [misc]simplify: Extracting #1: cost 80 inf + 0 1550619433.367 * * [misc]simplify: Extracting #2: cost 247 inf + 0 1550619433.369 * * [misc]simplify: Extracting #3: cost 271 inf + 553 1550619433.370 * * [misc]simplify: Extracting #4: cost 244 inf + 4081 1550619433.379 * * [misc]simplify: Extracting #5: cost 61 inf + 55129 1550619433.396 * * [misc]simplify: Extracting #6: cost 1 inf + 75527 1550619433.416 * * [misc]simplify: Extracting #7: cost 0 inf + 75627 1550619433.436 * [exit]simplify: Simplified to (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619433.436 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (exp (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))))) 1550619433.436 * * * * [misc]progress: [ 79 / 131 ] simplifiying candidate # 1550619433.436 * [enter]simplify: Simplifying (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619433.436 * * [misc]simplify: iters left: 6 (12 enodes) 1550619433.442 * * [misc]simplify: iters left: 5 (46 enodes) 1550619433.456 * * [misc]simplify: iters left: 4 (76 enodes) 1550619433.482 * * [misc]simplify: iters left: 3 (161 enodes) 1550619433.568 * * [misc]simplify: iters left: 2 (485 enodes) 1550619433.769 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619433.769 * * [misc]simplify: Extracting #1: cost 80 inf + 0 1550619433.771 * * [misc]simplify: Extracting #2: cost 247 inf + 0 1550619433.773 * * [misc]simplify: Extracting #3: cost 271 inf + 553 1550619433.776 * * [misc]simplify: Extracting #4: cost 244 inf + 4081 1550619433.794 * * [misc]simplify: Extracting #5: cost 61 inf + 55129 1550619433.811 * * [misc]simplify: Extracting #6: cost 1 inf + 75527 1550619433.828 * * [misc]simplify: Extracting #7: cost 0 inf + 75627 1550619433.859 * [exit]simplify: Simplified to (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619433.859 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (exp (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))))) 1550619433.860 * * * * [misc]progress: [ 80 / 131 ] simplifiying candidate # 1550619433.860 * [enter]simplify: Simplifying (- (log (pow (* PI n) (- 1/2 (* 1/2 k)))) (log (sqrt k))) 1550619433.860 * * [misc]simplify: iters left: 6 (12 enodes) 1550619433.865 * * [misc]simplify: iters left: 5 (44 enodes) 1550619433.878 * * [misc]simplify: iters left: 4 (64 enodes) 1550619433.897 * * [misc]simplify: iters left: 3 (91 enodes) 1550619433.928 * * [misc]simplify: iters left: 2 (214 enodes) 1550619434.041 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.041 * * [misc]simplify: Extracting #1: cost 50 inf + 0 1550619434.042 * * [misc]simplify: Extracting #2: cost 138 inf + 0 1550619434.043 * * [misc]simplify: Extracting #3: cost 157 inf + 209 1550619434.044 * * [misc]simplify: Extracting #4: cost 134 inf + 3124 1550619434.049 * * [misc]simplify: Extracting #5: cost 78 inf + 15100 1550619434.057 * * [misc]simplify: Extracting #6: cost 6 inf + 37381 1550619434.065 * * [misc]simplify: Extracting #7: cost 0 inf + 39777 1550619434.075 * [exit]simplify: Simplified to (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k))) 1550619434.075 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (exp (- (* (log (* PI n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))))) 1550619434.075 * * * * [misc]progress: [ 81 / 131 ] simplifiying candidate # 1550619434.075 * * * * [misc]progress: [ 82 / 131 ] simplifiying candidate # 1550619434.075 * * * * [misc]progress: [ 83 / 131 ] simplifiying candidate # 1550619434.075 * [enter]simplify: Simplifying (/ (* (* (pow (* PI n) (- 1/2 (* 1/2 k))) (pow (* PI n) (- 1/2 (* 1/2 k)))) (pow (* PI n) (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1550619434.076 * * [misc]simplify: iters left: 6 (14 enodes) 1550619434.079 * * [misc]simplify: iters left: 5 (53 enodes) 1550619434.091 * * [misc]simplify: iters left: 4 (103 enodes) 1550619434.110 * * [misc]simplify: iters left: 3 (178 enodes) 1550619434.144 * * [misc]simplify: iters left: 2 (227 enodes) 1550619434.188 * * [misc]simplify: iters left: 1 (255 enodes) 1550619434.259 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.259 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1550619434.259 * * [misc]simplify: Extracting #2: cost 43 inf + 123 1550619434.260 * * [misc]simplify: Extracting #3: cost 48 inf + 246 1550619434.260 * * [misc]simplify: Extracting #4: cost 48 inf + 455 1550619434.261 * * [misc]simplify: Extracting #5: cost 32 inf + 3902 1550619434.266 * * [misc]simplify: Extracting #6: cost 4 inf + 15389 1550619434.270 * * [misc]simplify: Extracting #7: cost 0 inf + 17205 1550619434.274 * [exit]simplify: Simplified to (/ (/ (* (pow (* PI n) (- 1/2 (* 1/2 k))) (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) (/ k (pow (* PI n) (- 1/2 (* 1/2 k))))) 1550619434.274 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (cbrt (/ (/ (* (pow (* PI n) (- 1/2 (* 1/2 k))) (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) (/ k (pow (* PI n) (- 1/2 (* 1/2 k)))))))) 1550619434.274 * * * * [misc]progress: [ 84 / 131 ] simplifiying candidate # 1550619434.274 * * * * [misc]progress: [ 85 / 131 ] simplifiying candidate # 1550619434.274 * * * * [misc]progress: [ 86 / 131 ] simplifiying candidate # 1550619434.274 * * * * [misc]progress: [ 87 / 131 ] simplifiying candidate # 1550619434.274 * * * * [misc]progress: [ 88 / 131 ] simplifiying candidate # 1550619434.274 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619434.274 * * [misc]simplify: iters left: 6 (10 enodes) 1550619434.277 * * [misc]simplify: iters left: 5 (34 enodes) 1550619434.281 * * [misc]simplify: iters left: 4 (36 enodes) 1550619434.286 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.286 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619434.286 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619434.286 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619434.286 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1550619434.286 * * [misc]simplify: Extracting #5: cost 9 inf + 291 1550619434.287 * * [misc]simplify: Extracting #6: cost 3 inf + 1342 1550619434.287 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 1550619434.287 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619434.287 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (* PI n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (- (* 1/2 k))) (cbrt (sqrt k)))))) 1550619434.287 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (cbrt (sqrt k))) 1550619434.287 * * [misc]simplify: iters left: 6 (11 enodes) 1550619434.292 * * [misc]simplify: iters left: 5 (40 enodes) 1550619434.303 * * [misc]simplify: iters left: 4 (46 enodes) 1550619434.315 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.315 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.315 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.315 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619434.315 * * [misc]simplify: Extracting #4: cost 11 inf + 291 1550619434.315 * * [misc]simplify: Extracting #5: cost 4 inf + 915 1550619434.316 * * [misc]simplify: Extracting #6: cost 0 inf + 2159 1550619434.316 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (cbrt (sqrt k))) 1550619434.317 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (* PI n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (* k -1/2)) (cbrt (sqrt k)))))) 1550619434.317 * * * * [misc]progress: [ 89 / 131 ] simplifiying candidate # 1550619434.317 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (sqrt (sqrt k))) 1550619434.317 * * [misc]simplify: iters left: 5 (9 enodes) 1550619434.321 * * [misc]simplify: iters left: 4 (29 enodes) 1550619434.328 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.328 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.328 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.328 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1550619434.328 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1550619434.328 * * [misc]simplify: Extracting #5: cost 3 inf + 415 1550619434.329 * * [misc]simplify: Extracting #6: cost 0 inf + 902 1550619434.329 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (sqrt (sqrt k))) 1550619434.329 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (* PI n)) (sqrt (sqrt k))) (/ (pow (* PI n) (- (* 1/2 k))) (sqrt (sqrt k)))))) 1550619434.330 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (sqrt (sqrt k))) 1550619434.330 * * [misc]simplify: iters left: 6 (11 enodes) 1550619434.335 * * [misc]simplify: iters left: 5 (40 enodes) 1550619434.346 * * [misc]simplify: iters left: 4 (46 enodes) 1550619434.358 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.358 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.358 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.359 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619434.359 * * [misc]simplify: Extracting #4: cost 11 inf + 251 1550619434.359 * * [misc]simplify: Extracting #5: cost 4 inf + 835 1550619434.360 * * [misc]simplify: Extracting #6: cost 0 inf + 1999 1550619434.360 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (sqrt (sqrt k))) 1550619434.360 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (* PI n)) (sqrt (sqrt k))) (/ (pow (* PI n) (* k -1/2)) (sqrt (sqrt k)))))) 1550619434.360 * * * * [misc]progress: [ 90 / 131 ] simplifiying candidate # 1550619434.361 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) 1) 1550619434.361 * * [misc]simplify: iters left: 5 (7 enodes) 1550619434.364 * * [misc]simplify: iters left: 4 (23 enodes) 1550619434.370 * * [misc]simplify: iters left: 3 (27 enodes) 1550619434.374 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.374 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619434.374 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1550619434.374 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1550619434.374 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1550619434.374 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1550619434.374 * [exit]simplify: Simplified to (sqrt (* PI n)) 1550619434.374 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (* PI n)) (/ (pow (* PI n) (- (* 1/2 k))) (sqrt k))))) 1550619434.375 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (sqrt k)) 1550619434.375 * * [misc]simplify: iters left: 6 (10 enodes) 1550619434.377 * * [misc]simplify: iters left: 5 (37 enodes) 1550619434.384 * * [misc]simplify: iters left: 4 (43 enodes) 1550619434.392 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.392 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.392 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.392 * * [misc]simplify: Extracting #3: cost 14 inf + 83 1550619434.392 * * [misc]simplify: Extracting #4: cost 10 inf + 170 1550619434.393 * * [misc]simplify: Extracting #5: cost 0 inf + 1757 1550619434.393 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (sqrt k)) 1550619434.393 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (* PI n)) (/ (pow (* PI n) (* k -1/2)) (sqrt k))))) 1550619434.394 * * * * [misc]progress: [ 91 / 131 ] simplifiying candidate # 1550619434.394 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619434.394 * * [misc]simplify: iters left: 6 (10 enodes) 1550619434.398 * * [misc]simplify: iters left: 5 (34 enodes) 1550619434.408 * * [misc]simplify: iters left: 4 (36 enodes) 1550619434.417 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.417 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619434.417 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619434.417 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619434.417 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1550619434.417 * * [misc]simplify: Extracting #5: cost 9 inf + 291 1550619434.418 * * [misc]simplify: Extracting #6: cost 3 inf + 1342 1550619434.418 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 1550619434.419 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619434.419 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (* PI n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (- (* 1/2 k))) (cbrt (sqrt k)))))) 1550619434.419 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (cbrt (sqrt k))) 1550619434.419 * * [misc]simplify: iters left: 6 (11 enodes) 1550619434.424 * * [misc]simplify: iters left: 5 (40 enodes) 1550619434.430 * * [misc]simplify: iters left: 4 (46 enodes) 1550619434.436 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.436 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.436 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.436 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619434.436 * * [misc]simplify: Extracting #4: cost 11 inf + 291 1550619434.436 * * [misc]simplify: Extracting #5: cost 4 inf + 915 1550619434.436 * * [misc]simplify: Extracting #6: cost 0 inf + 2159 1550619434.437 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (cbrt (sqrt k))) 1550619434.437 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (* PI n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (* k -1/2)) (cbrt (sqrt k)))))) 1550619434.437 * * * * [misc]progress: [ 92 / 131 ] simplifiying candidate # 1550619434.437 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (sqrt (sqrt k))) 1550619434.437 * * [misc]simplify: iters left: 5 (9 enodes) 1550619434.439 * * [misc]simplify: iters left: 4 (29 enodes) 1550619434.443 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.443 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.443 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.443 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1550619434.443 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1550619434.443 * * [misc]simplify: Extracting #5: cost 3 inf + 415 1550619434.444 * * [misc]simplify: Extracting #6: cost 0 inf + 902 1550619434.444 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (sqrt (sqrt k))) 1550619434.444 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (* PI n)) (sqrt (sqrt k))) (/ (pow (* PI n) (- (* 1/2 k))) (sqrt (sqrt k)))))) 1550619434.444 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (sqrt (sqrt k))) 1550619434.444 * * [misc]simplify: iters left: 6 (11 enodes) 1550619434.447 * * [misc]simplify: iters left: 5 (40 enodes) 1550619434.453 * * [misc]simplify: iters left: 4 (46 enodes) 1550619434.464 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.464 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.464 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.464 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619434.464 * * [misc]simplify: Extracting #4: cost 11 inf + 251 1550619434.465 * * [misc]simplify: Extracting #5: cost 4 inf + 835 1550619434.465 * * [misc]simplify: Extracting #6: cost 0 inf + 1999 1550619434.466 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (sqrt (sqrt k))) 1550619434.466 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (* PI n)) (sqrt (sqrt k))) (/ (pow (* PI n) (* k -1/2)) (sqrt (sqrt k)))))) 1550619434.466 * * * * [misc]progress: [ 93 / 131 ] simplifiying candidate # 1550619434.466 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) 1) 1550619434.466 * * [misc]simplify: iters left: 5 (7 enodes) 1550619434.470 * * [misc]simplify: iters left: 4 (23 enodes) 1550619434.476 * * [misc]simplify: iters left: 3 (27 enodes) 1550619434.482 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.482 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619434.482 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1550619434.482 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1550619434.482 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1550619434.483 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1550619434.483 * [exit]simplify: Simplified to (sqrt (* PI n)) 1550619434.483 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (* PI n)) (/ (pow (* PI n) (- (* 1/2 k))) (sqrt k))))) 1550619434.483 * [enter]simplify: Simplifying (/ (pow (* PI n) (- (* 1/2 k))) (sqrt k)) 1550619434.483 * * [misc]simplify: iters left: 6 (10 enodes) 1550619434.488 * * [misc]simplify: iters left: 5 (37 enodes) 1550619434.497 * * [misc]simplify: iters left: 4 (43 enodes) 1550619434.506 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.506 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.507 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.507 * * [misc]simplify: Extracting #3: cost 14 inf + 83 1550619434.507 * * [misc]simplify: Extracting #4: cost 10 inf + 170 1550619434.507 * * [misc]simplify: Extracting #5: cost 0 inf + 1757 1550619434.508 * [exit]simplify: Simplified to (/ (pow (* PI n) (* k -1/2)) (sqrt k)) 1550619434.508 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (* PI n)) (/ (pow (* PI n) (* k -1/2)) (sqrt k))))) 1550619434.508 * * * * [misc]progress: [ 94 / 131 ] simplifiying candidate # 1550619434.508 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619434.508 * * [misc]simplify: iters left: 6 (10 enodes) 1550619434.512 * * [misc]simplify: iters left: 5 (35 enodes) 1550619434.518 * * [misc]simplify: iters left: 4 (47 enodes) 1550619434.525 * * [misc]simplify: iters left: 3 (54 enodes) 1550619434.537 * * [misc]simplify: iters left: 2 (62 enodes) 1550619434.554 * * [misc]simplify: iters left: 1 (71 enodes) 1550619434.564 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.564 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619434.564 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619434.564 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1550619434.564 * * [misc]simplify: Extracting #4: cost 18 inf + 369 1550619434.564 * * [misc]simplify: Extracting #5: cost 7 inf + 1890 1550619434.565 * * [misc]simplify: Extracting #6: cost 0 inf + 3627 1550619434.565 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619434.565 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))) 1550619434.565 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619434.566 * * [misc]simplify: iters left: 6 (9 enodes) 1550619434.568 * * [misc]simplify: iters left: 5 (30 enodes) 1550619434.573 * * [misc]simplify: iters left: 4 (40 enodes) 1550619434.578 * * [misc]simplify: iters left: 3 (47 enodes) 1550619434.585 * * [misc]simplify: iters left: 2 (55 enodes) 1550619434.602 * * [misc]simplify: iters left: 1 (64 enodes) 1550619434.609 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.610 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.610 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.610 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619434.610 * * [misc]simplify: Extracting #4: cost 14 inf + 330 1550619434.610 * * [misc]simplify: Extracting #5: cost 7 inf + 953 1550619434.610 * * [misc]simplify: Extracting #6: cost 0 inf + 2319 1550619434.611 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))) 1550619434.611 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))) 1550619434.611 * * * * [misc]progress: [ 95 / 131 ] simplifiying candidate # 1550619434.611 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619434.611 * * [misc]simplify: iters left: 6 (9 enodes) 1550619434.613 * * [misc]simplify: iters left: 5 (30 enodes) 1550619434.619 * * [misc]simplify: iters left: 4 (40 enodes) 1550619434.625 * * [misc]simplify: iters left: 3 (47 enodes) 1550619434.634 * * [misc]simplify: iters left: 2 (55 enodes) 1550619434.647 * * [misc]simplify: iters left: 1 (64 enodes) 1550619434.655 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.655 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.655 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.655 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619434.655 * * [misc]simplify: Extracting #4: cost 14 inf + 290 1550619434.655 * * [misc]simplify: Extracting #5: cost 7 inf + 873 1550619434.655 * * [misc]simplify: Extracting #6: cost 0 inf + 2159 1550619434.656 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619434.656 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))) 1550619434.656 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619434.656 * * [misc]simplify: iters left: 6 (9 enodes) 1550619434.658 * * [misc]simplify: iters left: 5 (30 enodes) 1550619434.663 * * [misc]simplify: iters left: 4 (40 enodes) 1550619434.669 * * [misc]simplify: iters left: 3 (47 enodes) 1550619434.678 * * [misc]simplify: iters left: 2 (55 enodes) 1550619434.694 * * [misc]simplify: iters left: 1 (64 enodes) 1550619434.706 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.706 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.706 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.706 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619434.706 * * [misc]simplify: Extracting #4: cost 14 inf + 290 1550619434.706 * * [misc]simplify: Extracting #5: cost 7 inf + 873 1550619434.706 * * [misc]simplify: Extracting #6: cost 0 inf + 2159 1550619434.707 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k))) 1550619434.707 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))) 1550619434.707 * * * * [misc]progress: [ 96 / 131 ] simplifiying candidate # 1550619434.707 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) 1) 1550619434.707 * * [misc]simplify: iters left: 6 (8 enodes) 1550619434.709 * * [misc]simplify: iters left: 5 (27 enodes) 1550619434.714 * * [misc]simplify: iters left: 4 (39 enodes) 1550619434.720 * * [misc]simplify: iters left: 3 (45 enodes) 1550619434.726 * * [misc]simplify: iters left: 2 (49 enodes) 1550619434.738 * * [misc]simplify: iters left: 1 (56 enodes) 1550619434.751 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.752 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619434.752 * * [misc]simplify: Extracting #2: cost 8 inf + 2 1550619434.752 * * [misc]simplify: Extracting #3: cost 13 inf + 3 1550619434.752 * * [misc]simplify: Extracting #4: cost 8 inf + 172 1550619434.752 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1550619434.753 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619434.753 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1550619434.753 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* k 1/2))) (/ (pow n (- 1/2 (* 1/2 k))) (sqrt k))))) 1550619434.754 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (sqrt k)) 1550619434.754 * * [misc]simplify: iters left: 6 (8 enodes) 1550619434.758 * * [misc]simplify: iters left: 5 (27 enodes) 1550619434.763 * * [misc]simplify: iters left: 4 (37 enodes) 1550619434.769 * * [misc]simplify: iters left: 3 (44 enodes) 1550619434.775 * * [misc]simplify: iters left: 2 (52 enodes) 1550619434.783 * * [misc]simplify: iters left: 1 (61 enodes) 1550619434.792 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.792 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.792 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619434.792 * * [misc]simplify: Extracting #3: cost 11 inf + 43 1550619434.792 * * [misc]simplify: Extracting #4: cost 14 inf + 127 1550619434.792 * * [misc]simplify: Extracting #5: cost 5 inf + 1206 1550619434.793 * * [misc]simplify: Extracting #6: cost 1 inf + 1875 1550619434.794 * * [misc]simplify: Extracting #7: cost 0 inf + 1917 1550619434.794 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (sqrt k)) 1550619434.794 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI (- 1/2 (* 1/2 k))) 1) (/ (pow n (- 1/2 (* k 1/2))) (sqrt k))))) 1550619434.794 * * * * [misc]progress: [ 97 / 131 ] simplifiying candidate # 1550619434.795 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619434.795 * * [misc]simplify: iters left: 6 (14 enodes) 1550619434.803 * * [misc]simplify: iters left: 5 (52 enodes) 1550619434.818 * * [misc]simplify: iters left: 4 (77 enodes) 1550619434.829 * * [misc]simplify: iters left: 3 (91 enodes) 1550619434.841 * * [misc]simplify: iters left: 2 (102 enodes) 1550619434.856 * * [misc]simplify: iters left: 1 (111 enodes) 1550619434.870 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.870 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619434.870 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1550619434.870 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1550619434.870 * * [misc]simplify: Extracting #4: cost 34 inf + 1 1550619434.870 * * [misc]simplify: Extracting #5: cost 31 inf + 571 1550619434.871 * * [misc]simplify: Extracting #6: cost 10 inf + 5959 1550619434.872 * * [misc]simplify: Extracting #7: cost 0 inf + 10886 1550619434.874 * * [misc]simplify: Extracting #8: cost 0 inf + 10846 1550619434.875 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) 1550619434.875 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))) 1550619434.876 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619434.876 * * [misc]simplify: iters left: 6 (12 enodes) 1550619434.879 * * [misc]simplify: iters left: 5 (40 enodes) 1550619434.885 * * [misc]simplify: iters left: 4 (50 enodes) 1550619434.894 * * [misc]simplify: iters left: 3 (57 enodes) 1550619434.903 * * [misc]simplify: iters left: 2 (65 enodes) 1550619434.912 * * [misc]simplify: iters left: 1 (74 enodes) 1550619434.925 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619434.925 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619434.925 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619434.925 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619434.925 * * [misc]simplify: Extracting #4: cost 18 inf + 83 1550619434.926 * * [misc]simplify: Extracting #5: cost 18 inf + 370 1550619434.926 * * [misc]simplify: Extracting #6: cost 5 inf + 2283 1550619434.927 * * [misc]simplify: Extracting #7: cost 0 inf + 3556 1550619434.928 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619434.928 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))) 1550619434.928 * * * * [misc]progress: [ 98 / 131 ] simplifiying candidate # 1550619434.928 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) 1550619434.928 * * [misc]simplify: iters left: 6 (13 enodes) 1550619434.934 * * [misc]simplify: iters left: 5 (45 enodes) 1550619434.946 * * [misc]simplify: iters left: 4 (59 enodes) 1550619434.955 * * [misc]simplify: iters left: 3 (69 enodes) 1550619434.964 * * [misc]simplify: iters left: 2 (77 enodes) 1550619434.977 * * [misc]simplify: iters left: 1 (86 enodes) 1550619435.001 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.001 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619435.001 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550619435.001 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619435.001 * * [misc]simplify: Extracting #4: cost 23 inf + 204 1550619435.001 * * [misc]simplify: Extracting #5: cost 24 inf + 290 1550619435.002 * * [misc]simplify: Extracting #6: cost 11 inf + 2775 1550619435.003 * * [misc]simplify: Extracting #7: cost 3 inf + 5410 1550619435.005 * * [misc]simplify: Extracting #8: cost 0 inf + 6520 1550619435.006 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) 1550619435.006 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))) 1550619435.007 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619435.007 * * [misc]simplify: iters left: 6 (12 enodes) 1550619435.012 * * [misc]simplify: iters left: 5 (40 enodes) 1550619435.024 * * [misc]simplify: iters left: 4 (50 enodes) 1550619435.033 * * [misc]simplify: iters left: 3 (57 enodes) 1550619435.041 * * [misc]simplify: iters left: 2 (65 enodes) 1550619435.051 * * [misc]simplify: iters left: 1 (74 enodes) 1550619435.063 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.063 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.063 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619435.064 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619435.064 * * [misc]simplify: Extracting #4: cost 18 inf + 83 1550619435.064 * * [misc]simplify: Extracting #5: cost 18 inf + 290 1550619435.064 * * [misc]simplify: Extracting #6: cost 5 inf + 2203 1550619435.065 * * [misc]simplify: Extracting #7: cost 0 inf + 3396 1550619435.066 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619435.066 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))) 1550619435.066 * * * * [misc]progress: [ 99 / 131 ] simplifiying candidate # 1550619435.067 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) 1) 1550619435.067 * * [misc]simplify: iters left: 6 (12 enodes) 1550619435.073 * * [misc]simplify: iters left: 5 (42 enodes) 1550619435.081 * * [misc]simplify: iters left: 4 (62 enodes) 1550619435.090 * * [misc]simplify: iters left: 3 (69 enodes) 1550619435.101 * * [misc]simplify: iters left: 2 (73 enodes) 1550619435.117 * * [misc]simplify: iters left: 1 (80 enodes) 1550619435.134 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.134 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619435.134 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550619435.134 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619435.135 * * [misc]simplify: Extracting #4: cost 18 inf + 1 1550619435.135 * * [misc]simplify: Extracting #5: cost 21 inf + 4 1550619435.135 * * [misc]simplify: Extracting #6: cost 13 inf + 299 1550619435.136 * * [misc]simplify: Extracting #7: cost 4 inf + 2084 1550619435.136 * * [misc]simplify: Extracting #8: cost 1 inf + 3448 1550619435.137 * * [misc]simplify: Extracting #9: cost 0 inf + 3902 1550619435.138 * [exit]simplify: Simplified to (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) 1550619435.138 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k))))) 1550619435.139 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619435.139 * * [misc]simplify: iters left: 6 (11 enodes) 1550619435.144 * * [misc]simplify: iters left: 5 (37 enodes) 1550619435.150 * * [misc]simplify: iters left: 4 (47 enodes) 1550619435.157 * * [misc]simplify: iters left: 3 (54 enodes) 1550619435.164 * * [misc]simplify: iters left: 2 (62 enodes) 1550619435.174 * * [misc]simplify: iters left: 1 (71 enodes) 1550619435.190 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.190 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.190 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619435.190 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550619435.190 * * [misc]simplify: Extracting #4: cost 16 inf + 83 1550619435.190 * * [misc]simplify: Extracting #5: cost 17 inf + 210 1550619435.191 * * [misc]simplify: Extracting #6: cost 6 inf + 1707 1550619435.192 * * [misc]simplify: Extracting #7: cost 0 inf + 3154 1550619435.192 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619435.192 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (/ (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k))))) 1550619435.193 * * * * [misc]progress: [ 100 / 131 ] simplifiying candidate # 1550619435.193 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619435.193 * * [misc]simplify: iters left: 6 (13 enodes) 1550619435.199 * * [misc]simplify: iters left: 5 (45 enodes) 1550619435.215 * * [misc]simplify: iters left: 4 (57 enodes) 1550619435.230 * * [misc]simplify: iters left: 3 (64 enodes) 1550619435.245 * * [misc]simplify: iters left: 2 (72 enodes) 1550619435.263 * * [misc]simplify: iters left: 1 (81 enodes) 1550619435.275 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.275 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619435.275 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550619435.275 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550619435.276 * * [misc]simplify: Extracting #4: cost 23 inf + 42 1550619435.276 * * [misc]simplify: Extracting #5: cost 20 inf + 692 1550619435.276 * * [misc]simplify: Extracting #6: cost 5 inf + 3301 1550619435.277 * * [misc]simplify: Extracting #7: cost 0 inf + 4866 1550619435.278 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619435.278 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))) 1550619435.279 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619435.279 * * [misc]simplify: iters left: 6 (12 enodes) 1550619435.284 * * [misc]simplify: iters left: 5 (40 enodes) 1550619435.294 * * [misc]simplify: iters left: 4 (50 enodes) 1550619435.306 * * [misc]simplify: iters left: 3 (57 enodes) 1550619435.314 * * [misc]simplify: iters left: 2 (65 enodes) 1550619435.330 * * [misc]simplify: iters left: 1 (74 enodes) 1550619435.342 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.342 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.342 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619435.342 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619435.342 * * [misc]simplify: Extracting #4: cost 18 inf + 83 1550619435.342 * * [misc]simplify: Extracting #5: cost 18 inf + 370 1550619435.342 * * [misc]simplify: Extracting #6: cost 5 inf + 2203 1550619435.343 * * [misc]simplify: Extracting #7: cost 0 inf + 3396 1550619435.343 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) 1550619435.343 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))) 1550619435.343 * * * * [misc]progress: [ 101 / 131 ] simplifiying candidate # 1550619435.344 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619435.344 * * [misc]simplify: iters left: 6 (12 enodes) 1550619435.346 * * [misc]simplify: iters left: 5 (40 enodes) 1550619435.352 * * [misc]simplify: iters left: 4 (50 enodes) 1550619435.359 * * [misc]simplify: iters left: 3 (57 enodes) 1550619435.370 * * [misc]simplify: iters left: 2 (65 enodes) 1550619435.388 * * [misc]simplify: iters left: 1 (74 enodes) 1550619435.399 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.399 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.399 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619435.399 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619435.399 * * [misc]simplify: Extracting #4: cost 18 inf + 83 1550619435.399 * * [misc]simplify: Extracting #5: cost 18 inf + 290 1550619435.400 * * [misc]simplify: Extracting #6: cost 5 inf + 2123 1550619435.400 * * [misc]simplify: Extracting #7: cost 0 inf + 3236 1550619435.401 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619435.401 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))) 1550619435.401 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619435.401 * * [misc]simplify: iters left: 6 (12 enodes) 1550619435.404 * * [misc]simplify: iters left: 5 (40 enodes) 1550619435.410 * * [misc]simplify: iters left: 4 (50 enodes) 1550619435.417 * * [misc]simplify: iters left: 3 (57 enodes) 1550619435.429 * * [misc]simplify: iters left: 2 (65 enodes) 1550619435.450 * * [misc]simplify: iters left: 1 (74 enodes) 1550619435.465 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.465 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.465 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619435.465 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619435.465 * * [misc]simplify: Extracting #4: cost 18 inf + 83 1550619435.465 * * [misc]simplify: Extracting #5: cost 18 inf + 290 1550619435.465 * * [misc]simplify: Extracting #6: cost 5 inf + 2123 1550619435.466 * * [misc]simplify: Extracting #7: cost 0 inf + 3236 1550619435.466 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619435.466 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))) 1550619435.466 * * * * [misc]progress: [ 102 / 131 ] simplifiying candidate # 1550619435.466 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) 1) 1550619435.466 * * [misc]simplify: iters left: 6 (11 enodes) 1550619435.469 * * [misc]simplify: iters left: 5 (37 enodes) 1550619435.475 * * [misc]simplify: iters left: 4 (49 enodes) 1550619435.482 * * [misc]simplify: iters left: 3 (55 enodes) 1550619435.489 * * [misc]simplify: iters left: 2 (59 enodes) 1550619435.503 * * [misc]simplify: iters left: 1 (66 enodes) 1550619435.517 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.518 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.518 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619435.518 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619435.518 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1550619435.518 * * [misc]simplify: Extracting #5: cost 10 inf + 257 1550619435.518 * * [misc]simplify: Extracting #6: cost 3 inf + 922 1550619435.519 * * [misc]simplify: Extracting #7: cost 0 inf + 2004 1550619435.520 * [exit]simplify: Simplified to (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) 1550619435.520 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k))))) 1550619435.520 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619435.520 * * [misc]simplify: iters left: 6 (11 enodes) 1550619435.525 * * [misc]simplify: iters left: 5 (37 enodes) 1550619435.536 * * [misc]simplify: iters left: 4 (47 enodes) 1550619435.545 * * [misc]simplify: iters left: 3 (54 enodes) 1550619435.554 * * [misc]simplify: iters left: 2 (62 enodes) 1550619435.563 * * [misc]simplify: iters left: 1 (71 enodes) 1550619435.572 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.572 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.572 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619435.572 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550619435.572 * * [misc]simplify: Extracting #4: cost 16 inf + 83 1550619435.572 * * [misc]simplify: Extracting #5: cost 17 inf + 210 1550619435.573 * * [misc]simplify: Extracting #6: cost 6 inf + 1667 1550619435.573 * * [misc]simplify: Extracting #7: cost 0 inf + 2994 1550619435.574 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619435.574 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (sqrt k))))) 1550619435.574 * * * * [misc]progress: [ 103 / 131 ] simplifiying candidate # 1550619435.575 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619435.575 * * [misc]simplify: iters left: 6 (6 enodes) 1550619435.577 * * [misc]simplify: iters left: 5 (22 enodes) 1550619435.583 * * [misc]simplify: iters left: 4 (26 enodes) 1550619435.589 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.590 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619435.590 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619435.590 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550619435.590 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1550619435.590 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1550619435.590 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1550619435.591 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619435.591 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))) 1550619435.591 * [enter]simplify: Simplifying (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619435.591 * * [misc]simplify: iters left: 6 (11 enodes) 1550619435.596 * * [misc]simplify: iters left: 5 (37 enodes) 1550619435.601 * * [misc]simplify: iters left: 4 (47 enodes) 1550619435.608 * * [misc]simplify: iters left: 3 (54 enodes) 1550619435.617 * * [misc]simplify: iters left: 2 (62 enodes) 1550619435.627 * * [misc]simplify: iters left: 1 (71 enodes) 1550619435.643 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.643 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.643 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619435.644 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619435.644 * * [misc]simplify: Extracting #4: cost 16 inf + 331 1550619435.644 * * [misc]simplify: Extracting #5: cost 5 inf + 1535 1550619435.645 * * [misc]simplify: Extracting #6: cost 0 inf + 2568 1550619435.646 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) 1550619435.646 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))) 1550619435.646 * * * * [misc]progress: [ 104 / 131 ] simplifiying candidate # 1550619435.646 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1550619435.646 * * [misc]simplify: iters left: 4 (5 enodes) 1550619435.651 * * [misc]simplify: iters left: 3 (17 enodes) 1550619435.656 * * [misc]simplify: iters left: 2 (19 enodes) 1550619435.661 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.661 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.661 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619435.661 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550619435.661 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1550619435.662 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550619435.662 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))) 1550619435.662 * [enter]simplify: Simplifying (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619435.662 * * [misc]simplify: iters left: 6 (11 enodes) 1550619435.664 * * [misc]simplify: iters left: 5 (37 enodes) 1550619435.670 * * [misc]simplify: iters left: 4 (47 enodes) 1550619435.676 * * [misc]simplify: iters left: 3 (54 enodes) 1550619435.684 * * [misc]simplify: iters left: 2 (62 enodes) 1550619435.694 * * [misc]simplify: iters left: 1 (71 enodes) 1550619435.708 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.708 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.708 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619435.709 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550619435.709 * * [misc]simplify: Extracting #4: cost 16 inf + 291 1550619435.709 * * [misc]simplify: Extracting #5: cost 5 inf + 1455 1550619435.710 * * [misc]simplify: Extracting #6: cost 0 inf + 2408 1550619435.710 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) 1550619435.710 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))) 1550619435.710 * * * * [misc]progress: [ 105 / 131 ] simplifiying candidate # 1550619435.711 * [enter]simplify: Simplifying (/ 1 1) 1550619435.711 * * [misc]simplify: iters left: 2 (2 enodes) 1550619435.712 * * [misc]simplify: iters left: 1 (6 enodes) 1550619435.714 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.714 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619435.714 * [exit]simplify: Simplified to 1 1550619435.714 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* 1 (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))) 1550619435.714 * [enter]simplify: Simplifying (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619435.715 * * [misc]simplify: iters left: 6 (10 enodes) 1550619435.718 * * [misc]simplify: iters left: 5 (34 enodes) 1550619435.727 * * [misc]simplify: iters left: 4 (44 enodes) 1550619435.735 * * [misc]simplify: iters left: 3 (51 enodes) 1550619435.742 * * [misc]simplify: iters left: 2 (59 enodes) 1550619435.753 * * [misc]simplify: iters left: 1 (68 enodes) 1550619435.761 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.761 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.761 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619435.761 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550619435.761 * * [misc]simplify: Extracting #4: cost 16 inf + 128 1550619435.761 * * [misc]simplify: Extracting #5: cost 3 inf + 2081 1550619435.762 * * [misc]simplify: Extracting #6: cost 0 inf + 2206 1550619435.762 * * [misc]simplify: Extracting #7: cost 0 inf + 2166 1550619435.762 * [exit]simplify: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k)) 1550619435.762 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* 1 (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))) 1550619435.763 * * * * [misc]progress: [ 106 / 131 ] simplifiying candidate # 1550619435.763 * * * * [misc]progress: [ 107 / 131 ] simplifiying candidate # 1550619435.763 * * * * [misc]progress: [ 108 / 131 ] simplifiying candidate # 1550619435.763 * * * * [misc]progress: [ 109 / 131 ] simplifiying candidate # 1550619435.763 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1550619435.763 * * [misc]simplify: iters left: 2 (3 enodes) 1550619435.763 * * [misc]simplify: iters left: 1 (9 enodes) 1550619435.765 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.765 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619435.765 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619435.765 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550619435.765 * * [misc]simplify: Extracting #4: cost 0 inf + 325 1550619435.765 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1550619435.765 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1550619435.765 * * * * [misc]progress: [ 110 / 131 ] simplifiying candidate # 1550619435.765 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1550619435.765 * * [misc]simplify: iters left: 2 (3 enodes) 1550619435.766 * * [misc]simplify: iters left: 1 (9 enodes) 1550619435.767 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.767 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619435.767 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619435.767 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550619435.767 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1550619435.767 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1550619435.767 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1550619435.767 * * * * [misc]progress: [ 111 / 131 ] simplifiying candidate # 1550619435.767 * [enter]simplify: Simplifying (sqrt k) 1550619435.767 * * [misc]simplify: iters left: 1 (2 enodes) 1550619435.768 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.768 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619435.768 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1550619435.768 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1550619435.768 * [exit]simplify: Simplified to (sqrt k) 1550619435.768 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow (* PI n) (- 1/2 (* 1/2 k))) 1) (sqrt k)))) 1550619435.768 * * * * [misc]progress: [ 112 / 131 ] simplifiying candidate # 1550619435.768 * [enter]simplify: Simplifying (pow (* PI n) 1/2) 1550619435.768 * * [misc]simplify: iters left: 3 (5 enodes) 1550619435.769 * * [misc]simplify: iters left: 2 (17 enodes) 1550619435.772 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.772 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.772 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619435.772 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1550619435.772 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1550619435.772 * [exit]simplify: Simplified to (sqrt (* PI n)) 1550619435.772 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (* PI n)) (/ (sqrt k) (pow (* PI n) (- (* 1/2 k))))))) 1550619435.772 * * * * [misc]progress: [ 113 / 131 ] simplifiying candidate # 1550619435.772 * [enter]simplify: Simplifying (pow (* PI n) 1/2) 1550619435.772 * * [misc]simplify: iters left: 3 (5 enodes) 1550619435.775 * * [misc]simplify: iters left: 2 (17 enodes) 1550619435.779 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.779 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.779 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619435.779 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1550619435.779 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1550619435.780 * [exit]simplify: Simplified to (sqrt (* PI n)) 1550619435.780 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (* PI n)) (/ (sqrt k) (pow (* PI n) (- (* 1/2 k))))))) 1550619435.780 * * * * [misc]progress: [ 114 / 131 ] simplifiying candidate # 1550619435.780 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1550619435.780 * * [misc]simplify: iters left: 5 (6 enodes) 1550619435.782 * * [misc]simplify: iters left: 4 (21 enodes) 1550619435.786 * * [misc]simplify: iters left: 3 (31 enodes) 1550619435.793 * * [misc]simplify: iters left: 2 (38 enodes) 1550619435.802 * * [misc]simplify: iters left: 1 (46 enodes) 1550619435.815 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.815 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.815 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619435.815 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619435.815 * * [misc]simplify: Extracting #4: cost 7 inf + 294 1550619435.816 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1550619435.816 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619435.816 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1550619435.816 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619435.816 * * * * [misc]progress: [ 115 / 131 ] simplifiying candidate # 1550619435.817 * [enter]simplify: Simplifying (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) 1550619435.817 * * [misc]simplify: iters left: 6 (10 enodes) 1550619435.821 * * [misc]simplify: iters left: 5 (34 enodes) 1550619435.829 * * [misc]simplify: iters left: 4 (44 enodes) 1550619435.840 * * [misc]simplify: iters left: 3 (51 enodes) 1550619435.852 * * [misc]simplify: iters left: 2 (59 enodes) 1550619435.871 * * [misc]simplify: iters left: 1 (68 enodes) 1550619435.886 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.887 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619435.887 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619435.887 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550619435.887 * * [misc]simplify: Extracting #4: cost 16 inf + 0 1550619435.887 * * [misc]simplify: Extracting #5: cost 20 inf + 3 1550619435.887 * * [misc]simplify: Extracting #6: cost 12 inf + 297 1550619435.888 * * [misc]simplify: Extracting #7: cost 1 inf + 2618 1550619435.888 * * [misc]simplify: Extracting #8: cost 0 inf + 2992 1550619435.889 * [exit]simplify: Simplified to (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) 1550619435.889 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k))))) (/ (sqrt k) (cbrt (pow (* PI n) (- 1/2 (* 1/2 k)))))))) 1550619435.889 * * * * [misc]progress: [ 116 / 131 ] simplifiying candidate # 1550619435.890 * [enter]simplify: Simplifying (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) 1550619435.890 * * [misc]simplify: iters left: 6 (9 enodes) 1550619435.894 * * [misc]simplify: iters left: 5 (31 enodes) 1550619435.903 * * [misc]simplify: iters left: 4 (41 enodes) 1550619435.914 * * [misc]simplify: iters left: 3 (48 enodes) 1550619435.926 * * [misc]simplify: iters left: 2 (56 enodes) 1550619435.940 * * [misc]simplify: iters left: 1 (65 enodes) 1550619435.952 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.952 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619435.952 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619435.952 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619435.952 * * [misc]simplify: Extracting #4: cost 18 inf + 3 1550619435.953 * * [misc]simplify: Extracting #5: cost 10 inf + 257 1550619435.953 * * [misc]simplify: Extracting #6: cost 4 inf + 840 1550619435.954 * * [misc]simplify: Extracting #7: cost 0 inf + 2004 1550619435.954 * [exit]simplify: Simplified to (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) 1550619435.955 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow (* PI n) (- 1/2 (* 1/2 k)))))))) 1550619435.955 * * * * [misc]progress: [ 117 / 131 ] simplifiying candidate # 1550619435.955 * * * * [misc]progress: [ 118 / 131 ] simplifiying candidate # 1550619435.955 * [enter]simplify: Simplifying (pow (* PI n) 1/2) 1550619435.956 * * [misc]simplify: iters left: 3 (5 enodes) 1550619435.958 * * [misc]simplify: iters left: 2 (17 enodes) 1550619435.963 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619435.964 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619435.964 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619435.964 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1550619435.964 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1550619435.964 * [exit]simplify: Simplified to (sqrt (* PI n)) 1550619435.964 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (* PI n)) (* (sqrt k) (pow (* PI n) (* 1/2 k)))))) 1550619435.964 * * * * [misc]progress: [ 119 / 131 ] simplifiying candidate #real (real->posit16 (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))))> 1550619435.964 * * * * [misc]progress: [ 120 / 131 ] simplifiying candidate # 1550619435.965 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (+ (* 1/4 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (exp (* 1/2 (+ (log PI) (log n))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) k))))) 1550619435.965 * * [misc]simplify: iters left: 6 (36 enodes) 1550619435.982 * * [misc]simplify: iters left: 5 (172 enodes) 1550619436.044 * * [misc]simplify: iters left: 4 (415 enodes) 1550619436.184 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619436.184 * * [misc]simplify: Extracting #1: cost 56 inf + 0 1550619436.185 * * [misc]simplify: Extracting #2: cost 249 inf + 0 1550619436.190 * * [misc]simplify: Extracting #3: cost 376 inf + 117 1550619436.197 * * [misc]simplify: Extracting #4: cost 232 inf + 45405 1550619436.245 * * [misc]simplify: Extracting #5: cost 26 inf + 142626 1550619436.313 * * [misc]simplify: Extracting #6: cost 0 inf + 158017 1550619436.350 * * [misc]simplify: Extracting #7: cost 0 inf + 156226 1550619436.386 * * [misc]simplify: Extracting #8: cost 0 inf + 155861 1550619436.426 * [exit]simplify: Simplified to (+ (* (sqrt (exp (+ (log PI) (log n)))) (+ (* (* 1/4 (* (* k k) (log n))) (log PI)) (* (* 1/8 (* (* k k) (log n))) (log n)))) (+ (+ (* 1/8 (* (* (* k k) (* (log PI) (log PI))) (sqrt (exp (+ (log PI) (log n)))))) (sqrt (exp (+ (log PI) (log n))))) (* (* (* (sqrt (exp (+ (log PI) (log n)))) (+ (log PI) (log n))) k) -1/2))) 1550619436.426 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (+ (* (sqrt (exp (+ (log PI) (log n)))) (+ (* (* 1/4 (* (* k k) (log n))) (log PI)) (* (* 1/8 (* (* k k) (log n))) (log n)))) (+ (+ (* 1/8 (* (* (* k k) (* (log PI) (log PI))) (sqrt (exp (+ (log PI) (log n)))))) (sqrt (exp (+ (log PI) (log n))))) (* (* (* (sqrt (exp (+ (log PI) (log n)))) (+ (log PI) (log n))) k) -1/2))) (sqrt k)))) 1550619436.426 * * * * [misc]progress: [ 121 / 131 ] simplifiying candidate # 1550619436.426 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) 1550619436.426 * * [misc]simplify: iters left: 6 (13 enodes) 1550619436.430 * * [misc]simplify: iters left: 5 (53 enodes) 1550619436.440 * * [misc]simplify: iters left: 4 (89 enodes) 1550619436.456 * * [misc]simplify: iters left: 3 (192 enodes) 1550619436.500 * * [misc]simplify: iters left: 2 (493 enodes) 1550619436.709 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619436.710 * * [misc]simplify: Extracting #1: cost 50 inf + 0 1550619436.710 * * [misc]simplify: Extracting #2: cost 196 inf + 1 1550619436.713 * * [misc]simplify: Extracting #3: cost 252 inf + 2908 1550619436.721 * * [misc]simplify: Extracting #4: cost 113 inf + 35741 1550619436.733 * * [misc]simplify: Extracting #5: cost 10 inf + 63565 1550619436.747 * * [misc]simplify: Extracting #6: cost 0 inf + 66477 1550619436.762 * [exit]simplify: Simplified to (/ (sqrt (* n PI)) (pow (sqrt (* n PI)) k)) 1550619436.762 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (sqrt (* n PI)) (pow (sqrt (* n PI)) k)) (sqrt k)))) 1550619436.762 * * * * [misc]progress: [ 122 / 131 ] simplifiying candidate # 1550619436.762 * [enter]simplify: Simplifying (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) 1550619436.762 * * [misc]simplify: iters left: 6 (14 enodes) 1550619436.766 * * [misc]simplify: iters left: 5 (57 enodes) 1550619436.775 * * [misc]simplify: iters left: 4 (106 enodes) 1550619436.795 * * [misc]simplify: iters left: 3 (282 enodes) 1550619436.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619436.900 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550619436.901 * * [misc]simplify: Extracting #2: cost 141 inf + 0 1550619436.906 * * [misc]simplify: Extracting #3: cost 307 inf + 47 1550619436.908 * * [misc]simplify: Extracting #4: cost 222 inf + 14908 1550619436.918 * * [misc]simplify: Extracting #5: cost 34 inf + 60897 1550619436.931 * * [misc]simplify: Extracting #6: cost 0 inf + 68110 1550619436.954 * * [misc]simplify: Extracting #7: cost 0 inf + 68070 1550619436.976 * [exit]simplify: Simplified to (pow (* (* PI 1) n) (- 1/2 (* k 1/2))) 1550619436.976 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* (* PI 1) n) (- 1/2 (* k 1/2))) (sqrt k)))) 1550619436.977 * * * * [misc]progress: [ 123 / 131 ] simplifiying candidate # 1550619436.977 * [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))))))))))))))) 1550619436.977 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619436.977 * * * * [misc]progress: [ 124 / 131 ] simplifiying candidate # 1550619436.978 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1550619436.978 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619436.978 * * * * [misc]progress: [ 125 / 131 ] simplifiying candidate # 1550619436.978 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))))))) 1550619436.978 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619436.978 * * * * [misc]progress: [ 126 / 131 ] simplifiying candidate # 1550619436.978 * [enter]simplify: Simplifying (* n PI) 1550619436.979 * * [misc]simplify: iters left: 2 (3 enodes) 1550619436.980 * * [misc]simplify: iters left: 1 (10 enodes) 1550619436.982 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619436.982 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619436.982 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619436.982 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550619436.982 * [exit]simplify: Simplified to (* n PI) 1550619436.982 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* n PI) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619436.982 * * * * [misc]progress: [ 127 / 131 ] simplifiying candidate # 1550619436.982 * [enter]simplify: Simplifying (* n PI) 1550619436.983 * * [misc]simplify: iters left: 2 (3 enodes) 1550619436.984 * * [misc]simplify: iters left: 1 (10 enodes) 1550619436.986 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619436.986 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619436.986 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619436.986 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550619436.986 * [exit]simplify: Simplified to (* n PI) 1550619436.986 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* n PI) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619436.986 * * * * [misc]progress: [ 128 / 131 ] simplifiying candidate # 1550619436.986 * [enter]simplify: Simplifying (* n PI) 1550619436.986 * * [misc]simplify: iters left: 2 (3 enodes) 1550619436.987 * * [misc]simplify: iters left: 1 (10 enodes) 1550619436.989 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619436.989 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619436.990 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619436.990 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550619436.990 * [exit]simplify: Simplified to (* n PI) 1550619436.990 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* n PI) (- 1/2 (* 1/2 k))) (sqrt k)))) 1550619436.990 * * * * [misc]progress: [ 129 / 131 ] simplifiying candidate # 1550619436.990 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (pow k 2))))))))))))))))))))))) 1550619436.990 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) +nan.0)) 1550619436.991 * * * * [misc]progress: [ 130 / 131 ] simplifiying candidate # 1550619436.991 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (pow k 3)))))))) 1550619436.991 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) +nan.0)) 1550619436.991 * * * * [misc]progress: [ 131 / 131 ] simplifiying candidate # 1550619436.992 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))))))))) 1550619436.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) +nan.0)) 1550619436.992 * * * [misc]progress: adding candidates to table 1550619438.429 * * [misc]progress: iteration 4 / 4 1550619438.429 * * * [misc]progress: picking best candidate 1550619438.469 * * * * [misc]pick: Picked # 1550619438.469 * * * [misc]progress: localizing error 1550619438.502 * * * [misc]progress: generating rewritten candidates 1550619438.502 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) 1550619438.503 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) 1550619438.504 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1550619438.516 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1550619438.535 * * * [misc]progress: generating series expansions 1550619438.535 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) 1550619438.535 * [misc]backup-simplify: Simplify (pow n (- 1/2 (* 1/2 k))) into (pow n (- 1/2 (* 1/2 k))) 1550619438.535 * [misc]approximate: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0 1550619438.535 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1550619438.535 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1550619438.535 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1550619438.535 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.535 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.535 * [misc]taylor: Taking taylor expansion of k in k 1550619438.535 * [misc]backup-simplify: Simplify 0 into 0 1550619438.535 * [misc]backup-simplify: Simplify 1 into 1 1550619438.535 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619438.535 * [misc]taylor: Taking taylor expansion of n in k 1550619438.535 * [misc]backup-simplify: Simplify n into n 1550619438.535 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619438.536 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.536 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.536 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.536 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550619438.536 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550619438.536 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1550619438.536 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1550619438.536 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1550619438.536 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619438.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.537 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619438.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.537 * [misc]taylor: Taking taylor expansion of k in n 1550619438.537 * [misc]backup-simplify: Simplify k into k 1550619438.537 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619438.537 * [misc]taylor: Taking taylor expansion of n in n 1550619438.537 * [misc]backup-simplify: Simplify 0 into 0 1550619438.537 * [misc]backup-simplify: Simplify 1 into 1 1550619438.537 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.537 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619438.537 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619438.537 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619438.537 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.537 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1550619438.538 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1550619438.538 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1550619438.538 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1550619438.538 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1550619438.538 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619438.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.538 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619438.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.538 * [misc]taylor: Taking taylor expansion of k in n 1550619438.538 * [misc]backup-simplify: Simplify k into k 1550619438.538 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619438.538 * [misc]taylor: Taking taylor expansion of n in n 1550619438.538 * [misc]backup-simplify: Simplify 0 into 0 1550619438.538 * [misc]backup-simplify: Simplify 1 into 1 1550619438.538 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.538 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619438.538 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619438.538 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619438.539 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.539 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1550619438.539 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1550619438.539 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1550619438.539 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1550619438.539 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1550619438.539 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.539 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.539 * [misc]taylor: Taking taylor expansion of k in k 1550619438.539 * [misc]backup-simplify: Simplify 0 into 0 1550619438.539 * [misc]backup-simplify: Simplify 1 into 1 1550619438.539 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619438.539 * [misc]taylor: Taking taylor expansion of n in k 1550619438.540 * [misc]backup-simplify: Simplify n into n 1550619438.540 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619438.540 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.540 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.540 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.540 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550619438.540 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550619438.540 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1550619438.542 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550619438.542 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1550619438.542 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.542 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.542 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1550619438.543 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619438.543 * [misc]taylor: Taking taylor expansion of 0 in k 1550619438.543 * [misc]backup-simplify: Simplify 0 into 0 1550619438.543 * [misc]backup-simplify: Simplify 0 into 0 1550619438.544 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550619438.544 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619438.544 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.544 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.544 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1550619438.544 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1550619438.545 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1550619438.547 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1550619438.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550619438.547 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.548 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.548 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1550619438.549 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550619438.549 * [misc]taylor: Taking taylor expansion of 0 in k 1550619438.549 * [misc]backup-simplify: Simplify 0 into 0 1550619438.549 * [misc]backup-simplify: Simplify 0 into 0 1550619438.549 * [misc]backup-simplify: Simplify 0 into 0 1550619438.550 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550619438.550 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619438.550 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.550 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.550 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1550619438.551 * [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))) 1550619438.551 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1550619438.552 * [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)))) 1550619438.552 * [misc]backup-simplify: Simplify (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.552 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1550619438.552 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619438.552 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1550619438.552 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1550619438.552 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.552 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.552 * [misc]taylor: Taking taylor expansion of k in k 1550619438.552 * [misc]backup-simplify: Simplify 0 into 0 1550619438.552 * [misc]backup-simplify: Simplify 1 into 1 1550619438.552 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.552 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550619438.552 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550619438.552 * [misc]taylor: Taking taylor expansion of n in k 1550619438.552 * [misc]backup-simplify: Simplify n into n 1550619438.552 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550619438.552 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550619438.552 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.553 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.553 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.553 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550619438.553 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.553 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.553 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619438.553 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619438.553 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.553 * [misc]taylor: Taking taylor expansion of k in n 1550619438.553 * [misc]backup-simplify: Simplify k into k 1550619438.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.553 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619438.553 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619438.553 * [misc]taylor: Taking taylor expansion of n in n 1550619438.553 * [misc]backup-simplify: Simplify 0 into 0 1550619438.553 * [misc]backup-simplify: Simplify 1 into 1 1550619438.553 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.553 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.553 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.553 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.554 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619438.554 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619438.554 * [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)))) 1550619438.554 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.554 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619438.554 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619438.554 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.554 * [misc]taylor: Taking taylor expansion of k in n 1550619438.554 * [misc]backup-simplify: Simplify k into k 1550619438.554 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.554 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619438.554 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619438.554 * [misc]taylor: Taking taylor expansion of n in n 1550619438.554 * [misc]backup-simplify: Simplify 0 into 0 1550619438.554 * [misc]backup-simplify: Simplify 1 into 1 1550619438.554 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.554 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.554 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.554 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.555 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619438.555 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619438.555 * [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)))) 1550619438.555 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1550619438.555 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1550619438.555 * [misc]taylor: Taking taylor expansion of -1 in k 1550619438.555 * [misc]backup-simplify: Simplify -1 into -1 1550619438.555 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1550619438.555 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.555 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.555 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.555 * [misc]taylor: Taking taylor expansion of k in k 1550619438.555 * [misc]backup-simplify: Simplify 0 into 0 1550619438.555 * [misc]backup-simplify: Simplify 1 into 1 1550619438.555 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.555 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619438.555 * [misc]taylor: Taking taylor expansion of n in k 1550619438.555 * [misc]backup-simplify: Simplify n into n 1550619438.555 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619438.555 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.556 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.556 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.556 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1550619438.556 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1550619438.556 * [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)))) 1550619438.556 * [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)))) 1550619438.556 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550619438.558 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550619438.558 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619438.558 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619438.558 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.558 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.558 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619438.558 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1550619438.559 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619438.559 * [misc]taylor: Taking taylor expansion of 0 in k 1550619438.559 * [misc]backup-simplify: Simplify 0 into 0 1550619438.559 * [misc]backup-simplify: Simplify 0 into 0 1550619438.559 * [misc]backup-simplify: Simplify 0 into 0 1550619438.559 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619438.562 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1550619438.562 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619438.562 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619438.562 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.562 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.562 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619438.563 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1550619438.564 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550619438.564 * [misc]taylor: Taking taylor expansion of 0 in k 1550619438.564 * [misc]backup-simplify: Simplify 0 into 0 1550619438.564 * [misc]backup-simplify: Simplify 0 into 0 1550619438.564 * [misc]backup-simplify: Simplify 0 into 0 1550619438.564 * [misc]backup-simplify: Simplify 0 into 0 1550619438.564 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619438.573 * [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 1550619438.573 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619438.574 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619438.574 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619438.575 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1550619438.578 * [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 1550619438.578 * [misc]taylor: Taking taylor expansion of 0 in k 1550619438.578 * [misc]backup-simplify: Simplify 0 into 0 1550619438.578 * [misc]backup-simplify: Simplify 0 into 0 1550619438.579 * [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))))) 1550619438.579 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619438.579 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1550619438.579 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619438.579 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1550619438.579 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1550619438.579 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619438.579 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.579 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.579 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.579 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.579 * [misc]taylor: Taking taylor expansion of k in k 1550619438.579 * [misc]backup-simplify: Simplify 0 into 0 1550619438.579 * [misc]backup-simplify: Simplify 1 into 1 1550619438.579 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.579 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.579 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.579 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550619438.579 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550619438.579 * [misc]taylor: Taking taylor expansion of -1 in k 1550619438.579 * [misc]backup-simplify: Simplify -1 into -1 1550619438.579 * [misc]taylor: Taking taylor expansion of n in k 1550619438.579 * [misc]backup-simplify: Simplify n into n 1550619438.580 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550619438.580 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550619438.580 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.580 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.580 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550619438.580 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619438.580 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619438.580 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619438.580 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619438.580 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619438.580 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.580 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.580 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.580 * [misc]taylor: Taking taylor expansion of k in n 1550619438.581 * [misc]backup-simplify: Simplify k into k 1550619438.581 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.581 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619438.581 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619438.581 * [misc]taylor: Taking taylor expansion of -1 in n 1550619438.581 * [misc]backup-simplify: Simplify -1 into -1 1550619438.581 * [misc]taylor: Taking taylor expansion of n in n 1550619438.581 * [misc]backup-simplify: Simplify 0 into 0 1550619438.581 * [misc]backup-simplify: Simplify 1 into 1 1550619438.581 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619438.581 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619438.581 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.581 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619438.582 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619438.582 * [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))) 1550619438.582 * [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)))) 1550619438.582 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619438.582 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619438.582 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619438.582 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619438.582 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.582 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.583 * [misc]taylor: Taking taylor expansion of k in n 1550619438.583 * [misc]backup-simplify: Simplify k into k 1550619438.583 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.583 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619438.583 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619438.583 * [misc]taylor: Taking taylor expansion of -1 in n 1550619438.583 * [misc]backup-simplify: Simplify -1 into -1 1550619438.583 * [misc]taylor: Taking taylor expansion of n in n 1550619438.583 * [misc]backup-simplify: Simplify 0 into 0 1550619438.583 * [misc]backup-simplify: Simplify 1 into 1 1550619438.583 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619438.583 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619438.583 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.583 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619438.584 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619438.584 * [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))) 1550619438.584 * [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)))) 1550619438.584 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1550619438.584 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1550619438.584 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619438.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.585 * [misc]taylor: Taking taylor expansion of k in k 1550619438.585 * [misc]backup-simplify: Simplify 0 into 0 1550619438.585 * [misc]backup-simplify: Simplify 1 into 1 1550619438.585 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.585 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1550619438.585 * [misc]taylor: Taking taylor expansion of (log -1) in k 1550619438.585 * [misc]taylor: Taking taylor expansion of -1 in k 1550619438.585 * [misc]backup-simplify: Simplify -1 into -1 1550619438.585 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619438.585 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619438.585 * [misc]taylor: Taking taylor expansion of n in k 1550619438.585 * [misc]backup-simplify: Simplify n into n 1550619438.585 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619438.586 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.586 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.586 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550619438.586 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1550619438.586 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1550619438.587 * [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)))) 1550619438.587 * [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)))) 1550619438.587 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550619438.590 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1550619438.590 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619438.590 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619438.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619438.591 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1550619438.592 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619438.593 * [misc]taylor: Taking taylor expansion of 0 in k 1550619438.593 * [misc]backup-simplify: Simplify 0 into 0 1550619438.593 * [misc]backup-simplify: Simplify 0 into 0 1550619438.593 * [misc]backup-simplify: Simplify 0 into 0 1550619438.593 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619438.597 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1550619438.597 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619438.598 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550619438.598 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.598 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619438.599 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1550619438.601 * [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 1550619438.601 * [misc]taylor: Taking taylor expansion of 0 in k 1550619438.601 * [misc]backup-simplify: Simplify 0 into 0 1550619438.601 * [misc]backup-simplify: Simplify 0 into 0 1550619438.601 * [misc]backup-simplify: Simplify 0 into 0 1550619438.601 * [misc]backup-simplify: Simplify 0 into 0 1550619438.601 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619438.607 * [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 1550619438.608 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550619438.608 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550619438.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.609 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619438.609 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1550619438.613 * [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 1550619438.613 * [misc]taylor: Taking taylor expansion of 0 in k 1550619438.613 * [misc]backup-simplify: Simplify 0 into 0 1550619438.613 * [misc]backup-simplify: Simplify 0 into 0 1550619438.613 * [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))))) 1550619438.613 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) 1550619438.613 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 k))) into (pow PI (- 1/2 (* 1/2 k))) 1550619438.613 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1550619438.613 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1550619438.613 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1550619438.613 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1550619438.613 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.614 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.614 * [misc]taylor: Taking taylor expansion of k in k 1550619438.614 * [misc]backup-simplify: Simplify 0 into 0 1550619438.614 * [misc]backup-simplify: Simplify 1 into 1 1550619438.614 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.614 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.614 * [misc]backup-simplify: Simplify PI into PI 1550619438.614 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.614 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.614 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.615 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.615 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619438.616 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550619438.616 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1550619438.616 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1550619438.616 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1550619438.616 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.616 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.616 * [misc]taylor: Taking taylor expansion of k in k 1550619438.616 * [misc]backup-simplify: Simplify 0 into 0 1550619438.616 * [misc]backup-simplify: Simplify 1 into 1 1550619438.616 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.616 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.616 * [misc]backup-simplify: Simplify PI into PI 1550619438.616 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.617 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.617 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.617 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.617 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619438.618 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550619438.618 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1550619438.621 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619438.621 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619438.621 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.621 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.622 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1550619438.625 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1550619438.626 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1550619438.631 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550619438.631 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619438.631 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.631 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1550619438.637 * [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))) 1550619438.638 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1550619438.641 * [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)))) 1550619438.641 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.641 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1550619438.641 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619438.641 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1550619438.641 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1550619438.641 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.641 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.641 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.641 * [misc]taylor: Taking taylor expansion of k in k 1550619438.642 * [misc]backup-simplify: Simplify 0 into 0 1550619438.642 * [misc]backup-simplify: Simplify 1 into 1 1550619438.642 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.642 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.642 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.642 * [misc]backup-simplify: Simplify PI into PI 1550619438.642 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.643 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.643 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.643 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.643 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550619438.644 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.644 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619438.644 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1550619438.644 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1550619438.644 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.644 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.644 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.644 * [misc]taylor: Taking taylor expansion of k in k 1550619438.644 * [misc]backup-simplify: Simplify 0 into 0 1550619438.644 * [misc]backup-simplify: Simplify 1 into 1 1550619438.644 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.644 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.644 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.644 * [misc]backup-simplify: Simplify PI into PI 1550619438.645 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.645 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.645 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.645 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.646 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550619438.646 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.646 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.646 * [misc]backup-simplify: Simplify 0 into 0 1550619438.646 * [misc]backup-simplify: Simplify 0 into 0 1550619438.646 * [misc]backup-simplify: Simplify 0 into 0 1550619438.646 * [misc]backup-simplify: Simplify 0 into 0 1550619438.646 * [misc]backup-simplify: Simplify 0 into 0 1550619438.646 * [misc]backup-simplify: Simplify 0 into 0 1550619438.647 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1550619438.647 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619438.647 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1550619438.647 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619438.647 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1550619438.647 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1550619438.647 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619438.647 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.647 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.647 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.647 * [misc]taylor: Taking taylor expansion of k in k 1550619438.647 * [misc]backup-simplify: Simplify 0 into 0 1550619438.647 * [misc]backup-simplify: Simplify 1 into 1 1550619438.647 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.647 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.647 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.647 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.647 * [misc]backup-simplify: Simplify PI into PI 1550619438.648 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.648 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.648 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.649 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619438.649 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619438.649 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619438.649 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1550619438.649 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1550619438.649 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619438.649 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.649 * [misc]taylor: Taking taylor expansion of k in k 1550619438.649 * [misc]backup-simplify: Simplify 0 into 0 1550619438.649 * [misc]backup-simplify: Simplify 1 into 1 1550619438.649 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.650 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.650 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.650 * [misc]backup-simplify: Simplify PI into PI 1550619438.650 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.650 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.650 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.651 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619438.651 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619438.651 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619438.651 * [misc]backup-simplify: Simplify 0 into 0 1550619438.651 * [misc]backup-simplify: Simplify 0 into 0 1550619438.651 * [misc]backup-simplify: Simplify 0 into 0 1550619438.651 * [misc]backup-simplify: Simplify 0 into 0 1550619438.651 * [misc]backup-simplify: Simplify 0 into 0 1550619438.651 * [misc]backup-simplify: Simplify 0 into 0 1550619438.652 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1550619438.652 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1550619438.652 * [misc]backup-simplify: Simplify (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) into (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) 1550619438.652 * [misc]approximate: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in (k n) around 0 1550619438.652 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in n 1550619438.652 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1550619438.652 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1550619438.652 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1550619438.652 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1550619438.652 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619438.652 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.652 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619438.652 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.652 * [misc]taylor: Taking taylor expansion of k in n 1550619438.652 * [misc]backup-simplify: Simplify k into k 1550619438.652 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619438.652 * [misc]taylor: Taking taylor expansion of n in n 1550619438.653 * [misc]backup-simplify: Simplify 0 into 0 1550619438.653 * [misc]backup-simplify: Simplify 1 into 1 1550619438.653 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.653 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619438.653 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619438.653 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619438.653 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.653 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1550619438.653 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1550619438.653 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1550619438.653 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1550619438.654 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1550619438.654 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1550619438.654 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619438.654 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.654 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619438.654 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.654 * [misc]taylor: Taking taylor expansion of k in n 1550619438.654 * [misc]backup-simplify: Simplify k into k 1550619438.654 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619438.654 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.654 * [misc]backup-simplify: Simplify 2 into 2 1550619438.654 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.654 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619438.654 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619438.654 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619438.654 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1550619438.655 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1550619438.655 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1550619438.655 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1550619438.655 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1550619438.655 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619438.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.655 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619438.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.655 * [misc]taylor: Taking taylor expansion of k in n 1550619438.655 * [misc]backup-simplify: Simplify k into k 1550619438.655 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619438.655 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.655 * [misc]backup-simplify: Simplify PI into PI 1550619438.656 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.656 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619438.656 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619438.656 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619438.656 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1550619438.656 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1550619438.656 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550619438.657 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.657 * [misc]taylor: Taking taylor expansion of k in n 1550619438.657 * [misc]backup-simplify: Simplify k into k 1550619438.657 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.657 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550619438.657 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619438.657 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550619438.657 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k 1550619438.657 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1550619438.657 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1550619438.657 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1550619438.657 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1550619438.657 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.657 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.657 * [misc]taylor: Taking taylor expansion of k in k 1550619438.657 * [misc]backup-simplify: Simplify 0 into 0 1550619438.657 * [misc]backup-simplify: Simplify 1 into 1 1550619438.657 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619438.657 * [misc]taylor: Taking taylor expansion of n in k 1550619438.657 * [misc]backup-simplify: Simplify n into n 1550619438.657 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619438.658 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.658 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.658 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.658 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550619438.658 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550619438.658 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1550619438.658 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1550619438.658 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1550619438.658 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1550619438.658 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.658 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.658 * [misc]taylor: Taking taylor expansion of k in k 1550619438.658 * [misc]backup-simplify: Simplify 0 into 0 1550619438.658 * [misc]backup-simplify: Simplify 1 into 1 1550619438.658 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619438.659 * [misc]taylor: Taking taylor expansion of 2 in k 1550619438.659 * [misc]backup-simplify: Simplify 2 into 2 1550619438.659 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.659 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.659 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.659 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.659 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550619438.660 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1550619438.660 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1550619438.660 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1550619438.660 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1550619438.660 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.660 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.660 * [misc]taylor: Taking taylor expansion of k in k 1550619438.660 * [misc]backup-simplify: Simplify 0 into 0 1550619438.660 * [misc]backup-simplify: Simplify 1 into 1 1550619438.660 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.660 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.660 * [misc]backup-simplify: Simplify PI into PI 1550619438.661 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.661 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.661 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.661 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.662 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619438.662 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550619438.662 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619438.662 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.662 * [misc]taylor: Taking taylor expansion of k in k 1550619438.662 * [misc]backup-simplify: Simplify 0 into 0 1550619438.662 * [misc]backup-simplify: Simplify 1 into 1 1550619438.663 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.663 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.663 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619438.663 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k 1550619438.663 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1550619438.663 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1550619438.663 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1550619438.663 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1550619438.663 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.663 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.664 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.664 * [misc]taylor: Taking taylor expansion of k in k 1550619438.664 * [misc]backup-simplify: Simplify 0 into 0 1550619438.664 * [misc]backup-simplify: Simplify 1 into 1 1550619438.664 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619438.664 * [misc]taylor: Taking taylor expansion of n in k 1550619438.664 * [misc]backup-simplify: Simplify n into n 1550619438.664 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619438.664 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.664 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.664 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.664 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550619438.664 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550619438.664 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1550619438.665 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1550619438.665 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1550619438.665 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1550619438.665 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.665 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.665 * [misc]taylor: Taking taylor expansion of k in k 1550619438.665 * [misc]backup-simplify: Simplify 0 into 0 1550619438.665 * [misc]backup-simplify: Simplify 1 into 1 1550619438.665 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619438.665 * [misc]taylor: Taking taylor expansion of 2 in k 1550619438.665 * [misc]backup-simplify: Simplify 2 into 2 1550619438.665 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.665 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.665 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.666 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.666 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550619438.666 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1550619438.666 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1550619438.667 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1550619438.667 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1550619438.667 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619438.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.667 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619438.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.667 * [misc]taylor: Taking taylor expansion of k in k 1550619438.667 * [misc]backup-simplify: Simplify 0 into 0 1550619438.667 * [misc]backup-simplify: Simplify 1 into 1 1550619438.667 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.667 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.667 * [misc]backup-simplify: Simplify PI into PI 1550619438.667 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.667 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619438.668 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.668 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619438.668 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619438.669 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550619438.669 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619438.669 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.669 * [misc]taylor: Taking taylor expansion of k in k 1550619438.669 * [misc]backup-simplify: Simplify 0 into 0 1550619438.669 * [misc]backup-simplify: Simplify 1 into 1 1550619438.669 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.670 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.670 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619438.671 * [misc]backup-simplify: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 1550619438.671 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 1550619438.671 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 1550619438.672 * [misc]taylor: Taking taylor expansion of 0 in n 1550619438.672 * [misc]backup-simplify: Simplify 0 into 0 1550619438.672 * [misc]backup-simplify: Simplify 0 into 0 1550619438.674 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619438.674 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619438.674 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.674 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.675 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1550619438.678 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1550619438.681 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550619438.681 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619438.681 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.681 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1550619438.685 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1550619438.688 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 1550619438.689 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550619438.689 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619438.690 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.690 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.690 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1550619438.690 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1550619438.695 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1550619438.698 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1550619438.698 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1550619438.698 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550619438.698 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.698 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.698 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550619438.698 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.698 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.698 * [misc]backup-simplify: Simplify 2 into 2 1550619438.698 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.698 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.698 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.698 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.698 * [misc]taylor: Taking taylor expansion of n in n 1550619438.699 * [misc]backup-simplify: Simplify 0 into 0 1550619438.699 * [misc]backup-simplify: Simplify 1 into 1 1550619438.699 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.699 * [misc]backup-simplify: Simplify PI into PI 1550619438.699 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.699 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.700 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.700 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.700 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550619438.700 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.701 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.701 * [misc]backup-simplify: Simplify 0 into 0 1550619438.701 * [misc]backup-simplify: Simplify 0 into 0 1550619438.701 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550619438.702 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619438.706 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550619438.707 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619438.707 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.708 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1550619438.712 * [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))) 1550619438.716 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1550619438.716 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619438.716 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1550619438.720 * [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))) 1550619438.725 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 1550619438.726 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550619438.726 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619438.726 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.726 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.726 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1550619438.727 * [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))) 1550619438.736 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1550619438.742 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 1550619438.742 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) in n 1550619438.742 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))) in n 1550619438.742 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550619438.742 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.742 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.742 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1550619438.742 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1550619438.742 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619438.742 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.742 * [misc]backup-simplify: Simplify 2 into 2 1550619438.742 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.742 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.742 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.742 * [misc]backup-simplify: Simplify 2 into 2 1550619438.743 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.743 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.743 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.743 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.743 * [misc]taylor: Taking taylor expansion of n in n 1550619438.743 * [misc]backup-simplify: Simplify 0 into 0 1550619438.743 * [misc]backup-simplify: Simplify 1 into 1 1550619438.743 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.743 * [misc]backup-simplify: Simplify PI into PI 1550619438.743 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.743 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.744 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.744 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.744 * [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 n)) (sqrt (* n PI))))))))) in n 1550619438.744 * [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 n)) (sqrt (* n PI)))))))) in n 1550619438.744 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1550619438.744 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.744 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.744 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1550619438.744 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1550619438.744 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.744 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.744 * [misc]backup-simplify: Simplify 2 into 2 1550619438.744 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.744 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.744 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619438.744 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.744 * [misc]backup-simplify: Simplify PI into PI 1550619438.744 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.744 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550619438.744 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550619438.745 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.745 * [misc]backup-simplify: Simplify PI into PI 1550619438.745 * [misc]taylor: Taking taylor expansion of n in n 1550619438.745 * [misc]backup-simplify: Simplify 0 into 0 1550619438.745 * [misc]backup-simplify: Simplify 1 into 1 1550619438.745 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550619438.745 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550619438.745 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.745 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.745 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1550619438.746 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1550619438.746 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550619438.746 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.746 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.746 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550619438.746 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.746 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.746 * [misc]backup-simplify: Simplify 2 into 2 1550619438.746 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.746 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.746 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.746 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.746 * [misc]taylor: Taking taylor expansion of n in n 1550619438.746 * [misc]backup-simplify: Simplify 0 into 0 1550619438.746 * [misc]backup-simplify: Simplify 1 into 1 1550619438.746 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.746 * [misc]backup-simplify: Simplify PI into PI 1550619438.746 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.747 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.747 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.747 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.747 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1550619438.747 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1550619438.747 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.747 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.747 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1550619438.747 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1550619438.747 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.747 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.747 * [misc]backup-simplify: Simplify 2 into 2 1550619438.747 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.747 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.747 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619438.747 * [misc]taylor: Taking taylor expansion of n in n 1550619438.747 * [misc]backup-simplify: Simplify 0 into 0 1550619438.747 * [misc]backup-simplify: Simplify 1 into 1 1550619438.747 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.747 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.747 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.748 * [misc]taylor: Taking taylor expansion of n in n 1550619438.748 * [misc]backup-simplify: Simplify 0 into 0 1550619438.748 * [misc]backup-simplify: Simplify 1 into 1 1550619438.748 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.748 * [misc]backup-simplify: Simplify PI into PI 1550619438.748 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.748 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.748 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.748 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.749 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1550619438.749 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1550619438.749 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.749 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1550619438.750 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1550619438.750 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.750 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550619438.750 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.750 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.751 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1550619438.751 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1550619438.751 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.751 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.751 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.751 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.751 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.751 * [misc]backup-simplify: Simplify 0 into 0 1550619438.752 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619438.753 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619438.754 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619438.755 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619438.755 * [misc]backup-simplify: Simplify 0 into 0 1550619438.755 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619438.755 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619438.762 * [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 1550619438.762 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619438.762 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.762 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.764 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1550619438.771 * [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))) 1550619438.777 * [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 1550619438.778 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619438.778 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.778 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.778 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1550619438.784 * [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))) 1550619438.797 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))))))) 1550619438.800 * [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 1550619438.800 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619438.800 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.800 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.801 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1550619438.802 * [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))) 1550619438.830 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI)))))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt (* PI 2)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 1550619438.857 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 1550619438.858 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) in n 1550619438.858 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))) in n 1550619438.858 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1550619438.858 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.858 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.858 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1550619438.858 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1550619438.858 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.858 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.858 * [misc]backup-simplify: Simplify 2 into 2 1550619438.858 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.859 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.859 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1550619438.859 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619438.859 * [misc]taylor: Taking taylor expansion of n in n 1550619438.859 * [misc]backup-simplify: Simplify 0 into 0 1550619438.859 * [misc]backup-simplify: Simplify 1 into 1 1550619438.859 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.859 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.859 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.859 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.859 * [misc]taylor: Taking taylor expansion of n in n 1550619438.859 * [misc]backup-simplify: Simplify 0 into 0 1550619438.859 * [misc]backup-simplify: Simplify 1 into 1 1550619438.859 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.859 * [misc]backup-simplify: Simplify PI into PI 1550619438.860 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.860 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.860 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.861 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.861 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))) in n 1550619438.861 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))) in n 1550619438.861 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1550619438.861 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.861 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.861 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1550619438.861 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1550619438.861 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.861 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.861 * [misc]backup-simplify: Simplify 2 into 2 1550619438.861 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.862 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.862 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1550619438.862 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619438.862 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.862 * [misc]backup-simplify: Simplify PI into PI 1550619438.862 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.862 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550619438.862 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550619438.862 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.862 * [misc]backup-simplify: Simplify PI into PI 1550619438.862 * [misc]taylor: Taking taylor expansion of n in n 1550619438.862 * [misc]backup-simplify: Simplify 0 into 0 1550619438.862 * [misc]backup-simplify: Simplify 1 into 1 1550619438.863 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550619438.863 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550619438.863 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.864 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.864 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))) in n 1550619438.864 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))) in n 1550619438.864 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550619438.864 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.864 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.864 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1550619438.864 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1550619438.864 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1550619438.864 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619438.864 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.864 * [misc]backup-simplify: Simplify 2 into 2 1550619438.864 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.865 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.865 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.865 * [misc]backup-simplify: Simplify 2 into 2 1550619438.865 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.865 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.865 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.865 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.865 * [misc]taylor: Taking taylor expansion of n in n 1550619438.865 * [misc]backup-simplify: Simplify 0 into 0 1550619438.865 * [misc]backup-simplify: Simplify 1 into 1 1550619438.865 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.865 * [misc]backup-simplify: Simplify PI into PI 1550619438.865 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.866 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.866 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.867 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.867 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))) in n 1550619438.867 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))) in n 1550619438.867 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550619438.867 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.867 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.867 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550619438.867 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.867 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.867 * [misc]backup-simplify: Simplify 2 into 2 1550619438.867 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.867 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.867 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.867 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.867 * [misc]taylor: Taking taylor expansion of n in n 1550619438.867 * [misc]backup-simplify: Simplify 0 into 0 1550619438.867 * [misc]backup-simplify: Simplify 1 into 1 1550619438.867 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.868 * [misc]backup-simplify: Simplify PI into PI 1550619438.868 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.868 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.869 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.869 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.869 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))) in n 1550619438.869 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))) in n 1550619438.869 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1550619438.869 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.869 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.869 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1550619438.869 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1550619438.869 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.869 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.869 * [misc]backup-simplify: Simplify 2 into 2 1550619438.869 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.870 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.870 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619438.870 * [misc]taylor: Taking taylor expansion of n in n 1550619438.870 * [misc]backup-simplify: Simplify 0 into 0 1550619438.870 * [misc]backup-simplify: Simplify 1 into 1 1550619438.870 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.870 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.870 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.870 * [misc]taylor: Taking taylor expansion of n in n 1550619438.870 * [misc]backup-simplify: Simplify 0 into 0 1550619438.870 * [misc]backup-simplify: Simplify 1 into 1 1550619438.870 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.870 * [misc]backup-simplify: Simplify PI into PI 1550619438.870 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.871 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.872 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.872 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))) in n 1550619438.872 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))) in n 1550619438.872 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1550619438.872 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.872 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.872 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1550619438.872 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1550619438.872 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.872 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.872 * [misc]backup-simplify: Simplify 2 into 2 1550619438.872 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.872 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.872 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619438.872 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.872 * [misc]backup-simplify: Simplify PI into PI 1550619438.873 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.873 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550619438.873 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550619438.873 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.873 * [misc]backup-simplify: Simplify PI into PI 1550619438.873 * [misc]taylor: Taking taylor expansion of n in n 1550619438.873 * [misc]backup-simplify: Simplify 0 into 0 1550619438.873 * [misc]backup-simplify: Simplify 1 into 1 1550619438.873 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550619438.874 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550619438.874 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.874 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.874 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))) in n 1550619438.874 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))) in n 1550619438.874 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1550619438.874 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.875 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.875 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1550619438.875 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1550619438.875 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.875 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.875 * [misc]backup-simplify: Simplify 2 into 2 1550619438.875 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.875 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.875 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1550619438.875 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619438.875 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.875 * [misc]backup-simplify: Simplify PI into PI 1550619438.875 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.875 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619438.875 * [misc]taylor: Taking taylor expansion of n in n 1550619438.875 * [misc]backup-simplify: Simplify 0 into 0 1550619438.876 * [misc]backup-simplify: Simplify 1 into 1 1550619438.876 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.876 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550619438.876 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550619438.876 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.876 * [misc]backup-simplify: Simplify PI into PI 1550619438.876 * [misc]taylor: Taking taylor expansion of n in n 1550619438.876 * [misc]backup-simplify: Simplify 0 into 0 1550619438.876 * [misc]backup-simplify: Simplify 1 into 1 1550619438.876 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550619438.877 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550619438.877 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.877 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.877 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))) in n 1550619438.877 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))) in n 1550619438.877 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1550619438.877 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.878 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.878 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1550619438.878 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1550619438.878 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619438.878 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.878 * [misc]backup-simplify: Simplify 2 into 2 1550619438.878 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.878 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1550619438.878 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.878 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.878 * [misc]backup-simplify: Simplify 2 into 2 1550619438.878 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.878 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.878 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619438.878 * [misc]taylor: Taking taylor expansion of n in n 1550619438.878 * [misc]backup-simplify: Simplify 0 into 0 1550619438.878 * [misc]backup-simplify: Simplify 1 into 1 1550619438.879 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.879 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.879 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.879 * [misc]taylor: Taking taylor expansion of n in n 1550619438.879 * [misc]backup-simplify: Simplify 0 into 0 1550619438.879 * [misc]backup-simplify: Simplify 1 into 1 1550619438.879 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.879 * [misc]backup-simplify: Simplify PI into PI 1550619438.879 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.880 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.880 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.880 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.880 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))) in n 1550619438.880 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))) in n 1550619438.880 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1550619438.880 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.880 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.880 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1550619438.880 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1550619438.880 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619438.881 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.881 * [misc]backup-simplify: Simplify 2 into 2 1550619438.881 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.881 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1550619438.881 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.881 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.881 * [misc]backup-simplify: Simplify 2 into 2 1550619438.881 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.881 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.881 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619438.881 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.881 * [misc]backup-simplify: Simplify PI into PI 1550619438.882 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.882 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550619438.882 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550619438.882 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.882 * [misc]backup-simplify: Simplify PI into PI 1550619438.882 * [misc]taylor: Taking taylor expansion of n in n 1550619438.882 * [misc]backup-simplify: Simplify 0 into 0 1550619438.882 * [misc]backup-simplify: Simplify 1 into 1 1550619438.882 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550619438.883 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550619438.883 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.883 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.883 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))) in n 1550619438.883 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550619438.883 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.883 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.883 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1550619438.883 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1550619438.883 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619438.883 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.883 * [misc]backup-simplify: Simplify 2 into 2 1550619438.884 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.884 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550619438.884 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.884 * [misc]backup-simplify: Simplify 2 into 2 1550619438.884 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550619438.884 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550619438.884 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619438.884 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619438.884 * [misc]taylor: Taking taylor expansion of n in n 1550619438.884 * [misc]backup-simplify: Simplify 0 into 0 1550619438.884 * [misc]backup-simplify: Simplify 1 into 1 1550619438.884 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.884 * [misc]backup-simplify: Simplify PI into PI 1550619438.885 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619438.885 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619438.885 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.886 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619438.886 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.886 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.886 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1550619438.887 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1550619438.887 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1550619438.887 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.888 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1550619438.889 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1550619438.890 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1550619438.890 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.890 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1550619438.891 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1550619438.892 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1550619438.893 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.893 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550619438.893 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.893 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.894 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1550619438.894 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1550619438.894 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.895 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1550619438.896 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1550619438.896 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.896 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.896 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1550619438.897 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1550619438.897 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1550619438.897 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.897 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.897 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1550619438.897 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1550619438.898 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1550619438.898 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.898 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1550619438.899 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1550619438.900 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1550619438.900 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.900 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1550619438.900 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1550619438.900 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619438.900 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.900 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.901 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.902 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.902 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.902 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.902 * [misc]backup-simplify: Simplify 0 into 0 1550619438.904 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550619438.904 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1550619438.905 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1550619438.906 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1550619438.907 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619438.908 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1550619438.909 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1550619438.910 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1550619438.911 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619438.912 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550619438.914 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550619438.914 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619438.914 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1550619438.914 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1550619438.915 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1550619438.915 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1550619438.916 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1550619438.916 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1550619438.918 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1550619438.921 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1550619438.924 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) 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))))))))) 1550619438.927 * [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))))))))) 1550619438.933 * [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))))))))) 1550619438.935 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619438.936 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1550619438.938 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1550619438.940 * [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)))) 1550619438.944 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1550619438.946 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1550619438.947 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1550619438.958 * [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))))))))))))))) 1550619438.958 * [misc]backup-simplify: Simplify (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (/ (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (/ (sqrt (/ 1 k)) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) 1550619438.958 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in (k n) around 0 1550619438.958 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in n 1550619438.958 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619438.958 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.958 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1550619438.958 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1550619438.958 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.959 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.959 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.959 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.959 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.959 * [misc]taylor: Taking taylor expansion of k in n 1550619438.959 * [misc]backup-simplify: Simplify k into k 1550619438.959 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.959 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619438.959 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.959 * [misc]backup-simplify: Simplify 2 into 2 1550619438.959 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.959 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.959 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.959 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.960 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.960 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619438.960 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619438.960 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.960 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1550619438.960 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1550619438.960 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.960 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.960 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.960 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.960 * [misc]taylor: Taking taylor expansion of k in n 1550619438.960 * [misc]backup-simplify: Simplify k into k 1550619438.960 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.960 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619438.960 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.960 * [misc]backup-simplify: Simplify PI into PI 1550619438.961 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.961 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.961 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.961 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.961 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550619438.962 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.962 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.962 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619438.962 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619438.962 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.962 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.962 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.962 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.962 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.962 * [misc]taylor: Taking taylor expansion of k in n 1550619438.962 * [misc]backup-simplify: Simplify k into k 1550619438.962 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.962 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619438.962 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619438.962 * [misc]taylor: Taking taylor expansion of n in n 1550619438.962 * [misc]backup-simplify: Simplify 0 into 0 1550619438.962 * [misc]backup-simplify: Simplify 1 into 1 1550619438.963 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.963 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.963 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.963 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.963 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.963 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619438.963 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619438.964 * [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)))) 1550619438.964 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550619438.964 * [misc]taylor: Taking taylor expansion of k in n 1550619438.964 * [misc]backup-simplify: Simplify k into k 1550619438.964 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550619438.964 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550619438.964 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k 1550619438.964 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1550619438.964 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619438.964 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1550619438.964 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1550619438.964 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.964 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.964 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.964 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.964 * [misc]taylor: Taking taylor expansion of k in k 1550619438.964 * [misc]backup-simplify: Simplify 0 into 0 1550619438.964 * [misc]backup-simplify: Simplify 1 into 1 1550619438.964 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.964 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619438.964 * [misc]taylor: Taking taylor expansion of 2 in k 1550619438.965 * [misc]backup-simplify: Simplify 2 into 2 1550619438.965 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.965 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.965 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.965 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.965 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1550619438.966 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619438.966 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619438.966 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619438.966 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1550619438.966 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1550619438.966 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.966 * [misc]taylor: Taking taylor expansion of k in k 1550619438.966 * [misc]backup-simplify: Simplify 0 into 0 1550619438.966 * [misc]backup-simplify: Simplify 1 into 1 1550619438.966 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.966 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.966 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.966 * [misc]backup-simplify: Simplify PI into PI 1550619438.967 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.967 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.967 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.967 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.968 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550619438.968 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.968 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619438.968 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1550619438.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1550619438.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.968 * [misc]taylor: Taking taylor expansion of k in k 1550619438.968 * [misc]backup-simplify: Simplify 0 into 0 1550619438.968 * [misc]backup-simplify: Simplify 1 into 1 1550619438.969 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.969 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550619438.969 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550619438.969 * [misc]taylor: Taking taylor expansion of n in k 1550619438.969 * [misc]backup-simplify: Simplify n into n 1550619438.969 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550619438.969 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550619438.969 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.969 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.969 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.969 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550619438.970 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.970 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619438.970 * [misc]taylor: Taking taylor expansion of k in k 1550619438.970 * [misc]backup-simplify: Simplify 0 into 0 1550619438.970 * [misc]backup-simplify: Simplify 1 into 1 1550619438.970 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.970 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619438.970 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k 1550619438.970 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1550619438.970 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619438.970 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1550619438.970 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1550619438.970 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.971 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.971 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.971 * [misc]taylor: Taking taylor expansion of k in k 1550619438.971 * [misc]backup-simplify: Simplify 0 into 0 1550619438.971 * [misc]backup-simplify: Simplify 1 into 1 1550619438.971 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.971 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619438.971 * [misc]taylor: Taking taylor expansion of 2 in k 1550619438.971 * [misc]backup-simplify: Simplify 2 into 2 1550619438.971 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.971 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.971 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.972 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.972 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1550619438.972 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619438.972 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619438.972 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619438.972 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1550619438.972 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1550619438.972 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.972 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.972 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.972 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.972 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.972 * [misc]taylor: Taking taylor expansion of k in k 1550619438.972 * [misc]backup-simplify: Simplify 0 into 0 1550619438.972 * [misc]backup-simplify: Simplify 1 into 1 1550619438.973 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.973 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619438.973 * [misc]taylor: Taking taylor expansion of PI in k 1550619438.973 * [misc]backup-simplify: Simplify PI into PI 1550619438.973 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.973 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.973 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.973 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.973 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550619438.974 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.974 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619438.974 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1550619438.974 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1550619438.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619438.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.974 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619438.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619438.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.974 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619438.974 * [misc]taylor: Taking taylor expansion of k in k 1550619438.974 * [misc]backup-simplify: Simplify 0 into 0 1550619438.974 * [misc]backup-simplify: Simplify 1 into 1 1550619438.974 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.974 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550619438.974 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550619438.974 * [misc]taylor: Taking taylor expansion of n in k 1550619438.974 * [misc]backup-simplify: Simplify n into n 1550619438.974 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550619438.974 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550619438.974 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619438.974 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619438.974 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619438.974 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550619438.975 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.975 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619438.975 * [misc]taylor: Taking taylor expansion of k in k 1550619438.975 * [misc]backup-simplify: Simplify 0 into 0 1550619438.975 * [misc]backup-simplify: Simplify 1 into 1 1550619438.975 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619438.975 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619438.975 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1550619438.976 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1550619438.976 * [misc]backup-simplify: Simplify (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1550619438.976 * [misc]taylor: Taking taylor expansion of 0 in n 1550619438.976 * [misc]backup-simplify: Simplify 0 into 0 1550619438.976 * [misc]backup-simplify: Simplify 0 into 0 1550619438.976 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1550619438.976 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550619438.977 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619438.977 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1550619438.977 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1550619438.977 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.977 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.977 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619438.977 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619438.977 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.977 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619438.977 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.977 * [misc]backup-simplify: Simplify 2 into 2 1550619438.977 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.977 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.977 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.977 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.977 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.977 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.977 * [misc]taylor: Taking taylor expansion of k in n 1550619438.977 * [misc]backup-simplify: Simplify k into k 1550619438.977 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.977 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.978 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.978 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.978 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.978 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619438.978 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619438.978 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.978 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1550619438.978 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1550619438.978 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.978 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.978 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.978 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.978 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.978 * [misc]taylor: Taking taylor expansion of k in n 1550619438.978 * [misc]backup-simplify: Simplify k into k 1550619438.978 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.978 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619438.978 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.978 * [misc]backup-simplify: Simplify PI into PI 1550619438.978 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.978 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.979 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.979 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.979 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550619438.979 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.979 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.979 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619438.979 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619438.979 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.979 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.979 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.979 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.979 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.979 * [misc]taylor: Taking taylor expansion of k in n 1550619438.979 * [misc]backup-simplify: Simplify k into k 1550619438.979 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.979 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619438.979 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619438.979 * [misc]taylor: Taking taylor expansion of n in n 1550619438.979 * [misc]backup-simplify: Simplify 0 into 0 1550619438.979 * [misc]backup-simplify: Simplify 1 into 1 1550619438.979 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.980 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.980 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.980 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.980 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.980 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619438.980 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619438.980 * [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)))) 1550619438.980 * [misc]backup-simplify: Simplify (* (pow PI (- 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)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1550619438.981 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550619438.981 * [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))))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550619438.981 * [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))))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619438.982 * [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))))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619438.982 * [misc]backup-simplify: Simplify 0 into 0 1550619438.982 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619438.983 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550619438.983 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1550619438.984 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619438.984 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1550619438.984 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1550619438.984 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619438.984 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619438.984 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619438.984 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619438.984 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.984 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619438.984 * [misc]taylor: Taking taylor expansion of 2 in n 1550619438.984 * [misc]backup-simplify: Simplify 2 into 2 1550619438.984 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619438.984 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.984 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.984 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.984 * [misc]taylor: Taking taylor expansion of k in n 1550619438.984 * [misc]backup-simplify: Simplify k into k 1550619438.984 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.984 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.984 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.984 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.984 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.985 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619438.985 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619438.985 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.985 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1550619438.985 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1550619438.985 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.985 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.985 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.985 * [misc]taylor: Taking taylor expansion of k in n 1550619438.985 * [misc]backup-simplify: Simplify k into k 1550619438.985 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.986 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619438.986 * [misc]taylor: Taking taylor expansion of PI in n 1550619438.986 * [misc]backup-simplify: Simplify PI into PI 1550619438.986 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619438.986 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.986 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.986 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.987 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550619438.987 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619438.987 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619438.987 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619438.987 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619438.987 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619438.987 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.987 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619438.987 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619438.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619438.987 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619438.987 * [misc]taylor: Taking taylor expansion of k in n 1550619438.987 * [misc]backup-simplify: Simplify k into k 1550619438.987 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619438.987 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619438.987 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619438.987 * [misc]taylor: Taking taylor expansion of n in n 1550619438.987 * [misc]backup-simplify: Simplify 0 into 0 1550619438.987 * [misc]backup-simplify: Simplify 1 into 1 1550619438.987 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619438.987 * [misc]backup-simplify: Simplify (log 1) into 0 1550619438.987 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619438.987 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619438.988 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619438.988 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619438.988 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619438.988 * [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)))) 1550619438.988 * [misc]backup-simplify: Simplify (* (pow PI (- 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)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1550619438.988 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550619438.989 * [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))))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550619438.989 * [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))))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619438.990 * [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))))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619438.990 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550619438.991 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550619438.991 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619438.991 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619438.992 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.992 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.992 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619438.992 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1550619438.993 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619438.994 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619438.994 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619438.994 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619438.994 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.994 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.995 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1550619438.996 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619438.996 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1550619438.996 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619438.996 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619438.996 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.996 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619438.997 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550619438.998 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1550619438.998 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619438.999 * [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)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550619438.999 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1550619438.999 * [misc]backup-simplify: Simplify (- 0) into 0 1550619438.999 * [misc]backup-simplify: Simplify 0 into 0 1550619438.999 * [misc]backup-simplify: Simplify 0 into 0 1550619439.000 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619439.001 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1550619439.001 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1550619439.002 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619439.002 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1550619439.002 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1550619439.002 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.002 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.002 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619439.002 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619439.002 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.002 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619439.002 * [misc]taylor: Taking taylor expansion of 2 in n 1550619439.002 * [misc]backup-simplify: Simplify 2 into 2 1550619439.002 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619439.002 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.002 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.002 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.002 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.002 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.002 * [misc]taylor: Taking taylor expansion of k in n 1550619439.002 * [misc]backup-simplify: Simplify k into k 1550619439.002 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.002 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.003 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.003 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.003 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.003 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550619439.003 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619439.003 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.003 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1550619439.003 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1550619439.003 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.003 * [misc]taylor: Taking taylor expansion of k in n 1550619439.003 * [misc]backup-simplify: Simplify k into k 1550619439.003 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.003 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.003 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.003 * [misc]backup-simplify: Simplify PI into PI 1550619439.003 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.004 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.004 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.004 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.004 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550619439.005 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.005 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.005 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619439.005 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619439.005 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.005 * [misc]taylor: Taking taylor expansion of k in n 1550619439.005 * [misc]backup-simplify: Simplify k into k 1550619439.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.005 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619439.005 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619439.005 * [misc]taylor: Taking taylor expansion of n in n 1550619439.005 * [misc]backup-simplify: Simplify 0 into 0 1550619439.005 * [misc]backup-simplify: Simplify 1 into 1 1550619439.005 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.005 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.006 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.006 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.006 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.006 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619439.006 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619439.006 * [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)))) 1550619439.007 * [misc]backup-simplify: Simplify (* (pow PI (- 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)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1550619439.007 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550619439.008 * [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))))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.009 * [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))))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619439.009 * [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))))) (pow PI (- 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))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550619439.012 * [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 PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 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 PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 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)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 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 PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1550619439.013 * [misc]backup-simplify: Simplify (* (pow 2 (- 1/2 (* 1/2 (/ 1 (- k))))) (/ (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) (/ (sqrt (/ 1 (- k))) (pow (/ 1 (- n)) (- 1/2 (* 1/2 (/ 1 (- k)))))))) into (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1550619439.013 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in (k n) around 0 1550619439.013 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n 1550619439.013 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619439.013 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.013 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619439.013 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619439.013 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.013 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.013 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.013 * [misc]taylor: Taking taylor expansion of k in n 1550619439.013 * [misc]backup-simplify: Simplify k into k 1550619439.013 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.014 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619439.014 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619439.014 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.014 * [misc]backup-simplify: Simplify -1 into -1 1550619439.014 * [misc]taylor: Taking taylor expansion of n in n 1550619439.014 * [misc]backup-simplify: Simplify 0 into 0 1550619439.014 * [misc]backup-simplify: Simplify 1 into 1 1550619439.014 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.014 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619439.014 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.014 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.015 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.015 * [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))) 1550619439.015 * [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)))) 1550619439.016 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.016 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.016 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1550619439.016 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1550619439.016 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.016 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.016 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.016 * [misc]taylor: Taking taylor expansion of k in n 1550619439.016 * [misc]backup-simplify: Simplify k into k 1550619439.016 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.016 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619439.016 * [misc]taylor: Taking taylor expansion of 2 in n 1550619439.016 * [misc]backup-simplify: Simplify 2 into 2 1550619439.016 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619439.016 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.016 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.017 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.017 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.017 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.017 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1550619439.017 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1550619439.017 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.017 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.017 * [misc]taylor: Taking taylor expansion of k in n 1550619439.017 * [misc]backup-simplify: Simplify k into k 1550619439.017 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.017 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.017 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.018 * [misc]backup-simplify: Simplify PI into PI 1550619439.018 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.018 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.018 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.018 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550619439.019 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.019 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550619439.019 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550619439.019 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.019 * [misc]backup-simplify: Simplify -1 into -1 1550619439.019 * [misc]taylor: Taking taylor expansion of k in n 1550619439.019 * [misc]backup-simplify: Simplify k into k 1550619439.019 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550619439.019 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550619439.019 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550619439.019 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550619439.020 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.020 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.021 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1550619439.021 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1550619439.021 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1550619439.021 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.021 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1550619439.021 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1550619439.022 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.022 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.022 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.022 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.022 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.022 * [misc]taylor: Taking taylor expansion of k in k 1550619439.022 * [misc]backup-simplify: Simplify 0 into 0 1550619439.022 * [misc]backup-simplify: Simplify 1 into 1 1550619439.022 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.022 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.022 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.022 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550619439.022 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550619439.022 * [misc]taylor: Taking taylor expansion of -1 in k 1550619439.022 * [misc]backup-simplify: Simplify -1 into -1 1550619439.022 * [misc]taylor: Taking taylor expansion of n in k 1550619439.022 * [misc]backup-simplify: Simplify n into n 1550619439.022 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550619439.022 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550619439.022 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.023 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.023 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550619439.023 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.023 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1550619439.023 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.023 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1550619439.023 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1550619439.023 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.023 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.023 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.023 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.023 * [misc]taylor: Taking taylor expansion of k in k 1550619439.023 * [misc]backup-simplify: Simplify 0 into 0 1550619439.023 * [misc]backup-simplify: Simplify 1 into 1 1550619439.023 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.023 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.024 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619439.024 * [misc]taylor: Taking taylor expansion of 2 in k 1550619439.024 * [misc]backup-simplify: Simplify 2 into 2 1550619439.024 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619439.024 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.024 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.024 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550619439.025 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.025 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.025 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1550619439.025 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1550619439.025 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.025 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.025 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.025 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.025 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.025 * [misc]taylor: Taking taylor expansion of k in k 1550619439.025 * [misc]backup-simplify: Simplify 0 into 0 1550619439.025 * [misc]backup-simplify: Simplify 1 into 1 1550619439.025 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.025 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.025 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.025 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619439.025 * [misc]taylor: Taking taylor expansion of PI in k 1550619439.025 * [misc]backup-simplify: Simplify PI into PI 1550619439.026 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.026 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.026 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.026 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619439.027 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.027 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619439.027 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619439.027 * [misc]taylor: Taking taylor expansion of -1 in k 1550619439.027 * [misc]backup-simplify: Simplify -1 into -1 1550619439.027 * [misc]taylor: Taking taylor expansion of k in k 1550619439.027 * [misc]backup-simplify: Simplify 0 into 0 1550619439.027 * [misc]backup-simplify: Simplify 1 into 1 1550619439.027 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.027 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.028 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619439.028 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.029 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 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)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.029 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 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)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.029 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1550619439.029 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1550619439.029 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.029 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1550619439.029 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1550619439.030 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.030 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.030 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.030 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.030 * [misc]taylor: Taking taylor expansion of k in k 1550619439.030 * [misc]backup-simplify: Simplify 0 into 0 1550619439.030 * [misc]backup-simplify: Simplify 1 into 1 1550619439.030 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.030 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.030 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550619439.030 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550619439.030 * [misc]taylor: Taking taylor expansion of -1 in k 1550619439.030 * [misc]backup-simplify: Simplify -1 into -1 1550619439.030 * [misc]taylor: Taking taylor expansion of n in k 1550619439.030 * [misc]backup-simplify: Simplify n into n 1550619439.030 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550619439.030 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550619439.030 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.031 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.031 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550619439.031 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.031 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1550619439.031 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.031 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1550619439.031 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1550619439.031 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.031 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.031 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.031 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.031 * [misc]taylor: Taking taylor expansion of k in k 1550619439.031 * [misc]backup-simplify: Simplify 0 into 0 1550619439.031 * [misc]backup-simplify: Simplify 1 into 1 1550619439.031 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.031 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.032 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550619439.032 * [misc]taylor: Taking taylor expansion of 2 in k 1550619439.032 * [misc]backup-simplify: Simplify 2 into 2 1550619439.032 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619439.032 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.032 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.033 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550619439.033 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.033 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.033 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1550619439.033 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1550619439.033 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.033 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.034 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.034 * [misc]taylor: Taking taylor expansion of k in k 1550619439.034 * [misc]backup-simplify: Simplify 0 into 0 1550619439.034 * [misc]backup-simplify: Simplify 1 into 1 1550619439.034 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.034 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.034 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619439.034 * [misc]taylor: Taking taylor expansion of PI in k 1550619439.034 * [misc]backup-simplify: Simplify PI into PI 1550619439.034 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.034 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.035 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.035 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619439.036 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.036 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619439.036 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619439.036 * [misc]taylor: Taking taylor expansion of -1 in k 1550619439.036 * [misc]backup-simplify: Simplify -1 into -1 1550619439.036 * [misc]taylor: Taking taylor expansion of k in k 1550619439.036 * [misc]backup-simplify: Simplify 0 into 0 1550619439.036 * [misc]backup-simplify: Simplify 1 into 1 1550619439.036 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.036 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.037 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619439.037 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.038 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 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)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.038 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 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)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.038 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1550619439.038 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.038 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.038 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619439.038 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.039 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.039 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619439.039 * [misc]taylor: Taking taylor expansion of 2 in n 1550619439.039 * [misc]backup-simplify: Simplify 2 into 2 1550619439.039 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619439.039 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.039 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.039 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.039 * [misc]taylor: Taking taylor expansion of k in n 1550619439.039 * [misc]backup-simplify: Simplify k into k 1550619439.039 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.039 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.039 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.039 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.040 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.040 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.040 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.040 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619439.040 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619439.040 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.040 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.040 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.040 * [misc]taylor: Taking taylor expansion of k in n 1550619439.040 * [misc]backup-simplify: Simplify k into k 1550619439.040 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.040 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619439.040 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619439.040 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.040 * [misc]backup-simplify: Simplify -1 into -1 1550619439.040 * [misc]taylor: Taking taylor expansion of n in n 1550619439.040 * [misc]backup-simplify: Simplify 0 into 0 1550619439.040 * [misc]backup-simplify: Simplify 1 into 1 1550619439.041 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.041 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619439.041 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.041 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.041 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.042 * [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))) 1550619439.042 * [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)))) 1550619439.042 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.042 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1550619439.042 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1550619439.042 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.042 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.042 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.042 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.042 * [misc]taylor: Taking taylor expansion of k in n 1550619439.042 * [misc]backup-simplify: Simplify k into k 1550619439.042 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.042 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.042 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.042 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.042 * [misc]backup-simplify: Simplify PI into PI 1550619439.043 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.043 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.043 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.043 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550619439.043 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.044 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.045 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.045 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.046 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.047 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1550619439.047 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550619439.048 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550619439.049 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619439.050 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550619439.050 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.050 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.050 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.050 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of k in n 1550619439.050 * [misc]backup-simplify: Simplify k into k 1550619439.050 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.050 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619439.050 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.050 * [misc]backup-simplify: Simplify -1 into -1 1550619439.050 * [misc]taylor: Taking taylor expansion of n in n 1550619439.050 * [misc]backup-simplify: Simplify 0 into 0 1550619439.050 * [misc]backup-simplify: Simplify 1 into 1 1550619439.051 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.051 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619439.051 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.051 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.051 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.052 * [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))) 1550619439.052 * [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)))) 1550619439.052 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.052 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.052 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.052 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619439.052 * [misc]taylor: Taking taylor expansion of 2 in n 1550619439.052 * [misc]backup-simplify: Simplify 2 into 2 1550619439.052 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619439.052 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.052 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.052 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.053 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.053 * [misc]taylor: Taking taylor expansion of k in n 1550619439.053 * [misc]backup-simplify: Simplify k into k 1550619439.053 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.053 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.053 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.053 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.053 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.053 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.053 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.053 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1550619439.054 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1550619439.054 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.054 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.054 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.054 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.054 * [misc]taylor: Taking taylor expansion of k in n 1550619439.054 * [misc]backup-simplify: Simplify k into k 1550619439.054 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.054 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.054 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.054 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.054 * [misc]backup-simplify: Simplify PI into PI 1550619439.055 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.055 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.055 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.055 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550619439.055 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.056 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.056 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.057 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.058 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550619439.059 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550619439.061 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619439.061 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619439.062 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619439.062 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.062 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1550619439.064 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619439.064 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550619439.066 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1550619439.066 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619439.066 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619439.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.067 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.067 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1550619439.068 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619439.069 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1550619439.069 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619439.069 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619439.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.072 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550619439.072 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1550619439.073 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619439.074 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550619439.075 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1550619439.075 * [misc]backup-simplify: Simplify 0 into 0 1550619439.075 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550619439.076 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1550619439.076 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619439.078 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619439.079 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) 1550619439.080 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.080 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.080 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of 2 in n 1550619439.080 * [misc]backup-simplify: Simplify 2 into 2 1550619439.080 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619439.080 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.080 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.080 * [misc]taylor: Taking taylor expansion of k in n 1550619439.080 * [misc]backup-simplify: Simplify k into k 1550619439.080 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.080 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.081 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.081 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.081 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.081 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.081 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.081 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.081 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619439.081 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619439.081 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.081 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.081 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.081 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.082 * [misc]taylor: Taking taylor expansion of k in n 1550619439.082 * [misc]backup-simplify: Simplify k into k 1550619439.082 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.082 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.082 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.082 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619439.082 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619439.082 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.082 * [misc]backup-simplify: Simplify -1 into -1 1550619439.082 * [misc]taylor: Taking taylor expansion of n in n 1550619439.082 * [misc]backup-simplify: Simplify 0 into 0 1550619439.082 * [misc]backup-simplify: Simplify 1 into 1 1550619439.082 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.082 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619439.082 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.082 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.083 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.083 * [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))) 1550619439.083 * [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)))) 1550619439.083 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.083 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1550619439.083 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1550619439.083 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.084 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.084 * [misc]taylor: Taking taylor expansion of k in n 1550619439.084 * [misc]backup-simplify: Simplify k into k 1550619439.084 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.084 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.084 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.084 * [misc]backup-simplify: Simplify PI into PI 1550619439.084 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.084 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.084 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.085 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550619439.085 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.085 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1550619439.085 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1550619439.085 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.085 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.085 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619439.085 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.085 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619439.085 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619439.085 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.085 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.085 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.085 * [misc]taylor: Taking taylor expansion of k in n 1550619439.085 * [misc]backup-simplify: Simplify k into k 1550619439.085 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.086 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619439.086 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619439.086 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.086 * [misc]backup-simplify: Simplify -1 into -1 1550619439.086 * [misc]taylor: Taking taylor expansion of n in n 1550619439.086 * [misc]backup-simplify: Simplify 0 into 0 1550619439.086 * [misc]backup-simplify: Simplify 1 into 1 1550619439.086 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.086 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619439.086 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.086 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.087 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.087 * [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))) 1550619439.087 * [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)))) 1550619439.087 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.087 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.087 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.087 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550619439.087 * [misc]taylor: Taking taylor expansion of 2 in n 1550619439.087 * [misc]backup-simplify: Simplify 2 into 2 1550619439.087 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550619439.088 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.088 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.088 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.088 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.088 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.088 * [misc]taylor: Taking taylor expansion of k in n 1550619439.088 * [misc]backup-simplify: Simplify k into k 1550619439.088 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.088 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.088 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.088 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.088 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.088 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.089 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.089 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.089 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1550619439.089 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1550619439.089 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.089 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.089 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.089 * [misc]taylor: Taking taylor expansion of k in n 1550619439.089 * [misc]backup-simplify: Simplify k into k 1550619439.089 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.089 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.089 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.089 * [misc]backup-simplify: Simplify PI into PI 1550619439.090 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.090 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.090 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.090 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550619439.090 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.091 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.092 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.092 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.093 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.093 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.094 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.095 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550619439.097 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550619439.097 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550619439.098 * [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)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550619439.102 * [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 PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* 1 (/ 1 (- k))) 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)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* 1 (/ 1 (- k)))) (* +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 PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 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)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1550619439.102 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1550619439.102 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) into (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1550619439.102 * [misc]approximate: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1550619439.102 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1550619439.102 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1550619439.102 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1550619439.102 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1550619439.102 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1550619439.102 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619439.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.102 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619439.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.102 * [misc]taylor: Taking taylor expansion of k in n 1550619439.103 * [misc]backup-simplify: Simplify k into k 1550619439.103 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619439.103 * [misc]taylor: Taking taylor expansion of n in n 1550619439.103 * [misc]backup-simplify: Simplify 0 into 0 1550619439.103 * [misc]backup-simplify: Simplify 1 into 1 1550619439.103 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.103 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619439.103 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619439.103 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619439.103 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619439.103 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1550619439.104 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1550619439.104 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1550619439.104 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1550619439.104 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1550619439.104 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550619439.104 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.104 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550619439.104 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.104 * [misc]taylor: Taking taylor expansion of k in n 1550619439.104 * [misc]backup-simplify: Simplify k into k 1550619439.104 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.104 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.104 * [misc]backup-simplify: Simplify PI into PI 1550619439.105 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.105 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550619439.105 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550619439.105 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550619439.105 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1550619439.106 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1550619439.106 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550619439.106 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.106 * [misc]taylor: Taking taylor expansion of k in n 1550619439.106 * [misc]backup-simplify: Simplify k into k 1550619439.106 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.106 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550619439.106 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619439.106 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550619439.106 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1550619439.106 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1550619439.106 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1550619439.106 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1550619439.106 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1550619439.106 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619439.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.106 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619439.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.106 * [misc]taylor: Taking taylor expansion of k in k 1550619439.106 * [misc]backup-simplify: Simplify 0 into 0 1550619439.106 * [misc]backup-simplify: Simplify 1 into 1 1550619439.106 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619439.106 * [misc]taylor: Taking taylor expansion of n in k 1550619439.107 * [misc]backup-simplify: Simplify n into n 1550619439.107 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619439.107 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619439.107 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.107 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.107 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550619439.107 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550619439.107 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1550619439.107 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1550619439.107 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1550619439.107 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619439.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.107 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619439.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.107 * [misc]taylor: Taking taylor expansion of k in k 1550619439.108 * [misc]backup-simplify: Simplify 0 into 0 1550619439.108 * [misc]backup-simplify: Simplify 1 into 1 1550619439.108 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619439.108 * [misc]taylor: Taking taylor expansion of PI in k 1550619439.108 * [misc]backup-simplify: Simplify PI into PI 1550619439.108 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.108 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619439.108 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.108 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.109 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619439.109 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550619439.109 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619439.110 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.110 * [misc]taylor: Taking taylor expansion of k in k 1550619439.110 * [misc]backup-simplify: Simplify 0 into 0 1550619439.110 * [misc]backup-simplify: Simplify 1 into 1 1550619439.110 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.110 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.110 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619439.110 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1550619439.110 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1550619439.110 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1550619439.110 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1550619439.111 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1550619439.111 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619439.111 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.111 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619439.111 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.111 * [misc]taylor: Taking taylor expansion of k in k 1550619439.111 * [misc]backup-simplify: Simplify 0 into 0 1550619439.111 * [misc]backup-simplify: Simplify 1 into 1 1550619439.111 * [misc]taylor: Taking taylor expansion of (log n) in k 1550619439.111 * [misc]taylor: Taking taylor expansion of n in k 1550619439.111 * [misc]backup-simplify: Simplify n into n 1550619439.111 * [misc]backup-simplify: Simplify (log n) into (log n) 1550619439.111 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619439.111 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.111 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.111 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550619439.111 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550619439.112 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1550619439.112 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1550619439.112 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1550619439.112 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550619439.112 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.112 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550619439.112 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.112 * [misc]taylor: Taking taylor expansion of k in k 1550619439.112 * [misc]backup-simplify: Simplify 0 into 0 1550619439.112 * [misc]backup-simplify: Simplify 1 into 1 1550619439.112 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619439.112 * [misc]taylor: Taking taylor expansion of PI in k 1550619439.112 * [misc]backup-simplify: Simplify PI into PI 1550619439.112 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.112 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550619439.112 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.113 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.113 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619439.114 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550619439.114 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550619439.114 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.114 * [misc]taylor: Taking taylor expansion of k in k 1550619439.114 * [misc]backup-simplify: Simplify 0 into 0 1550619439.114 * [misc]backup-simplify: Simplify 1 into 1 1550619439.114 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.114 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.115 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619439.115 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow PI 1/2)) into (sqrt (* n PI)) 1550619439.115 * [misc]backup-simplify: Simplify (* (sqrt (* n PI)) 0) into 0 1550619439.115 * [misc]taylor: Taking taylor expansion of 0 in n 1550619439.115 * [misc]backup-simplify: Simplify 0 into 0 1550619439.115 * [misc]backup-simplify: Simplify 0 into 0 1550619439.117 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619439.118 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619439.118 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619439.118 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619439.119 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1550619439.122 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1550619439.123 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550619439.123 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550619439.123 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619439.123 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619439.123 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1550619439.124 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1550619439.125 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt n) (log n))) (pow PI 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) 1550619439.126 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n PI)) +nan.0) (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) 0)) into (- (* +nan.0 (sqrt (* n PI)))) 1550619439.126 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt (* n PI)))) in n 1550619439.126 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (* n PI))) in n 1550619439.126 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.126 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.126 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.126 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.126 * [misc]taylor: Taking taylor expansion of n in n 1550619439.126 * [misc]backup-simplify: Simplify 0 into 0 1550619439.126 * [misc]backup-simplify: Simplify 1 into 1 1550619439.126 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.126 * [misc]backup-simplify: Simplify PI into PI 1550619439.126 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.127 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.127 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.128 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.128 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.128 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.128 * [misc]backup-simplify: Simplify 0 into 0 1550619439.128 * [misc]backup-simplify: Simplify 0 into 0 1550619439.128 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550619439.129 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619439.131 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550619439.131 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619439.132 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.132 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.132 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1550619439.136 * [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))) 1550619439.137 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550619439.137 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550619439.137 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.137 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.137 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1550619439.138 * [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))) 1550619439.140 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))))) 1550619439.141 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n PI)) +nan.0) (+ (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) +nan.0) (* (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))))) 0))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (* +nan.0 (sqrt (* n PI)))))))) 1550619439.141 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (* +nan.0 (sqrt (* n PI)))))))) in n 1550619439.141 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (* +nan.0 (sqrt (* n PI))))))) in n 1550619439.141 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (log PI))) in n 1550619439.141 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.141 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.141 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log PI)) in n 1550619439.141 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.141 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.141 * [misc]taylor: Taking taylor expansion of n in n 1550619439.141 * [misc]backup-simplify: Simplify 0 into 0 1550619439.141 * [misc]backup-simplify: Simplify 1 into 1 1550619439.141 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.141 * [misc]backup-simplify: Simplify PI into PI 1550619439.142 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.142 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.142 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.142 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.142 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.142 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.142 * [misc]backup-simplify: Simplify PI into PI 1550619439.143 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.143 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (* +nan.0 (sqrt (* n PI)))))) in n 1550619439.143 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (* +nan.0 (sqrt (* n PI))))) in n 1550619439.143 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (log n))) in n 1550619439.143 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.143 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.143 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log n)) in n 1550619439.143 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.143 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.143 * [misc]taylor: Taking taylor expansion of n in n 1550619439.143 * [misc]backup-simplify: Simplify 0 into 0 1550619439.143 * [misc]backup-simplify: Simplify 1 into 1 1550619439.143 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.143 * [misc]backup-simplify: Simplify PI into PI 1550619439.143 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.143 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.143 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.144 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.144 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619439.144 * [misc]taylor: Taking taylor expansion of n in n 1550619439.144 * [misc]backup-simplify: Simplify 0 into 0 1550619439.144 * [misc]backup-simplify: Simplify 1 into 1 1550619439.144 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.144 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt (* n PI)))) in n 1550619439.144 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (* n PI))) in n 1550619439.144 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.144 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.144 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.144 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.144 * [misc]taylor: Taking taylor expansion of n in n 1550619439.144 * [misc]backup-simplify: Simplify 0 into 0 1550619439.144 * [misc]backup-simplify: Simplify 1 into 1 1550619439.144 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.144 * [misc]backup-simplify: Simplify PI into PI 1550619439.144 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.144 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.145 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.145 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.145 * [misc]backup-simplify: Simplify (* 0 (log PI)) into 0 1550619439.145 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.145 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619439.145 * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 1550619439.146 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.146 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.146 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.146 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.146 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.146 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.146 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.146 * [misc]backup-simplify: Simplify 0 into 0 1550619439.147 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 PI)) 1550619439.147 * [misc]backup-simplify: Simplify (- (- (* +nan.0 PI))) into (- (* +nan.0 PI)) 1550619439.147 * [misc]backup-simplify: Simplify (- (* +nan.0 PI)) into (- (* +nan.0 PI)) 1550619439.147 * [misc]backup-simplify: Simplify 0 into 0 1550619439.148 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619439.148 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619439.152 * [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 1550619439.153 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619439.153 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.153 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.154 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1550619439.160 * [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))) 1550619439.162 * [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 1550619439.163 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550619439.163 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.164 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1550619439.165 * [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))) 1550619439.170 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (sqrt (* n PI)) (pow (log PI) 3))) (+ (* 1/16 (* (sqrt (* n PI)) (* (pow (log PI) 2) (log n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (sqrt (* n PI)) (* (log PI) (pow (log n) 2)))))))) 1550619439.174 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n PI)) +nan.0) (+ (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) +nan.0) (+ (* (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))))) +nan.0) (* (- (+ (* 1/48 (* (sqrt (* n PI)) (pow (log PI) 3))) (+ (* 1/16 (* (sqrt (* n PI)) (* (pow (log PI) 2) (log n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (sqrt (* n PI)) (* (log PI) (pow (log n) 2)))))))) 0)))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI)))))))))))))) 1550619439.174 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI)))))))))))))) in n 1550619439.174 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI))))))))))))) in n 1550619439.174 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (log PI))) in n 1550619439.174 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.174 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.174 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log PI)) in n 1550619439.175 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.175 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.175 * [misc]taylor: Taking taylor expansion of n in n 1550619439.175 * [misc]backup-simplify: Simplify 0 into 0 1550619439.175 * [misc]backup-simplify: Simplify 1 into 1 1550619439.175 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.175 * [misc]backup-simplify: Simplify PI into PI 1550619439.175 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.175 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.175 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.176 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.176 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.176 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.176 * [misc]backup-simplify: Simplify PI into PI 1550619439.176 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.176 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI)))))))))))) in n 1550619439.176 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI))))))))))) in n 1550619439.176 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (log n))) in n 1550619439.176 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.176 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.176 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log n)) in n 1550619439.176 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.176 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.176 * [misc]taylor: Taking taylor expansion of n in n 1550619439.176 * [misc]backup-simplify: Simplify 0 into 0 1550619439.176 * [misc]backup-simplify: Simplify 1 into 1 1550619439.176 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.176 * [misc]backup-simplify: Simplify PI into PI 1550619439.176 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.176 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.177 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.177 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.177 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619439.177 * [misc]taylor: Taking taylor expansion of n in n 1550619439.177 * [misc]backup-simplify: Simplify 0 into 0 1550619439.177 * [misc]backup-simplify: Simplify 1 into 1 1550619439.177 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.177 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI)))))))))) in n 1550619439.177 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI))))))))) in n 1550619439.177 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) in n 1550619439.177 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.177 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.177 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (log n) 2)) in n 1550619439.177 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.177 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.177 * [misc]taylor: Taking taylor expansion of n in n 1550619439.177 * [misc]backup-simplify: Simplify 0 into 0 1550619439.177 * [misc]backup-simplify: Simplify 1 into 1 1550619439.177 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.177 * [misc]backup-simplify: Simplify PI into PI 1550619439.177 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.178 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.178 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.178 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.178 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1550619439.178 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619439.178 * [misc]taylor: Taking taylor expansion of n in n 1550619439.178 * [misc]backup-simplify: Simplify 0 into 0 1550619439.178 * [misc]backup-simplify: Simplify 1 into 1 1550619439.178 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.178 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619439.178 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI)))))))) in n 1550619439.178 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI))))))) in n 1550619439.179 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) in n 1550619439.179 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.179 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.179 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (log PI) (log n))) in n 1550619439.179 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.179 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.179 * [misc]taylor: Taking taylor expansion of n in n 1550619439.179 * [misc]backup-simplify: Simplify 0 into 0 1550619439.179 * [misc]backup-simplify: Simplify 1 into 1 1550619439.179 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.179 * [misc]backup-simplify: Simplify PI into PI 1550619439.179 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.179 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.179 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.180 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.180 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1550619439.180 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.180 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.180 * [misc]backup-simplify: Simplify PI into PI 1550619439.180 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.180 * [misc]taylor: Taking taylor expansion of (log n) in n 1550619439.180 * [misc]taylor: Taking taylor expansion of n in n 1550619439.180 * [misc]backup-simplify: Simplify 0 into 0 1550619439.180 * [misc]backup-simplify: Simplify 1 into 1 1550619439.180 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.180 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI)))))) in n 1550619439.180 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI))))) in n 1550619439.180 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) in n 1550619439.180 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.180 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.180 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (log PI) 2)) in n 1550619439.180 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.180 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.180 * [misc]taylor: Taking taylor expansion of n in n 1550619439.180 * [misc]backup-simplify: Simplify 0 into 0 1550619439.180 * [misc]backup-simplify: Simplify 1 into 1 1550619439.180 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.180 * [misc]backup-simplify: Simplify PI into PI 1550619439.180 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.181 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.181 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.181 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.181 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1550619439.181 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.181 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.181 * [misc]backup-simplify: Simplify PI into PI 1550619439.181 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.181 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt (* n PI)))) in n 1550619439.181 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (* n PI))) in n 1550619439.181 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.181 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.181 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550619439.181 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550619439.181 * [misc]taylor: Taking taylor expansion of n in n 1550619439.181 * [misc]backup-simplify: Simplify 0 into 0 1550619439.181 * [misc]backup-simplify: Simplify 1 into 1 1550619439.181 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.181 * [misc]backup-simplify: Simplify PI into PI 1550619439.182 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550619439.182 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550619439.182 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.182 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550619439.183 * [misc]backup-simplify: Simplify (* 0 (log PI)) into 0 1550619439.183 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.183 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619439.183 * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 1550619439.183 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.183 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619439.183 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619439.183 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1550619439.183 * [misc]backup-simplify: Simplify (* 0 (pow (log n) 2)) into 0 1550619439.184 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.184 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619439.184 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1550619439.184 * [misc]backup-simplify: Simplify (* 0 (* (log PI) (log n))) into 0 1550619439.184 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.185 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1550619439.185 * [misc]backup-simplify: Simplify (* 0 (pow (log PI) 2)) into 0 1550619439.185 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.185 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550619439.185 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.185 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.186 * [misc]backup-simplify: Simplify 0 into 0 1550619439.188 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619439.188 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (log PI))) into (- (* +nan.0 (* (log PI) PI))) 1550619439.190 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log PI) PI)))) (* 0 0)) into (- (* +nan.0 (* (log PI) PI))) 1550619439.191 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550619439.191 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550619439.191 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (log n))) into (- (* +nan.0 (* PI (log n)))) 1550619439.192 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (log n))))) (* 0 0)) into (- (* +nan.0 (* PI (log n)))) 1550619439.192 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 PI)) 1550619439.193 * [misc]backup-simplify: Simplify (- (- (* +nan.0 PI))) into (- (* +nan.0 PI)) 1550619439.193 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* PI (log n)))) (- (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (* +nan.0 (* PI (log n)))))) 1550619439.193 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 PI) (- (* +nan.0 (* PI (log n))))))) into (- (+ (* +nan.0 (* PI (log n))) (- (* +nan.0 PI)))) 1550619439.194 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log PI) PI))) (- (+ (* +nan.0 (* PI (log n))) (- (* +nan.0 PI))))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))))) 1550619439.195 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n))))))))) into (- (+ (* +nan.0 (* PI (log n))) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))))) 1550619439.196 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* PI (log n))) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))))) into (- (+ (* +nan.0 (* PI (log n))) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))))) 1550619439.197 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550619439.198 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1550619439.199 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (pow PI 2))) 1550619439.200 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (pow PI 2)))) into (- (* +nan.0 (pow PI 2))) 1550619439.200 * [misc]backup-simplify: Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2))) 1550619439.204 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow PI 2))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* PI (log n))) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))))) (* n k)) (* (- (* +nan.0 PI)) (* n 1)))) into (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (+ (* +nan.0 (* n (* PI k))) (- (* +nan.0 (* n PI))))))))))) 1550619439.205 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (/ (sqrt (/ 1 k)) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1550619439.205 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1550619439.205 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1550619439.205 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619439.205 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.205 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1550619439.205 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1550619439.205 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.205 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.205 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.205 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.205 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.205 * [misc]taylor: Taking taylor expansion of k in n 1550619439.205 * [misc]backup-simplify: Simplify k into k 1550619439.205 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.205 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.205 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.205 * [misc]backup-simplify: Simplify PI into PI 1550619439.206 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.206 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.206 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.206 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.206 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550619439.207 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.207 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.207 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619439.207 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619439.207 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.207 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.207 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.207 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.207 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.207 * [misc]taylor: Taking taylor expansion of k in n 1550619439.207 * [misc]backup-simplify: Simplify k into k 1550619439.207 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.207 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619439.207 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619439.207 * [misc]taylor: Taking taylor expansion of n in n 1550619439.207 * [misc]backup-simplify: Simplify 0 into 0 1550619439.207 * [misc]backup-simplify: Simplify 1 into 1 1550619439.207 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.208 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.208 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.208 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.208 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.208 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619439.209 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619439.209 * [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)))) 1550619439.209 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550619439.209 * [misc]taylor: Taking taylor expansion of k in n 1550619439.209 * [misc]backup-simplify: Simplify k into k 1550619439.209 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550619439.209 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550619439.209 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1550619439.209 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619439.209 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619439.209 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1550619439.209 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1550619439.209 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619439.209 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.209 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.209 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.209 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.209 * [misc]taylor: Taking taylor expansion of k in k 1550619439.209 * [misc]backup-simplify: Simplify 0 into 0 1550619439.209 * [misc]backup-simplify: Simplify 1 into 1 1550619439.210 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.210 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619439.210 * [misc]taylor: Taking taylor expansion of PI in k 1550619439.210 * [misc]backup-simplify: Simplify PI into PI 1550619439.210 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.210 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.210 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619439.210 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619439.211 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550619439.211 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.211 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619439.211 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1550619439.211 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1550619439.211 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619439.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.211 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.211 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.211 * [misc]taylor: Taking taylor expansion of k in k 1550619439.212 * [misc]backup-simplify: Simplify 0 into 0 1550619439.212 * [misc]backup-simplify: Simplify 1 into 1 1550619439.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.212 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550619439.212 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550619439.212 * [misc]taylor: Taking taylor expansion of n in k 1550619439.212 * [misc]backup-simplify: Simplify n into n 1550619439.212 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550619439.212 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550619439.212 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.212 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619439.212 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619439.213 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550619439.213 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.213 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619439.213 * [misc]taylor: Taking taylor expansion of k in k 1550619439.213 * [misc]backup-simplify: Simplify 0 into 0 1550619439.213 * [misc]backup-simplify: Simplify 1 into 1 1550619439.213 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.213 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619439.213 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1550619439.213 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550619439.213 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619439.214 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1550619439.214 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1550619439.214 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619439.214 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.214 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.214 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.214 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.214 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.214 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.214 * [misc]taylor: Taking taylor expansion of k in k 1550619439.214 * [misc]backup-simplify: Simplify 0 into 0 1550619439.214 * [misc]backup-simplify: Simplify 1 into 1 1550619439.214 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.214 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619439.214 * [misc]taylor: Taking taylor expansion of PI in k 1550619439.214 * [misc]backup-simplify: Simplify PI into PI 1550619439.214 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.214 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.215 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619439.215 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619439.215 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550619439.216 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.216 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550619439.216 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1550619439.216 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1550619439.216 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550619439.216 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.216 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.216 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.216 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.216 * [misc]taylor: Taking taylor expansion of k in k 1550619439.216 * [misc]backup-simplify: Simplify 0 into 0 1550619439.216 * [misc]backup-simplify: Simplify 1 into 1 1550619439.216 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.216 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550619439.216 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550619439.216 * [misc]taylor: Taking taylor expansion of n in k 1550619439.216 * [misc]backup-simplify: Simplify n into n 1550619439.216 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550619439.216 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550619439.217 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.217 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550619439.217 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550619439.217 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550619439.217 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.217 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550619439.217 * [misc]taylor: Taking taylor expansion of k in k 1550619439.217 * [misc]backup-simplify: Simplify 0 into 0 1550619439.217 * [misc]backup-simplify: Simplify 1 into 1 1550619439.217 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.218 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550619439.218 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1550619439.218 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1550619439.219 * [misc]taylor: Taking taylor expansion of 0 in n 1550619439.219 * [misc]backup-simplify: Simplify 0 into 0 1550619439.219 * [misc]backup-simplify: Simplify 0 into 0 1550619439.219 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1550619439.219 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.219 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.220 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.220 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.220 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.220 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of k in n 1550619439.220 * [misc]backup-simplify: Simplify k into k 1550619439.220 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.220 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.220 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.220 * [misc]backup-simplify: Simplify PI into PI 1550619439.220 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.220 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.221 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.221 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.221 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550619439.221 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.221 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.221 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619439.221 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619439.221 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.222 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.222 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.222 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.222 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.222 * [misc]taylor: Taking taylor expansion of k in n 1550619439.222 * [misc]backup-simplify: Simplify k into k 1550619439.222 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.222 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619439.222 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619439.222 * [misc]taylor: Taking taylor expansion of n in n 1550619439.222 * [misc]backup-simplify: Simplify 0 into 0 1550619439.222 * [misc]backup-simplify: Simplify 1 into 1 1550619439.222 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.222 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.222 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.222 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.222 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.223 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619439.223 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619439.223 * [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)))) 1550619439.223 * [misc]backup-simplify: Simplify (* (pow PI (- 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)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1550619439.224 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550619439.224 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.224 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.224 * [misc]backup-simplify: Simplify 0 into 0 1550619439.226 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619439.226 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550619439.227 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 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 (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.227 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.227 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.227 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.227 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of k in n 1550619439.227 * [misc]backup-simplify: Simplify k into k 1550619439.227 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.227 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.227 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.227 * [misc]backup-simplify: Simplify PI into PI 1550619439.227 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.228 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.228 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.228 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.228 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550619439.229 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.229 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.229 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619439.229 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619439.229 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.229 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.229 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.229 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.229 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.229 * [misc]taylor: Taking taylor expansion of k in n 1550619439.229 * [misc]backup-simplify: Simplify k into k 1550619439.229 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.229 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619439.229 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619439.229 * [misc]taylor: Taking taylor expansion of n in n 1550619439.229 * [misc]backup-simplify: Simplify 0 into 0 1550619439.229 * [misc]backup-simplify: Simplify 1 into 1 1550619439.229 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.229 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.230 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.230 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.230 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.230 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619439.230 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619439.230 * [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)))) 1550619439.231 * [misc]backup-simplify: Simplify (* (pow PI (- 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)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1550619439.231 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550619439.231 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.232 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.232 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550619439.234 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550619439.235 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619439.235 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619439.235 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.235 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.235 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619439.235 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1550619439.237 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619439.239 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619439.239 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619439.239 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619439.240 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.240 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.240 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1550619439.242 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619439.242 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1550619439.243 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550619439.243 * [misc]backup-simplify: Simplify (- 0) into 0 1550619439.243 * [misc]backup-simplify: Simplify 0 into 0 1550619439.243 * [misc]backup-simplify: Simplify 0 into 0 1550619439.244 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619439.245 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1550619439.246 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 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 (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.246 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.246 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.246 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.246 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of k in n 1550619439.246 * [misc]backup-simplify: Simplify k into k 1550619439.246 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.246 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.246 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.246 * [misc]backup-simplify: Simplify PI into PI 1550619439.247 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.247 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.247 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.247 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.247 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550619439.248 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550619439.248 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550619439.248 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1550619439.248 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1550619439.248 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550619439.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.248 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.248 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.248 * [misc]taylor: Taking taylor expansion of k in n 1550619439.248 * [misc]backup-simplify: Simplify k into k 1550619439.248 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.248 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550619439.248 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550619439.248 * [misc]taylor: Taking taylor expansion of n in n 1550619439.248 * [misc]backup-simplify: Simplify 0 into 0 1550619439.248 * [misc]backup-simplify: Simplify 1 into 1 1550619439.248 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.248 * [misc]backup-simplify: Simplify (log 1) into 0 1550619439.249 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.249 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550619439.249 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550619439.249 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550619439.249 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550619439.249 * [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)))) 1550619439.250 * [misc]backup-simplify: Simplify (* (pow PI (- 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)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1550619439.250 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550619439.250 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.251 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550619439.253 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1550619439.253 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) (/ (sqrt (/ 1 (- k))) (pow (/ 1 (- n)) (- 1/2 (* 1/2 (/ 1 (- k))))))) into (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1550619439.253 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1550619439.253 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1550619439.253 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.253 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.253 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619439.253 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619439.253 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.253 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.253 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.253 * [misc]taylor: Taking taylor expansion of k in n 1550619439.253 * [misc]backup-simplify: Simplify k into k 1550619439.253 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.254 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.254 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619439.254 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619439.254 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.254 * [misc]backup-simplify: Simplify -1 into -1 1550619439.254 * [misc]taylor: Taking taylor expansion of n in n 1550619439.254 * [misc]backup-simplify: Simplify 0 into 0 1550619439.254 * [misc]backup-simplify: Simplify 1 into 1 1550619439.254 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.254 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619439.254 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.254 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.255 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.255 * [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))) 1550619439.256 * [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)))) 1550619439.256 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.256 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1550619439.256 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1550619439.256 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.256 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.256 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.256 * [misc]taylor: Taking taylor expansion of k in n 1550619439.256 * [misc]backup-simplify: Simplify k into k 1550619439.256 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.256 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.256 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.256 * [misc]backup-simplify: Simplify PI into PI 1550619439.257 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.257 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.257 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.257 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550619439.257 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.258 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550619439.258 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550619439.258 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.258 * [misc]backup-simplify: Simplify -1 into -1 1550619439.258 * [misc]taylor: Taking taylor expansion of k in n 1550619439.258 * [misc]backup-simplify: Simplify k into k 1550619439.258 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550619439.258 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550619439.258 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550619439.258 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550619439.259 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.259 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1550619439.259 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1550619439.259 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1550619439.259 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.259 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1550619439.259 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1550619439.259 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.259 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.259 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.259 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.260 * [misc]taylor: Taking taylor expansion of k in k 1550619439.260 * [misc]backup-simplify: Simplify 0 into 0 1550619439.260 * [misc]backup-simplify: Simplify 1 into 1 1550619439.260 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.260 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.260 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.260 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550619439.260 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550619439.260 * [misc]taylor: Taking taylor expansion of -1 in k 1550619439.260 * [misc]backup-simplify: Simplify -1 into -1 1550619439.260 * [misc]taylor: Taking taylor expansion of n in k 1550619439.260 * [misc]backup-simplify: Simplify n into n 1550619439.260 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550619439.260 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550619439.260 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.260 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.260 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550619439.261 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.261 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.261 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1550619439.261 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1550619439.261 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.261 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.261 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.261 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.261 * [misc]taylor: Taking taylor expansion of k in k 1550619439.261 * [misc]backup-simplify: Simplify 0 into 0 1550619439.261 * [misc]backup-simplify: Simplify 1 into 1 1550619439.261 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.261 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.261 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619439.261 * [misc]taylor: Taking taylor expansion of PI in k 1550619439.261 * [misc]backup-simplify: Simplify PI into PI 1550619439.261 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.261 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.261 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.263 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619439.263 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.263 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619439.263 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619439.263 * [misc]taylor: Taking taylor expansion of -1 in k 1550619439.263 * [misc]backup-simplify: Simplify -1 into -1 1550619439.263 * [misc]taylor: Taking taylor expansion of k in k 1550619439.263 * [misc]backup-simplify: Simplify 0 into 0 1550619439.263 * [misc]backup-simplify: Simplify 1 into 1 1550619439.263 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.263 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.264 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619439.264 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.264 * [misc]backup-simplify: Simplify (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.264 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.264 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of k in k 1550619439.264 * [misc]backup-simplify: Simplify 0 into 0 1550619439.264 * [misc]backup-simplify: Simplify 1 into 1 1550619439.264 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.264 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.264 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550619439.264 * [misc]taylor: Taking taylor expansion of -1 in k 1550619439.264 * [misc]backup-simplify: Simplify -1 into -1 1550619439.264 * [misc]taylor: Taking taylor expansion of n in k 1550619439.264 * [misc]backup-simplify: Simplify n into n 1550619439.264 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550619439.264 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550619439.265 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.265 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.265 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550619439.265 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.265 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550619439.265 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1550619439.265 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1550619439.265 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550619439.265 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550619439.265 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.265 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550619439.265 * [misc]taylor: Taking taylor expansion of k in k 1550619439.265 * [misc]backup-simplify: Simplify 0 into 0 1550619439.265 * [misc]backup-simplify: Simplify 1 into 1 1550619439.265 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550619439.265 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550619439.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.265 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550619439.265 * [misc]taylor: Taking taylor expansion of PI in k 1550619439.265 * [misc]backup-simplify: Simplify PI into PI 1550619439.265 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.265 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550619439.266 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550619439.266 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550619439.266 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.266 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550619439.266 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550619439.266 * [misc]taylor: Taking taylor expansion of -1 in k 1550619439.266 * [misc]backup-simplify: Simplify -1 into -1 1550619439.266 * [misc]taylor: Taking taylor expansion of k in k 1550619439.266 * [misc]backup-simplify: Simplify 0 into 0 1550619439.266 * [misc]backup-simplify: Simplify 1 into 1 1550619439.266 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.266 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550619439.267 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550619439.267 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.267 * [misc]backup-simplify: Simplify (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.267 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.267 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.267 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.267 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of k in n 1550619439.267 * [misc]backup-simplify: Simplify k into k 1550619439.267 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.267 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.267 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619439.267 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.267 * [misc]backup-simplify: Simplify -1 into -1 1550619439.267 * [misc]taylor: Taking taylor expansion of n in n 1550619439.267 * [misc]backup-simplify: Simplify 0 into 0 1550619439.268 * [misc]backup-simplify: Simplify 1 into 1 1550619439.268 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.268 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619439.268 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.268 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.268 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.268 * [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))) 1550619439.268 * [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)))) 1550619439.269 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.269 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1550619439.269 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1550619439.269 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.269 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.269 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.269 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.269 * [misc]taylor: Taking taylor expansion of k in n 1550619439.269 * [misc]backup-simplify: Simplify k into k 1550619439.269 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.269 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.269 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.269 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.269 * [misc]backup-simplify: Simplify PI into PI 1550619439.269 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.269 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.269 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.269 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550619439.269 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.270 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.270 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.270 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.271 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1550619439.271 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550619439.271 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550619439.272 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.272 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.272 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.272 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.272 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.272 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of k in n 1550619439.272 * [misc]backup-simplify: Simplify k into k 1550619439.272 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.272 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.272 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.272 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619439.272 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.272 * [misc]backup-simplify: Simplify -1 into -1 1550619439.272 * [misc]taylor: Taking taylor expansion of n in n 1550619439.272 * [misc]backup-simplify: Simplify 0 into 0 1550619439.272 * [misc]backup-simplify: Simplify 1 into 1 1550619439.272 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.272 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619439.273 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.273 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.273 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.273 * [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))) 1550619439.273 * [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)))) 1550619439.273 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.273 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1550619439.273 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1550619439.273 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.273 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.273 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.273 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.273 * [misc]taylor: Taking taylor expansion of k in n 1550619439.273 * [misc]backup-simplify: Simplify k into k 1550619439.273 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.273 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.273 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.273 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.273 * [misc]backup-simplify: Simplify PI into PI 1550619439.274 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.274 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.274 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.274 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550619439.274 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.274 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.275 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.275 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.275 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.277 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550619439.277 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619439.277 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619439.277 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.277 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1550619439.278 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619439.279 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550619439.280 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1550619439.280 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550619439.280 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550619439.280 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550619439.280 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.281 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1550619439.281 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550619439.282 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1550619439.282 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550619439.282 * [misc]backup-simplify: Simplify 0 into 0 1550619439.282 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550619439.283 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550619439.283 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550619439.284 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.284 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550619439.284 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550619439.284 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.284 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of k in n 1550619439.284 * [misc]backup-simplify: Simplify k into k 1550619439.284 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.284 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550619439.284 * [misc]taylor: Taking taylor expansion of -1 in n 1550619439.284 * [misc]backup-simplify: Simplify -1 into -1 1550619439.284 * [misc]taylor: Taking taylor expansion of n in n 1550619439.284 * [misc]backup-simplify: Simplify 0 into 0 1550619439.284 * [misc]backup-simplify: Simplify 1 into 1 1550619439.285 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550619439.285 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550619439.285 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.285 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.285 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550619439.285 * [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))) 1550619439.285 * [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)))) 1550619439.285 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550619439.285 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1550619439.285 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1550619439.285 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550619439.285 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550619439.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550619439.286 * [misc]taylor: Taking taylor expansion of k in n 1550619439.286 * [misc]backup-simplify: Simplify k into k 1550619439.286 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550619439.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550619439.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550619439.286 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550619439.286 * [misc]taylor: Taking taylor expansion of PI in n 1550619439.286 * [misc]backup-simplify: Simplify PI into PI 1550619439.286 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550619439.286 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550619439.286 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550619439.286 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550619439.286 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550619439.287 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550619439.287 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550619439.287 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.288 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550619439.289 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (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 -1) (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 -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))))))))) 1550619439.290 * * * [misc]progress: simplifying candidates 1550619439.290 * * * * [misc]progress: [ 1 / 327 ] simplifiying candidate # 1550619439.290 * * * * [misc]progress: [ 2 / 327 ] simplifiying candidate # 1550619439.290 * [enter]simplify: Simplifying (pow n (* 1/2 k)) 1550619439.290 * * [misc]simplify: iters left: 3 (5 enodes) 1550619439.293 * * [misc]simplify: iters left: 2 (16 enodes) 1550619439.297 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.297 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619439.297 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619439.297 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1550619439.297 * [exit]simplify: Simplified to (pow n (* k 1/2)) 1550619439.297 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (/ (pow n 1/2) (pow n (* k 1/2))))))) 1550619439.297 * * * * [misc]progress: [ 3 / 327 ] simplifiying candidate # 1550619439.298 * [enter]simplify: Simplifying (cbrt (- 1/2 (* 1/2 k))) 1550619439.298 * * [misc]simplify: iters left: 5 (5 enodes) 1550619439.300 * * [misc]simplify: iters left: 4 (18 enodes) 1550619439.305 * * [misc]simplify: iters left: 3 (28 enodes) 1550619439.310 * * [misc]simplify: iters left: 2 (35 enodes) 1550619439.315 * * [misc]simplify: iters left: 1 (43 enodes) 1550619439.322 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.322 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619439.322 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619439.322 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619439.322 * * [misc]simplify: Extracting #4: cost 9 inf + 129 1550619439.322 * * [misc]simplify: Extracting #5: cost 2 inf + 502 1550619439.322 * * [misc]simplify: Extracting #6: cost 0 inf + 826 1550619439.323 * [exit]simplify: Simplified to (cbrt (- 1/2 (* 1/2 k))) 1550619439.323 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (pow n (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))))))) 1550619439.323 * * * * [misc]progress: [ 4 / 327 ] simplifiying candidate # 1550619439.323 * [enter]simplify: Simplifying (sqrt (- 1/2 (* 1/2 k))) 1550619439.323 * * [misc]simplify: iters left: 5 (5 enodes) 1550619439.325 * * [misc]simplify: iters left: 4 (18 enodes) 1550619439.328 * * [misc]simplify: iters left: 3 (28 enodes) 1550619439.332 * * [misc]simplify: iters left: 2 (35 enodes) 1550619439.341 * * [misc]simplify: iters left: 1 (43 enodes) 1550619439.355 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.355 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619439.355 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619439.355 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619439.355 * * [misc]simplify: Extracting #4: cost 9 inf + 129 1550619439.356 * * [misc]simplify: Extracting #5: cost 2 inf + 502 1550619439.356 * * [misc]simplify: Extracting #6: cost 0 inf + 746 1550619439.357 * [exit]simplify: Simplified to (sqrt (- 1/2 (* 1/2 k))) 1550619439.357 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (pow n (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))))))) 1550619439.357 * * * * [misc]progress: [ 5 / 327 ] simplifiying candidate # 1550619439.357 * [enter]simplify: Simplifying (- 1/2 (* 1/2 k)) 1550619439.357 * * [misc]simplify: iters left: 4 (4 enodes) 1550619439.360 * * [misc]simplify: iters left: 3 (15 enodes) 1550619439.365 * * [misc]simplify: iters left: 2 (25 enodes) 1550619439.373 * * [misc]simplify: iters left: 1 (32 enodes) 1550619439.385 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.385 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619439.385 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619439.385 * * [misc]simplify: Extracting #3: cost 9 inf + 45 1550619439.385 * * [misc]simplify: Extracting #4: cost 2 inf + 418 1550619439.385 * * [misc]simplify: Extracting #5: cost 0 inf + 582 1550619439.385 * [exit]simplify: Simplified to (- 1/2 (* 1/2 k)) 1550619439.385 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (pow n 1) (- 1/2 (* 1/2 k))))))) 1550619439.385 * * * * [misc]progress: [ 6 / 327 ] simplifiying candidate # 1550619439.386 * [enter]simplify: Simplifying (pow n (- (* 1/2 k))) 1550619439.386 * * [misc]simplify: iters left: 5 (6 enodes) 1550619439.388 * * [misc]simplify: iters left: 4 (24 enodes) 1550619439.392 * * [misc]simplify: iters left: 3 (30 enodes) 1550619439.396 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.396 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619439.396 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619439.396 * * [misc]simplify: Extracting #3: cost 6 inf + 87 1550619439.396 * * [misc]simplify: Extracting #4: cost 2 inf + 465 1550619439.396 * * [misc]simplify: Extracting #5: cost 0 inf + 760 1550619439.396 * [exit]simplify: Simplified to (pow n (* -1/2 k)) 1550619439.397 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (* (pow n 1/2) (pow n (* -1/2 k))))))) 1550619439.397 * * * * [misc]progress: [ 7 / 327 ] simplifiying candidate # 1550619439.397 * [enter]simplify: Simplifying (pow n (- (* 1/2 k))) 1550619439.397 * * [misc]simplify: iters left: 5 (6 enodes) 1550619439.399 * * [misc]simplify: iters left: 4 (24 enodes) 1550619439.403 * * [misc]simplify: iters left: 3 (30 enodes) 1550619439.407 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.407 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619439.407 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619439.407 * * [misc]simplify: Extracting #3: cost 6 inf + 87 1550619439.408 * * [misc]simplify: Extracting #4: cost 2 inf + 465 1550619439.408 * * [misc]simplify: Extracting #5: cost 0 inf + 760 1550619439.408 * [exit]simplify: Simplified to (pow n (* -1/2 k)) 1550619439.408 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (* (pow n 1/2) (pow n (* -1/2 k))))))) 1550619439.408 * * * * [misc]progress: [ 8 / 327 ] simplifiying candidate # 1550619439.408 * * * * [misc]progress: [ 9 / 327 ] simplifiying candidate # 1550619439.408 * * * * [misc]progress: [ 10 / 327 ] simplifiying candidate # 1550619439.408 * * * * [misc]progress: [ 11 / 327 ] simplifiying candidate # 1550619439.408 * * * * [misc]progress: [ 12 / 327 ] simplifiying candidate # 1550619439.408 * * * * [misc]progress: [ 13 / 327 ] simplifiying candidate # 1550619439.408 * * * * [misc]progress: [ 14 / 327 ] simplifiying candidate # 1550619439.408 * * * * [misc]progress: [ 15 / 327 ] simplifiying candidate #real (real->posit16 (pow n (- 1/2 (* 1/2 k)))))))))> 1550619439.408 * * * * [misc]progress: [ 16 / 327 ] simplifiying candidate # 1550619439.408 * * * * [misc]progress: [ 17 / 327 ] simplifiying candidate # 1550619439.409 * [enter]simplify: Simplifying (pow PI (* 1/2 k)) 1550619439.409 * * [misc]simplify: iters left: 3 (5 enodes) 1550619439.410 * * [misc]simplify: iters left: 2 (16 enodes) 1550619439.413 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.413 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619439.413 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619439.413 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1550619439.413 * [exit]simplify: Simplified to (pow PI (* k 1/2)) 1550619439.413 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI 1/2) (pow PI (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619439.413 * * * * [misc]progress: [ 18 / 327 ] simplifiying candidate # 1550619439.413 * [enter]simplify: Simplifying (cbrt (- 1/2 (* 1/2 k))) 1550619439.413 * * [misc]simplify: iters left: 5 (5 enodes) 1550619439.415 * * [misc]simplify: iters left: 4 (18 enodes) 1550619439.418 * * [misc]simplify: iters left: 3 (28 enodes) 1550619439.423 * * [misc]simplify: iters left: 2 (35 enodes) 1550619439.428 * * [misc]simplify: iters left: 1 (43 enodes) 1550619439.439 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.439 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619439.439 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619439.439 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619439.439 * * [misc]simplify: Extracting #4: cost 9 inf + 129 1550619439.440 * * [misc]simplify: Extracting #5: cost 2 inf + 502 1550619439.440 * * [misc]simplify: Extracting #6: cost 0 inf + 826 1550619439.440 * [exit]simplify: Simplified to (cbrt (- 1/2 (* 1/2 k))) 1550619439.440 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619439.440 * * * * [misc]progress: [ 19 / 327 ] simplifiying candidate # 1550619439.440 * [enter]simplify: Simplifying (sqrt (- 1/2 (* 1/2 k))) 1550619439.440 * * [misc]simplify: iters left: 5 (5 enodes) 1550619439.442 * * [misc]simplify: iters left: 4 (18 enodes) 1550619439.445 * * [misc]simplify: iters left: 3 (28 enodes) 1550619439.449 * * [misc]simplify: iters left: 2 (35 enodes) 1550619439.454 * * [misc]simplify: iters left: 1 (43 enodes) 1550619439.462 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.462 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619439.462 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619439.462 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619439.462 * * [misc]simplify: Extracting #4: cost 9 inf + 129 1550619439.462 * * [misc]simplify: Extracting #5: cost 2 inf + 502 1550619439.462 * * [misc]simplify: Extracting #6: cost 0 inf + 746 1550619439.463 * [exit]simplify: Simplified to (sqrt (- 1/2 (* 1/2 k))) 1550619439.463 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow PI (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619439.463 * * * * [misc]progress: [ 20 / 327 ] simplifiying candidate # 1550619439.463 * [enter]simplify: Simplifying (- 1/2 (* 1/2 k)) 1550619439.463 * * [misc]simplify: iters left: 4 (4 enodes) 1550619439.464 * * [misc]simplify: iters left: 3 (15 enodes) 1550619439.470 * * [misc]simplify: iters left: 2 (25 enodes) 1550619439.481 * * [misc]simplify: iters left: 1 (32 enodes) 1550619439.490 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.490 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619439.490 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619439.490 * * [misc]simplify: Extracting #3: cost 9 inf + 45 1550619439.490 * * [misc]simplify: Extracting #4: cost 2 inf + 418 1550619439.491 * * [misc]simplify: Extracting #5: cost 0 inf + 582 1550619439.491 * [exit]simplify: Simplified to (- 1/2 (* 1/2 k)) 1550619439.491 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow PI 1) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619439.491 * * * * [misc]progress: [ 21 / 327 ] simplifiying candidate # 1550619439.492 * [enter]simplify: Simplifying (pow PI (- (* 1/2 k))) 1550619439.492 * * [misc]simplify: iters left: 5 (6 enodes) 1550619439.495 * * [misc]simplify: iters left: 4 (24 enodes) 1550619439.502 * * [misc]simplify: iters left: 3 (30 enodes) 1550619439.510 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.510 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619439.510 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619439.511 * * [misc]simplify: Extracting #3: cost 6 inf + 87 1550619439.511 * * [misc]simplify: Extracting #4: cost 2 inf + 465 1550619439.511 * * [misc]simplify: Extracting #5: cost 0 inf + 760 1550619439.511 * [exit]simplify: Simplified to (pow PI (* -1/2 k)) 1550619439.511 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow PI 1/2) (pow PI (* -1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619439.511 * * * * [misc]progress: [ 22 / 327 ] simplifiying candidate # 1550619439.512 * [enter]simplify: Simplifying (pow PI (- (* 1/2 k))) 1550619439.512 * * [misc]simplify: iters left: 5 (6 enodes) 1550619439.515 * * [misc]simplify: iters left: 4 (24 enodes) 1550619439.522 * * [misc]simplify: iters left: 3 (30 enodes) 1550619439.530 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.530 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619439.530 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619439.530 * * [misc]simplify: Extracting #3: cost 6 inf + 87 1550619439.530 * * [misc]simplify: Extracting #4: cost 2 inf + 465 1550619439.531 * * [misc]simplify: Extracting #5: cost 0 inf + 760 1550619439.531 * [exit]simplify: Simplified to (pow PI (* -1/2 k)) 1550619439.531 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow PI 1/2) (pow PI (* -1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619439.531 * * * * [misc]progress: [ 23 / 327 ] simplifiying candidate # 1550619439.531 * * * * [misc]progress: [ 24 / 327 ] simplifiying candidate # 1550619439.531 * * * * [misc]progress: [ 25 / 327 ] simplifiying candidate # 1550619439.531 * * * * [misc]progress: [ 26 / 327 ] simplifiying candidate # 1550619439.531 * * * * [misc]progress: [ 27 / 327 ] simplifiying candidate # 1550619439.532 * * * * [misc]progress: [ 28 / 327 ] simplifiying candidate # 1550619439.532 * * * * [misc]progress: [ 29 / 327 ] simplifiying candidate # 1550619439.532 * * * * [misc]progress: [ 30 / 327 ] simplifiying candidate #real (real->posit16 (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))> 1550619439.532 * * * * [misc]progress: [ 31 / 327 ] simplifiying candidate # 1550619439.532 * * * * [misc]progress: [ 32 / 327 ] simplifiying candidate # 1550619439.532 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (- (log (sqrt k)) (* (log n) (- 1/2 (* 1/2 k)))))) 1550619439.532 * * [misc]simplify: iters left: 6 (18 enodes) 1550619439.541 * * [misc]simplify: iters left: 5 (69 enodes) 1550619439.563 * * [misc]simplify: iters left: 4 (134 enodes) 1550619439.604 * * [misc]simplify: iters left: 3 (374 enodes) 1550619439.737 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619439.737 * * [misc]simplify: Extracting #1: cost 73 inf + 0 1550619439.739 * * [misc]simplify: Extracting #2: cost 326 inf + 0 1550619439.741 * * [misc]simplify: Extracting #3: cost 347 inf + 513 1550619439.745 * * [misc]simplify: Extracting #4: cost 305 inf + 7153 1550619439.757 * * [misc]simplify: Extracting #5: cost 187 inf + 40704 1550619439.788 * * [misc]simplify: Extracting #6: cost 24 inf + 107974 1550619439.816 * * [misc]simplify: Extracting #7: cost 0 inf + 116979 1550619439.859 * * [misc]simplify: Extracting #8: cost 0 inf + 116819 1550619439.901 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (* (- 1/2 (* 1/2 k)) (log n))) (log (sqrt k))) 1550619439.901 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (* (- 1/2 (* 1/2 k)) (log n))) (log (sqrt k))))) 1550619439.901 * * * * [misc]progress: [ 33 / 327 ] simplifiying candidate # 1550619439.901 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (- (log (sqrt k)) (log (pow n (- 1/2 (* 1/2 k))))))) 1550619439.902 * * [misc]simplify: iters left: 6 (18 enodes) 1550619439.912 * * [misc]simplify: iters left: 5 (70 enodes) 1550619439.937 * * [misc]simplify: iters left: 4 (130 enodes) 1550619439.974 * * [misc]simplify: iters left: 3 (323 enodes) 1550619440.094 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619440.095 * * [misc]simplify: Extracting #1: cost 78 inf + 0 1550619440.095 * * [misc]simplify: Extracting #2: cost 296 inf + 0 1550619440.097 * * [misc]simplify: Extracting #3: cost 313 inf + 665 1550619440.099 * * [misc]simplify: Extracting #4: cost 251 inf + 14552 1550619440.116 * * [misc]simplify: Extracting #5: cost 57 inf + 87308 1550619440.149 * * [misc]simplify: Extracting #6: cost 0 inf + 106319 1550619440.169 * * [misc]simplify: Extracting #7: cost 0 inf + 105588 1550619440.208 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))) (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k)))) 1550619440.208 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))) (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k)))))) 1550619440.208 * * * * [misc]progress: [ 34 / 327 ] simplifiying candidate # 1550619440.209 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619440.209 * * [misc]simplify: iters left: 6 (17 enodes) 1550619440.217 * * [misc]simplify: iters left: 5 (64 enodes) 1550619440.238 * * [misc]simplify: iters left: 4 (111 enodes) 1550619440.273 * * [misc]simplify: iters left: 3 (263 enodes) 1550619440.351 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619440.351 * * [misc]simplify: Extracting #1: cost 57 inf + 0 1550619440.353 * * [misc]simplify: Extracting #2: cost 207 inf + 0 1550619440.354 * * [misc]simplify: Extracting #3: cost 225 inf + 443 1550619440.359 * * [misc]simplify: Extracting #4: cost 157 inf + 14964 1550619440.381 * * [misc]simplify: Extracting #5: cost 24 inf + 71773 1550619440.407 * * [misc]simplify: Extracting #6: cost 0 inf + 75795 1550619440.434 * * [misc]simplify: Extracting #7: cost 0 inf + 73415 1550619440.464 * [exit]simplify: Simplified to (- (* (+ (log 2) (log PI)) (- 1/2 (* 1/2 k))) (- (log (sqrt k)) (* (- 1/2 (* 1/2 k)) (log n)))) 1550619440.464 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (log PI)) (- 1/2 (* 1/2 k))) (- (log (sqrt k)) (* (- 1/2 (* 1/2 k)) (log n)))))) 1550619440.464 * * * * [misc]progress: [ 35 / 327 ] simplifiying candidate # 1550619440.465 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (- (log (sqrt k)) (* (log n) (- 1/2 (* 1/2 k)))))) 1550619440.465 * * [misc]simplify: iters left: 6 (18 enodes) 1550619440.474 * * [misc]simplify: iters left: 5 (70 enodes) 1550619440.497 * * [misc]simplify: iters left: 4 (132 enodes) 1550619440.549 * * [misc]simplify: iters left: 3 (327 enodes) 1550619440.739 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619440.739 * * [misc]simplify: Extracting #1: cost 75 inf + 0 1550619440.740 * * [misc]simplify: Extracting #2: cost 283 inf + 0 1550619440.743 * * [misc]simplify: Extracting #3: cost 300 inf + 746 1550619440.746 * * [misc]simplify: Extracting #4: cost 264 inf + 6540 1550619440.756 * * [misc]simplify: Extracting #5: cost 172 inf + 36134 1550619440.784 * * [misc]simplify: Extracting #6: cost 26 inf + 89632 1550619440.821 * * [misc]simplify: Extracting #7: cost 0 inf + 98620 1550619440.859 * * [misc]simplify: Extracting #8: cost 0 inf + 98500 1550619440.894 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (* 1/2 k)) (log n)) (* (+ (log PI) (log 2)) (- 1/2 (* 1/2 k)))) (log (sqrt k))) 1550619440.895 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (* 1/2 k)) (log n)) (* (+ (log PI) (log 2)) (- 1/2 (* 1/2 k)))) (log (sqrt k))))) 1550619440.895 * * * * [misc]progress: [ 36 / 327 ] simplifiying candidate # 1550619440.895 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (- (log (sqrt k)) (log (pow n (- 1/2 (* 1/2 k))))))) 1550619440.895 * * [misc]simplify: iters left: 6 (18 enodes) 1550619440.904 * * [misc]simplify: iters left: 5 (71 enodes) 1550619440.927 * * [misc]simplify: iters left: 4 (128 enodes) 1550619440.959 * * [misc]simplify: iters left: 3 (272 enodes) 1550619441.076 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619441.076 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1550619441.078 * * [misc]simplify: Extracting #2: cost 249 inf + 0 1550619441.080 * * [misc]simplify: Extracting #3: cost 268 inf + 593 1550619441.084 * * [misc]simplify: Extracting #4: cost 213 inf + 8700 1550619441.095 * * [misc]simplify: Extracting #5: cost 113 inf + 37081 1550619441.124 * * [misc]simplify: Extracting #6: cost 5 inf + 81763 1550619441.155 * * [misc]simplify: Extracting #7: cost 0 inf + 83172 1550619441.189 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k))) (* (- 1/2 (* 1/2 k)) (+ (log n) (log 2)))) 1550619441.189 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k))) (* (- 1/2 (* 1/2 k)) (+ (log n) (log 2)))))) 1550619441.190 * * * * [misc]progress: [ 37 / 327 ] simplifiying candidate # 1550619441.190 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619441.190 * * [misc]simplify: iters left: 6 (17 enodes) 1550619441.198 * * [misc]simplify: iters left: 5 (65 enodes) 1550619441.218 * * [misc]simplify: iters left: 4 (109 enodes) 1550619441.245 * * [misc]simplify: iters left: 3 (217 enodes) 1550619441.308 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619441.308 * * [misc]simplify: Extracting #1: cost 48 inf + 0 1550619441.309 * * [misc]simplify: Extracting #2: cost 178 inf + 0 1550619441.310 * * [misc]simplify: Extracting #3: cost 195 inf + 332 1550619441.313 * * [misc]simplify: Extracting #4: cost 162 inf + 5940 1550619441.323 * * [misc]simplify: Extracting #5: cost 56 inf + 37294 1550619441.343 * * [misc]simplify: Extracting #6: cost 4 inf + 58876 1550619441.362 * * [misc]simplify: Extracting #7: cost 0 inf + 60213 1550619441.376 * * [misc]simplify: Extracting #8: cost 0 inf + 60133 1550619441.386 * [exit]simplify: Simplified to (+ (* (log n) (- 1/2 (* 1/2 k))) (- (* (- 1/2 (* 1/2 k)) (+ (log PI) (log 2))) (log (sqrt k)))) 1550619441.386 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (- (* (- 1/2 (* 1/2 k)) (+ (log PI) (log 2))) (log (sqrt k)))))) 1550619441.386 * * * * [misc]progress: [ 38 / 327 ] simplifiying candidate # 1550619441.386 * [enter]simplify: Simplifying (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619441.387 * * [misc]simplify: iters left: 6 (16 enodes) 1550619441.391 * * [misc]simplify: iters left: 5 (58 enodes) 1550619441.403 * * [misc]simplify: iters left: 4 (96 enodes) 1550619441.434 * * [misc]simplify: iters left: 3 (184 enodes) 1550619441.477 * * [misc]simplify: iters left: 2 (401 enodes) 1550619441.661 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619441.661 * * [misc]simplify: Extracting #1: cost 58 inf + 0 1550619441.662 * * [misc]simplify: Extracting #2: cost 245 inf + 0 1550619441.663 * * [misc]simplify: Extracting #3: cost 272 inf + 454 1550619441.666 * * [misc]simplify: Extracting #4: cost 210 inf + 16859 1550619441.677 * * [misc]simplify: Extracting #5: cost 73 inf + 74691 1550619441.701 * * [misc]simplify: Extracting #6: cost 1 inf + 91794 1550619441.740 * * [misc]simplify: Extracting #7: cost 0 inf + 86125 1550619441.764 * * [misc]simplify: Extracting #8: cost 0 inf + 86025 1550619441.781 * [exit]simplify: Simplified to (- (* (- 1/2 (* 1/2 k)) (+ (log n) (log PI))) (- (log (sqrt k)) (* (- 1/2 (* 1/2 k)) (log 2)))) 1550619441.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* 1/2 k)) (+ (log n) (log PI))) (- (log (sqrt k)) (* (- 1/2 (* 1/2 k)) (log 2)))))) 1550619441.782 * * * * [misc]progress: [ 39 / 327 ] simplifiying candidate # 1550619441.782 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (- (log (sqrt k)) (* (log n) (- 1/2 (* 1/2 k)))))) 1550619441.782 * * [misc]simplify: iters left: 6 (18 enodes) 1550619441.789 * * [misc]simplify: iters left: 5 (70 enodes) 1550619441.810 * * [misc]simplify: iters left: 4 (132 enodes) 1550619441.844 * * [misc]simplify: iters left: 3 (331 enodes) 1550619441.972 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619441.972 * * [misc]simplify: Extracting #1: cost 76 inf + 0 1550619441.973 * * [misc]simplify: Extracting #2: cost 288 inf + 0 1550619441.974 * * [misc]simplify: Extracting #3: cost 302 inf + 624 1550619441.977 * * [misc]simplify: Extracting #4: cost 249 inf + 12203 1550619442.006 * * [misc]simplify: Extracting #5: cost 70 inf + 77414 1550619442.044 * * [misc]simplify: Extracting #6: cost 0 inf + 100695 1550619442.064 * * [misc]simplify: Extracting #7: cost 0 inf + 99535 1550619442.084 * * [misc]simplify: Extracting #8: cost 0 inf + 99495 1550619442.104 * [exit]simplify: Simplified to (- (* (- 1/2 (* k 1/2)) (log PI)) (- (log (sqrt k)) (* (- 1/2 (* k 1/2)) (+ (log 2) (log n))))) 1550619442.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* k 1/2)) (log PI)) (- (log (sqrt k)) (* (- 1/2 (* k 1/2)) (+ (log 2) (log n))))))) 1550619442.105 * * * * [misc]progress: [ 40 / 327 ] simplifiying candidate # 1550619442.105 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (- (log (sqrt k)) (log (pow n (- 1/2 (* 1/2 k))))))) 1550619442.105 * * [misc]simplify: iters left: 6 (18 enodes) 1550619442.111 * * [misc]simplify: iters left: 5 (71 enodes) 1550619442.129 * * [misc]simplify: iters left: 4 (128 enodes) 1550619442.171 * * [misc]simplify: iters left: 3 (276 enodes) 1550619442.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619442.306 * * [misc]simplify: Extracting #1: cost 68 inf + 0 1550619442.310 * * [misc]simplify: Extracting #2: cost 254 inf + 0 1550619442.311 * * [misc]simplify: Extracting #3: cost 269 inf + 554 1550619442.313 * * [misc]simplify: Extracting #4: cost 223 inf + 12471 1550619442.325 * * [misc]simplify: Extracting #5: cost 52 inf + 78001 1550619442.343 * * [misc]simplify: Extracting #6: cost 0 inf + 85989 1550619442.373 * * [misc]simplify: Extracting #7: cost 0 inf + 85096 1550619442.404 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (* k 1/2)) (log PI)) (log (sqrt k))) (* (+ (log 2) (log n)) (- 1/2 (* k 1/2)))) 1550619442.404 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (* k 1/2)) (log PI)) (log (sqrt k))) (* (+ (log 2) (log n)) (- 1/2 (* k 1/2)))))) 1550619442.404 * * * * [misc]progress: [ 41 / 327 ] simplifiying candidate # 1550619442.405 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619442.405 * * [misc]simplify: iters left: 6 (17 enodes) 1550619442.413 * * [misc]simplify: iters left: 5 (65 enodes) 1550619442.436 * * [misc]simplify: iters left: 4 (109 enodes) 1550619442.465 * * [misc]simplify: iters left: 3 (225 enodes) 1550619442.522 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619442.523 * * [misc]simplify: Extracting #1: cost 53 inf + 0 1550619442.523 * * [misc]simplify: Extracting #2: cost 183 inf + 0 1550619442.524 * * [misc]simplify: Extracting #3: cost 200 inf + 210 1550619442.525 * * [misc]simplify: Extracting #4: cost 152 inf + 11987 1550619442.536 * * [misc]simplify: Extracting #5: cost 25 inf + 59737 1550619442.559 * * [misc]simplify: Extracting #6: cost 0 inf + 65143 1550619442.581 * * [misc]simplify: Extracting #7: cost 0 inf + 61322 1550619442.604 * * [misc]simplify: Extracting #8: cost 0 inf + 61282 1550619442.627 * [exit]simplify: Simplified to (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (+ (log 2) (log PI)) (- 1/2 (* k 1/2))) (log (sqrt k)))) 1550619442.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (+ (log 2) (log PI)) (- 1/2 (* k 1/2))) (log (sqrt k)))))) 1550619442.627 * * * * [misc]progress: [ 42 / 327 ] simplifiying candidate # 1550619442.627 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (- (log (sqrt k)) (* (log n) (- 1/2 (* 1/2 k)))))) 1550619442.628 * * [misc]simplify: iters left: 6 (18 enodes) 1550619442.637 * * [misc]simplify: iters left: 5 (71 enodes) 1550619442.654 * * [misc]simplify: iters left: 4 (130 enodes) 1550619442.678 * * [misc]simplify: iters left: 3 (280 enodes) 1550619442.834 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619442.834 * * [misc]simplify: Extracting #1: cost 60 inf + 0 1550619442.835 * * [misc]simplify: Extracting #2: cost 242 inf + 0 1550619443.196 * * [misc]simplify: Extracting #3: cost 258 inf + 552 1550619443.199 * * [misc]simplify: Extracting #4: cost 220 inf + 6817 1550619443.213 * * [misc]simplify: Extracting #5: cost 72 inf + 47857 1550619443.229 * * [misc]simplify: Extracting #6: cost 1 inf + 79163 1550619443.243 * * [misc]simplify: Extracting #7: cost 0 inf + 79768 1550619443.258 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (* k 1/2)) (log PI)) (* (+ (log 2) (log n)) (- 1/2 (* k 1/2)))) (log (sqrt k))) 1550619443.258 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (* k 1/2)) (log PI)) (* (+ (log 2) (log n)) (- 1/2 (* k 1/2)))) (log (sqrt k))))) 1550619443.258 * * * * [misc]progress: [ 43 / 327 ] simplifiying candidate # 1550619443.258 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (- (log (sqrt k)) (log (pow n (- 1/2 (* 1/2 k))))))) 1550619443.259 * * [misc]simplify: iters left: 6 (18 enodes) 1550619443.263 * * [misc]simplify: iters left: 5 (72 enodes) 1550619443.280 * * [misc]simplify: iters left: 4 (126 enodes) 1550619443.320 * * [misc]simplify: iters left: 3 (224 enodes) 1550619443.414 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619443.414 * * [misc]simplify: Extracting #1: cost 48 inf + 0 1550619443.414 * * [misc]simplify: Extracting #2: cost 205 inf + 0 1550619443.415 * * [misc]simplify: Extracting #3: cost 219 inf + 347 1550619443.416 * * [misc]simplify: Extracting #4: cost 184 inf + 9853 1550619443.424 * * [misc]simplify: Extracting #5: cost 50 inf + 60058 1550619443.437 * * [misc]simplify: Extracting #6: cost 0 inf + 67374 1550619443.458 * * [misc]simplify: Extracting #7: cost 0 inf + 65141 1550619443.472 * * [misc]simplify: Extracting #8: cost 0 inf + 65100 1550619443.484 * [exit]simplify: Simplified to (+ (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (- (* (- 1/2 (* k 1/2)) (log 2)) (log (sqrt k)))) 1550619443.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (- (* (- 1/2 (* k 1/2)) (log 2)) (log (sqrt k)))))) 1550619443.484 * * * * [misc]progress: [ 44 / 327 ] simplifiying candidate # 1550619443.484 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619443.484 * * [misc]simplify: iters left: 6 (17 enodes) 1550619443.489 * * [misc]simplify: iters left: 5 (66 enodes) 1550619443.501 * * [misc]simplify: iters left: 4 (107 enodes) 1550619443.518 * * [misc]simplify: iters left: 3 (179 enodes) 1550619443.591 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619443.591 * * [misc]simplify: Extracting #1: cost 39 inf + 0 1550619443.591 * * [misc]simplify: Extracting #2: cost 156 inf + 0 1550619443.592 * * [misc]simplify: Extracting #3: cost 174 inf + 44 1550619443.593 * * [misc]simplify: Extracting #4: cost 148 inf + 3041 1550619443.596 * * [misc]simplify: Extracting #5: cost 82 inf + 23353 1550619443.603 * * [misc]simplify: Extracting #6: cost 12 inf + 47401 1550619443.612 * * [misc]simplify: Extracting #7: cost 0 inf + 50371 1550619443.621 * [exit]simplify: Simplified to (- (* (- 1/2 (* k 1/2)) (log PI)) (- (log (sqrt k)) (* (- 1/2 (* k 1/2)) (+ (log n) (log 2))))) 1550619443.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* k 1/2)) (log PI)) (- (log (sqrt k)) (* (- 1/2 (* k 1/2)) (+ (log n) (log 2))))))) 1550619443.621 * * * * [misc]progress: [ 45 / 327 ] simplifiying candidate # 1550619443.621 * [enter]simplify: Simplifying (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619443.621 * * [misc]simplify: iters left: 6 (16 enodes) 1550619443.626 * * [misc]simplify: iters left: 5 (59 enodes) 1550619443.644 * * [misc]simplify: iters left: 4 (94 enodes) 1550619443.659 * * [misc]simplify: iters left: 3 (154 enodes) 1550619443.701 * * [misc]simplify: iters left: 2 (350 enodes) 1550619443.858 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619443.858 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1550619443.859 * * [misc]simplify: Extracting #2: cost 274 inf + 0 1550619443.860 * * [misc]simplify: Extracting #3: cost 305 inf + 616 1550619443.863 * * [misc]simplify: Extracting #4: cost 265 inf + 13097 1550619443.871 * * [misc]simplify: Extracting #5: cost 142 inf + 56756 1550619443.902 * * [misc]simplify: Extracting #6: cost 8 inf + 99284 1550619443.921 * * [misc]simplify: Extracting #7: cost 0 inf + 96577 1550619443.951 * * [misc]simplify: Extracting #8: cost 0 inf + 96396 1550619443.988 * * [misc]simplify: Extracting #9: cost 0 inf + 96355 1550619444.026 * [exit]simplify: Simplified to (- (* (- 1/2 (* k 1/2)) (+ (log 2) (log PI))) (- (log (sqrt k)) (* (- 1/2 (* k 1/2)) (log n)))) 1550619444.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* k 1/2)) (+ (log 2) (log PI))) (- (log (sqrt k)) (* (- 1/2 (* k 1/2)) (log n)))))) 1550619444.027 * * * * [misc]progress: [ 46 / 327 ] simplifiying candidate # 1550619444.027 * * * * [misc]progress: [ 47 / 327 ] simplifiying candidate # 1550619444.027 * * * * [misc]progress: [ 48 / 327 ] simplifiying candidate # 1550619444.027 * [enter]simplify: Simplifying (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k))))))) 1550619444.027 * * [misc]simplify: iters left: 6 (22 enodes) 1550619444.038 * * [misc]simplify: iters left: 5 (87 enodes) 1550619444.066 * * [misc]simplify: iters left: 4 (237 enodes) 1550619444.189 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619444.190 * * [misc]simplify: Extracting #1: cost 140 inf + 0 1550619444.192 * * [misc]simplify: Extracting #2: cost 399 inf + 1 1550619444.195 * * [misc]simplify: Extracting #3: cost 411 inf + 168 1550619444.215 * * [misc]simplify: Extracting #4: cost 259 inf + 90875 1550619444.284 * * [misc]simplify: Extracting #5: cost 23 inf + 265104 1550619444.374 * * [misc]simplify: Extracting #6: cost 0 inf + 283761 1550619444.441 * * [misc]simplify: Extracting #7: cost 0 inf + 283721 1550619444.496 * [exit]simplify: Simplified to (* (/ (/ (* (pow PI (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))) (/ k (pow n (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (* (pow n (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2))))))) 1550619444.496 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (* (pow PI (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))) (/ k (pow n (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (* (pow n (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2))))))))) 1550619444.496 * * * * [misc]progress: [ 49 / 327 ] simplifiying candidate # 1550619444.497 * [enter]simplify: Simplifying (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (* (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619444.497 * * [misc]simplify: iters left: 6 (20 enodes) 1550619444.503 * * [misc]simplify: iters left: 5 (84 enodes) 1550619444.521 * * [misc]simplify: iters left: 4 (223 enodes) 1550619444.602 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619444.602 * * [misc]simplify: Extracting #1: cost 82 inf + 0 1550619444.603 * * [misc]simplify: Extracting #2: cost 265 inf + 0 1550619444.604 * * [misc]simplify: Extracting #3: cost 276 inf + 46 1550619444.607 * * [misc]simplify: Extracting #4: cost 230 inf + 24479 1550619444.651 * * [misc]simplify: Extracting #5: cost 42 inf + 166074 1550619444.711 * * [misc]simplify: Extracting #6: cost 0 inf + 198886 1550619444.748 * * [misc]simplify: Extracting #7: cost 0 inf + 198806 1550619444.808 * [exit]simplify: Simplified to (* (* (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))))) (pow 2 (- 1/2 (* k 1/2)))) 1550619444.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))))) (pow 2 (- 1/2 (* k 1/2)))))) 1550619444.808 * * * * [misc]progress: [ 50 / 327 ] simplifiying candidate # 1550619444.808 * [enter]simplify: Simplifying (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619444.809 * * [misc]simplify: iters left: 6 (18 enodes) 1550619444.817 * * [misc]simplify: iters left: 5 (72 enodes) 1550619444.842 * * [misc]simplify: iters left: 4 (166 enodes) 1550619444.937 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619444.938 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1550619444.938 * * [misc]simplify: Extracting #2: cost 171 inf + 0 1550619444.940 * * [misc]simplify: Extracting #3: cost 184 inf + 4 1550619444.946 * * [misc]simplify: Extracting #4: cost 143 inf + 26252 1550619444.978 * * [misc]simplify: Extracting #5: cost 28 inf + 110332 1550619445.019 * * [misc]simplify: Extracting #6: cost 0 inf + 130076 1550619445.062 * * [misc]simplify: Extracting #7: cost 0 inf + 130036 1550619445.102 * [exit]simplify: Simplified to (* (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2))))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619445.103 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2))))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619445.103 * * * * [misc]progress: [ 51 / 327 ] simplifiying candidate # 1550619445.103 * * * * [misc]progress: [ 52 / 327 ] simplifiying candidate # 1550619445.103 * * * * [misc]progress: [ 53 / 327 ] simplifiying candidate # 1550619445.103 * * * * [misc]progress: [ 54 / 327 ] simplifiying candidate # 1550619445.103 * [enter]simplify: Simplifying (* (pow 2 1/2) (pow PI (- 1/2 (* 1/2 k)))) 1550619445.104 * * [misc]simplify: iters left: 6 (9 enodes) 1550619445.109 * * [misc]simplify: iters left: 5 (32 enodes) 1550619445.119 * * [misc]simplify: iters left: 4 (42 enodes) 1550619445.132 * * [misc]simplify: iters left: 3 (49 enodes) 1550619445.147 * * [misc]simplify: iters left: 2 (57 enodes) 1550619445.165 * * [misc]simplify: iters left: 1 (66 enodes) 1550619445.176 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.176 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619445.176 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619445.176 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1550619445.176 * * [misc]simplify: Extracting #4: cost 16 inf + 85 1550619445.176 * * [misc]simplify: Extracting #5: cost 12 inf + 172 1550619445.176 * * [misc]simplify: Extracting #6: cost 2 inf + 1172 1550619445.176 * * [misc]simplify: Extracting #7: cost 0 inf + 1920 1550619445.177 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (* 1/2 k))) (sqrt 2)) 1550619445.177 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow 2 (* 1/2 k)) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619445.177 * [enter]simplify: Simplifying (* (pow 2 (* 1/2 k)) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619445.177 * * [misc]simplify: iters left: 6 (11 enodes) 1550619445.180 * * [misc]simplify: iters left: 5 (39 enodes) 1550619445.187 * * [misc]simplify: iters left: 4 (55 enodes) 1550619445.195 * * [misc]simplify: iters left: 3 (66 enodes) 1550619445.213 * * [misc]simplify: iters left: 2 (78 enodes) 1550619445.235 * * [misc]simplify: iters left: 1 (90 enodes) 1550619445.256 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.256 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1550619445.257 * * [misc]simplify: Extracting #2: cost 23 inf + 0 1550619445.257 * * [misc]simplify: Extracting #3: cost 23 inf + 85 1550619445.257 * * [misc]simplify: Extracting #4: cost 27 inf + 86 1550619445.257 * * [misc]simplify: Extracting #5: cost 14 inf + 2759 1550619445.259 * * [misc]simplify: Extracting #6: cost 3 inf + 6341 1550619445.260 * * [misc]simplify: Extracting #7: cost 0 inf + 7260 1550619445.262 * [exit]simplify: Simplified to (* (/ (pow 2 (* k 1/2)) (pow n (- 1/2 (* k 1/2)))) (sqrt k)) 1550619445.262 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (* 1/2 k))) (sqrt 2)) (* (/ (pow 2 (* k 1/2)) (pow n (- 1/2 (* k 1/2)))) (sqrt k)))) 1550619445.262 * * * * [misc]progress: [ 55 / 327 ] simplifiying candidate # 1550619445.262 * * * * [misc]progress: [ 56 / 327 ] simplifiying candidate # 1550619445.262 * [enter]simplify: Simplifying (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619445.263 * * [misc]simplify: iters left: 6 (12 enodes) 1550619445.268 * * [misc]simplify: iters left: 5 (41 enodes) 1550619445.280 * * [misc]simplify: iters left: 4 (56 enodes) 1550619445.295 * * [misc]simplify: iters left: 3 (67 enodes) 1550619445.313 * * [misc]simplify: iters left: 2 (75 enodes) 1550619445.333 * * [misc]simplify: iters left: 1 (84 enodes) 1550619445.355 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.356 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619445.356 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619445.356 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550619445.356 * * [misc]simplify: Extracting #4: cost 20 inf + 85 1550619445.356 * * [misc]simplify: Extracting #5: cost 25 inf + 86 1550619445.356 * * [misc]simplify: Extracting #6: cost 14 inf + 2464 1550619445.358 * * [misc]simplify: Extracting #7: cost 3 inf + 5875 1550619445.359 * * [misc]simplify: Extracting #8: cost 0 inf + 6994 1550619445.361 * [exit]simplify: Simplified to (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619445.361 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619445.361 * * * * [misc]progress: [ 57 / 327 ] simplifiying candidate # 1550619445.361 * [enter]simplify: Simplifying (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619445.362 * * [misc]simplify: iters left: 6 (12 enodes) 1550619445.366 * * [misc]simplify: iters left: 5 (41 enodes) 1550619445.372 * * [misc]simplify: iters left: 4 (56 enodes) 1550619445.380 * * [misc]simplify: iters left: 3 (67 enodes) 1550619445.389 * * [misc]simplify: iters left: 2 (75 enodes) 1550619445.402 * * [misc]simplify: iters left: 1 (84 enodes) 1550619445.421 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.421 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619445.421 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619445.422 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550619445.422 * * [misc]simplify: Extracting #4: cost 20 inf + 85 1550619445.422 * * [misc]simplify: Extracting #5: cost 25 inf + 86 1550619445.422 * * [misc]simplify: Extracting #6: cost 14 inf + 2464 1550619445.424 * * [misc]simplify: Extracting #7: cost 3 inf + 5835 1550619445.425 * * [misc]simplify: Extracting #8: cost 0 inf + 6914 1550619445.427 * [exit]simplify: Simplified to (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619445.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619445.427 * * * * [misc]progress: [ 58 / 327 ] simplifiying candidate # 1550619445.427 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619445.427 * * [misc]simplify: iters left: 6 (13 enodes) 1550619445.434 * * [misc]simplify: iters left: 5 (46 enodes) 1550619445.446 * * [misc]simplify: iters left: 4 (53 enodes) 1550619445.461 * * [misc]simplify: iters left: 3 (56 enodes) 1550619445.478 * * [misc]simplify: iters left: 2 (64 enodes) 1550619445.489 * * [misc]simplify: iters left: 1 (73 enodes) 1550619445.498 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.498 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619445.498 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619445.498 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619445.498 * * [misc]simplify: Extracting #4: cost 17 inf + 128 1550619445.499 * * [misc]simplify: Extracting #5: cost 10 inf + 965 1550619445.499 * * [misc]simplify: Extracting #6: cost 4 inf + 4282 1550619445.499 * * [misc]simplify: Extracting #7: cost 0 inf + 4820 1550619445.500 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619445.500 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) (/ (pow PI (* k -1/2)) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619445.500 * * * * [misc]progress: [ 59 / 327 ] simplifiying candidate # 1550619445.500 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619445.500 * * [misc]simplify: iters left: 6 (13 enodes) 1550619445.504 * * [misc]simplify: iters left: 5 (46 enodes) 1550619445.511 * * [misc]simplify: iters left: 4 (53 enodes) 1550619445.524 * * [misc]simplify: iters left: 3 (56 enodes) 1550619445.539 * * [misc]simplify: iters left: 2 (64 enodes) 1550619445.558 * * [misc]simplify: iters left: 1 (73 enodes) 1550619445.575 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.575 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619445.576 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619445.576 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619445.576 * * [misc]simplify: Extracting #4: cost 17 inf + 128 1550619445.576 * * [misc]simplify: Extracting #5: cost 10 inf + 965 1550619445.577 * * [misc]simplify: Extracting #6: cost 4 inf + 4162 1550619445.578 * * [misc]simplify: Extracting #7: cost 0 inf + 4660 1550619445.579 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619445.579 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619445.579 * * * * [misc]progress: [ 60 / 327 ] simplifiying candidate # 1550619445.579 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619445.580 * * [misc]simplify: iters left: 6 (12 enodes) 1550619445.585 * * [misc]simplify: iters left: 5 (44 enodes) 1550619445.599 * * [misc]simplify: iters left: 4 (55 enodes) 1550619445.609 * * [misc]simplify: iters left: 3 (59 enodes) 1550619445.617 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.617 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619445.617 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619445.617 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619445.617 * * [misc]simplify: Extracting #4: cost 17 inf + 370 1550619445.617 * * [misc]simplify: Extracting #5: cost 10 inf + 1085 1550619445.617 * * [misc]simplify: Extracting #6: cost 2 inf + 4662 1550619445.618 * * [misc]simplify: Extracting #7: cost 0 inf + 5579 1550619445.618 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))) 1550619445.618 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))))) 1550619445.619 * * * * [misc]progress: [ 61 / 327 ] simplifiying candidate # 1550619445.619 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619445.619 * * [misc]simplify: iters left: 6 (12 enodes) 1550619445.622 * * [misc]simplify: iters left: 5 (44 enodes) 1550619445.628 * * [misc]simplify: iters left: 4 (55 enodes) 1550619445.636 * * [misc]simplify: iters left: 3 (59 enodes) 1550619445.649 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.650 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619445.650 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619445.650 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619445.650 * * [misc]simplify: Extracting #4: cost 17 inf + 370 1550619445.650 * * [misc]simplify: Extracting #5: cost 10 inf + 1085 1550619445.651 * * [misc]simplify: Extracting #6: cost 2 inf + 4662 1550619445.652 * * [misc]simplify: Extracting #7: cost 0 inf + 5579 1550619445.653 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))) 1550619445.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))))) 1550619445.653 * * * * [misc]progress: [ 62 / 327 ] simplifiying candidate # 1550619445.653 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619445.654 * * [misc]simplify: iters left: 6 (14 enodes) 1550619445.660 * * [misc]simplify: iters left: 5 (51 enodes) 1550619445.674 * * [misc]simplify: iters left: 4 (63 enodes) 1550619445.691 * * [misc]simplify: iters left: 3 (70 enodes) 1550619445.710 * * [misc]simplify: iters left: 2 (78 enodes) 1550619445.733 * * [misc]simplify: iters left: 1 (87 enodes) 1550619445.755 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.755 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619445.755 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619445.756 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619445.756 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619445.756 * * [misc]simplify: Extracting #5: cost 18 inf + 872 1550619445.757 * * [misc]simplify: Extracting #6: cost 6 inf + 4766 1550619445.758 * * [misc]simplify: Extracting #7: cost 1 inf + 7496 1550619445.760 * * [misc]simplify: Extracting #8: cost 0 inf + 7538 1550619445.761 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619445.761 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619445.762 * * * * [misc]progress: [ 63 / 327 ] simplifiying candidate # 1550619445.762 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619445.762 * * [misc]simplify: iters left: 6 (14 enodes) 1550619445.769 * * [misc]simplify: iters left: 5 (51 enodes) 1550619445.783 * * [misc]simplify: iters left: 4 (63 enodes) 1550619445.800 * * [misc]simplify: iters left: 3 (70 enodes) 1550619445.818 * * [misc]simplify: iters left: 2 (78 enodes) 1550619445.840 * * [misc]simplify: iters left: 1 (87 enodes) 1550619445.861 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.861 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619445.861 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619445.861 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619445.861 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619445.862 * * [misc]simplify: Extracting #5: cost 18 inf + 872 1550619445.863 * * [misc]simplify: Extracting #6: cost 6 inf + 4606 1550619445.864 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619445.867 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619445.869 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619445.869 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619445.869 * * * * [misc]progress: [ 64 / 327 ] simplifiying candidate # 1550619445.869 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619445.869 * * [misc]simplify: iters left: 6 (13 enodes) 1550619445.876 * * [misc]simplify: iters left: 5 (48 enodes) 1550619445.889 * * [misc]simplify: iters left: 4 (60 enodes) 1550619445.901 * * [misc]simplify: iters left: 3 (67 enodes) 1550619445.911 * * [misc]simplify: iters left: 2 (75 enodes) 1550619445.924 * * [misc]simplify: iters left: 1 (84 enodes) 1550619445.944 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.944 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619445.944 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619445.944 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619445.944 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619445.945 * * [misc]simplify: Extracting #5: cost 15 inf + 873 1550619445.946 * * [misc]simplify: Extracting #6: cost 2 inf + 4982 1550619445.947 * * [misc]simplify: Extracting #7: cost 0 inf + 6312 1550619445.948 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (cbrt (sqrt k)))) 1550619445.948 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (cbrt (sqrt k)))))) 1550619445.949 * * * * [misc]progress: [ 65 / 327 ] simplifiying candidate # 1550619445.949 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619445.949 * * [misc]simplify: iters left: 6 (12 enodes) 1550619445.955 * * [misc]simplify: iters left: 5 (44 enodes) 1550619445.967 * * [misc]simplify: iters left: 4 (55 enodes) 1550619445.977 * * [misc]simplify: iters left: 3 (59 enodes) 1550619445.987 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619445.987 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619445.987 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619445.987 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619445.987 * * [misc]simplify: Extracting #4: cost 17 inf + 290 1550619445.988 * * [misc]simplify: Extracting #5: cost 10 inf + 1005 1550619445.988 * * [misc]simplify: Extracting #6: cost 2 inf + 4382 1550619445.989 * * [misc]simplify: Extracting #7: cost 0 inf + 5259 1550619445.989 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) 1550619445.989 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))))) 1550619445.989 * * * * [misc]progress: [ 66 / 327 ] simplifiying candidate # 1550619445.989 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619445.990 * * [misc]simplify: iters left: 6 (12 enodes) 1550619445.993 * * [misc]simplify: iters left: 5 (44 enodes) 1550619446.000 * * [misc]simplify: iters left: 4 (55 enodes) 1550619446.008 * * [misc]simplify: iters left: 3 (59 enodes) 1550619446.015 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.015 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.015 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619446.015 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619446.016 * * [misc]simplify: Extracting #4: cost 17 inf + 290 1550619446.016 * * [misc]simplify: Extracting #5: cost 10 inf + 1005 1550619446.016 * * [misc]simplify: Extracting #6: cost 2 inf + 4382 1550619446.017 * * [misc]simplify: Extracting #7: cost 0 inf + 5259 1550619446.017 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) 1550619446.017 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))))) 1550619446.017 * * * * [misc]progress: [ 67 / 327 ] simplifiying candidate # 1550619446.017 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619446.018 * * [misc]simplify: iters left: 6 (14 enodes) 1550619446.021 * * [misc]simplify: iters left: 5 (51 enodes) 1550619446.028 * * [misc]simplify: iters left: 4 (63 enodes) 1550619446.037 * * [misc]simplify: iters left: 3 (70 enodes) 1550619446.046 * * [misc]simplify: iters left: 2 (78 enodes) 1550619446.058 * * [misc]simplify: iters left: 1 (87 enodes) 1550619446.070 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.070 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.070 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619446.071 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619446.071 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619446.071 * * [misc]simplify: Extracting #5: cost 18 inf + 792 1550619446.072 * * [misc]simplify: Extracting #6: cost 6 inf + 4526 1550619446.072 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619446.073 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619446.074 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619446.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619446.074 * * * * [misc]progress: [ 68 / 327 ] simplifiying candidate # 1550619446.074 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619446.074 * * [misc]simplify: iters left: 6 (14 enodes) 1550619446.078 * * [misc]simplify: iters left: 5 (51 enodes) 1550619446.086 * * [misc]simplify: iters left: 4 (63 enodes) 1550619446.094 * * [misc]simplify: iters left: 3 (70 enodes) 1550619446.111 * * [misc]simplify: iters left: 2 (78 enodes) 1550619446.125 * * [misc]simplify: iters left: 1 (87 enodes) 1550619446.135 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.135 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.135 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619446.136 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619446.136 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619446.136 * * [misc]simplify: Extracting #5: cost 18 inf + 792 1550619446.136 * * [misc]simplify: Extracting #6: cost 6 inf + 4366 1550619446.137 * * [misc]simplify: Extracting #7: cost 1 inf + 6856 1550619446.138 * * [misc]simplify: Extracting #8: cost 0 inf + 6898 1550619446.138 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619446.138 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619446.139 * * * * [misc]progress: [ 69 / 327 ] simplifiying candidate # 1550619446.139 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619446.139 * * [misc]simplify: iters left: 6 (13 enodes) 1550619446.142 * * [misc]simplify: iters left: 5 (48 enodes) 1550619446.149 * * [misc]simplify: iters left: 4 (60 enodes) 1550619446.162 * * [misc]simplify: iters left: 3 (67 enodes) 1550619446.170 * * [misc]simplify: iters left: 2 (75 enodes) 1550619446.182 * * [misc]simplify: iters left: 1 (84 enodes) 1550619446.192 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.192 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.192 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619446.192 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619446.192 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619446.193 * * [misc]simplify: Extracting #5: cost 15 inf + 793 1550619446.194 * * [misc]simplify: Extracting #6: cost 2 inf + 4702 1550619446.195 * * [misc]simplify: Extracting #7: cost 0 inf + 5992 1550619446.196 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))) 1550619446.196 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))))) 1550619446.196 * * * * [misc]progress: [ 70 / 327 ] simplifiying candidate # 1550619446.197 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619446.197 * * [misc]simplify: iters left: 6 (11 enodes) 1550619446.203 * * [misc]simplify: iters left: 5 (41 enodes) 1550619446.215 * * [misc]simplify: iters left: 4 (52 enodes) 1550619446.229 * * [misc]simplify: iters left: 3 (56 enodes) 1550619446.242 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.242 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.242 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619446.242 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619446.242 * * [misc]simplify: Extracting #4: cost 16 inf + 170 1550619446.243 * * [misc]simplify: Extracting #5: cost 9 inf + 1638 1550619446.243 * * [misc]simplify: Extracting #6: cost 0 inf + 4857 1550619446.244 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))) 1550619446.244 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))))) 1550619446.245 * * * * [misc]progress: [ 71 / 327 ] simplifiying candidate # 1550619446.245 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619446.245 * * [misc]simplify: iters left: 6 (11 enodes) 1550619446.250 * * [misc]simplify: iters left: 5 (41 enodes) 1550619446.261 * * [misc]simplify: iters left: 4 (52 enodes) 1550619446.268 * * [misc]simplify: iters left: 3 (56 enodes) 1550619446.277 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.277 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.277 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619446.277 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619446.277 * * [misc]simplify: Extracting #4: cost 16 inf + 170 1550619446.277 * * [misc]simplify: Extracting #5: cost 9 inf + 1638 1550619446.278 * * [misc]simplify: Extracting #6: cost 0 inf + 4857 1550619446.278 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))) 1550619446.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))))) 1550619446.278 * * * * [misc]progress: [ 72 / 327 ] simplifiying candidate # 1550619446.278 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619446.278 * * [misc]simplify: iters left: 6 (13 enodes) 1550619446.283 * * [misc]simplify: iters left: 5 (48 enodes) 1550619446.296 * * [misc]simplify: iters left: 4 (60 enodes) 1550619446.308 * * [misc]simplify: iters left: 3 (67 enodes) 1550619446.318 * * [misc]simplify: iters left: 2 (75 enodes) 1550619446.328 * * [misc]simplify: iters left: 1 (84 enodes) 1550619446.344 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.344 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.344 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619446.344 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1550619446.344 * * [misc]simplify: Extracting #4: cost 22 inf + 128 1550619446.344 * * [misc]simplify: Extracting #5: cost 17 inf + 923 1550619446.345 * * [misc]simplify: Extracting #6: cost 4 inf + 5322 1550619446.347 * * [misc]simplify: Extracting #7: cost 0 inf + 6816 1550619446.348 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619446.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))))) 1550619446.349 * * * * [misc]progress: [ 73 / 327 ] simplifiying candidate # 1550619446.349 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619446.349 * * [misc]simplify: iters left: 6 (13 enodes) 1550619446.355 * * [misc]simplify: iters left: 5 (48 enodes) 1550619446.367 * * [misc]simplify: iters left: 4 (60 enodes) 1550619446.378 * * [misc]simplify: iters left: 3 (67 enodes) 1550619446.387 * * [misc]simplify: iters left: 2 (75 enodes) 1550619446.402 * * [misc]simplify: iters left: 1 (84 enodes) 1550619446.421 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.421 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.421 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619446.422 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1550619446.422 * * [misc]simplify: Extracting #4: cost 22 inf + 128 1550619446.422 * * [misc]simplify: Extracting #5: cost 17 inf + 923 1550619446.422 * * [misc]simplify: Extracting #6: cost 4 inf + 5082 1550619446.423 * * [misc]simplify: Extracting #7: cost 0 inf + 6496 1550619446.424 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619446.424 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k))))))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))))) 1550619446.424 * * * * [misc]progress: [ 74 / 327 ] simplifiying candidate # 1550619446.424 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619446.424 * * [misc]simplify: iters left: 6 (12 enodes) 1550619446.427 * * [misc]simplify: iters left: 5 (45 enodes) 1550619446.434 * * [misc]simplify: iters left: 4 (57 enodes) 1550619446.442 * * [misc]simplify: iters left: 3 (64 enodes) 1550619446.450 * * [misc]simplify: iters left: 2 (72 enodes) 1550619446.469 * * [misc]simplify: iters left: 1 (81 enodes) 1550619446.490 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.490 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.490 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619446.490 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619446.490 * * [misc]simplify: Extracting #4: cost 19 inf + 465 1550619446.490 * * [misc]simplify: Extracting #5: cost 10 inf + 2137 1550619446.491 * * [misc]simplify: Extracting #6: cost 0 inf + 5590 1550619446.492 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619446.492 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 1))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))))) 1550619446.492 * * * * [misc]progress: [ 75 / 327 ] simplifiying candidate # 1550619446.492 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619446.492 * * [misc]simplify: iters left: 6 (12 enodes) 1550619446.495 * * [misc]simplify: iters left: 5 (45 enodes) 1550619446.501 * * [misc]simplify: iters left: 4 (57 enodes) 1550619446.509 * * [misc]simplify: iters left: 3 (64 enodes) 1550619446.518 * * [misc]simplify: iters left: 2 (72 enodes) 1550619446.528 * * [misc]simplify: iters left: 1 (81 enodes) 1550619446.539 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.539 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.539 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619446.539 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619446.539 * * [misc]simplify: Extracting #4: cost 19 inf + 465 1550619446.540 * * [misc]simplify: Extracting #5: cost 10 inf + 2137 1550619446.541 * * [misc]simplify: Extracting #6: cost 0 inf + 5590 1550619446.542 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619446.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) 1)) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))))) 1550619446.542 * * * * [misc]progress: [ 76 / 327 ] simplifiying candidate # 1550619446.543 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619446.543 * * [misc]simplify: iters left: 6 (12 enodes) 1550619446.549 * * [misc]simplify: iters left: 5 (47 enodes) 1550619446.563 * * [misc]simplify: iters left: 4 (57 enodes) 1550619446.579 * * [misc]simplify: iters left: 3 (66 enodes) 1550619446.598 * * [misc]simplify: iters left: 2 (71 enodes) 1550619446.617 * * [misc]simplify: iters left: 1 (80 enodes) 1550619446.634 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.635 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619446.635 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1550619446.635 * * [misc]simplify: Extracting #3: cost 20 inf + 3 1550619446.635 * * [misc]simplify: Extracting #4: cost 17 inf + 131 1550619446.635 * * [misc]simplify: Extracting #5: cost 8 inf + 1302 1550619446.636 * * [misc]simplify: Extracting #6: cost 1 inf + 3437 1550619446.637 * * [misc]simplify: Extracting #7: cost 0 inf + 4022 1550619446.638 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (pow PI (* k -1/2))) 1550619446.638 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (pow PI (* k -1/2))))) 1550619446.638 * * * * [misc]progress: [ 77 / 327 ] simplifiying candidate # 1550619446.639 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (pow n (* 1/2 k))) 1550619446.639 * * [misc]simplify: iters left: 6 (9 enodes) 1550619446.643 * * [misc]simplify: iters left: 5 (33 enodes) 1550619446.653 * * [misc]simplify: iters left: 4 (39 enodes) 1550619446.663 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.663 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619446.663 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619446.663 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619446.663 * * [misc]simplify: Extracting #4: cost 9 inf + 341 1550619446.663 * * [misc]simplify: Extracting #5: cost 4 inf + 972 1550619446.664 * * [misc]simplify: Extracting #6: cost 0 inf + 2357 1550619446.664 * [exit]simplify: Simplified to (/ (pow PI (* -1/2 k)) (pow n (* k 1/2))) 1550619446.664 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt k) (pow n 1/2)))) (/ (pow PI (* -1/2 k)) (pow n (* k 1/2))))) 1550619446.664 * * * * [misc]progress: [ 78 / 327 ] simplifiying candidate # 1550619446.665 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619446.665 * * [misc]simplify: iters left: 6 (13 enodes) 1550619446.671 * * [misc]simplify: iters left: 5 (46 enodes) 1550619446.684 * * [misc]simplify: iters left: 4 (53 enodes) 1550619446.698 * * [misc]simplify: iters left: 3 (56 enodes) 1550619446.714 * * [misc]simplify: iters left: 2 (64 enodes) 1550619446.733 * * [misc]simplify: iters left: 1 (73 enodes) 1550619446.745 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.745 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619446.745 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619446.745 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619446.746 * * [misc]simplify: Extracting #4: cost 17 inf + 128 1550619446.746 * * [misc]simplify: Extracting #5: cost 10 inf + 965 1550619446.746 * * [misc]simplify: Extracting #6: cost 4 inf + 4282 1550619446.747 * * [misc]simplify: Extracting #7: cost 0 inf + 4820 1550619446.747 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619446.747 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) (/ (pow PI (* k -1/2)) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619446.747 * * * * [misc]progress: [ 79 / 327 ] simplifiying candidate # 1550619446.748 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619446.748 * * [misc]simplify: iters left: 6 (13 enodes) 1550619446.751 * * [misc]simplify: iters left: 5 (46 enodes) 1550619446.758 * * [misc]simplify: iters left: 4 (53 enodes) 1550619446.766 * * [misc]simplify: iters left: 3 (56 enodes) 1550619446.779 * * [misc]simplify: iters left: 2 (64 enodes) 1550619446.799 * * [misc]simplify: iters left: 1 (73 enodes) 1550619446.817 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.817 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619446.817 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619446.817 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619446.817 * * [misc]simplify: Extracting #4: cost 17 inf + 128 1550619446.817 * * [misc]simplify: Extracting #5: cost 10 inf + 965 1550619446.818 * * [misc]simplify: Extracting #6: cost 4 inf + 4162 1550619446.819 * * [misc]simplify: Extracting #7: cost 0 inf + 4660 1550619446.820 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619446.820 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619446.820 * * * * [misc]progress: [ 80 / 327 ] simplifiying candidate # 1550619446.821 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619446.821 * * [misc]simplify: iters left: 6 (12 enodes) 1550619446.826 * * [misc]simplify: iters left: 5 (44 enodes) 1550619446.838 * * [misc]simplify: iters left: 4 (55 enodes) 1550619446.853 * * [misc]simplify: iters left: 3 (59 enodes) 1550619446.870 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.870 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.870 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619446.870 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619446.870 * * [misc]simplify: Extracting #4: cost 17 inf + 370 1550619446.871 * * [misc]simplify: Extracting #5: cost 10 inf + 1085 1550619446.871 * * [misc]simplify: Extracting #6: cost 2 inf + 4662 1550619446.872 * * [misc]simplify: Extracting #7: cost 0 inf + 5579 1550619446.873 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))) 1550619446.873 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))))) 1550619446.874 * * * * [misc]progress: [ 81 / 327 ] simplifiying candidate # 1550619446.874 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619446.874 * * [misc]simplify: iters left: 6 (12 enodes) 1550619446.880 * * [misc]simplify: iters left: 5 (44 enodes) 1550619446.893 * * [misc]simplify: iters left: 4 (55 enodes) 1550619446.907 * * [misc]simplify: iters left: 3 (59 enodes) 1550619446.921 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619446.921 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619446.921 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619446.922 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619446.922 * * [misc]simplify: Extracting #4: cost 17 inf + 370 1550619446.922 * * [misc]simplify: Extracting #5: cost 10 inf + 1085 1550619446.923 * * [misc]simplify: Extracting #6: cost 2 inf + 4662 1550619446.924 * * [misc]simplify: Extracting #7: cost 0 inf + 5579 1550619446.925 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))) 1550619446.925 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))))) 1550619446.925 * * * * [misc]progress: [ 82 / 327 ] simplifiying candidate # 1550619446.925 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619446.925 * * [misc]simplify: iters left: 6 (14 enodes) 1550619446.932 * * [misc]simplify: iters left: 5 (51 enodes) 1550619446.946 * * [misc]simplify: iters left: 4 (63 enodes) 1550619446.963 * * [misc]simplify: iters left: 3 (70 enodes) 1550619446.982 * * [misc]simplify: iters left: 2 (78 enodes) 1550619447.003 * * [misc]simplify: iters left: 1 (87 enodes) 1550619447.016 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.016 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.016 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.016 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619447.016 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619447.016 * * [misc]simplify: Extracting #5: cost 18 inf + 872 1550619447.017 * * [misc]simplify: Extracting #6: cost 6 inf + 4766 1550619447.017 * * [misc]simplify: Extracting #7: cost 1 inf + 7496 1550619447.018 * * [misc]simplify: Extracting #8: cost 0 inf + 7538 1550619447.019 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619447.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619447.019 * * * * [misc]progress: [ 83 / 327 ] simplifiying candidate # 1550619447.019 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619447.019 * * [misc]simplify: iters left: 6 (14 enodes) 1550619447.022 * * [misc]simplify: iters left: 5 (51 enodes) 1550619447.030 * * [misc]simplify: iters left: 4 (63 enodes) 1550619447.038 * * [misc]simplify: iters left: 3 (70 enodes) 1550619447.048 * * [misc]simplify: iters left: 2 (78 enodes) 1550619447.059 * * [misc]simplify: iters left: 1 (87 enodes) 1550619447.070 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.070 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.070 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.070 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619447.070 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619447.070 * * [misc]simplify: Extracting #5: cost 18 inf + 872 1550619447.071 * * [misc]simplify: Extracting #6: cost 6 inf + 4606 1550619447.071 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619447.072 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619447.073 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619447.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619447.073 * * * * [misc]progress: [ 84 / 327 ] simplifiying candidate # 1550619447.073 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619447.073 * * [misc]simplify: iters left: 6 (13 enodes) 1550619447.077 * * [misc]simplify: iters left: 5 (48 enodes) 1550619447.084 * * [misc]simplify: iters left: 4 (60 enodes) 1550619447.094 * * [misc]simplify: iters left: 3 (67 enodes) 1550619447.103 * * [misc]simplify: iters left: 2 (75 enodes) 1550619447.113 * * [misc]simplify: iters left: 1 (84 enodes) 1550619447.126 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.126 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.126 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619447.126 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619447.126 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619447.127 * * [misc]simplify: Extracting #5: cost 15 inf + 873 1550619447.127 * * [misc]simplify: Extracting #6: cost 2 inf + 4982 1550619447.129 * * [misc]simplify: Extracting #7: cost 0 inf + 6312 1550619447.130 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (cbrt (sqrt k)))) 1550619447.130 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (cbrt (sqrt k)))))) 1550619447.130 * * * * [misc]progress: [ 85 / 327 ] simplifiying candidate # 1550619447.131 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619447.131 * * [misc]simplify: iters left: 6 (12 enodes) 1550619447.136 * * [misc]simplify: iters left: 5 (44 enodes) 1550619447.142 * * [misc]simplify: iters left: 4 (55 enodes) 1550619447.150 * * [misc]simplify: iters left: 3 (59 enodes) 1550619447.158 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.158 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.158 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.158 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619447.158 * * [misc]simplify: Extracting #4: cost 17 inf + 290 1550619447.159 * * [misc]simplify: Extracting #5: cost 10 inf + 1005 1550619447.159 * * [misc]simplify: Extracting #6: cost 2 inf + 4382 1550619447.159 * * [misc]simplify: Extracting #7: cost 0 inf + 5259 1550619447.160 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) 1550619447.160 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))))) 1550619447.160 * * * * [misc]progress: [ 86 / 327 ] simplifiying candidate # 1550619447.160 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619447.160 * * [misc]simplify: iters left: 6 (12 enodes) 1550619447.163 * * [misc]simplify: iters left: 5 (44 enodes) 1550619447.170 * * [misc]simplify: iters left: 4 (55 enodes) 1550619447.183 * * [misc]simplify: iters left: 3 (59 enodes) 1550619447.198 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.198 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.198 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.199 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619447.199 * * [misc]simplify: Extracting #4: cost 17 inf + 290 1550619447.199 * * [misc]simplify: Extracting #5: cost 10 inf + 1005 1550619447.200 * * [misc]simplify: Extracting #6: cost 2 inf + 4382 1550619447.201 * * [misc]simplify: Extracting #7: cost 0 inf + 5259 1550619447.202 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) 1550619447.202 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))))) 1550619447.202 * * * * [misc]progress: [ 87 / 327 ] simplifiying candidate # 1550619447.203 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619447.203 * * [misc]simplify: iters left: 6 (14 enodes) 1550619447.209 * * [misc]simplify: iters left: 5 (51 enodes) 1550619447.223 * * [misc]simplify: iters left: 4 (63 enodes) 1550619447.241 * * [misc]simplify: iters left: 3 (70 enodes) 1550619447.259 * * [misc]simplify: iters left: 2 (78 enodes) 1550619447.273 * * [misc]simplify: iters left: 1 (87 enodes) 1550619447.285 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.285 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.285 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.285 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619447.285 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619447.285 * * [misc]simplify: Extracting #5: cost 18 inf + 792 1550619447.286 * * [misc]simplify: Extracting #6: cost 6 inf + 4526 1550619447.286 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619447.287 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619447.288 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619447.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619447.288 * * * * [misc]progress: [ 88 / 327 ] simplifiying candidate # 1550619447.288 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619447.288 * * [misc]simplify: iters left: 6 (14 enodes) 1550619447.292 * * [misc]simplify: iters left: 5 (51 enodes) 1550619447.308 * * [misc]simplify: iters left: 4 (63 enodes) 1550619447.325 * * [misc]simplify: iters left: 3 (70 enodes) 1550619447.343 * * [misc]simplify: iters left: 2 (78 enodes) 1550619447.366 * * [misc]simplify: iters left: 1 (87 enodes) 1550619447.387 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.387 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.387 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.387 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619447.387 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619447.388 * * [misc]simplify: Extracting #5: cost 18 inf + 792 1550619447.388 * * [misc]simplify: Extracting #6: cost 6 inf + 4366 1550619447.390 * * [misc]simplify: Extracting #7: cost 1 inf + 6856 1550619447.391 * * [misc]simplify: Extracting #8: cost 0 inf + 6898 1550619447.393 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619447.393 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619447.393 * * * * [misc]progress: [ 89 / 327 ] simplifiying candidate # 1550619447.393 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619447.394 * * [misc]simplify: iters left: 6 (13 enodes) 1550619447.400 * * [misc]simplify: iters left: 5 (48 enodes) 1550619447.414 * * [misc]simplify: iters left: 4 (60 enodes) 1550619447.430 * * [misc]simplify: iters left: 3 (67 enodes) 1550619447.447 * * [misc]simplify: iters left: 2 (75 enodes) 1550619447.470 * * [misc]simplify: iters left: 1 (84 enodes) 1550619447.490 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.490 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.490 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619447.490 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619447.490 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619447.491 * * [misc]simplify: Extracting #5: cost 15 inf + 793 1550619447.492 * * [misc]simplify: Extracting #6: cost 2 inf + 4702 1550619447.493 * * [misc]simplify: Extracting #7: cost 0 inf + 5992 1550619447.494 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))) 1550619447.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))))) 1550619447.495 * * * * [misc]progress: [ 90 / 327 ] simplifiying candidate # 1550619447.495 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619447.495 * * [misc]simplify: iters left: 6 (11 enodes) 1550619447.501 * * [misc]simplify: iters left: 5 (41 enodes) 1550619447.512 * * [misc]simplify: iters left: 4 (52 enodes) 1550619447.526 * * [misc]simplify: iters left: 3 (56 enodes) 1550619447.539 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.539 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.539 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.539 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619447.539 * * [misc]simplify: Extracting #4: cost 16 inf + 170 1550619447.539 * * [misc]simplify: Extracting #5: cost 9 inf + 1638 1550619447.539 * * [misc]simplify: Extracting #6: cost 0 inf + 4857 1550619447.540 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))) 1550619447.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))))) 1550619447.540 * * * * [misc]progress: [ 91 / 327 ] simplifiying candidate # 1550619447.540 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619447.540 * * [misc]simplify: iters left: 6 (11 enodes) 1550619447.543 * * [misc]simplify: iters left: 5 (41 enodes) 1550619447.549 * * [misc]simplify: iters left: 4 (52 enodes) 1550619447.556 * * [misc]simplify: iters left: 3 (56 enodes) 1550619447.564 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.564 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.564 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.564 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619447.564 * * [misc]simplify: Extracting #4: cost 16 inf + 170 1550619447.564 * * [misc]simplify: Extracting #5: cost 9 inf + 1638 1550619447.564 * * [misc]simplify: Extracting #6: cost 0 inf + 4857 1550619447.565 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))) 1550619447.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 (pow n 1/2)))) (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))))) 1550619447.565 * * * * [misc]progress: [ 92 / 327 ] simplifiying candidate # 1550619447.565 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619447.565 * * [misc]simplify: iters left: 6 (13 enodes) 1550619447.569 * * [misc]simplify: iters left: 5 (48 enodes) 1550619447.577 * * [misc]simplify: iters left: 4 (60 enodes) 1550619447.586 * * [misc]simplify: iters left: 3 (67 enodes) 1550619447.595 * * [misc]simplify: iters left: 2 (75 enodes) 1550619447.607 * * [misc]simplify: iters left: 1 (84 enodes) 1550619447.623 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.623 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.623 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.623 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1550619447.623 * * [misc]simplify: Extracting #4: cost 22 inf + 128 1550619447.623 * * [misc]simplify: Extracting #5: cost 17 inf + 923 1550619447.624 * * [misc]simplify: Extracting #6: cost 4 inf + 5322 1550619447.625 * * [misc]simplify: Extracting #7: cost 0 inf + 6816 1550619447.626 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619447.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))))) 1550619447.627 * * * * [misc]progress: [ 93 / 327 ] simplifiying candidate # 1550619447.627 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619447.627 * * [misc]simplify: iters left: 6 (13 enodes) 1550619447.633 * * [misc]simplify: iters left: 5 (48 enodes) 1550619447.644 * * [misc]simplify: iters left: 4 (60 enodes) 1550619447.658 * * [misc]simplify: iters left: 3 (67 enodes) 1550619447.668 * * [misc]simplify: iters left: 2 (75 enodes) 1550619447.681 * * [misc]simplify: iters left: 1 (84 enodes) 1550619447.691 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.691 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.691 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619447.691 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1550619447.692 * * [misc]simplify: Extracting #4: cost 22 inf + 128 1550619447.692 * * [misc]simplify: Extracting #5: cost 17 inf + 923 1550619447.692 * * [misc]simplify: Extracting #6: cost 4 inf + 5082 1550619447.693 * * [misc]simplify: Extracting #7: cost 0 inf + 6496 1550619447.694 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619447.694 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k))))))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))))) 1550619447.694 * * * * [misc]progress: [ 94 / 327 ] simplifiying candidate # 1550619447.695 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619447.695 * * [misc]simplify: iters left: 6 (12 enodes) 1550619447.699 * * [misc]simplify: iters left: 5 (45 enodes) 1550619447.707 * * [misc]simplify: iters left: 4 (57 enodes) 1550619447.715 * * [misc]simplify: iters left: 3 (64 enodes) 1550619447.724 * * [misc]simplify: iters left: 2 (72 enodes) 1550619447.735 * * [misc]simplify: iters left: 1 (81 enodes) 1550619447.744 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.745 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.745 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619447.745 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619447.745 * * [misc]simplify: Extracting #4: cost 19 inf + 465 1550619447.745 * * [misc]simplify: Extracting #5: cost 10 inf + 2137 1550619447.746 * * [misc]simplify: Extracting #6: cost 0 inf + 5590 1550619447.746 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619447.746 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ 1 1))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))))) 1550619447.746 * * * * [misc]progress: [ 95 / 327 ] simplifiying candidate # 1550619447.747 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619447.747 * * [misc]simplify: iters left: 6 (12 enodes) 1550619447.750 * * [misc]simplify: iters left: 5 (45 enodes) 1550619447.759 * * [misc]simplify: iters left: 4 (57 enodes) 1550619447.767 * * [misc]simplify: iters left: 3 (64 enodes) 1550619447.776 * * [misc]simplify: iters left: 2 (72 enodes) 1550619447.786 * * [misc]simplify: iters left: 1 (81 enodes) 1550619447.798 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.798 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619447.798 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619447.798 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619447.798 * * [misc]simplify: Extracting #4: cost 19 inf + 465 1550619447.799 * * [misc]simplify: Extracting #5: cost 10 inf + 2137 1550619447.800 * * [misc]simplify: Extracting #6: cost 0 inf + 5590 1550619447.801 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619447.801 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) 1)) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))))) 1550619447.801 * * * * [misc]progress: [ 96 / 327 ] simplifiying candidate # 1550619447.802 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619447.802 * * [misc]simplify: iters left: 6 (12 enodes) 1550619447.808 * * [misc]simplify: iters left: 5 (47 enodes) 1550619447.822 * * [misc]simplify: iters left: 4 (57 enodes) 1550619447.833 * * [misc]simplify: iters left: 3 (66 enodes) 1550619447.842 * * [misc]simplify: iters left: 2 (71 enodes) 1550619447.852 * * [misc]simplify: iters left: 1 (80 enodes) 1550619447.862 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.862 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619447.862 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1550619447.863 * * [misc]simplify: Extracting #3: cost 20 inf + 3 1550619447.863 * * [misc]simplify: Extracting #4: cost 17 inf + 131 1550619447.863 * * [misc]simplify: Extracting #5: cost 8 inf + 1302 1550619447.863 * * [misc]simplify: Extracting #6: cost 1 inf + 3437 1550619447.864 * * [misc]simplify: Extracting #7: cost 0 inf + 4022 1550619447.864 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (pow PI (* k -1/2))) 1550619447.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (pow PI (* k -1/2))))) 1550619447.864 * * * * [misc]progress: [ 97 / 327 ] simplifiying candidate # 1550619447.865 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (pow n (* 1/2 k))) 1550619447.865 * * [misc]simplify: iters left: 6 (9 enodes) 1550619447.867 * * [misc]simplify: iters left: 5 (33 enodes) 1550619447.872 * * [misc]simplify: iters left: 4 (39 enodes) 1550619447.877 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.877 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619447.877 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619447.877 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619447.877 * * [misc]simplify: Extracting #4: cost 9 inf + 341 1550619447.877 * * [misc]simplify: Extracting #5: cost 4 inf + 972 1550619447.878 * * [misc]simplify: Extracting #6: cost 0 inf + 2357 1550619447.878 * [exit]simplify: Simplified to (/ (pow PI (* -1/2 k)) (pow n (* k 1/2))) 1550619447.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt k) (pow n 1/2)))) (/ (pow PI (* -1/2 k)) (pow n (* k 1/2))))) 1550619447.878 * * * * [misc]progress: [ 98 / 327 ] simplifiying candidate # 1550619447.878 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619447.878 * * [misc]simplify: iters left: 6 (13 enodes) 1550619447.881 * * [misc]simplify: iters left: 5 (42 enodes) 1550619447.888 * * [misc]simplify: iters left: 4 (52 enodes) 1550619447.895 * * [misc]simplify: iters left: 3 (59 enodes) 1550619447.904 * * [misc]simplify: iters left: 2 (67 enodes) 1550619447.918 * * [misc]simplify: iters left: 1 (76 enodes) 1550619447.936 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619447.936 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619447.936 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619447.936 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619447.936 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1550619447.936 * * [misc]simplify: Extracting #5: cost 22 inf + 169 1550619447.937 * * [misc]simplify: Extracting #6: cost 14 inf + 1005 1550619447.938 * * [misc]simplify: Extracting #7: cost 4 inf + 3741 1550619447.939 * * [misc]simplify: Extracting #8: cost 0 inf + 5724 1550619447.940 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619447.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619447.940 * * * * [misc]progress: [ 99 / 327 ] simplifiying candidate # 1550619447.941 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619447.941 * * [misc]simplify: iters left: 6 (13 enodes) 1550619447.946 * * [misc]simplify: iters left: 5 (42 enodes) 1550619447.961 * * [misc]simplify: iters left: 4 (52 enodes) 1550619447.976 * * [misc]simplify: iters left: 3 (59 enodes) 1550619447.991 * * [misc]simplify: iters left: 2 (67 enodes) 1550619448.010 * * [misc]simplify: iters left: 1 (76 enodes) 1550619448.028 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.028 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619448.028 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619448.029 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619448.029 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1550619448.029 * * [misc]simplify: Extracting #5: cost 22 inf + 169 1550619448.029 * * [misc]simplify: Extracting #6: cost 14 inf + 1005 1550619448.030 * * [misc]simplify: Extracting #7: cost 4 inf + 3661 1550619448.031 * * [misc]simplify: Extracting #8: cost 0 inf + 5564 1550619448.032 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619448.032 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619448.033 * * * * [misc]progress: [ 100 / 327 ] simplifiying candidate # 1550619448.033 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619448.033 * * [misc]simplify: iters left: 6 (14 enodes) 1550619448.040 * * [misc]simplify: iters left: 5 (51 enodes) 1550619448.047 * * [misc]simplify: iters left: 4 (63 enodes) 1550619448.057 * * [misc]simplify: iters left: 3 (70 enodes) 1550619448.068 * * [misc]simplify: iters left: 2 (78 enodes) 1550619448.092 * * [misc]simplify: iters left: 1 (87 enodes) 1550619448.112 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.113 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.113 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619448.113 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619448.113 * * [misc]simplify: Extracting #4: cost 23 inf + 249 1550619448.113 * * [misc]simplify: Extracting #5: cost 14 inf + 1873 1550619448.114 * * [misc]simplify: Extracting #6: cost 5 inf + 5299 1550619448.116 * * [misc]simplify: Extracting #7: cost 1 inf + 7496 1550619448.117 * * [misc]simplify: Extracting #8: cost 0 inf + 7538 1550619448.119 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) 1550619448.119 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))))) 1550619448.119 * * * * [misc]progress: [ 101 / 327 ] simplifiying candidate # 1550619448.119 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619448.120 * * [misc]simplify: iters left: 6 (14 enodes) 1550619448.126 * * [misc]simplify: iters left: 5 (51 enodes) 1550619448.141 * * [misc]simplify: iters left: 4 (63 enodes) 1550619448.157 * * [misc]simplify: iters left: 3 (70 enodes) 1550619448.174 * * [misc]simplify: iters left: 2 (78 enodes) 1550619448.196 * * [misc]simplify: iters left: 1 (87 enodes) 1550619448.215 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.215 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.215 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619448.215 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619448.215 * * [misc]simplify: Extracting #4: cost 23 inf + 249 1550619448.216 * * [misc]simplify: Extracting #5: cost 14 inf + 1873 1550619448.217 * * [misc]simplify: Extracting #6: cost 5 inf + 5299 1550619448.218 * * [misc]simplify: Extracting #7: cost 1 inf + 7496 1550619448.219 * * [misc]simplify: Extracting #8: cost 0 inf + 7538 1550619448.220 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) 1550619448.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))))) 1550619448.221 * * * * [misc]progress: [ 102 / 327 ] simplifiying candidate # 1550619448.221 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619448.221 * * [misc]simplify: iters left: 6 (14 enodes) 1550619448.227 * * [misc]simplify: iters left: 5 (47 enodes) 1550619448.243 * * [misc]simplify: iters left: 4 (62 enodes) 1550619448.258 * * [misc]simplify: iters left: 3 (73 enodes) 1550619448.268 * * [misc]simplify: iters left: 2 (81 enodes) 1550619448.280 * * [misc]simplify: iters left: 1 (90 enodes) 1550619448.291 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.291 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.291 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619448.292 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619448.292 * * [misc]simplify: Extracting #4: cost 23 inf + 286 1550619448.292 * * [misc]simplify: Extracting #5: cost 27 inf + 328 1550619448.292 * * [misc]simplify: Extracting #6: cost 19 inf + 914 1550619448.293 * * [misc]simplify: Extracting #7: cost 5 inf + 6073 1550619448.295 * * [misc]simplify: Extracting #8: cost 0 inf + 8760 1550619448.297 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))) 1550619448.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))))) 1550619448.297 * * * * [misc]progress: [ 103 / 327 ] simplifiying candidate # 1550619448.298 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619448.298 * * [misc]simplify: iters left: 6 (14 enodes) 1550619448.302 * * [misc]simplify: iters left: 5 (47 enodes) 1550619448.309 * * [misc]simplify: iters left: 4 (62 enodes) 1550619448.318 * * [misc]simplify: iters left: 3 (73 enodes) 1550619448.330 * * [misc]simplify: iters left: 2 (81 enodes) 1550619448.349 * * [misc]simplify: iters left: 1 (90 enodes) 1550619448.359 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.359 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.360 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619448.360 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619448.360 * * [misc]simplify: Extracting #4: cost 23 inf + 286 1550619448.360 * * [misc]simplify: Extracting #5: cost 27 inf + 328 1550619448.360 * * [misc]simplify: Extracting #6: cost 19 inf + 914 1550619448.360 * * [misc]simplify: Extracting #7: cost 5 inf + 5913 1550619448.361 * * [misc]simplify: Extracting #8: cost 0 inf + 8440 1550619448.362 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619448.362 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))))) 1550619448.362 * * * * [misc]progress: [ 104 / 327 ] simplifiying candidate # 1550619448.363 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619448.363 * * [misc]simplify: iters left: 6 (13 enodes) 1550619448.366 * * [misc]simplify: iters left: 5 (44 enodes) 1550619448.372 * * [misc]simplify: iters left: 4 (59 enodes) 1550619448.380 * * [misc]simplify: iters left: 3 (70 enodes) 1550619448.390 * * [misc]simplify: iters left: 2 (78 enodes) 1550619448.409 * * [misc]simplify: iters left: 1 (87 enodes) 1550619448.433 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.433 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.433 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619448.433 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619448.433 * * [misc]simplify: Extracting #4: cost 26 inf + 207 1550619448.433 * * [misc]simplify: Extracting #5: cost 19 inf + 870 1550619448.435 * * [misc]simplify: Extracting #6: cost 3 inf + 5633 1550619448.436 * * [misc]simplify: Extracting #7: cost 0 inf + 7534 1550619448.438 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))) 1550619448.438 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))))) 1550619448.438 * * * * [misc]progress: [ 105 / 327 ] simplifiying candidate # 1550619448.439 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619448.439 * * [misc]simplify: iters left: 6 (14 enodes) 1550619448.446 * * [misc]simplify: iters left: 5 (51 enodes) 1550619448.461 * * [misc]simplify: iters left: 4 (63 enodes) 1550619448.477 * * [misc]simplify: iters left: 3 (70 enodes) 1550619448.496 * * [misc]simplify: iters left: 2 (78 enodes) 1550619448.517 * * [misc]simplify: iters left: 1 (87 enodes) 1550619448.538 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.538 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.538 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619448.538 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619448.538 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1550619448.539 * * [misc]simplify: Extracting #5: cost 14 inf + 1753 1550619448.540 * * [misc]simplify: Extracting #6: cost 5 inf + 5019 1550619448.541 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619448.542 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619448.544 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) 1550619448.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))) 1550619448.544 * * * * [misc]progress: [ 106 / 327 ] simplifiying candidate # 1550619448.545 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619448.545 * * [misc]simplify: iters left: 6 (14 enodes) 1550619448.551 * * [misc]simplify: iters left: 5 (51 enodes) 1550619448.565 * * [misc]simplify: iters left: 4 (63 enodes) 1550619448.585 * * [misc]simplify: iters left: 3 (70 enodes) 1550619448.603 * * [misc]simplify: iters left: 2 (78 enodes) 1550619448.624 * * [misc]simplify: iters left: 1 (87 enodes) 1550619448.645 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.646 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.646 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619448.646 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619448.646 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1550619448.646 * * [misc]simplify: Extracting #5: cost 14 inf + 1753 1550619448.647 * * [misc]simplify: Extracting #6: cost 5 inf + 5019 1550619448.649 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619448.649 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619448.650 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) 1550619448.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))) 1550619448.650 * * * * [misc]progress: [ 107 / 327 ] simplifiying candidate # 1550619448.650 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619448.651 * * [misc]simplify: iters left: 6 (14 enodes) 1550619448.654 * * [misc]simplify: iters left: 5 (47 enodes) 1550619448.661 * * [misc]simplify: iters left: 4 (62 enodes) 1550619448.669 * * [misc]simplify: iters left: 3 (73 enodes) 1550619448.680 * * [misc]simplify: iters left: 2 (81 enodes) 1550619448.698 * * [misc]simplify: iters left: 1 (90 enodes) 1550619448.722 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.722 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.722 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619448.722 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619448.722 * * [misc]simplify: Extracting #4: cost 23 inf + 206 1550619448.723 * * [misc]simplify: Extracting #5: cost 27 inf + 248 1550619448.723 * * [misc]simplify: Extracting #6: cost 19 inf + 834 1550619448.724 * * [misc]simplify: Extracting #7: cost 5 inf + 5793 1550619448.726 * * [misc]simplify: Extracting #8: cost 0 inf + 8440 1550619448.727 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))) 1550619448.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))))) 1550619448.728 * * * * [misc]progress: [ 108 / 327 ] simplifiying candidate # 1550619448.728 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619448.728 * * [misc]simplify: iters left: 6 (14 enodes) 1550619448.735 * * [misc]simplify: iters left: 5 (47 enodes) 1550619448.749 * * [misc]simplify: iters left: 4 (62 enodes) 1550619448.766 * * [misc]simplify: iters left: 3 (73 enodes) 1550619448.787 * * [misc]simplify: iters left: 2 (81 enodes) 1550619448.810 * * [misc]simplify: iters left: 1 (90 enodes) 1550619448.824 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.824 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.824 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619448.824 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619448.824 * * [misc]simplify: Extracting #4: cost 23 inf + 206 1550619448.824 * * [misc]simplify: Extracting #5: cost 27 inf + 248 1550619448.824 * * [misc]simplify: Extracting #6: cost 19 inf + 834 1550619448.825 * * [misc]simplify: Extracting #7: cost 5 inf + 5633 1550619448.826 * * [misc]simplify: Extracting #8: cost 0 inf + 8120 1550619448.827 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619448.827 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))))) 1550619448.827 * * * * [misc]progress: [ 109 / 327 ] simplifiying candidate # 1550619448.827 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619448.827 * * [misc]simplify: iters left: 6 (13 enodes) 1550619448.830 * * [misc]simplify: iters left: 5 (44 enodes) 1550619448.839 * * [misc]simplify: iters left: 4 (59 enodes) 1550619448.847 * * [misc]simplify: iters left: 3 (70 enodes) 1550619448.864 * * [misc]simplify: iters left: 2 (78 enodes) 1550619448.877 * * [misc]simplify: iters left: 1 (87 enodes) 1550619448.887 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.888 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.888 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619448.888 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619448.888 * * [misc]simplify: Extracting #4: cost 26 inf + 167 1550619448.888 * * [misc]simplify: Extracting #5: cost 19 inf + 790 1550619448.888 * * [misc]simplify: Extracting #6: cost 3 inf + 5393 1550619448.889 * * [misc]simplify: Extracting #7: cost 0 inf + 7214 1550619448.890 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))) 1550619448.890 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) 1))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))))) 1550619448.890 * * * * [misc]progress: [ 110 / 327 ] simplifiying candidate # 1550619448.891 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619448.891 * * [misc]simplify: iters left: 6 (13 enodes) 1550619448.894 * * [misc]simplify: iters left: 5 (48 enodes) 1550619448.901 * * [misc]simplify: iters left: 4 (60 enodes) 1550619448.909 * * [misc]simplify: iters left: 3 (67 enodes) 1550619448.919 * * [misc]simplify: iters left: 2 (75 enodes) 1550619448.941 * * [misc]simplify: iters left: 1 (84 enodes) 1550619448.953 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619448.953 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619448.953 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619448.953 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1550619448.953 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619448.954 * * [misc]simplify: Extracting #5: cost 13 inf + 2084 1550619448.954 * * [misc]simplify: Extracting #6: cost 4 inf + 5322 1550619448.955 * * [misc]simplify: Extracting #7: cost 0 inf + 6816 1550619448.956 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))) 1550619448.956 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (pow n 1/2)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))))) 1550619448.956 * * * * [misc]progress: [ 111 / 327 ] simplifiying candidate # 1550619448.956 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619448.956 * * [misc]simplify: iters left: 6 (13 enodes) 1550619448.959 * * [misc]simplify: iters left: 5 (48 enodes) 1550619448.966 * * [misc]simplify: iters left: 4 (60 enodes) 1550619448.975 * * [misc]simplify: iters left: 3 (67 enodes) 1550619448.986 * * [misc]simplify: iters left: 2 (75 enodes) 1550619448.997 * * [misc]simplify: iters left: 1 (84 enodes) 1550619449.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.007 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.007 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619449.007 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1550619449.007 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619449.008 * * [misc]simplify: Extracting #5: cost 13 inf + 2084 1550619449.008 * * [misc]simplify: Extracting #6: cost 4 inf + 5322 1550619449.009 * * [misc]simplify: Extracting #7: cost 0 inf + 6816 1550619449.009 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))) 1550619449.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (pow n 1/2)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))))) 1550619449.010 * * * * [misc]progress: [ 112 / 327 ] simplifiying candidate # 1550619449.010 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619449.010 * * [misc]simplify: iters left: 6 (13 enodes) 1550619449.013 * * [misc]simplify: iters left: 5 (44 enodes) 1550619449.029 * * [misc]simplify: iters left: 4 (59 enodes) 1550619449.039 * * [misc]simplify: iters left: 3 (70 enodes) 1550619449.049 * * [misc]simplify: iters left: 2 (78 enodes) 1550619449.060 * * [misc]simplify: iters left: 1 (87 enodes) 1550619449.075 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.076 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.076 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619449.076 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550619449.076 * * [misc]simplify: Extracting #4: cost 22 inf + 85 1550619449.076 * * [misc]simplify: Extracting #5: cost 27 inf + 86 1550619449.076 * * [misc]simplify: Extracting #6: cost 20 inf + 921 1550619449.077 * * [misc]simplify: Extracting #7: cost 3 inf + 6137 1550619449.079 * * [misc]simplify: Extracting #8: cost 0 inf + 8038 1550619449.081 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619449.081 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619449.081 * * * * [misc]progress: [ 113 / 327 ] simplifiying candidate # 1550619449.081 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619449.082 * * [misc]simplify: iters left: 6 (13 enodes) 1550619449.087 * * [misc]simplify: iters left: 5 (44 enodes) 1550619449.097 * * [misc]simplify: iters left: 4 (59 enodes) 1550619449.105 * * [misc]simplify: iters left: 3 (70 enodes) 1550619449.114 * * [misc]simplify: iters left: 2 (78 enodes) 1550619449.136 * * [misc]simplify: iters left: 1 (87 enodes) 1550619449.157 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.157 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.157 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619449.157 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550619449.157 * * [misc]simplify: Extracting #4: cost 22 inf + 85 1550619449.157 * * [misc]simplify: Extracting #5: cost 27 inf + 86 1550619449.158 * * [misc]simplify: Extracting #6: cost 20 inf + 921 1550619449.159 * * [misc]simplify: Extracting #7: cost 3 inf + 5897 1550619449.161 * * [misc]simplify: Extracting #8: cost 0 inf + 7718 1550619449.162 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619449.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k))))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619449.163 * * * * [misc]progress: [ 114 / 327 ] simplifiying candidate # 1550619449.163 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619449.163 * * [misc]simplify: iters left: 6 (12 enodes) 1550619449.169 * * [misc]simplify: iters left: 5 (41 enodes) 1550619449.181 * * [misc]simplify: iters left: 4 (56 enodes) 1550619449.198 * * [misc]simplify: iters left: 3 (67 enodes) 1550619449.216 * * [misc]simplify: iters left: 2 (75 enodes) 1550619449.230 * * [misc]simplify: iters left: 1 (84 enodes) 1550619449.240 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.240 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.240 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619449.241 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619449.241 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619449.241 * * [misc]simplify: Extracting #5: cost 16 inf + 1467 1550619449.241 * * [misc]simplify: Extracting #6: cost 4 inf + 4989 1550619449.242 * * [misc]simplify: Extracting #7: cost 0 inf + 6812 1550619449.243 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619449.243 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 1))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619449.243 * * * * [misc]progress: [ 115 / 327 ] simplifiying candidate # 1550619449.243 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619449.243 * * [misc]simplify: iters left: 6 (12 enodes) 1550619449.246 * * [misc]simplify: iters left: 5 (41 enodes) 1550619449.255 * * [misc]simplify: iters left: 4 (56 enodes) 1550619449.265 * * [misc]simplify: iters left: 3 (67 enodes) 1550619449.283 * * [misc]simplify: iters left: 2 (75 enodes) 1550619449.297 * * [misc]simplify: iters left: 1 (84 enodes) 1550619449.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.307 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.307 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619449.307 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619449.307 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619449.308 * * [misc]simplify: Extracting #5: cost 16 inf + 1467 1550619449.308 * * [misc]simplify: Extracting #6: cost 4 inf + 4989 1550619449.309 * * [misc]simplify: Extracting #7: cost 0 inf + 6812 1550619449.310 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619449.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) 1)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619449.310 * * * * [misc]progress: [ 116 / 327 ] simplifiying candidate # 1550619449.310 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619449.310 * * [misc]simplify: iters left: 6 (12 enodes) 1550619449.313 * * [misc]simplify: iters left: 5 (43 enodes) 1550619449.320 * * [misc]simplify: iters left: 4 (56 enodes) 1550619449.329 * * [misc]simplify: iters left: 3 (69 enodes) 1550619449.339 * * [misc]simplify: iters left: 2 (74 enodes) 1550619449.353 * * [misc]simplify: iters left: 1 (83 enodes) 1550619449.363 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.363 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619449.363 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619449.363 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550619449.363 * * [misc]simplify: Extracting #4: cost 23 inf + 4 1550619449.363 * * [misc]simplify: Extracting #5: cost 12 inf + 1007 1550619449.364 * * [misc]simplify: Extracting #6: cost 1 inf + 4832 1550619449.364 * * [misc]simplify: Extracting #7: cost 0 inf + 5166 1550619449.365 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1550619449.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (cbrt (pow PI (- 1/2 (* k 1/2))))))) 1550619449.365 * * * * [misc]progress: [ 117 / 327 ] simplifiying candidate # 1550619449.365 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (pow n (* 1/2 k))) 1550619449.366 * * [misc]simplify: iters left: 6 (10 enodes) 1550619449.368 * * [misc]simplify: iters left: 5 (33 enodes) 1550619449.374 * * [misc]simplify: iters left: 4 (43 enodes) 1550619449.381 * * [misc]simplify: iters left: 3 (50 enodes) 1550619449.388 * * [misc]simplify: iters left: 2 (58 enodes) 1550619449.398 * * [misc]simplify: iters left: 1 (67 enodes) 1550619449.407 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.407 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619449.407 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619449.407 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619449.407 * * [misc]simplify: Extracting #4: cost 13 inf + 46 1550619449.408 * * [misc]simplify: Extracting #5: cost 11 inf + 1133 1550619449.408 * * [misc]simplify: Extracting #6: cost 3 inf + 3545 1550619449.409 * * [misc]simplify: Extracting #7: cost 0 inf + 3590 1550619449.410 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (pow n (* k 1/2))) 1550619449.410 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt k) (pow n 1/2)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (pow n (* k 1/2))))) 1550619449.410 * * * * [misc]progress: [ 118 / 327 ] simplifiying candidate # 1550619449.410 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619449.410 * * [misc]simplify: iters left: 6 (13 enodes) 1550619449.416 * * [misc]simplify: iters left: 5 (42 enodes) 1550619449.428 * * [misc]simplify: iters left: 4 (52 enodes) 1550619449.443 * * [misc]simplify: iters left: 3 (59 enodes) 1550619449.462 * * [misc]simplify: iters left: 2 (67 enodes) 1550619449.481 * * [misc]simplify: iters left: 1 (76 enodes) 1550619449.500 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.500 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619449.500 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619449.500 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619449.500 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1550619449.500 * * [misc]simplify: Extracting #5: cost 22 inf + 169 1550619449.500 * * [misc]simplify: Extracting #6: cost 14 inf + 1005 1550619449.501 * * [misc]simplify: Extracting #7: cost 4 inf + 3661 1550619449.501 * * [misc]simplify: Extracting #8: cost 0 inf + 5564 1550619449.502 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619449.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619449.502 * * * * [misc]progress: [ 119 / 327 ] simplifiying candidate # 1550619449.503 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619449.503 * * [misc]simplify: iters left: 6 (13 enodes) 1550619449.506 * * [misc]simplify: iters left: 5 (42 enodes) 1550619449.512 * * [misc]simplify: iters left: 4 (52 enodes) 1550619449.520 * * [misc]simplify: iters left: 3 (59 enodes) 1550619449.529 * * [misc]simplify: iters left: 2 (67 enodes) 1550619449.549 * * [misc]simplify: iters left: 1 (76 enodes) 1550619449.567 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.567 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619449.567 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619449.567 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619449.568 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1550619449.568 * * [misc]simplify: Extracting #5: cost 22 inf + 169 1550619449.568 * * [misc]simplify: Extracting #6: cost 14 inf + 1005 1550619449.569 * * [misc]simplify: Extracting #7: cost 4 inf + 3581 1550619449.570 * * [misc]simplify: Extracting #8: cost 0 inf + 5404 1550619449.571 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619449.571 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619449.571 * * * * [misc]progress: [ 120 / 327 ] simplifiying candidate # 1550619449.572 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619449.572 * * [misc]simplify: iters left: 6 (14 enodes) 1550619449.579 * * [misc]simplify: iters left: 5 (51 enodes) 1550619449.593 * * [misc]simplify: iters left: 4 (63 enodes) 1550619449.601 * * [misc]simplify: iters left: 3 (70 enodes) 1550619449.612 * * [misc]simplify: iters left: 2 (78 enodes) 1550619449.628 * * [misc]simplify: iters left: 1 (87 enodes) 1550619449.647 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.647 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.647 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619449.647 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619449.647 * * [misc]simplify: Extracting #4: cost 23 inf + 249 1550619449.648 * * [misc]simplify: Extracting #5: cost 14 inf + 1873 1550619449.648 * * [misc]simplify: Extracting #6: cost 5 inf + 5099 1550619449.649 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619449.650 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619449.650 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) 1550619449.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))))) 1550619449.651 * * * * [misc]progress: [ 121 / 327 ] simplifiying candidate # 1550619449.651 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619449.651 * * [misc]simplify: iters left: 6 (14 enodes) 1550619449.654 * * [misc]simplify: iters left: 5 (51 enodes) 1550619449.662 * * [misc]simplify: iters left: 4 (63 enodes) 1550619449.671 * * [misc]simplify: iters left: 3 (70 enodes) 1550619449.688 * * [misc]simplify: iters left: 2 (78 enodes) 1550619449.710 * * [misc]simplify: iters left: 1 (87 enodes) 1550619449.722 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.722 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.722 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619449.722 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619449.722 * * [misc]simplify: Extracting #4: cost 23 inf + 249 1550619449.722 * * [misc]simplify: Extracting #5: cost 14 inf + 1873 1550619449.723 * * [misc]simplify: Extracting #6: cost 5 inf + 5099 1550619449.724 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619449.724 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619449.725 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) 1550619449.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))))) 1550619449.725 * * * * [misc]progress: [ 122 / 327 ] simplifiying candidate # 1550619449.726 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619449.726 * * [misc]simplify: iters left: 6 (14 enodes) 1550619449.729 * * [misc]simplify: iters left: 5 (47 enodes) 1550619449.736 * * [misc]simplify: iters left: 4 (62 enodes) 1550619449.748 * * [misc]simplify: iters left: 3 (73 enodes) 1550619449.761 * * [misc]simplify: iters left: 2 (81 enodes) 1550619449.773 * * [misc]simplify: iters left: 1 (90 enodes) 1550619449.791 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.791 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.791 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619449.791 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619449.792 * * [misc]simplify: Extracting #4: cost 23 inf + 286 1550619449.792 * * [misc]simplify: Extracting #5: cost 27 inf + 328 1550619449.792 * * [misc]simplify: Extracting #6: cost 19 inf + 914 1550619449.793 * * [misc]simplify: Extracting #7: cost 5 inf + 5873 1550619449.795 * * [misc]simplify: Extracting #8: cost 0 inf + 8440 1550619449.797 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))) 1550619449.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))))) 1550619449.798 * * * * [misc]progress: [ 123 / 327 ] simplifiying candidate # 1550619449.798 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619449.798 * * [misc]simplify: iters left: 6 (14 enodes) 1550619449.805 * * [misc]simplify: iters left: 5 (47 enodes) 1550619449.812 * * [misc]simplify: iters left: 4 (62 enodes) 1550619449.821 * * [misc]simplify: iters left: 3 (73 enodes) 1550619449.831 * * [misc]simplify: iters left: 2 (81 enodes) 1550619449.848 * * [misc]simplify: iters left: 1 (90 enodes) 1550619449.859 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.860 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.860 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619449.860 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619449.860 * * [misc]simplify: Extracting #4: cost 23 inf + 286 1550619449.860 * * [misc]simplify: Extracting #5: cost 27 inf + 328 1550619449.860 * * [misc]simplify: Extracting #6: cost 19 inf + 914 1550619449.861 * * [misc]simplify: Extracting #7: cost 5 inf + 5713 1550619449.861 * * [misc]simplify: Extracting #8: cost 0 inf + 8120 1550619449.862 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619449.862 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))))) 1550619449.863 * * * * [misc]progress: [ 124 / 327 ] simplifiying candidate # 1550619449.863 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619449.863 * * [misc]simplify: iters left: 6 (13 enodes) 1550619449.866 * * [misc]simplify: iters left: 5 (44 enodes) 1550619449.873 * * [misc]simplify: iters left: 4 (59 enodes) 1550619449.892 * * [misc]simplify: iters left: 3 (70 enodes) 1550619449.904 * * [misc]simplify: iters left: 2 (78 enodes) 1550619449.915 * * [misc]simplify: iters left: 1 (87 enodes) 1550619449.928 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619449.928 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619449.928 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619449.928 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619449.928 * * [misc]simplify: Extracting #4: cost 26 inf + 207 1550619449.929 * * [misc]simplify: Extracting #5: cost 19 inf + 870 1550619449.930 * * [misc]simplify: Extracting #6: cost 3 inf + 5433 1550619449.931 * * [misc]simplify: Extracting #7: cost 0 inf + 7214 1550619449.933 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))) 1550619449.933 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))))) 1550619449.934 * * * * [misc]progress: [ 125 / 327 ] simplifiying candidate # 1550619449.934 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619449.934 * * [misc]simplify: iters left: 6 (14 enodes) 1550619449.940 * * [misc]simplify: iters left: 5 (51 enodes) 1550619449.955 * * [misc]simplify: iters left: 4 (63 enodes) 1550619449.967 * * [misc]simplify: iters left: 3 (70 enodes) 1550619449.976 * * [misc]simplify: iters left: 2 (78 enodes) 1550619449.987 * * [misc]simplify: iters left: 1 (87 enodes) 1550619450.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.007 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.008 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619450.008 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619450.008 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1550619450.009 * * [misc]simplify: Extracting #5: cost 14 inf + 1753 1550619450.010 * * [misc]simplify: Extracting #6: cost 5 inf + 4819 1550619450.010 * * [misc]simplify: Extracting #7: cost 1 inf + 6856 1550619450.011 * * [misc]simplify: Extracting #8: cost 0 inf + 6898 1550619450.012 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) 1550619450.012 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))) 1550619450.012 * * * * [misc]progress: [ 126 / 327 ] simplifiying candidate # 1550619450.013 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619450.013 * * [misc]simplify: iters left: 6 (14 enodes) 1550619450.016 * * [misc]simplify: iters left: 5 (51 enodes) 1550619450.023 * * [misc]simplify: iters left: 4 (63 enodes) 1550619450.032 * * [misc]simplify: iters left: 3 (70 enodes) 1550619450.049 * * [misc]simplify: iters left: 2 (78 enodes) 1550619450.060 * * [misc]simplify: iters left: 1 (87 enodes) 1550619450.071 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.071 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.071 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619450.071 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619450.071 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1550619450.071 * * [misc]simplify: Extracting #5: cost 14 inf + 1753 1550619450.072 * * [misc]simplify: Extracting #6: cost 5 inf + 4819 1550619450.073 * * [misc]simplify: Extracting #7: cost 1 inf + 6856 1550619450.074 * * [misc]simplify: Extracting #8: cost 0 inf + 6898 1550619450.076 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) 1550619450.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))) 1550619450.076 * * * * [misc]progress: [ 127 / 327 ] simplifiying candidate # 1550619450.076 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619450.076 * * [misc]simplify: iters left: 6 (14 enodes) 1550619450.082 * * [misc]simplify: iters left: 5 (47 enodes) 1550619450.099 * * [misc]simplify: iters left: 4 (62 enodes) 1550619450.116 * * [misc]simplify: iters left: 3 (73 enodes) 1550619450.134 * * [misc]simplify: iters left: 2 (81 enodes) 1550619450.155 * * [misc]simplify: iters left: 1 (90 enodes) 1550619450.165 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.166 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.166 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619450.166 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619450.166 * * [misc]simplify: Extracting #4: cost 23 inf + 206 1550619450.166 * * [misc]simplify: Extracting #5: cost 27 inf + 248 1550619450.166 * * [misc]simplify: Extracting #6: cost 19 inf + 834 1550619450.167 * * [misc]simplify: Extracting #7: cost 5 inf + 5593 1550619450.167 * * [misc]simplify: Extracting #8: cost 0 inf + 8120 1550619450.168 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))) 1550619450.168 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))))) 1550619450.169 * * * * [misc]progress: [ 128 / 327 ] simplifiying candidate # 1550619450.169 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619450.169 * * [misc]simplify: iters left: 6 (14 enodes) 1550619450.172 * * [misc]simplify: iters left: 5 (47 enodes) 1550619450.179 * * [misc]simplify: iters left: 4 (62 enodes) 1550619450.190 * * [misc]simplify: iters left: 3 (73 enodes) 1550619450.210 * * [misc]simplify: iters left: 2 (81 enodes) 1550619450.236 * * [misc]simplify: iters left: 1 (90 enodes) 1550619450.248 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.248 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.248 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619450.248 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619450.248 * * [misc]simplify: Extracting #4: cost 23 inf + 206 1550619450.248 * * [misc]simplify: Extracting #5: cost 27 inf + 248 1550619450.249 * * [misc]simplify: Extracting #6: cost 19 inf + 834 1550619450.249 * * [misc]simplify: Extracting #7: cost 5 inf + 5433 1550619450.250 * * [misc]simplify: Extracting #8: cost 0 inf + 7800 1550619450.251 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619450.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))))) 1550619450.251 * * * * [misc]progress: [ 129 / 327 ] simplifiying candidate # 1550619450.251 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619450.252 * * [misc]simplify: iters left: 6 (13 enodes) 1550619450.255 * * [misc]simplify: iters left: 5 (44 enodes) 1550619450.262 * * [misc]simplify: iters left: 4 (59 enodes) 1550619450.274 * * [misc]simplify: iters left: 3 (70 enodes) 1550619450.290 * * [misc]simplify: iters left: 2 (78 enodes) 1550619450.301 * * [misc]simplify: iters left: 1 (87 enodes) 1550619450.312 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.312 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.313 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619450.313 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619450.313 * * [misc]simplify: Extracting #4: cost 26 inf + 167 1550619450.313 * * [misc]simplify: Extracting #5: cost 19 inf + 790 1550619450.314 * * [misc]simplify: Extracting #6: cost 3 inf + 5193 1550619450.316 * * [misc]simplify: Extracting #7: cost 0 inf + 6894 1550619450.318 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))) 1550619450.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))))) 1550619450.318 * * * * [misc]progress: [ 130 / 327 ] simplifiying candidate # 1550619450.318 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619450.318 * * [misc]simplify: iters left: 6 (13 enodes) 1550619450.328 * * [misc]simplify: iters left: 5 (48 enodes) 1550619450.341 * * [misc]simplify: iters left: 4 (60 enodes) 1550619450.350 * * [misc]simplify: iters left: 3 (67 enodes) 1550619450.359 * * [misc]simplify: iters left: 2 (75 enodes) 1550619450.370 * * [misc]simplify: iters left: 1 (84 enodes) 1550619450.381 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.381 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.381 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619450.381 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1550619450.381 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619450.382 * * [misc]simplify: Extracting #5: cost 13 inf + 2084 1550619450.382 * * [misc]simplify: Extracting #6: cost 4 inf + 5082 1550619450.383 * * [misc]simplify: Extracting #7: cost 0 inf + 6496 1550619450.383 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))) 1550619450.383 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))))) 1550619450.384 * * * * [misc]progress: [ 131 / 327 ] simplifiying candidate # 1550619450.384 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619450.384 * * [misc]simplify: iters left: 6 (13 enodes) 1550619450.387 * * [misc]simplify: iters left: 5 (48 enodes) 1550619450.400 * * [misc]simplify: iters left: 4 (60 enodes) 1550619450.417 * * [misc]simplify: iters left: 3 (67 enodes) 1550619450.430 * * [misc]simplify: iters left: 2 (75 enodes) 1550619450.441 * * [misc]simplify: iters left: 1 (84 enodes) 1550619450.454 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.454 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.454 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619450.454 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1550619450.455 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619450.455 * * [misc]simplify: Extracting #5: cost 13 inf + 2084 1550619450.456 * * [misc]simplify: Extracting #6: cost 4 inf + 5082 1550619450.457 * * [misc]simplify: Extracting #7: cost 0 inf + 6496 1550619450.459 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))) 1550619450.459 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))))) 1550619450.459 * * * * [misc]progress: [ 132 / 327 ] simplifiying candidate # 1550619450.460 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619450.460 * * [misc]simplify: iters left: 6 (13 enodes) 1550619450.466 * * [misc]simplify: iters left: 5 (44 enodes) 1550619450.482 * * [misc]simplify: iters left: 4 (59 enodes) 1550619450.498 * * [misc]simplify: iters left: 3 (70 enodes) 1550619450.516 * * [misc]simplify: iters left: 2 (78 enodes) 1550619450.528 * * [misc]simplify: iters left: 1 (87 enodes) 1550619450.539 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.539 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.539 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619450.539 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550619450.539 * * [misc]simplify: Extracting #4: cost 22 inf + 85 1550619450.539 * * [misc]simplify: Extracting #5: cost 27 inf + 86 1550619450.539 * * [misc]simplify: Extracting #6: cost 20 inf + 921 1550619450.540 * * [misc]simplify: Extracting #7: cost 3 inf + 5937 1550619450.541 * * [misc]simplify: Extracting #8: cost 0 inf + 7718 1550619450.542 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619450.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619450.542 * * * * [misc]progress: [ 133 / 327 ] simplifiying candidate # 1550619450.542 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619450.542 * * [misc]simplify: iters left: 6 (13 enodes) 1550619450.549 * * [misc]simplify: iters left: 5 (44 enodes) 1550619450.562 * * [misc]simplify: iters left: 4 (59 enodes) 1550619450.572 * * [misc]simplify: iters left: 3 (70 enodes) 1550619450.582 * * [misc]simplify: iters left: 2 (78 enodes) 1550619450.599 * * [misc]simplify: iters left: 1 (87 enodes) 1550619450.620 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.621 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.621 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619450.621 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550619450.621 * * [misc]simplify: Extracting #4: cost 22 inf + 85 1550619450.621 * * [misc]simplify: Extracting #5: cost 27 inf + 86 1550619450.621 * * [misc]simplify: Extracting #6: cost 20 inf + 921 1550619450.623 * * [misc]simplify: Extracting #7: cost 3 inf + 5697 1550619450.624 * * [misc]simplify: Extracting #8: cost 0 inf + 7398 1550619450.626 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619450.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k))))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619450.626 * * * * [misc]progress: [ 134 / 327 ] simplifiying candidate # 1550619450.627 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619450.627 * * [misc]simplify: iters left: 6 (12 enodes) 1550619450.633 * * [misc]simplify: iters left: 5 (41 enodes) 1550619450.646 * * [misc]simplify: iters left: 4 (56 enodes) 1550619450.662 * * [misc]simplify: iters left: 3 (67 enodes) 1550619450.683 * * [misc]simplify: iters left: 2 (75 enodes) 1550619450.705 * * [misc]simplify: iters left: 1 (84 enodes) 1550619450.725 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.725 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.725 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619450.725 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619450.725 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619450.726 * * [misc]simplify: Extracting #5: cost 16 inf + 1467 1550619450.727 * * [misc]simplify: Extracting #6: cost 4 inf + 4789 1550619450.728 * * [misc]simplify: Extracting #7: cost 0 inf + 6492 1550619450.729 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619450.730 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 1))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619450.730 * * * * [misc]progress: [ 135 / 327 ] simplifiying candidate # 1550619450.730 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619450.730 * * [misc]simplify: iters left: 6 (12 enodes) 1550619450.736 * * [misc]simplify: iters left: 5 (41 enodes) 1550619450.748 * * [misc]simplify: iters left: 4 (56 enodes) 1550619450.765 * * [misc]simplify: iters left: 3 (67 enodes) 1550619450.783 * * [misc]simplify: iters left: 2 (75 enodes) 1550619450.797 * * [misc]simplify: iters left: 1 (84 enodes) 1550619450.809 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.809 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619450.809 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619450.809 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619450.809 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619450.809 * * [misc]simplify: Extracting #5: cost 16 inf + 1467 1550619450.809 * * [misc]simplify: Extracting #6: cost 4 inf + 4789 1550619450.810 * * [misc]simplify: Extracting #7: cost 0 inf + 6492 1550619450.811 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619450.811 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) 1)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619450.811 * * * * [misc]progress: [ 136 / 327 ] simplifiying candidate # 1550619450.811 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619450.811 * * [misc]simplify: iters left: 6 (12 enodes) 1550619450.816 * * [misc]simplify: iters left: 5 (43 enodes) 1550619450.823 * * [misc]simplify: iters left: 4 (56 enodes) 1550619450.833 * * [misc]simplify: iters left: 3 (69 enodes) 1550619450.842 * * [misc]simplify: iters left: 2 (74 enodes) 1550619450.861 * * [misc]simplify: iters left: 1 (83 enodes) 1550619450.879 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.879 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619450.880 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619450.880 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550619450.880 * * [misc]simplify: Extracting #4: cost 23 inf + 4 1550619450.880 * * [misc]simplify: Extracting #5: cost 12 inf + 1007 1550619450.881 * * [misc]simplify: Extracting #6: cost 1 inf + 4592 1550619450.882 * * [misc]simplify: Extracting #7: cost 0 inf + 4926 1550619450.884 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (sqrt (pow PI (- 1/2 (* k 1/2))))) 1550619450.884 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (sqrt (pow PI (- 1/2 (* k 1/2))))))) 1550619450.884 * * * * [misc]progress: [ 137 / 327 ] simplifiying candidate # 1550619450.884 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (pow n (* 1/2 k))) 1550619450.884 * * [misc]simplify: iters left: 6 (10 enodes) 1550619450.889 * * [misc]simplify: iters left: 5 (33 enodes) 1550619450.899 * * [misc]simplify: iters left: 4 (43 enodes) 1550619450.910 * * [misc]simplify: iters left: 3 (50 enodes) 1550619450.923 * * [misc]simplify: iters left: 2 (58 enodes) 1550619450.940 * * [misc]simplify: iters left: 1 (67 enodes) 1550619450.958 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619450.958 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619450.958 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619450.958 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619450.958 * * [misc]simplify: Extracting #4: cost 13 inf + 46 1550619450.959 * * [misc]simplify: Extracting #5: cost 11 inf + 1133 1550619450.959 * * [misc]simplify: Extracting #6: cost 3 inf + 3385 1550619450.960 * * [misc]simplify: Extracting #7: cost 0 inf + 3430 1550619450.961 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (pow n (* k 1/2))) 1550619450.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (pow n (* k 1/2))))) 1550619450.961 * * * * [misc]progress: [ 138 / 327 ] simplifiying candidate # 1550619450.961 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619450.962 * * [misc]simplify: iters left: 6 (12 enodes) 1550619450.967 * * [misc]simplify: iters left: 5 (39 enodes) 1550619450.979 * * [misc]simplify: iters left: 4 (49 enodes) 1550619450.993 * * [misc]simplify: iters left: 3 (56 enodes) 1550619451.009 * * [misc]simplify: iters left: 2 (64 enodes) 1550619451.029 * * [misc]simplify: iters left: 1 (73 enodes) 1550619451.046 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.046 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619451.046 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619451.046 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550619451.046 * * [misc]simplify: Extracting #4: cost 25 inf + 2 1550619451.046 * * [misc]simplify: Extracting #5: cost 10 inf + 1671 1550619451.047 * * [misc]simplify: Extracting #6: cost 0 inf + 4818 1550619451.049 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619451.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619451.049 * * * * [misc]progress: [ 139 / 327 ] simplifiying candidate # 1550619451.049 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619451.049 * * [misc]simplify: iters left: 6 (12 enodes) 1550619451.055 * * [misc]simplify: iters left: 5 (39 enodes) 1550619451.066 * * [misc]simplify: iters left: 4 (49 enodes) 1550619451.080 * * [misc]simplify: iters left: 3 (56 enodes) 1550619451.096 * * [misc]simplify: iters left: 2 (64 enodes) 1550619451.111 * * [misc]simplify: iters left: 1 (73 enodes) 1550619451.121 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.121 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619451.121 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619451.121 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550619451.121 * * [misc]simplify: Extracting #4: cost 25 inf + 2 1550619451.121 * * [misc]simplify: Extracting #5: cost 10 inf + 1671 1550619451.122 * * [misc]simplify: Extracting #6: cost 0 inf + 4658 1550619451.122 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619451.122 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619451.122 * * * * [misc]progress: [ 140 / 327 ] simplifiying candidate # 1550619451.123 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619451.123 * * [misc]simplify: iters left: 6 (13 enodes) 1550619451.126 * * [misc]simplify: iters left: 5 (48 enodes) 1550619451.133 * * [misc]simplify: iters left: 4 (60 enodes) 1550619451.147 * * [misc]simplify: iters left: 3 (67 enodes) 1550619451.157 * * [misc]simplify: iters left: 2 (75 enodes) 1550619451.168 * * [misc]simplify: iters left: 1 (84 enodes) 1550619451.178 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.178 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.178 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619451.178 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619451.178 * * [misc]simplify: Extracting #4: cost 21 inf + 452 1550619451.179 * * [misc]simplify: Extracting #5: cost 10 inf + 2487 1550619451.179 * * [misc]simplify: Extracting #6: cost 2 inf + 4982 1550619451.180 * * [misc]simplify: Extracting #7: cost 0 inf + 6312 1550619451.181 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))) 1550619451.181 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))) 1550619451.181 * * * * [misc]progress: [ 141 / 327 ] simplifiying candidate # 1550619451.182 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619451.182 * * [misc]simplify: iters left: 6 (13 enodes) 1550619451.188 * * [misc]simplify: iters left: 5 (48 enodes) 1550619451.206 * * [misc]simplify: iters left: 4 (60 enodes) 1550619451.222 * * [misc]simplify: iters left: 3 (67 enodes) 1550619451.238 * * [misc]simplify: iters left: 2 (75 enodes) 1550619451.258 * * [misc]simplify: iters left: 1 (84 enodes) 1550619451.275 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.275 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.275 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619451.276 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619451.276 * * [misc]simplify: Extracting #4: cost 21 inf + 452 1550619451.276 * * [misc]simplify: Extracting #5: cost 10 inf + 2487 1550619451.277 * * [misc]simplify: Extracting #6: cost 2 inf + 4982 1550619451.279 * * [misc]simplify: Extracting #7: cost 0 inf + 6312 1550619451.280 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))) 1550619451.280 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))) 1550619451.280 * * * * [misc]progress: [ 142 / 327 ] simplifiying candidate # 1550619451.280 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619451.281 * * [misc]simplify: iters left: 6 (13 enodes) 1550619451.286 * * [misc]simplify: iters left: 5 (44 enodes) 1550619451.298 * * [misc]simplify: iters left: 4 (59 enodes) 1550619451.312 * * [misc]simplify: iters left: 3 (70 enodes) 1550619451.322 * * [misc]simplify: iters left: 2 (78 enodes) 1550619451.336 * * [misc]simplify: iters left: 1 (87 enodes) 1550619451.351 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.352 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.352 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619451.352 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619451.352 * * [misc]simplify: Extracting #4: cost 25 inf + 328 1550619451.352 * * [misc]simplify: Extracting #5: cost 17 inf + 1616 1550619451.354 * * [misc]simplify: Extracting #6: cost 2 inf + 6166 1550619451.355 * * [misc]simplify: Extracting #7: cost 0 inf + 7534 1550619451.357 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))) 1550619451.357 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))) 1550619451.357 * * * * [misc]progress: [ 143 / 327 ] simplifiying candidate # 1550619451.357 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619451.357 * * [misc]simplify: iters left: 6 (13 enodes) 1550619451.360 * * [misc]simplify: iters left: 5 (44 enodes) 1550619451.367 * * [misc]simplify: iters left: 4 (59 enodes) 1550619451.376 * * [misc]simplify: iters left: 3 (70 enodes) 1550619451.387 * * [misc]simplify: iters left: 2 (78 enodes) 1550619451.403 * * [misc]simplify: iters left: 1 (87 enodes) 1550619451.424 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.425 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.425 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619451.425 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619451.425 * * [misc]simplify: Extracting #4: cost 25 inf + 328 1550619451.425 * * [misc]simplify: Extracting #5: cost 17 inf + 1616 1550619451.427 * * [misc]simplify: Extracting #6: cost 2 inf + 5926 1550619451.428 * * [misc]simplify: Extracting #7: cost 0 inf + 7214 1550619451.430 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))) 1550619451.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))) 1550619451.430 * * * * [misc]progress: [ 144 / 327 ] simplifiying candidate # 1550619451.430 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619451.431 * * [misc]simplify: iters left: 6 (12 enodes) 1550619451.439 * * [misc]simplify: iters left: 5 (41 enodes) 1550619451.448 * * [misc]simplify: iters left: 4 (56 enodes) 1550619451.457 * * [misc]simplify: iters left: 3 (67 enodes) 1550619451.466 * * [misc]simplify: iters left: 2 (75 enodes) 1550619451.479 * * [misc]simplify: iters left: 1 (84 enodes) 1550619451.499 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.499 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.499 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619451.500 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619451.500 * * [misc]simplify: Extracting #4: cost 23 inf + 328 1550619451.500 * * [misc]simplify: Extracting #5: cost 13 inf + 2253 1550619451.501 * * [misc]simplify: Extracting #6: cost 3 inf + 5109 1550619451.503 * * [misc]simplify: Extracting #7: cost 0 inf + 6308 1550619451.504 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) 1550619451.504 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))) 1550619451.504 * * * * [misc]progress: [ 145 / 327 ] simplifiying candidate # 1550619451.505 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619451.505 * * [misc]simplify: iters left: 6 (13 enodes) 1550619451.510 * * [misc]simplify: iters left: 5 (48 enodes) 1550619451.518 * * [misc]simplify: iters left: 4 (60 enodes) 1550619451.527 * * [misc]simplify: iters left: 3 (67 enodes) 1550619451.536 * * [misc]simplify: iters left: 2 (75 enodes) 1550619451.561 * * [misc]simplify: iters left: 1 (84 enodes) 1550619451.580 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.580 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.580 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619451.581 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619451.581 * * [misc]simplify: Extracting #4: cost 21 inf + 372 1550619451.581 * * [misc]simplify: Extracting #5: cost 10 inf + 2327 1550619451.582 * * [misc]simplify: Extracting #6: cost 2 inf + 4702 1550619451.584 * * [misc]simplify: Extracting #7: cost 0 inf + 5992 1550619451.585 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) 1550619451.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (sqrt (sqrt k)) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))) 1550619451.586 * * * * [misc]progress: [ 146 / 327 ] simplifiying candidate # 1550619451.586 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619451.586 * * [misc]simplify: iters left: 6 (13 enodes) 1550619451.592 * * [misc]simplify: iters left: 5 (48 enodes) 1550619451.608 * * [misc]simplify: iters left: 4 (60 enodes) 1550619451.625 * * [misc]simplify: iters left: 3 (67 enodes) 1550619451.642 * * [misc]simplify: iters left: 2 (75 enodes) 1550619451.656 * * [misc]simplify: iters left: 1 (84 enodes) 1550619451.666 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.666 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.666 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619451.666 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619451.666 * * [misc]simplify: Extracting #4: cost 21 inf + 372 1550619451.666 * * [misc]simplify: Extracting #5: cost 10 inf + 2327 1550619451.667 * * [misc]simplify: Extracting #6: cost 2 inf + 4702 1550619451.668 * * [misc]simplify: Extracting #7: cost 0 inf + 5992 1550619451.668 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) 1550619451.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (sqrt (sqrt k)) (pow n 1/2)))) (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))) 1550619451.668 * * * * [misc]progress: [ 147 / 327 ] simplifiying candidate # 1550619451.669 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619451.669 * * [misc]simplify: iters left: 6 (13 enodes) 1550619451.671 * * [misc]simplify: iters left: 5 (44 enodes) 1550619451.680 * * [misc]simplify: iters left: 4 (59 enodes) 1550619451.691 * * [misc]simplify: iters left: 3 (70 enodes) 1550619451.709 * * [misc]simplify: iters left: 2 (78 enodes) 1550619451.732 * * [misc]simplify: iters left: 1 (87 enodes) 1550619451.743 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.743 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.743 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619451.743 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619451.743 * * [misc]simplify: Extracting #4: cost 25 inf + 248 1550619451.743 * * [misc]simplify: Extracting #5: cost 17 inf + 1496 1550619451.744 * * [misc]simplify: Extracting #6: cost 2 inf + 5886 1550619451.744 * * [misc]simplify: Extracting #7: cost 0 inf + 7214 1550619451.745 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) 1550619451.745 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))) 1550619451.745 * * * * [misc]progress: [ 148 / 327 ] simplifiying candidate # 1550619451.746 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619451.746 * * [misc]simplify: iters left: 6 (13 enodes) 1550619451.749 * * [misc]simplify: iters left: 5 (44 enodes) 1550619451.755 * * [misc]simplify: iters left: 4 (59 enodes) 1550619451.763 * * [misc]simplify: iters left: 3 (70 enodes) 1550619451.782 * * [misc]simplify: iters left: 2 (78 enodes) 1550619451.804 * * [misc]simplify: iters left: 1 (87 enodes) 1550619451.815 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.815 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.815 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619451.815 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619451.815 * * [misc]simplify: Extracting #4: cost 25 inf + 248 1550619451.815 * * [misc]simplify: Extracting #5: cost 17 inf + 1496 1550619451.816 * * [misc]simplify: Extracting #6: cost 2 inf + 5646 1550619451.816 * * [misc]simplify: Extracting #7: cost 0 inf + 6894 1550619451.817 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) 1550619451.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))) 1550619451.817 * * * * [misc]progress: [ 149 / 327 ] simplifiying candidate # 1550619451.818 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619451.818 * * [misc]simplify: iters left: 6 (12 enodes) 1550619451.821 * * [misc]simplify: iters left: 5 (41 enodes) 1550619451.827 * * [misc]simplify: iters left: 4 (56 enodes) 1550619451.842 * * [misc]simplify: iters left: 3 (67 enodes) 1550619451.852 * * [misc]simplify: iters left: 2 (75 enodes) 1550619451.863 * * [misc]simplify: iters left: 1 (84 enodes) 1550619451.874 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.874 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.874 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619451.874 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619451.874 * * [misc]simplify: Extracting #4: cost 23 inf + 248 1550619451.875 * * [misc]simplify: Extracting #5: cost 13 inf + 2173 1550619451.876 * * [misc]simplify: Extracting #6: cost 3 inf + 4869 1550619451.877 * * [misc]simplify: Extracting #7: cost 0 inf + 5988 1550619451.878 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) 1550619451.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (sqrt (sqrt k)) 1))) (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))) 1550619451.878 * * * * [misc]progress: [ 150 / 327 ] simplifiying candidate # 1550619451.879 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619451.879 * * [misc]simplify: iters left: 6 (12 enodes) 1550619451.886 * * [misc]simplify: iters left: 5 (45 enodes) 1550619451.898 * * [misc]simplify: iters left: 4 (57 enodes) 1550619451.911 * * [misc]simplify: iters left: 3 (64 enodes) 1550619451.920 * * [misc]simplify: iters left: 2 (72 enodes) 1550619451.930 * * [misc]simplify: iters left: 1 (81 enodes) 1550619451.942 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619451.942 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619451.942 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619451.943 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619451.943 * * [misc]simplify: Extracting #4: cost 20 inf + 423 1550619451.943 * * [misc]simplify: Extracting #5: cost 8 inf + 2552 1550619451.944 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550619451.946 * * [misc]simplify: Extracting #7: cost 0 inf + 5590 1550619451.947 * [exit]simplify: Simplified to (/ (* (pow n (* k -1/2)) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) 1550619451.947 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ 1 (pow n 1/2)))) (/ (* (pow n (* k -1/2)) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))) 1550619451.947 * * * * [misc]progress: [ 151 / 327 ] simplifiying candidate # 1550619451.948 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619451.948 * * [misc]simplify: iters left: 6 (12 enodes) 1550619451.954 * * [misc]simplify: iters left: 5 (45 enodes) 1550619451.962 * * [misc]simplify: iters left: 4 (57 enodes) 1550619451.970 * * [misc]simplify: iters left: 3 (64 enodes) 1550619451.979 * * [misc]simplify: iters left: 2 (72 enodes) 1550619451.997 * * [misc]simplify: iters left: 1 (81 enodes) 1550619452.010 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.011 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619452.011 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619452.011 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619452.011 * * [misc]simplify: Extracting #4: cost 20 inf + 423 1550619452.011 * * [misc]simplify: Extracting #5: cost 8 inf + 2552 1550619452.012 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550619452.012 * * [misc]simplify: Extracting #7: cost 0 inf + 5590 1550619452.013 * [exit]simplify: Simplified to (/ (* (pow n (* k -1/2)) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) 1550619452.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ 1 (pow n 1/2)))) (/ (* (pow n (* k -1/2)) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))) 1550619452.013 * * * * [misc]progress: [ 152 / 327 ] simplifiying candidate # 1550619452.013 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619452.013 * * [misc]simplify: iters left: 6 (12 enodes) 1550619452.016 * * [misc]simplify: iters left: 5 (41 enodes) 1550619452.023 * * [misc]simplify: iters left: 4 (56 enodes) 1550619452.031 * * [misc]simplify: iters left: 3 (67 enodes) 1550619452.048 * * [misc]simplify: iters left: 2 (75 enodes) 1550619452.069 * * [misc]simplify: iters left: 1 (84 enodes) 1550619452.079 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.079 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619452.079 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619452.079 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619452.079 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619452.080 * * [misc]simplify: Extracting #5: cost 14 inf + 2544 1550619452.080 * * [misc]simplify: Extracting #6: cost 3 inf + 5693 1550619452.081 * * [misc]simplify: Extracting #7: cost 0 inf + 6812 1550619452.082 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) 1550619452.082 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) (/ (* (cbrt (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))) 1550619452.082 * * * * [misc]progress: [ 153 / 327 ] simplifiying candidate # 1550619452.082 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619452.082 * * [misc]simplify: iters left: 6 (12 enodes) 1550619452.085 * * [misc]simplify: iters left: 5 (41 enodes) 1550619452.095 * * [misc]simplify: iters left: 4 (56 enodes) 1550619452.110 * * [misc]simplify: iters left: 3 (67 enodes) 1550619452.128 * * [misc]simplify: iters left: 2 (75 enodes) 1550619452.149 * * [misc]simplify: iters left: 1 (84 enodes) 1550619452.168 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.168 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619452.168 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619452.169 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619452.169 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619452.169 * * [misc]simplify: Extracting #5: cost 14 inf + 2424 1550619452.170 * * [misc]simplify: Extracting #6: cost 3 inf + 5413 1550619452.172 * * [misc]simplify: Extracting #7: cost 0 inf + 6492 1550619452.173 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) 1550619452.173 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k))))))) (/ (* (sqrt (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))) 1550619452.174 * * * * [misc]progress: [ 154 / 327 ] simplifiying candidate # 1550619452.174 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619452.174 * * [misc]simplify: iters left: 6 (11 enodes) 1550619452.179 * * [misc]simplify: iters left: 5 (38 enodes) 1550619452.191 * * [misc]simplify: iters left: 4 (53 enodes) 1550619452.202 * * [misc]simplify: iters left: 3 (64 enodes) 1550619452.211 * * [misc]simplify: iters left: 2 (72 enodes) 1550619452.225 * * [misc]simplify: iters left: 1 (81 enodes) 1550619452.240 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.240 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619452.240 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619452.241 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619452.241 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619452.241 * * [misc]simplify: Extracting #5: cost 10 inf + 1795 1550619452.241 * * [misc]simplify: Extracting #6: cost 0 inf + 5586 1550619452.242 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619452.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ 1 1))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619452.242 * * * * [misc]progress: [ 155 / 327 ] simplifiying candidate # 1550619452.242 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619452.242 * * [misc]simplify: iters left: 6 (11 enodes) 1550619452.245 * * [misc]simplify: iters left: 5 (38 enodes) 1550619452.251 * * [misc]simplify: iters left: 4 (53 enodes) 1550619452.258 * * [misc]simplify: iters left: 3 (64 enodes) 1550619452.269 * * [misc]simplify: iters left: 2 (72 enodes) 1550619452.289 * * [misc]simplify: iters left: 1 (81 enodes) 1550619452.308 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.308 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619452.308 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619452.308 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619452.308 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619452.309 * * [misc]simplify: Extracting #5: cost 10 inf + 1795 1550619452.310 * * [misc]simplify: Extracting #6: cost 0 inf + 5586 1550619452.311 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619452.311 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 1)) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619452.311 * * * * [misc]progress: [ 156 / 327 ] simplifiying candidate # 1550619452.311 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619452.312 * * [misc]simplify: iters left: 6 (11 enodes) 1550619452.317 * * [misc]simplify: iters left: 5 (40 enodes) 1550619452.330 * * [misc]simplify: iters left: 4 (53 enodes) 1550619452.345 * * [misc]simplify: iters left: 3 (66 enodes) 1550619452.360 * * [misc]simplify: iters left: 2 (71 enodes) 1550619452.370 * * [misc]simplify: iters left: 1 (80 enodes) 1550619452.379 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.379 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619452.379 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619452.380 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1550619452.380 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1550619452.380 * * [misc]simplify: Extracting #5: cost 10 inf + 1551 1550619452.380 * * [misc]simplify: Extracting #6: cost 0 inf + 4100 1550619452.381 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) 1550619452.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))))) 1550619452.381 * * * * [misc]progress: [ 157 / 327 ] simplifiying candidate # 1550619452.381 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (pow n (* 1/2 k))) 1550619452.381 * * [misc]simplify: iters left: 6 (9 enodes) 1550619452.384 * * [misc]simplify: iters left: 5 (30 enodes) 1550619452.392 * * [misc]simplify: iters left: 4 (40 enodes) 1550619452.402 * * [misc]simplify: iters left: 3 (47 enodes) 1550619452.415 * * [misc]simplify: iters left: 2 (55 enodes) 1550619452.431 * * [misc]simplify: iters left: 1 (64 enodes) 1550619452.447 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.447 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619452.447 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619452.447 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619452.447 * * [misc]simplify: Extracting #4: cost 13 inf + 423 1550619452.447 * * [misc]simplify: Extracting #5: cost 7 inf + 1136 1550619452.448 * * [misc]simplify: Extracting #6: cost 0 inf + 2684 1550619452.449 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (pow n (* k 1/2))) 1550619452.449 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (/ (sqrt k) (pow n 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (pow n (* k 1/2))))) 1550619452.449 * * * * [misc]progress: [ 158 / 327 ] simplifiying candidate # 1550619452.449 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619452.449 * * [misc]simplify: iters left: 6 (11 enodes) 1550619452.455 * * [misc]simplify: iters left: 5 (38 enodes) 1550619452.467 * * [misc]simplify: iters left: 4 (53 enodes) 1550619452.484 * * [misc]simplify: iters left: 3 (64 enodes) 1550619452.501 * * [misc]simplify: iters left: 2 (72 enodes) 1550619452.514 * * [misc]simplify: iters left: 1 (81 enodes) 1550619452.524 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.524 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619452.524 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619452.524 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619452.524 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619452.524 * * [misc]simplify: Extracting #5: cost 10 inf + 1795 1550619452.525 * * [misc]simplify: Extracting #6: cost 0 inf + 5586 1550619452.527 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619452.527 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) 1) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619452.527 * * * * [misc]progress: [ 159 / 327 ] simplifiying candidate # 1550619452.527 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619452.527 * * [misc]simplify: iters left: 6 (10 enodes) 1550619452.533 * * [misc]simplify: iters left: 5 (37 enodes) 1550619452.543 * * [misc]simplify: iters left: 4 (54 enodes) 1550619452.550 * * [misc]simplify: iters left: 3 (62 enodes) 1550619452.559 * * [misc]simplify: iters left: 2 (78 enodes) 1550619452.578 * * [misc]simplify: iters left: 1 (85 enodes) 1550619452.594 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.594 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619452.594 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619452.594 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1550619452.594 * * [misc]simplify: Extracting #4: cost 15 inf + 252 1550619452.594 * * [misc]simplify: Extracting #5: cost 2 inf + 2413 1550619452.595 * * [misc]simplify: Extracting #6: cost 0 inf + 2827 1550619452.595 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (sqrt k)) 1550619452.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (/ (pow n (- 1/2 (* k 1/2))) (sqrt k)))) 1550619452.595 * * * * [misc]progress: [ 160 / 327 ] simplifiying candidate # 1550619452.595 * [enter]simplify: Simplifying (pow n (- 1/2 (* 1/2 k))) 1550619452.595 * * [misc]simplify: iters left: 5 (6 enodes) 1550619452.597 * * [misc]simplify: iters left: 4 (21 enodes) 1550619452.600 * * [misc]simplify: iters left: 3 (31 enodes) 1550619452.605 * * [misc]simplify: iters left: 2 (38 enodes) 1550619452.610 * * [misc]simplify: iters left: 1 (46 enodes) 1550619452.618 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.618 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619452.618 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619452.618 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619452.619 * * [misc]simplify: Extracting #4: cost 7 inf + 294 1550619452.619 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1550619452.619 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619452.620 * [exit]simplify: Simplified to (pow n (- 1/2 (* k 1/2))) 1550619452.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow n (- 1/2 (* k 1/2))))) 1550619452.620 * * * * [misc]progress: [ 161 / 327 ] simplifiying candidate # 1550619452.620 * [enter]simplify: Simplifying (pow 2 1/2) 1550619452.620 * * [misc]simplify: iters left: 1 (3 enodes) 1550619452.623 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.623 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619452.623 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619452.623 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1550619452.623 * [exit]simplify: Simplified to (sqrt 2) 1550619452.624 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt 2) (* (pow 2 (- (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619452.624 * * * * [misc]progress: [ 162 / 327 ] simplifiying candidate # 1550619452.624 * [enter]simplify: Simplifying (pow 2 1/2) 1550619452.624 * * [misc]simplify: iters left: 1 (3 enodes) 1550619452.627 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.627 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619452.627 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619452.627 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1550619452.627 * [exit]simplify: Simplified to (sqrt 2) 1550619452.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt 2) (* (pow 2 (- (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619452.627 * * * * [misc]progress: [ 163 / 327 ] simplifiying candidate # 1550619452.628 * [enter]simplify: Simplifying (* (cbrt (pow 2 (- 1/2 (* 1/2 k)))) (cbrt (pow 2 (- 1/2 (* 1/2 k))))) 1550619452.628 * * [misc]simplify: iters left: 6 (8 enodes) 1550619452.632 * * [misc]simplify: iters left: 5 (27 enodes) 1550619452.640 * * [misc]simplify: iters left: 4 (37 enodes) 1550619452.652 * * [misc]simplify: iters left: 3 (44 enodes) 1550619452.664 * * [misc]simplify: iters left: 2 (52 enodes) 1550619452.680 * * [misc]simplify: iters left: 1 (61 enodes) 1550619452.695 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.695 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619452.695 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619452.695 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550619452.695 * * [misc]simplify: Extracting #4: cost 12 inf + 1 1550619452.695 * * [misc]simplify: Extracting #5: cost 18 inf + 2 1550619452.695 * * [misc]simplify: Extracting #6: cost 14 inf + 88 1550619452.696 * * [misc]simplify: Extracting #7: cost 6 inf + 754 1550619452.696 * * [misc]simplify: Extracting #8: cost 1 inf + 2248 1550619452.697 * * [misc]simplify: Extracting #9: cost 0 inf + 2661 1550619452.697 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (* k 1/2)))) (cbrt (pow 2 (- 1/2 (* k 1/2))))) 1550619452.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (* k 1/2)))) (cbrt (pow 2 (- 1/2 (* k 1/2))))) (* (cbrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619452.698 * * * * [misc]progress: [ 164 / 327 ] simplifiying candidate # 1550619452.698 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (* 1/2 k)))) 1550619452.698 * * [misc]simplify: iters left: 6 (7 enodes) 1550619452.702 * * [misc]simplify: iters left: 5 (24 enodes) 1550619452.710 * * [misc]simplify: iters left: 4 (34 enodes) 1550619452.722 * * [misc]simplify: iters left: 3 (41 enodes) 1550619452.734 * * [misc]simplify: iters left: 2 (49 enodes) 1550619452.749 * * [misc]simplify: iters left: 1 (58 enodes) 1550619452.763 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.763 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619452.763 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619452.763 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619452.764 * * [misc]simplify: Extracting #4: cost 16 inf + 2 1550619452.764 * * [misc]simplify: Extracting #5: cost 8 inf + 256 1550619452.764 * * [misc]simplify: Extracting #6: cost 3 inf + 796 1550619452.765 * * [misc]simplify: Extracting #7: cost 1 inf + 1422 1550619452.765 * * [misc]simplify: Extracting #8: cost 0 inf + 1755 1550619452.766 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (* k 1/2)))) 1550619452.766 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow 2 (- 1/2 (* k 1/2)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619452.766 * * * * [misc]progress: [ 165 / 327 ] simplifiying candidate # 1550619452.766 * * * * [misc]progress: [ 166 / 327 ] simplifiying candidate # 1550619452.766 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) 1550619452.767 * * [misc]simplify: iters left: 6 (8 enodes) 1550619452.771 * * [misc]simplify: iters left: 5 (27 enodes) 1550619452.779 * * [misc]simplify: iters left: 4 (37 enodes) 1550619452.789 * * [misc]simplify: iters left: 3 (44 enodes) 1550619452.801 * * [misc]simplify: iters left: 2 (52 enodes) 1550619452.817 * * [misc]simplify: iters left: 1 (61 enodes) 1550619452.831 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.831 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619452.831 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619452.831 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1550619452.831 * * [misc]simplify: Extracting #4: cost 16 inf + 44 1550619452.832 * * [misc]simplify: Extracting #5: cost 8 inf + 458 1550619452.832 * * [misc]simplify: Extracting #6: cost 2 inf + 1502 1550619452.833 * * [misc]simplify: Extracting #7: cost 0 inf + 1917 1550619452.833 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) 1550619452.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619452.833 * * * * [misc]progress: [ 167 / 327 ] simplifiying candidate # 1550619452.834 * [enter]simplify: Simplifying (* (pow 2 1/2) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619452.834 * * [misc]simplify: iters left: 6 (14 enodes) 1550619452.841 * * [misc]simplify: iters left: 5 (51 enodes) 1550619452.853 * * [misc]simplify: iters left: 4 (78 enodes) 1550619452.867 * * [misc]simplify: iters left: 3 (115 enodes) 1550619452.895 * * [misc]simplify: iters left: 2 (143 enodes) 1550619452.935 * * [misc]simplify: iters left: 1 (170 enodes) 1550619452.980 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619452.980 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1550619452.980 * * [misc]simplify: Extracting #2: cost 49 inf + 0 1550619452.980 * * [misc]simplify: Extracting #3: cost 47 inf + 46 1550619452.983 * * [misc]simplify: Extracting #4: cost 41 inf + 1781 1550619452.985 * * [misc]simplify: Extracting #5: cost 6 inf + 14638 1550619452.990 * * [misc]simplify: Extracting #6: cost 0 inf + 17390 1550619452.994 * [exit]simplify: Simplified to (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (sqrt 2)) (pow n (- 1/2 (* 1/2 k)))) 1550619452.994 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (sqrt 2)) (pow n (- 1/2 (* 1/2 k)))) (pow 2 (* 1/2 k)))) 1550619452.994 * * * * [misc]progress: [ 168 / 327 ] simplifiying candidate #real (real->posit16 (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))))> 1550619452.994 * * * * [misc]progress: [ 169 / 327 ] simplifiying candidate # 1550619452.994 * * * * [misc]progress: [ 170 / 327 ] simplifiying candidate # 1550619452.994 * * * * [misc]progress: [ 171 / 327 ] simplifiying candidate # 1550619452.995 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (* 1/2 k))) (- (log (sqrt k)) (* (log n) (- 1/2 (* 1/2 k))))) 1550619452.995 * * [misc]simplify: iters left: 6 (14 enodes) 1550619453.001 * * [misc]simplify: iters left: 5 (53 enodes) 1550619453.018 * * [misc]simplify: iters left: 4 (95 enodes) 1550619453.053 * * [misc]simplify: iters left: 3 (214 enodes) 1550619453.111 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619453.111 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1550619453.111 * * [misc]simplify: Extracting #2: cost 128 inf + 0 1550619453.112 * * [misc]simplify: Extracting #3: cost 141 inf + 403 1550619453.113 * * [misc]simplify: Extracting #4: cost 112 inf + 3072 1550619453.119 * * [misc]simplify: Extracting #5: cost 48 inf + 19994 1550619453.129 * * [misc]simplify: Extracting #6: cost 0 inf + 34140 1550619453.135 * * [misc]simplify: Extracting #7: cost 0 inf + 34060 1550619453.142 * * [misc]simplify: Extracting #8: cost 0 inf + 34020 1550619453.148 * [exit]simplify: Simplified to (- (* (- 1/2 (* 1/2 k)) (+ (log n) (log PI))) (log (sqrt k))) 1550619453.148 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (exp (- (* (- 1/2 (* 1/2 k)) (+ (log n) (log PI))) (log (sqrt k)))))) 1550619453.148 * * * * [misc]progress: [ 172 / 327 ] simplifiying candidate # 1550619453.148 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (* 1/2 k))) (- (log (sqrt k)) (log (pow n (- 1/2 (* 1/2 k)))))) 1550619453.148 * * [misc]simplify: iters left: 6 (14 enodes) 1550619453.152 * * [misc]simplify: iters left: 5 (54 enodes) 1550619453.164 * * [misc]simplify: iters left: 4 (91 enodes) 1550619453.194 * * [misc]simplify: iters left: 3 (171 enodes) 1550619453.243 * * [misc]simplify: iters left: 2 (429 enodes) 1550619453.426 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619453.426 * * [misc]simplify: Extracting #1: cost 51 inf + 0 1550619453.428 * * [misc]simplify: Extracting #2: cost 227 inf + 0 1550619453.430 * * [misc]simplify: Extracting #3: cost 252 inf + 444 1550619453.435 * * [misc]simplify: Extracting #4: cost 198 inf + 12331 1550619453.451 * * [misc]simplify: Extracting #5: cost 78 inf + 43860 1550619453.471 * * [misc]simplify: Extracting #6: cost 4 inf + 66806 1550619453.488 * * [misc]simplify: Extracting #7: cost 0 inf + 68544 1550619453.512 * * [misc]simplify: Extracting #8: cost 0 inf + 68505 1550619453.539 * [exit]simplify: Simplified to (- (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) (log (sqrt k))) 1550619453.539 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (exp (- (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) (log (sqrt k)))))) 1550619453.540 * * * * [misc]progress: [ 173 / 327 ] simplifiying candidate # 1550619453.540 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (* 1/2 k))) (log (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619453.540 * * [misc]simplify: iters left: 6 (13 enodes) 1550619453.546 * * [misc]simplify: iters left: 5 (48 enodes) 1550619453.562 * * [misc]simplify: iters left: 4 (77 enodes) 1550619453.587 * * [misc]simplify: iters left: 3 (137 enodes) 1550619453.634 * * [misc]simplify: iters left: 2 (268 enodes) 1550619453.707 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619453.707 * * [misc]simplify: Extracting #1: cost 37 inf + 0 1550619453.707 * * [misc]simplify: Extracting #2: cost 116 inf + 0 1550619453.707 * * [misc]simplify: Extracting #3: cost 138 inf + 292 1550619453.708 * * [misc]simplify: Extracting #4: cost 105 inf + 4305 1550619453.711 * * [misc]simplify: Extracting #5: cost 47 inf + 21729 1550619453.717 * * [misc]simplify: Extracting #6: cost 8 inf + 29779 1550619453.723 * * [misc]simplify: Extracting #7: cost 0 inf + 31760 1550619453.729 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k))) (* (log n) (- 1/2 (* 1/2 k)))) 1550619453.729 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (exp (+ (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k))) (* (log n) (- 1/2 (* 1/2 k))))))) 1550619453.730 * * * * [misc]progress: [ 174 / 327 ] simplifiying candidate # 1550619453.730 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (* 1/2 k)))) (- (log (sqrt k)) (* (log n) (- 1/2 (* 1/2 k))))) 1550619453.730 * * [misc]simplify: iters left: 6 (14 enodes) 1550619453.733 * * [misc]simplify: iters left: 5 (54 enodes) 1550619453.742 * * [misc]simplify: iters left: 4 (93 enodes) 1550619453.766 * * [misc]simplify: iters left: 3 (180 enodes) 1550619453.843 * * [misc]simplify: iters left: 2 (426 enodes) 1550619454.015 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619454.015 * * [misc]simplify: Extracting #1: cost 48 inf + 0 1550619454.016 * * [misc]simplify: Extracting #2: cost 208 inf + 0 1550619454.018 * * [misc]simplify: Extracting #3: cost 231 inf + 402 1550619454.022 * * [misc]simplify: Extracting #4: cost 185 inf + 10062 1550619454.041 * * [misc]simplify: Extracting #5: cost 44 inf + 49031 1550619454.066 * * [misc]simplify: Extracting #6: cost 2 inf + 63101 1550619454.095 * * [misc]simplify: Extracting #7: cost 0 inf + 63643 1550619454.121 * [exit]simplify: Simplified to (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))) 1550619454.122 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (exp (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))))) 1550619454.122 * * * * [misc]progress: [ 175 / 327 ] simplifiying candidate # 1550619454.122 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (* 1/2 k)))) (- (log (sqrt k)) (log (pow n (- 1/2 (* 1/2 k)))))) 1550619454.122 * * [misc]simplify: iters left: 6 (14 enodes) 1550619454.129 * * [misc]simplify: iters left: 5 (55 enodes) 1550619454.139 * * [misc]simplify: iters left: 4 (89 enodes) 1550619454.152 * * [misc]simplify: iters left: 3 (137 enodes) 1550619454.199 * * [misc]simplify: iters left: 2 (357 enodes) 1550619454.380 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619454.380 * * [misc]simplify: Extracting #1: cost 56 inf + 0 1550619454.382 * * [misc]simplify: Extracting #2: cost 250 inf + 0 1550619454.384 * * [misc]simplify: Extracting #3: cost 282 inf + 444 1550619454.388 * * [misc]simplify: Extracting #4: cost 235 inf + 12129 1550619454.404 * * [misc]simplify: Extracting #5: cost 93 inf + 52272 1550619454.436 * * [misc]simplify: Extracting #6: cost 1 inf + 80521 1550619454.463 * * [misc]simplify: Extracting #7: cost 0 inf + 80501 1550619454.477 * * [misc]simplify: Extracting #8: cost 0 inf + 80462 1550619454.492 * [exit]simplify: Simplified to (- (* (+ (log n) (log PI)) (- 1/2 (* k 1/2))) (log (sqrt k))) 1550619454.492 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (exp (- (* (+ (log n) (log PI)) (- 1/2 (* k 1/2))) (log (sqrt k)))))) 1550619454.492 * * * * [misc]progress: [ 176 / 327 ] simplifiying candidate # 1550619454.492 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619454.492 * * [misc]simplify: iters left: 6 (13 enodes) 1550619454.498 * * [misc]simplify: iters left: 5 (49 enodes) 1550619454.512 * * [misc]simplify: iters left: 4 (75 enodes) 1550619454.531 * * [misc]simplify: iters left: 3 (107 enodes) 1550619454.568 * * [misc]simplify: iters left: 2 (220 enodes) 1550619454.657 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619454.657 * * [misc]simplify: Extracting #1: cost 44 inf + 0 1550619454.658 * * [misc]simplify: Extracting #2: cost 128 inf + 0 1550619454.659 * * [misc]simplify: Extracting #3: cost 151 inf + 210 1550619454.660 * * [misc]simplify: Extracting #4: cost 133 inf + 2120 1550619454.664 * * [misc]simplify: Extracting #5: cost 73 inf + 17660 1550619454.677 * * [misc]simplify: Extracting #6: cost 6 inf + 34509 1550619454.684 * * [misc]simplify: Extracting #7: cost 0 inf + 36078 1550619454.690 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))) (* (log n) (- 1/2 (* k 1/2)))) 1550619454.690 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (exp (+ (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))) (* (log n) (- 1/2 (* k 1/2))))))) 1550619454.690 * * * * [misc]progress: [ 177 / 327 ] simplifiying candidate # 1550619454.691 * * * * [misc]progress: [ 178 / 327 ] simplifiying candidate # 1550619454.691 * * * * [misc]progress: [ 179 / 327 ] simplifiying candidate # 1550619454.691 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))))) 1550619454.691 * * [misc]simplify: iters left: 6 (17 enodes) 1550619454.695 * * [misc]simplify: iters left: 5 (66 enodes) 1550619454.707 * * [misc]simplify: iters left: 4 (168 enodes) 1550619454.784 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619454.784 * * [misc]simplify: Extracting #1: cost 77 inf + 0 1550619454.786 * * [misc]simplify: Extracting #2: cost 186 inf + 42 1550619454.787 * * [misc]simplify: Extracting #3: cost 194 inf + 167 1550619454.791 * * [misc]simplify: Extracting #4: cost 150 inf + 21570 1550619454.804 * * [misc]simplify: Extracting #5: cost 24 inf + 91719 1550619454.820 * * [misc]simplify: Extracting #6: cost 0 inf + 105373 1550619454.844 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))) (/ (/ (* k (sqrt k)) (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (pow n (- 1/2 (* k 1/2))))) 1550619454.844 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (cbrt (/ (* (pow PI (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))) (/ (/ (* k (sqrt k)) (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (pow n (- 1/2 (* k 1/2)))))))) 1550619454.844 * * * * [misc]progress: [ 180 / 327 ] simplifiying candidate # 1550619454.845 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (* (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619454.845 * * [misc]simplify: iters left: 6 (15 enodes) 1550619454.852 * * [misc]simplify: iters left: 5 (63 enodes) 1550619454.874 * * [misc]simplify: iters left: 4 (145 enodes) 1550619454.933 * * [misc]simplify: iters left: 3 (371 enodes) 1550619455.171 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.171 * * [misc]simplify: Extracting #1: cost 84 inf + 0 1550619455.172 * * [misc]simplify: Extracting #2: cost 234 inf + 1 1550619455.174 * * [misc]simplify: Extracting #3: cost 238 inf + 45 1550619455.177 * * [misc]simplify: Extracting #4: cost 189 inf + 24746 1550619455.207 * * [misc]simplify: Extracting #5: cost 25 inf + 122422 1550619455.237 * * [misc]simplify: Extracting #6: cost 0 inf + 135980 1550619455.285 * * [misc]simplify: Extracting #7: cost 0 inf + 135849 1550619455.323 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (/ (sqrt k) (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (/ k (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))))))) 1550619455.323 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (cbrt (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (/ (sqrt k) (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (/ k (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))))))))) 1550619455.323 * * * * [misc]progress: [ 181 / 327 ] simplifiying candidate # 1550619455.323 * * * * [misc]progress: [ 182 / 327 ] simplifiying candidate # 1550619455.323 * * * * [misc]progress: [ 183 / 327 ] simplifiying candidate # 1550619455.323 * * * * [misc]progress: [ 184 / 327 ] simplifiying candidate # 1550619455.323 * * * * [misc]progress: [ 185 / 327 ] simplifiying candidate # 1550619455.324 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619455.324 * * [misc]simplify: iters left: 6 (13 enodes) 1550619455.327 * * [misc]simplify: iters left: 5 (45 enodes) 1550619455.333 * * [misc]simplify: iters left: 4 (57 enodes) 1550619455.343 * * [misc]simplify: iters left: 3 (64 enodes) 1550619455.353 * * [misc]simplify: iters left: 2 (72 enodes) 1550619455.373 * * [misc]simplify: iters left: 1 (81 enodes) 1550619455.392 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.392 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619455.392 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619455.392 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619455.392 * * [misc]simplify: Extracting #4: cost 17 inf + 84 1550619455.392 * * [misc]simplify: Extracting #5: cost 19 inf + 86 1550619455.393 * * [misc]simplify: Extracting #6: cost 17 inf + 1333 1550619455.393 * * [misc]simplify: Extracting #7: cost 3 inf + 5572 1550619455.394 * * [misc]simplify: Extracting #8: cost 0 inf + 6108 1550619455.395 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619455.395 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) (/ (pow PI (- (* 1/2 k))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619455.395 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619455.395 * * [misc]simplify: iters left: 6 (13 enodes) 1550619455.398 * * [misc]simplify: iters left: 5 (46 enodes) 1550619455.405 * * [misc]simplify: iters left: 4 (53 enodes) 1550619455.412 * * [misc]simplify: iters left: 3 (56 enodes) 1550619455.420 * * [misc]simplify: iters left: 2 (64 enodes) 1550619455.434 * * [misc]simplify: iters left: 1 (73 enodes) 1550619455.453 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.453 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619455.453 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619455.453 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619455.453 * * [misc]simplify: Extracting #4: cost 17 inf + 128 1550619455.453 * * [misc]simplify: Extracting #5: cost 10 inf + 965 1550619455.454 * * [misc]simplify: Extracting #6: cost 4 inf + 4282 1550619455.454 * * [misc]simplify: Extracting #7: cost 0 inf + 4820 1550619455.455 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619455.455 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619455.455 * * * * [misc]progress: [ 186 / 327 ] simplifiying candidate # 1550619455.455 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619455.455 * * [misc]simplify: iters left: 6 (12 enodes) 1550619455.458 * * [misc]simplify: iters left: 5 (40 enodes) 1550619455.464 * * [misc]simplify: iters left: 4 (50 enodes) 1550619455.472 * * [misc]simplify: iters left: 3 (57 enodes) 1550619455.480 * * [misc]simplify: iters left: 2 (65 enodes) 1550619455.495 * * [misc]simplify: iters left: 1 (74 enodes) 1550619455.513 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.513 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619455.513 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619455.513 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550619455.513 * * [misc]simplify: Extracting #4: cost 14 inf + 43 1550619455.513 * * [misc]simplify: Extracting #5: cost 15 inf + 86 1550619455.513 * * [misc]simplify: Extracting #6: cost 16 inf + 374 1550619455.514 * * [misc]simplify: Extracting #7: cost 8 inf + 1542 1550619455.515 * * [misc]simplify: Extracting #8: cost 0 inf + 3814 1550619455.516 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619455.516 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619455.516 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619455.517 * * [misc]simplify: iters left: 6 (13 enodes) 1550619455.522 * * [misc]simplify: iters left: 5 (46 enodes) 1550619455.529 * * [misc]simplify: iters left: 4 (53 enodes) 1550619455.537 * * [misc]simplify: iters left: 3 (56 enodes) 1550619455.545 * * [misc]simplify: iters left: 2 (64 enodes) 1550619455.560 * * [misc]simplify: iters left: 1 (73 enodes) 1550619455.576 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.576 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619455.576 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619455.576 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619455.576 * * [misc]simplify: Extracting #4: cost 17 inf + 128 1550619455.577 * * [misc]simplify: Extracting #5: cost 10 inf + 965 1550619455.577 * * [misc]simplify: Extracting #6: cost 4 inf + 4162 1550619455.578 * * [misc]simplify: Extracting #7: cost 0 inf + 4660 1550619455.579 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619455.579 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619455.579 * * * * [misc]progress: [ 187 / 327 ] simplifiying candidate # 1550619455.580 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619455.580 * * [misc]simplify: iters left: 6 (11 enodes) 1550619455.585 * * [misc]simplify: iters left: 5 (39 enodes) 1550619455.595 * * [misc]simplify: iters left: 4 (51 enodes) 1550619455.608 * * [misc]simplify: iters left: 3 (70 enodes) 1550619455.625 * * [misc]simplify: iters left: 2 (76 enodes) 1550619455.634 * * [misc]simplify: iters left: 1 (84 enodes) 1550619455.645 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.645 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619455.645 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550619455.645 * * [misc]simplify: Extracting #3: cost 31 inf + 44 1550619455.645 * * [misc]simplify: Extracting #4: cost 23 inf + 654 1550619455.646 * * [misc]simplify: Extracting #5: cost 3 inf + 4894 1550619455.647 * * [misc]simplify: Extracting #6: cost 0 inf + 5580 1550619455.648 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619455.648 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619455.648 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619455.648 * * [misc]simplify: iters left: 6 (12 enodes) 1550619455.652 * * [misc]simplify: iters left: 5 (44 enodes) 1550619455.662 * * [misc]simplify: iters left: 4 (55 enodes) 1550619455.677 * * [misc]simplify: iters left: 3 (59 enodes) 1550619455.691 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.691 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619455.691 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619455.691 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619455.691 * * [misc]simplify: Extracting #4: cost 17 inf + 370 1550619455.692 * * [misc]simplify: Extracting #5: cost 10 inf + 1085 1550619455.692 * * [misc]simplify: Extracting #6: cost 2 inf + 4662 1550619455.693 * * [misc]simplify: Extracting #7: cost 0 inf + 5579 1550619455.694 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))) 1550619455.694 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2))))))) 1550619455.694 * * * * [misc]progress: [ 188 / 327 ] simplifiying candidate # 1550619455.695 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619455.695 * * [misc]simplify: iters left: 6 (11 enodes) 1550619455.699 * * [misc]simplify: iters left: 5 (39 enodes) 1550619455.710 * * [misc]simplify: iters left: 4 (51 enodes) 1550619455.720 * * [misc]simplify: iters left: 3 (70 enodes) 1550619455.730 * * [misc]simplify: iters left: 2 (76 enodes) 1550619455.740 * * [misc]simplify: iters left: 1 (84 enodes) 1550619455.755 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.755 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619455.755 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550619455.755 * * [misc]simplify: Extracting #3: cost 31 inf + 44 1550619455.755 * * [misc]simplify: Extracting #4: cost 23 inf + 654 1550619455.756 * * [misc]simplify: Extracting #5: cost 3 inf + 4894 1550619455.757 * * [misc]simplify: Extracting #6: cost 0 inf + 5580 1550619455.758 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619455.758 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619455.758 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619455.758 * * [misc]simplify: iters left: 6 (12 enodes) 1550619455.761 * * [misc]simplify: iters left: 5 (44 enodes) 1550619455.768 * * [misc]simplify: iters left: 4 (55 enodes) 1550619455.778 * * [misc]simplify: iters left: 3 (59 enodes) 1550619455.792 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.793 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619455.793 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619455.793 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619455.793 * * [misc]simplify: Extracting #4: cost 17 inf + 370 1550619455.793 * * [misc]simplify: Extracting #5: cost 10 inf + 1085 1550619455.794 * * [misc]simplify: Extracting #6: cost 2 inf + 4662 1550619455.795 * * [misc]simplify: Extracting #7: cost 0 inf + 5579 1550619455.796 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))) 1550619455.796 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2))))))) 1550619455.796 * * * * [misc]progress: [ 189 / 327 ] simplifiying candidate # 1550619455.797 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619455.797 * * [misc]simplify: iters left: 6 (15 enodes) 1550619455.803 * * [misc]simplify: iters left: 5 (57 enodes) 1550619455.812 * * [misc]simplify: iters left: 4 (96 enodes) 1550619455.827 * * [misc]simplify: iters left: 3 (140 enodes) 1550619455.863 * * [misc]simplify: iters left: 2 (178 enodes) 1550619455.902 * * [misc]simplify: iters left: 1 (219 enodes) 1550619455.943 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619455.943 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1550619455.944 * * [misc]simplify: Extracting #2: cost 56 inf + 0 1550619455.944 * * [misc]simplify: Extracting #3: cost 59 inf + 2 1550619455.945 * * [misc]simplify: Extracting #4: cost 50 inf + 1418 1550619455.946 * * [misc]simplify: Extracting #5: cost 48 inf + 2714 1550619455.949 * * [misc]simplify: Extracting #6: cost 17 inf + 16008 1550619455.956 * * [misc]simplify: Extracting #7: cost 0 inf + 25145 1550619455.963 * * [misc]simplify: Extracting #8: cost 0 inf + 25105 1550619455.969 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) (sqrt PI)) 1550619455.970 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (* (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) (sqrt PI)) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619455.970 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619455.970 * * [misc]simplify: iters left: 6 (14 enodes) 1550619455.981 * * [misc]simplify: iters left: 5 (51 enodes) 1550619455.996 * * [misc]simplify: iters left: 4 (63 enodes) 1550619456.011 * * [misc]simplify: iters left: 3 (70 enodes) 1550619456.028 * * [misc]simplify: iters left: 2 (78 enodes) 1550619456.047 * * [misc]simplify: iters left: 1 (87 enodes) 1550619456.058 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.058 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.058 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619456.058 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619456.058 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619456.058 * * [misc]simplify: Extracting #5: cost 18 inf + 872 1550619456.059 * * [misc]simplify: Extracting #6: cost 6 inf + 4766 1550619456.059 * * [misc]simplify: Extracting #7: cost 1 inf + 7496 1550619456.060 * * [misc]simplify: Extracting #8: cost 0 inf + 7538 1550619456.061 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619456.061 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2))))))))) 1550619456.061 * * * * [misc]progress: [ 190 / 327 ] simplifiying candidate # 1550619456.061 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619456.062 * * [misc]simplify: iters left: 6 (14 enodes) 1550619456.065 * * [misc]simplify: iters left: 5 (50 enodes) 1550619456.072 * * [misc]simplify: iters left: 4 (72 enodes) 1550619456.083 * * [misc]simplify: iters left: 3 (98 enodes) 1550619456.110 * * [misc]simplify: iters left: 2 (112 enodes) 1550619456.136 * * [misc]simplify: iters left: 1 (129 enodes) 1550619456.166 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.166 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619456.166 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550619456.166 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1550619456.166 * * [misc]simplify: Extracting #4: cost 32 inf + 692 1550619456.167 * * [misc]simplify: Extracting #5: cost 27 inf + 2430 1550619456.169 * * [misc]simplify: Extracting #6: cost 4 inf + 9462 1550619456.172 * * [misc]simplify: Extracting #7: cost 0 inf + 10744 1550619456.175 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1550619456.175 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619456.175 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619456.176 * * [misc]simplify: iters left: 6 (14 enodes) 1550619456.182 * * [misc]simplify: iters left: 5 (51 enodes) 1550619456.196 * * [misc]simplify: iters left: 4 (63 enodes) 1550619456.213 * * [misc]simplify: iters left: 3 (70 enodes) 1550619456.233 * * [misc]simplify: iters left: 2 (78 enodes) 1550619456.255 * * [misc]simplify: iters left: 1 (87 enodes) 1550619456.266 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.266 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.266 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619456.266 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619456.266 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619456.266 * * [misc]simplify: Extracting #5: cost 18 inf + 872 1550619456.267 * * [misc]simplify: Extracting #6: cost 6 inf + 4606 1550619456.267 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619456.268 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619456.269 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619456.269 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2))))))))) 1550619456.269 * * * * [misc]progress: [ 191 / 327 ] simplifiying candidate # 1550619456.269 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1550619456.269 * * [misc]simplify: iters left: 6 (10 enodes) 1550619456.272 * * [misc]simplify: iters left: 5 (35 enodes) 1550619456.278 * * [misc]simplify: iters left: 4 (50 enodes) 1550619456.290 * * [misc]simplify: iters left: 3 (61 enodes) 1550619456.305 * * [misc]simplify: iters left: 2 (68 enodes) 1550619456.315 * * [misc]simplify: iters left: 1 (81 enodes) 1550619456.328 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.328 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1550619456.328 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1550619456.328 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1550619456.328 * * [misc]simplify: Extracting #4: cost 16 inf + 410 1550619456.329 * * [misc]simplify: Extracting #5: cost 5 inf + 2389 1550619456.329 * * [misc]simplify: Extracting #6: cost 0 inf + 3438 1550619456.330 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1550619456.330 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619456.330 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619456.331 * * [misc]simplify: iters left: 6 (13 enodes) 1550619456.337 * * [misc]simplify: iters left: 5 (48 enodes) 1550619456.350 * * [misc]simplify: iters left: 4 (60 enodes) 1550619456.359 * * [misc]simplify: iters left: 3 (67 enodes) 1550619456.369 * * [misc]simplify: iters left: 2 (75 enodes) 1550619456.382 * * [misc]simplify: iters left: 1 (84 enodes) 1550619456.398 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.398 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.398 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619456.398 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619456.398 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619456.398 * * [misc]simplify: Extracting #5: cost 15 inf + 873 1550619456.399 * * [misc]simplify: Extracting #6: cost 2 inf + 4982 1550619456.399 * * [misc]simplify: Extracting #7: cost 0 inf + 6312 1550619456.400 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (cbrt (sqrt k)))) 1550619456.400 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (cbrt (sqrt k))))))) 1550619456.400 * * * * [misc]progress: [ 192 / 327 ] simplifiying candidate # 1550619456.400 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619456.400 * * [misc]simplify: iters left: 6 (10 enodes) 1550619456.403 * * [misc]simplify: iters left: 5 (34 enodes) 1550619456.408 * * [misc]simplify: iters left: 4 (39 enodes) 1550619456.414 * * [misc]simplify: iters left: 3 (43 enodes) 1550619456.420 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.420 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.420 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619456.420 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1550619456.420 * * [misc]simplify: Extracting #4: cost 12 inf + 168 1550619456.420 * * [misc]simplify: Extracting #5: cost 4 inf + 1142 1550619456.421 * * [misc]simplify: Extracting #6: cost 1 inf + 1628 1550619456.421 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 1550619456.421 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1550619456.421 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619456.422 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619456.422 * * [misc]simplify: iters left: 6 (12 enodes) 1550619456.426 * * [misc]simplify: iters left: 5 (44 enodes) 1550619456.441 * * [misc]simplify: iters left: 4 (55 enodes) 1550619456.455 * * [misc]simplify: iters left: 3 (59 enodes) 1550619456.470 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.470 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.470 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619456.470 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619456.470 * * [misc]simplify: Extracting #4: cost 17 inf + 290 1550619456.471 * * [misc]simplify: Extracting #5: cost 10 inf + 1005 1550619456.471 * * [misc]simplify: Extracting #6: cost 2 inf + 4382 1550619456.472 * * [misc]simplify: Extracting #7: cost 0 inf + 5259 1550619456.473 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) 1550619456.473 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2))))))) 1550619456.474 * * * * [misc]progress: [ 193 / 327 ] simplifiying candidate # 1550619456.474 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619456.474 * * [misc]simplify: iters left: 6 (10 enodes) 1550619456.478 * * [misc]simplify: iters left: 5 (34 enodes) 1550619456.487 * * [misc]simplify: iters left: 4 (39 enodes) 1550619456.497 * * [misc]simplify: iters left: 3 (43 enodes) 1550619456.508 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.508 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.508 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619456.508 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1550619456.509 * * [misc]simplify: Extracting #4: cost 12 inf + 168 1550619456.509 * * [misc]simplify: Extracting #5: cost 4 inf + 1142 1550619456.509 * * [misc]simplify: Extracting #6: cost 1 inf + 1628 1550619456.510 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 1550619456.511 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1550619456.511 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619456.511 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619456.512 * * [misc]simplify: iters left: 6 (12 enodes) 1550619456.518 * * [misc]simplify: iters left: 5 (44 enodes) 1550619456.530 * * [misc]simplify: iters left: 4 (55 enodes) 1550619456.544 * * [misc]simplify: iters left: 3 (59 enodes) 1550619456.554 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.554 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.554 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619456.554 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619456.554 * * [misc]simplify: Extracting #4: cost 17 inf + 290 1550619456.554 * * [misc]simplify: Extracting #5: cost 10 inf + 1005 1550619456.554 * * [misc]simplify: Extracting #6: cost 2 inf + 4382 1550619456.555 * * [misc]simplify: Extracting #7: cost 0 inf + 5259 1550619456.555 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) 1550619456.556 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2))))))) 1550619456.556 * * * * [misc]progress: [ 194 / 327 ] simplifiying candidate # 1550619456.556 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619456.556 * * [misc]simplify: iters left: 6 (14 enodes) 1550619456.559 * * [misc]simplify: iters left: 5 (50 enodes) 1550619456.567 * * [misc]simplify: iters left: 4 (71 enodes) 1550619456.580 * * [misc]simplify: iters left: 3 (90 enodes) 1550619456.604 * * [misc]simplify: iters left: 2 (106 enodes) 1550619456.633 * * [misc]simplify: iters left: 1 (121 enodes) 1550619456.661 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.661 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1550619456.661 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1550619456.661 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1550619456.661 * * [misc]simplify: Extracting #4: cost 31 inf + 208 1550619456.662 * * [misc]simplify: Extracting #5: cost 30 inf + 940 1550619456.663 * * [misc]simplify: Extracting #6: cost 19 inf + 2685 1550619456.665 * * [misc]simplify: Extracting #7: cost 4 inf + 9425 1550619456.668 * * [misc]simplify: Extracting #8: cost 0 inf + 11108 1550619456.670 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1550619456.671 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2))))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619456.671 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619456.671 * * [misc]simplify: iters left: 6 (14 enodes) 1550619456.678 * * [misc]simplify: iters left: 5 (51 enodes) 1550619456.691 * * [misc]simplify: iters left: 4 (63 enodes) 1550619456.711 * * [misc]simplify: iters left: 3 (70 enodes) 1550619456.730 * * [misc]simplify: iters left: 2 (78 enodes) 1550619456.743 * * [misc]simplify: iters left: 1 (87 enodes) 1550619456.754 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.754 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.754 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619456.754 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619456.754 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619456.754 * * [misc]simplify: Extracting #5: cost 18 inf + 792 1550619456.755 * * [misc]simplify: Extracting #6: cost 6 inf + 4526 1550619456.756 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619456.756 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619456.757 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619456.757 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2))))))))) 1550619456.757 * * * * [misc]progress: [ 195 / 327 ] simplifiying candidate # 1550619456.758 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619456.758 * * [misc]simplify: iters left: 6 (13 enodes) 1550619456.761 * * [misc]simplify: iters left: 5 (45 enodes) 1550619456.774 * * [misc]simplify: iters left: 4 (60 enodes) 1550619456.791 * * [misc]simplify: iters left: 3 (71 enodes) 1550619456.809 * * [misc]simplify: iters left: 2 (79 enodes) 1550619456.831 * * [misc]simplify: iters left: 1 (88 enodes) 1550619456.854 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.854 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.854 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619456.854 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550619456.854 * * [misc]simplify: Extracting #4: cost 21 inf + 86 1550619456.855 * * [misc]simplify: Extracting #5: cost 19 inf + 830 1550619456.856 * * [misc]simplify: Extracting #6: cost 6 inf + 4094 1550619456.857 * * [misc]simplify: Extracting #7: cost 1 inf + 5166 1550619456.858 * * [misc]simplify: Extracting #8: cost 0 inf + 5208 1550619456.860 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619456.860 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619456.860 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619456.861 * * [misc]simplify: iters left: 6 (14 enodes) 1550619456.867 * * [misc]simplify: iters left: 5 (51 enodes) 1550619456.882 * * [misc]simplify: iters left: 4 (63 enodes) 1550619456.899 * * [misc]simplify: iters left: 3 (70 enodes) 1550619456.918 * * [misc]simplify: iters left: 2 (78 enodes) 1550619456.938 * * [misc]simplify: iters left: 1 (87 enodes) 1550619456.959 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619456.959 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619456.959 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619456.959 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619456.960 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619456.960 * * [misc]simplify: Extracting #5: cost 18 inf + 792 1550619456.961 * * [misc]simplify: Extracting #6: cost 6 inf + 4366 1550619456.962 * * [misc]simplify: Extracting #7: cost 1 inf + 6856 1550619456.964 * * [misc]simplify: Extracting #8: cost 0 inf + 6898 1550619456.965 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619456.965 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2))))))))) 1550619456.966 * * * * [misc]progress: [ 196 / 327 ] simplifiying candidate # 1550619456.966 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1550619456.966 * * [misc]simplify: iters left: 6 (9 enodes) 1550619456.971 * * [misc]simplify: iters left: 5 (30 enodes) 1550619456.980 * * [misc]simplify: iters left: 4 (34 enodes) 1550619456.989 * * [misc]simplify: iters left: 3 (37 enodes) 1550619456.994 * * [misc]simplify: iters left: 2 (38 enodes) 1550619456.999 * * [misc]simplify: iters left: 1 (40 enodes) 1550619457.004 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.004 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619457.004 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550619457.004 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1550619457.004 * * [misc]simplify: Extracting #4: cost 8 inf + 86 1550619457.004 * * [misc]simplify: Extracting #5: cost 4 inf + 330 1550619457.005 * * [misc]simplify: Extracting #6: cost 0 inf + 978 1550619457.005 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1550619457.005 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619457.005 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619457.005 * * [misc]simplify: iters left: 6 (13 enodes) 1550619457.009 * * [misc]simplify: iters left: 5 (48 enodes) 1550619457.016 * * [misc]simplify: iters left: 4 (60 enodes) 1550619457.024 * * [misc]simplify: iters left: 3 (67 enodes) 1550619457.034 * * [misc]simplify: iters left: 2 (75 enodes) 1550619457.045 * * [misc]simplify: iters left: 1 (84 enodes) 1550619457.055 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.055 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619457.055 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619457.055 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619457.055 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619457.055 * * [misc]simplify: Extracting #5: cost 15 inf + 793 1550619457.056 * * [misc]simplify: Extracting #6: cost 2 inf + 4702 1550619457.057 * * [misc]simplify: Extracting #7: cost 0 inf + 5992 1550619457.057 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))) 1550619457.057 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k))))))) 1550619457.057 * * * * [misc]progress: [ 197 / 327 ] simplifiying candidate # 1550619457.058 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1550619457.058 * * [misc]simplify: iters left: 5 (8 enodes) 1550619457.060 * * [misc]simplify: iters left: 4 (30 enodes) 1550619457.065 * * [misc]simplify: iters left: 3 (33 enodes) 1550619457.071 * * [misc]simplify: iters left: 2 (40 enodes) 1550619457.077 * * [misc]simplify: iters left: 1 (41 enodes) 1550619457.082 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.082 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619457.082 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619457.082 * * [misc]simplify: Extracting #3: cost 7 inf + 86 1550619457.083 * * [misc]simplify: Extracting #4: cost 0 inf + 658 1550619457.083 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1550619457.083 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619457.083 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619457.083 * * [misc]simplify: iters left: 6 (11 enodes) 1550619457.086 * * [misc]simplify: iters left: 5 (41 enodes) 1550619457.092 * * [misc]simplify: iters left: 4 (52 enodes) 1550619457.101 * * [misc]simplify: iters left: 3 (56 enodes) 1550619457.114 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.114 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619457.114 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619457.114 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619457.114 * * [misc]simplify: Extracting #4: cost 16 inf + 170 1550619457.114 * * [misc]simplify: Extracting #5: cost 9 inf + 1638 1550619457.115 * * [misc]simplify: Extracting #6: cost 0 inf + 4857 1550619457.115 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))) 1550619457.115 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt n)) (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2))))))) 1550619457.115 * * * * [misc]progress: [ 198 / 327 ] simplifiying candidate # 1550619457.116 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1550619457.116 * * [misc]simplify: iters left: 5 (8 enodes) 1550619457.118 * * [misc]simplify: iters left: 4 (30 enodes) 1550619457.122 * * [misc]simplify: iters left: 3 (33 enodes) 1550619457.127 * * [misc]simplify: iters left: 2 (40 enodes) 1550619457.133 * * [misc]simplify: iters left: 1 (41 enodes) 1550619457.138 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.138 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619457.138 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619457.139 * * [misc]simplify: Extracting #3: cost 7 inf + 86 1550619457.139 * * [misc]simplify: Extracting #4: cost 0 inf + 658 1550619457.139 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1550619457.139 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619457.139 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619457.139 * * [misc]simplify: iters left: 6 (11 enodes) 1550619457.143 * * [misc]simplify: iters left: 5 (41 enodes) 1550619457.155 * * [misc]simplify: iters left: 4 (52 enodes) 1550619457.171 * * [misc]simplify: iters left: 3 (56 enodes) 1550619457.185 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.185 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619457.185 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619457.185 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619457.185 * * [misc]simplify: Extracting #4: cost 16 inf + 170 1550619457.186 * * [misc]simplify: Extracting #5: cost 9 inf + 1638 1550619457.187 * * [misc]simplify: Extracting #6: cost 0 inf + 4857 1550619457.187 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))) 1550619457.188 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt n)) (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2))))))) 1550619457.188 * * * * [misc]progress: [ 199 / 327 ] simplifiying candidate # 1550619457.188 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619457.188 * * [misc]simplify: iters left: 6 (13 enodes) 1550619457.195 * * [misc]simplify: iters left: 5 (49 enodes) 1550619457.206 * * [misc]simplify: iters left: 4 (68 enodes) 1550619457.217 * * [misc]simplify: iters left: 3 (89 enodes) 1550619457.229 * * [misc]simplify: iters left: 2 (102 enodes) 1550619457.244 * * [misc]simplify: iters left: 1 (132 enodes) 1550619457.275 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.275 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619457.275 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550619457.276 * * [misc]simplify: Extracting #3: cost 19 inf + 167 1550619457.276 * * [misc]simplify: Extracting #4: cost 21 inf + 250 1550619457.276 * * [misc]simplify: Extracting #5: cost 27 inf + 250 1550619457.276 * * [misc]simplify: Extracting #6: cost 26 inf + 252 1550619457.277 * * [misc]simplify: Extracting #7: cost 15 inf + 1625 1550619457.278 * * [misc]simplify: Extracting #8: cost 3 inf + 6128 1550619457.279 * * [misc]simplify: Extracting #9: cost 0 inf + 7530 1550619457.280 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619457.280 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619457.280 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619457.281 * * [misc]simplify: iters left: 6 (13 enodes) 1550619457.284 * * [misc]simplify: iters left: 5 (48 enodes) 1550619457.291 * * [misc]simplify: iters left: 4 (60 enodes) 1550619457.299 * * [misc]simplify: iters left: 3 (67 enodes) 1550619457.308 * * [misc]simplify: iters left: 2 (75 enodes) 1550619457.319 * * [misc]simplify: iters left: 1 (84 enodes) 1550619457.335 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.335 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619457.335 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619457.335 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1550619457.335 * * [misc]simplify: Extracting #4: cost 22 inf + 128 1550619457.336 * * [misc]simplify: Extracting #5: cost 17 inf + 923 1550619457.337 * * [misc]simplify: Extracting #6: cost 4 inf + 5322 1550619457.338 * * [misc]simplify: Extracting #7: cost 0 inf + 6816 1550619457.339 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619457.339 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k)))))) 1550619457.339 * * * * [misc]progress: [ 200 / 327 ] simplifiying candidate # 1550619457.340 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619457.340 * * [misc]simplify: iters left: 6 (12 enodes) 1550619457.345 * * [misc]simplify: iters left: 5 (44 enodes) 1550619457.357 * * [misc]simplify: iters left: 4 (57 enodes) 1550619457.373 * * [misc]simplify: iters left: 3 (70 enodes) 1550619457.391 * * [misc]simplify: iters left: 2 (75 enodes) 1550619457.405 * * [misc]simplify: iters left: 1 (84 enodes) 1550619457.414 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.414 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619457.414 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619457.414 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1550619457.414 * * [misc]simplify: Extracting #4: cost 13 inf + 250 1550619457.415 * * [misc]simplify: Extracting #5: cost 19 inf + 250 1550619457.415 * * [misc]simplify: Extracting #6: cost 18 inf + 252 1550619457.415 * * [misc]simplify: Extracting #7: cost 10 inf + 878 1550619457.415 * * [misc]simplify: Extracting #8: cost 2 inf + 2830 1550619457.416 * * [misc]simplify: Extracting #9: cost 0 inf + 3578 1550619457.416 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619457.416 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619457.417 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619457.417 * * [misc]simplify: iters left: 6 (13 enodes) 1550619457.420 * * [misc]simplify: iters left: 5 (48 enodes) 1550619457.427 * * [misc]simplify: iters left: 4 (60 enodes) 1550619457.436 * * [misc]simplify: iters left: 3 (67 enodes) 1550619457.445 * * [misc]simplify: iters left: 2 (75 enodes) 1550619457.466 * * [misc]simplify: iters left: 1 (84 enodes) 1550619457.488 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.489 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619457.489 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619457.489 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1550619457.489 * * [misc]simplify: Extracting #4: cost 22 inf + 128 1550619457.489 * * [misc]simplify: Extracting #5: cost 17 inf + 923 1550619457.490 * * [misc]simplify: Extracting #6: cost 4 inf + 5082 1550619457.492 * * [misc]simplify: Extracting #7: cost 0 inf + 6496 1550619457.493 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619457.493 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k)))))) 1550619457.493 * * * * [misc]progress: [ 201 / 327 ] simplifiying candidate # 1550619457.494 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1550619457.494 * * [misc]simplify: iters left: 4 (6 enodes) 1550619457.497 * * [misc]simplify: iters left: 3 (19 enodes) 1550619457.503 * * [misc]simplify: iters left: 2 (21 enodes) 1550619457.508 * * [misc]simplify: iters left: 1 (23 enodes) 1550619457.514 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.514 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619457.514 * * [misc]simplify: Extracting #2: cost 2 inf + 3 1550619457.514 * * [misc]simplify: Extracting #3: cost 0 inf + 85 1550619457.514 * [exit]simplify: Simplified to (sqrt PI) 1550619457.514 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt PI) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619457.515 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619457.515 * * [misc]simplify: iters left: 6 (12 enodes) 1550619457.521 * * [misc]simplify: iters left: 5 (45 enodes) 1550619457.534 * * [misc]simplify: iters left: 4 (57 enodes) 1550619457.549 * * [misc]simplify: iters left: 3 (64 enodes) 1550619457.565 * * [misc]simplify: iters left: 2 (72 enodes) 1550619457.585 * * [misc]simplify: iters left: 1 (81 enodes) 1550619457.595 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.595 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619457.595 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619457.595 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619457.595 * * [misc]simplify: Extracting #4: cost 19 inf + 465 1550619457.596 * * [misc]simplify: Extracting #5: cost 10 inf + 2137 1550619457.596 * * [misc]simplify: Extracting #6: cost 0 inf + 5590 1550619457.597 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619457.597 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt PI) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k)))))) 1550619457.597 * * * * [misc]progress: [ 202 / 327 ] simplifiying candidate # 1550619457.597 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1550619457.597 * * [misc]simplify: iters left: 3 (5 enodes) 1550619457.599 * * [misc]simplify: iters left: 2 (16 enodes) 1550619457.602 * * [misc]simplify: iters left: 1 (20 enodes) 1550619457.605 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.605 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619457.605 * * [misc]simplify: Extracting #2: cost 2 inf + 3 1550619457.605 * * [misc]simplify: Extracting #3: cost 0 inf + 85 1550619457.605 * [exit]simplify: Simplified to (sqrt PI) 1550619457.605 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt PI) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619457.605 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619457.605 * * [misc]simplify: iters left: 6 (12 enodes) 1550619457.610 * * [misc]simplify: iters left: 5 (45 enodes) 1550619457.617 * * [misc]simplify: iters left: 4 (57 enodes) 1550619457.629 * * [misc]simplify: iters left: 3 (64 enodes) 1550619457.646 * * [misc]simplify: iters left: 2 (72 enodes) 1550619457.666 * * [misc]simplify: iters left: 1 (81 enodes) 1550619457.685 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.685 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619457.685 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619457.686 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619457.686 * * [misc]simplify: Extracting #4: cost 19 inf + 465 1550619457.686 * * [misc]simplify: Extracting #5: cost 10 inf + 2137 1550619457.687 * * [misc]simplify: Extracting #6: cost 0 inf + 5590 1550619457.689 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619457.689 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt PI) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k)))))) 1550619457.689 * * * * [misc]progress: [ 203 / 327 ] simplifiying candidate # 1550619457.689 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1550619457.689 * * [misc]simplify: iters left: 3 (6 enodes) 1550619457.692 * * [misc]simplify: iters left: 2 (19 enodes) 1550619457.698 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.698 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619457.698 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619457.698 * * [misc]simplify: Extracting #3: cost 4 inf + 85 1550619457.699 * * [misc]simplify: Extracting #4: cost 0 inf + 411 1550619457.699 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1550619457.699 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (* 1/2 k))) (/ 1 (pow n (- 1/2 (* 1/2 k)))))))) 1550619457.699 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619457.700 * * [misc]simplify: iters left: 6 (12 enodes) 1550619457.706 * * [misc]simplify: iters left: 5 (47 enodes) 1550619457.720 * * [misc]simplify: iters left: 4 (57 enodes) 1550619457.736 * * [misc]simplify: iters left: 3 (66 enodes) 1550619457.756 * * [misc]simplify: iters left: 2 (71 enodes) 1550619457.768 * * [misc]simplify: iters left: 1 (80 enodes) 1550619457.777 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.777 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619457.777 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1550619457.777 * * [misc]simplify: Extracting #3: cost 20 inf + 3 1550619457.777 * * [misc]simplify: Extracting #4: cost 17 inf + 131 1550619457.778 * * [misc]simplify: Extracting #5: cost 8 inf + 1302 1550619457.778 * * [misc]simplify: Extracting #6: cost 1 inf + 3437 1550619457.779 * * [misc]simplify: Extracting #7: cost 0 inf + 4022 1550619457.779 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (pow PI (* k -1/2))) 1550619457.779 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt k)) (* (pow n (- 1/2 (* k 1/2))) (pow PI (* k -1/2)))))) 1550619457.779 * * * * [misc]progress: [ 204 / 327 ] simplifiying candidate # 1550619457.779 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow n 1/2))) 1550619457.779 * * [misc]simplify: iters left: 5 (9 enodes) 1550619457.782 * * [misc]simplify: iters left: 4 (31 enodes) 1550619457.786 * * [misc]simplify: iters left: 3 (36 enodes) 1550619457.793 * * [misc]simplify: iters left: 2 (40 enodes) 1550619457.803 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.803 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619457.803 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619457.804 * * [misc]simplify: Extracting #3: cost 14 inf + 4 1550619457.804 * * [misc]simplify: Extracting #4: cost 6 inf + 575 1550619457.804 * * [misc]simplify: Extracting #5: cost 0 inf + 1388 1550619457.805 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt n)) 1550619457.805 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (/ (pow PI (- (* 1/2 k))) (pow n (* 1/2 k)))))) 1550619457.805 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (pow n (* 1/2 k))) 1550619457.806 * * [misc]simplify: iters left: 6 (9 enodes) 1550619457.810 * * [misc]simplify: iters left: 5 (33 enodes) 1550619457.820 * * [misc]simplify: iters left: 4 (39 enodes) 1550619457.830 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.830 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619457.830 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619457.830 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619457.830 * * [misc]simplify: Extracting #4: cost 9 inf + 341 1550619457.830 * * [misc]simplify: Extracting #5: cost 4 inf + 972 1550619457.831 * * [misc]simplify: Extracting #6: cost 0 inf + 2357 1550619457.831 * [exit]simplify: Simplified to (/ (pow PI (* -1/2 k)) (pow n (* k 1/2))) 1550619457.831 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (/ (pow PI (* -1/2 k)) (pow n (* k 1/2)))))) 1550619457.832 * * * * [misc]progress: [ 205 / 327 ] simplifiying candidate # 1550619457.832 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619457.832 * * [misc]simplify: iters left: 6 (13 enodes) 1550619457.838 * * [misc]simplify: iters left: 5 (45 enodes) 1550619457.851 * * [misc]simplify: iters left: 4 (57 enodes) 1550619457.866 * * [misc]simplify: iters left: 3 (64 enodes) 1550619457.886 * * [misc]simplify: iters left: 2 (72 enodes) 1550619457.898 * * [misc]simplify: iters left: 1 (81 enodes) 1550619457.908 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.909 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619457.909 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550619457.909 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619457.909 * * [misc]simplify: Extracting #4: cost 17 inf + 84 1550619457.909 * * [misc]simplify: Extracting #5: cost 19 inf + 86 1550619457.909 * * [misc]simplify: Extracting #6: cost 17 inf + 1333 1550619457.909 * * [misc]simplify: Extracting #7: cost 3 inf + 5572 1550619457.910 * * [misc]simplify: Extracting #8: cost 0 inf + 6108 1550619457.911 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619457.911 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) (/ (pow PI (- (* 1/2 k))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619457.911 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619457.911 * * [misc]simplify: iters left: 6 (13 enodes) 1550619457.917 * * [misc]simplify: iters left: 5 (46 enodes) 1550619457.930 * * [misc]simplify: iters left: 4 (53 enodes) 1550619457.939 * * [misc]simplify: iters left: 3 (56 enodes) 1550619457.948 * * [misc]simplify: iters left: 2 (64 enodes) 1550619457.959 * * [misc]simplify: iters left: 1 (73 enodes) 1550619457.976 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619457.976 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619457.976 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619457.976 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619457.976 * * [misc]simplify: Extracting #4: cost 17 inf + 128 1550619457.976 * * [misc]simplify: Extracting #5: cost 10 inf + 965 1550619457.977 * * [misc]simplify: Extracting #6: cost 4 inf + 4282 1550619457.978 * * [misc]simplify: Extracting #7: cost 0 inf + 4820 1550619457.979 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619457.979 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619457.980 * * * * [misc]progress: [ 206 / 327 ] simplifiying candidate # 1550619457.980 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619457.980 * * [misc]simplify: iters left: 6 (12 enodes) 1550619457.985 * * [misc]simplify: iters left: 5 (40 enodes) 1550619457.992 * * [misc]simplify: iters left: 4 (50 enodes) 1550619458.000 * * [misc]simplify: iters left: 3 (57 enodes) 1550619458.008 * * [misc]simplify: iters left: 2 (65 enodes) 1550619458.018 * * [misc]simplify: iters left: 1 (74 enodes) 1550619458.032 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.032 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619458.033 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619458.033 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550619458.033 * * [misc]simplify: Extracting #4: cost 14 inf + 43 1550619458.033 * * [misc]simplify: Extracting #5: cost 15 inf + 86 1550619458.033 * * [misc]simplify: Extracting #6: cost 16 inf + 374 1550619458.034 * * [misc]simplify: Extracting #7: cost 8 inf + 1542 1550619458.034 * * [misc]simplify: Extracting #8: cost 0 inf + 3814 1550619458.035 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619458.035 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619458.036 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619458.036 * * [misc]simplify: iters left: 6 (13 enodes) 1550619458.042 * * [misc]simplify: iters left: 5 (46 enodes) 1550619458.055 * * [misc]simplify: iters left: 4 (53 enodes) 1550619458.069 * * [misc]simplify: iters left: 3 (56 enodes) 1550619458.083 * * [misc]simplify: iters left: 2 (64 enodes) 1550619458.101 * * [misc]simplify: iters left: 1 (73 enodes) 1550619458.119 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.119 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619458.119 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619458.119 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619458.120 * * [misc]simplify: Extracting #4: cost 17 inf + 128 1550619458.120 * * [misc]simplify: Extracting #5: cost 10 inf + 965 1550619458.121 * * [misc]simplify: Extracting #6: cost 4 inf + 4162 1550619458.122 * * [misc]simplify: Extracting #7: cost 0 inf + 4660 1550619458.122 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619458.123 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619458.123 * * * * [misc]progress: [ 207 / 327 ] simplifiying candidate # 1550619458.123 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619458.123 * * [misc]simplify: iters left: 6 (11 enodes) 1550619458.128 * * [misc]simplify: iters left: 5 (39 enodes) 1550619458.138 * * [misc]simplify: iters left: 4 (51 enodes) 1550619458.152 * * [misc]simplify: iters left: 3 (70 enodes) 1550619458.166 * * [misc]simplify: iters left: 2 (76 enodes) 1550619458.175 * * [misc]simplify: iters left: 1 (84 enodes) 1550619458.186 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.186 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619458.186 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550619458.186 * * [misc]simplify: Extracting #3: cost 31 inf + 44 1550619458.186 * * [misc]simplify: Extracting #4: cost 23 inf + 654 1550619458.187 * * [misc]simplify: Extracting #5: cost 3 inf + 4894 1550619458.188 * * [misc]simplify: Extracting #6: cost 0 inf + 5580 1550619458.189 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619458.189 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619458.189 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619458.189 * * [misc]simplify: iters left: 6 (12 enodes) 1550619458.192 * * [misc]simplify: iters left: 5 (44 enodes) 1550619458.201 * * [misc]simplify: iters left: 4 (55 enodes) 1550619458.216 * * [misc]simplify: iters left: 3 (59 enodes) 1550619458.230 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.230 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619458.231 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619458.231 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619458.231 * * [misc]simplify: Extracting #4: cost 17 inf + 370 1550619458.231 * * [misc]simplify: Extracting #5: cost 10 inf + 1085 1550619458.231 * * [misc]simplify: Extracting #6: cost 2 inf + 4662 1550619458.232 * * [misc]simplify: Extracting #7: cost 0 inf + 5579 1550619458.232 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))) 1550619458.232 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2))))))) 1550619458.232 * * * * [misc]progress: [ 208 / 327 ] simplifiying candidate # 1550619458.233 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619458.233 * * [misc]simplify: iters left: 6 (11 enodes) 1550619458.235 * * [misc]simplify: iters left: 5 (39 enodes) 1550619458.241 * * [misc]simplify: iters left: 4 (51 enodes) 1550619458.248 * * [misc]simplify: iters left: 3 (70 enodes) 1550619458.258 * * [misc]simplify: iters left: 2 (76 enodes) 1550619458.271 * * [misc]simplify: iters left: 1 (84 enodes) 1550619458.282 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.282 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619458.282 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550619458.282 * * [misc]simplify: Extracting #3: cost 31 inf + 44 1550619458.282 * * [misc]simplify: Extracting #4: cost 23 inf + 654 1550619458.283 * * [misc]simplify: Extracting #5: cost 3 inf + 4894 1550619458.284 * * [misc]simplify: Extracting #6: cost 0 inf + 5580 1550619458.284 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619458.285 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619458.285 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619458.285 * * [misc]simplify: iters left: 6 (12 enodes) 1550619458.288 * * [misc]simplify: iters left: 5 (44 enodes) 1550619458.294 * * [misc]simplify: iters left: 4 (55 enodes) 1550619458.302 * * [misc]simplify: iters left: 3 (59 enodes) 1550619458.311 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.311 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619458.311 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619458.311 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619458.311 * * [misc]simplify: Extracting #4: cost 17 inf + 370 1550619458.311 * * [misc]simplify: Extracting #5: cost 10 inf + 1085 1550619458.311 * * [misc]simplify: Extracting #6: cost 2 inf + 4662 1550619458.312 * * [misc]simplify: Extracting #7: cost 0 inf + 5579 1550619458.312 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2)))) 1550619458.312 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (pow n (* k -1/2))))))) 1550619458.313 * * * * [misc]progress: [ 209 / 327 ] simplifiying candidate # 1550619458.313 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619458.313 * * [misc]simplify: iters left: 6 (15 enodes) 1550619458.316 * * [misc]simplify: iters left: 5 (57 enodes) 1550619458.326 * * [misc]simplify: iters left: 4 (96 enodes) 1550619458.354 * * [misc]simplify: iters left: 3 (140 enodes) 1550619458.388 * * [misc]simplify: iters left: 2 (178 enodes) 1550619458.424 * * [misc]simplify: iters left: 1 (219 enodes) 1550619458.487 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.487 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1550619458.487 * * [misc]simplify: Extracting #2: cost 56 inf + 0 1550619458.488 * * [misc]simplify: Extracting #3: cost 59 inf + 2 1550619458.488 * * [misc]simplify: Extracting #4: cost 50 inf + 1418 1550619458.489 * * [misc]simplify: Extracting #5: cost 48 inf + 2714 1550619458.491 * * [misc]simplify: Extracting #6: cost 17 inf + 16008 1550619458.495 * * [misc]simplify: Extracting #7: cost 0 inf + 25145 1550619458.499 * * [misc]simplify: Extracting #8: cost 0 inf + 25105 1550619458.503 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) (sqrt PI)) 1550619458.503 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (* (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) (sqrt PI)) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619458.504 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619458.504 * * [misc]simplify: iters left: 6 (14 enodes) 1550619458.507 * * [misc]simplify: iters left: 5 (51 enodes) 1550619458.515 * * [misc]simplify: iters left: 4 (63 enodes) 1550619458.532 * * [misc]simplify: iters left: 3 (70 enodes) 1550619458.550 * * [misc]simplify: iters left: 2 (78 enodes) 1550619458.571 * * [misc]simplify: iters left: 1 (87 enodes) 1550619458.583 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.583 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619458.583 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619458.583 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619458.583 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619458.583 * * [misc]simplify: Extracting #5: cost 18 inf + 872 1550619458.584 * * [misc]simplify: Extracting #6: cost 6 inf + 4766 1550619458.584 * * [misc]simplify: Extracting #7: cost 1 inf + 7496 1550619458.585 * * [misc]simplify: Extracting #8: cost 0 inf + 7538 1550619458.586 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619458.586 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2))))))))) 1550619458.586 * * * * [misc]progress: [ 210 / 327 ] simplifiying candidate # 1550619458.586 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619458.587 * * [misc]simplify: iters left: 6 (14 enodes) 1550619458.590 * * [misc]simplify: iters left: 5 (50 enodes) 1550619458.597 * * [misc]simplify: iters left: 4 (72 enodes) 1550619458.615 * * [misc]simplify: iters left: 3 (98 enodes) 1550619458.644 * * [misc]simplify: iters left: 2 (112 enodes) 1550619458.674 * * [misc]simplify: iters left: 1 (129 enodes) 1550619458.704 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.704 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619458.704 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550619458.704 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1550619458.705 * * [misc]simplify: Extracting #4: cost 32 inf + 692 1550619458.705 * * [misc]simplify: Extracting #5: cost 27 inf + 2430 1550619458.707 * * [misc]simplify: Extracting #6: cost 4 inf + 9462 1550619458.710 * * [misc]simplify: Extracting #7: cost 0 inf + 10744 1550619458.713 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1550619458.713 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619458.714 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619458.714 * * [misc]simplify: iters left: 6 (14 enodes) 1550619458.720 * * [misc]simplify: iters left: 5 (51 enodes) 1550619458.734 * * [misc]simplify: iters left: 4 (63 enodes) 1550619458.751 * * [misc]simplify: iters left: 3 (70 enodes) 1550619458.769 * * [misc]simplify: iters left: 2 (78 enodes) 1550619458.792 * * [misc]simplify: iters left: 1 (87 enodes) 1550619458.812 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.812 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619458.812 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619458.813 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619458.813 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619458.813 * * [misc]simplify: Extracting #5: cost 18 inf + 872 1550619458.814 * * [misc]simplify: Extracting #6: cost 6 inf + 4606 1550619458.815 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619458.817 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619458.818 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619458.818 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2))))))))) 1550619458.819 * * * * [misc]progress: [ 211 / 327 ] simplifiying candidate # 1550619458.819 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1550619458.819 * * [misc]simplify: iters left: 6 (10 enodes) 1550619458.824 * * [misc]simplify: iters left: 5 (35 enodes) 1550619458.835 * * [misc]simplify: iters left: 4 (50 enodes) 1550619458.849 * * [misc]simplify: iters left: 3 (61 enodes) 1550619458.864 * * [misc]simplify: iters left: 2 (68 enodes) 1550619458.880 * * [misc]simplify: iters left: 1 (81 enodes) 1550619458.904 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.904 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1550619458.904 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1550619458.904 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1550619458.905 * * [misc]simplify: Extracting #4: cost 16 inf + 410 1550619458.906 * * [misc]simplify: Extracting #5: cost 5 inf + 2389 1550619458.907 * * [misc]simplify: Extracting #6: cost 0 inf + 3438 1550619458.908 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1550619458.908 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619458.909 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619458.909 * * [misc]simplify: iters left: 6 (13 enodes) 1550619458.915 * * [misc]simplify: iters left: 5 (48 enodes) 1550619458.930 * * [misc]simplify: iters left: 4 (60 enodes) 1550619458.949 * * [misc]simplify: iters left: 3 (67 enodes) 1550619458.967 * * [misc]simplify: iters left: 2 (75 enodes) 1550619458.983 * * [misc]simplify: iters left: 1 (84 enodes) 1550619458.993 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619458.993 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619458.993 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619458.993 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619458.993 * * [misc]simplify: Extracting #4: cost 22 inf + 370 1550619458.994 * * [misc]simplify: Extracting #5: cost 15 inf + 873 1550619458.994 * * [misc]simplify: Extracting #6: cost 2 inf + 4982 1550619458.995 * * [misc]simplify: Extracting #7: cost 0 inf + 6312 1550619458.995 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (cbrt (sqrt k)))) 1550619458.995 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (cbrt (sqrt k))))))) 1550619458.996 * * * * [misc]progress: [ 212 / 327 ] simplifiying candidate # 1550619458.996 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619458.996 * * [misc]simplify: iters left: 6 (10 enodes) 1550619458.998 * * [misc]simplify: iters left: 5 (34 enodes) 1550619459.003 * * [misc]simplify: iters left: 4 (39 enodes) 1550619459.013 * * [misc]simplify: iters left: 3 (43 enodes) 1550619459.024 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.024 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.024 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.024 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1550619459.024 * * [misc]simplify: Extracting #4: cost 12 inf + 168 1550619459.025 * * [misc]simplify: Extracting #5: cost 4 inf + 1142 1550619459.025 * * [misc]simplify: Extracting #6: cost 1 inf + 1628 1550619459.026 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 1550619459.027 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1550619459.027 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619459.027 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619459.027 * * [misc]simplify: iters left: 6 (12 enodes) 1550619459.033 * * [misc]simplify: iters left: 5 (44 enodes) 1550619459.043 * * [misc]simplify: iters left: 4 (55 enodes) 1550619459.052 * * [misc]simplify: iters left: 3 (59 enodes) 1550619459.060 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.060 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.060 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.060 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619459.060 * * [misc]simplify: Extracting #4: cost 17 inf + 290 1550619459.060 * * [misc]simplify: Extracting #5: cost 10 inf + 1005 1550619459.061 * * [misc]simplify: Extracting #6: cost 2 inf + 4382 1550619459.062 * * [misc]simplify: Extracting #7: cost 0 inf + 5259 1550619459.063 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) 1550619459.063 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2))))))) 1550619459.063 * * * * [misc]progress: [ 213 / 327 ] simplifiying candidate # 1550619459.063 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619459.063 * * [misc]simplify: iters left: 6 (10 enodes) 1550619459.068 * * [misc]simplify: iters left: 5 (34 enodes) 1550619459.077 * * [misc]simplify: iters left: 4 (39 enodes) 1550619459.088 * * [misc]simplify: iters left: 3 (43 enodes) 1550619459.099 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.099 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.099 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.099 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1550619459.100 * * [misc]simplify: Extracting #4: cost 12 inf + 168 1550619459.100 * * [misc]simplify: Extracting #5: cost 4 inf + 1142 1550619459.101 * * [misc]simplify: Extracting #6: cost 1 inf + 1628 1550619459.101 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 1550619459.102 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1550619459.102 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619459.102 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619459.102 * * [misc]simplify: iters left: 6 (12 enodes) 1550619459.106 * * [misc]simplify: iters left: 5 (44 enodes) 1550619459.113 * * [misc]simplify: iters left: 4 (55 enodes) 1550619459.120 * * [misc]simplify: iters left: 3 (59 enodes) 1550619459.128 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.128 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.128 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.128 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619459.128 * * [misc]simplify: Extracting #4: cost 17 inf + 290 1550619459.128 * * [misc]simplify: Extracting #5: cost 10 inf + 1005 1550619459.129 * * [misc]simplify: Extracting #6: cost 2 inf + 4382 1550619459.129 * * [misc]simplify: Extracting #7: cost 0 inf + 5259 1550619459.130 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) 1550619459.130 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (pow n (* k -1/2))))))) 1550619459.130 * * * * [misc]progress: [ 214 / 327 ] simplifiying candidate # 1550619459.130 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619459.130 * * [misc]simplify: iters left: 6 (14 enodes) 1550619459.134 * * [misc]simplify: iters left: 5 (50 enodes) 1550619459.149 * * [misc]simplify: iters left: 4 (71 enodes) 1550619459.171 * * [misc]simplify: iters left: 3 (90 enodes) 1550619459.186 * * [misc]simplify: iters left: 2 (106 enodes) 1550619459.200 * * [misc]simplify: iters left: 1 (121 enodes) 1550619459.225 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.225 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1550619459.225 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1550619459.225 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1550619459.225 * * [misc]simplify: Extracting #4: cost 31 inf + 208 1550619459.226 * * [misc]simplify: Extracting #5: cost 30 inf + 940 1550619459.227 * * [misc]simplify: Extracting #6: cost 19 inf + 2685 1550619459.229 * * [misc]simplify: Extracting #7: cost 4 inf + 9425 1550619459.232 * * [misc]simplify: Extracting #8: cost 0 inf + 11108 1550619459.235 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1550619459.235 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2))))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619459.236 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619459.236 * * [misc]simplify: iters left: 6 (14 enodes) 1550619459.243 * * [misc]simplify: iters left: 5 (51 enodes) 1550619459.258 * * [misc]simplify: iters left: 4 (63 enodes) 1550619459.275 * * [misc]simplify: iters left: 3 (70 enodes) 1550619459.294 * * [misc]simplify: iters left: 2 (78 enodes) 1550619459.305 * * [misc]simplify: iters left: 1 (87 enodes) 1550619459.316 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.316 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.316 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.316 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619459.316 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619459.316 * * [misc]simplify: Extracting #5: cost 18 inf + 792 1550619459.317 * * [misc]simplify: Extracting #6: cost 6 inf + 4526 1550619459.318 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619459.320 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619459.321 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619459.322 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* k 1/2))))))))) 1550619459.322 * * * * [misc]progress: [ 215 / 327 ] simplifiying candidate # 1550619459.322 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619459.322 * * [misc]simplify: iters left: 6 (13 enodes) 1550619459.328 * * [misc]simplify: iters left: 5 (45 enodes) 1550619459.341 * * [misc]simplify: iters left: 4 (60 enodes) 1550619459.357 * * [misc]simplify: iters left: 3 (71 enodes) 1550619459.376 * * [misc]simplify: iters left: 2 (79 enodes) 1550619459.398 * * [misc]simplify: iters left: 1 (88 enodes) 1550619459.420 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.420 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.420 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.420 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550619459.420 * * [misc]simplify: Extracting #4: cost 21 inf + 86 1550619459.420 * * [misc]simplify: Extracting #5: cost 19 inf + 830 1550619459.423 * * [misc]simplify: Extracting #6: cost 6 inf + 4094 1550619459.425 * * [misc]simplify: Extracting #7: cost 1 inf + 5166 1550619459.426 * * [misc]simplify: Extracting #8: cost 0 inf + 5208 1550619459.428 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619459.428 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619459.428 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619459.428 * * [misc]simplify: iters left: 6 (14 enodes) 1550619459.435 * * [misc]simplify: iters left: 5 (51 enodes) 1550619459.450 * * [misc]simplify: iters left: 4 (63 enodes) 1550619459.462 * * [misc]simplify: iters left: 3 (70 enodes) 1550619459.472 * * [misc]simplify: iters left: 2 (78 enodes) 1550619459.484 * * [misc]simplify: iters left: 1 (87 enodes) 1550619459.499 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.500 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.500 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.500 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619459.500 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619459.500 * * [misc]simplify: Extracting #5: cost 18 inf + 792 1550619459.501 * * [misc]simplify: Extracting #6: cost 6 inf + 4366 1550619459.503 * * [misc]simplify: Extracting #7: cost 1 inf + 6856 1550619459.504 * * [misc]simplify: Extracting #8: cost 0 inf + 6898 1550619459.506 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619459.506 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (/ (pow PI (* k -1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* k 1/2))))))))) 1550619459.506 * * * * [misc]progress: [ 216 / 327 ] simplifiying candidate # 1550619459.506 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1550619459.507 * * [misc]simplify: iters left: 6 (9 enodes) 1550619459.512 * * [misc]simplify: iters left: 5 (30 enodes) 1550619459.521 * * [misc]simplify: iters left: 4 (34 enodes) 1550619459.528 * * [misc]simplify: iters left: 3 (37 enodes) 1550619459.533 * * [misc]simplify: iters left: 2 (38 enodes) 1550619459.539 * * [misc]simplify: iters left: 1 (40 enodes) 1550619459.545 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.545 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619459.545 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550619459.545 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1550619459.545 * * [misc]simplify: Extracting #4: cost 8 inf + 86 1550619459.545 * * [misc]simplify: Extracting #5: cost 4 inf + 330 1550619459.545 * * [misc]simplify: Extracting #6: cost 0 inf + 978 1550619459.546 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1550619459.546 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619459.546 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619459.546 * * [misc]simplify: iters left: 6 (13 enodes) 1550619459.549 * * [misc]simplify: iters left: 5 (48 enodes) 1550619459.556 * * [misc]simplify: iters left: 4 (60 enodes) 1550619459.569 * * [misc]simplify: iters left: 3 (67 enodes) 1550619459.578 * * [misc]simplify: iters left: 2 (75 enodes) 1550619459.590 * * [misc]simplify: iters left: 1 (84 enodes) 1550619459.608 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.608 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.608 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619459.608 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619459.608 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1550619459.609 * * [misc]simplify: Extracting #5: cost 15 inf + 793 1550619459.610 * * [misc]simplify: Extracting #6: cost 2 inf + 4702 1550619459.611 * * [misc]simplify: Extracting #7: cost 0 inf + 5992 1550619459.613 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))) 1550619459.613 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k))))))) 1550619459.613 * * * * [misc]progress: [ 217 / 327 ] simplifiying candidate # 1550619459.613 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1550619459.613 * * [misc]simplify: iters left: 5 (8 enodes) 1550619459.618 * * [misc]simplify: iters left: 4 (30 enodes) 1550619459.627 * * [misc]simplify: iters left: 3 (33 enodes) 1550619459.636 * * [misc]simplify: iters left: 2 (40 enodes) 1550619459.647 * * [misc]simplify: iters left: 1 (41 enodes) 1550619459.659 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.659 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619459.659 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619459.659 * * [misc]simplify: Extracting #3: cost 7 inf + 86 1550619459.659 * * [misc]simplify: Extracting #4: cost 0 inf + 658 1550619459.660 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1550619459.661 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619459.661 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619459.662 * * [misc]simplify: iters left: 6 (11 enodes) 1550619459.667 * * [misc]simplify: iters left: 5 (41 enodes) 1550619459.678 * * [misc]simplify: iters left: 4 (52 enodes) 1550619459.691 * * [misc]simplify: iters left: 3 (56 enodes) 1550619459.705 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.705 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.705 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.705 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619459.705 * * [misc]simplify: Extracting #4: cost 16 inf + 170 1550619459.706 * * [misc]simplify: Extracting #5: cost 9 inf + 1638 1550619459.706 * * [misc]simplify: Extracting #6: cost 0 inf + 4857 1550619459.707 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))) 1550619459.707 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt n)) (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2))))))) 1550619459.707 * * * * [misc]progress: [ 218 / 327 ] simplifiying candidate # 1550619459.708 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1550619459.708 * * [misc]simplify: iters left: 5 (8 enodes) 1550619459.712 * * [misc]simplify: iters left: 4 (30 enodes) 1550619459.720 * * [misc]simplify: iters left: 3 (33 enodes) 1550619459.730 * * [misc]simplify: iters left: 2 (40 enodes) 1550619459.740 * * [misc]simplify: iters left: 1 (41 enodes) 1550619459.751 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.751 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619459.751 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619459.751 * * [misc]simplify: Extracting #3: cost 7 inf + 86 1550619459.752 * * [misc]simplify: Extracting #4: cost 0 inf + 658 1550619459.752 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1550619459.752 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619459.752 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619459.753 * * [misc]simplify: iters left: 6 (11 enodes) 1550619459.758 * * [misc]simplify: iters left: 5 (41 enodes) 1550619459.770 * * [misc]simplify: iters left: 4 (52 enodes) 1550619459.780 * * [misc]simplify: iters left: 3 (56 enodes) 1550619459.788 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.788 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.788 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.788 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619459.788 * * [misc]simplify: Extracting #4: cost 16 inf + 170 1550619459.788 * * [misc]simplify: Extracting #5: cost 9 inf + 1638 1550619459.788 * * [misc]simplify: Extracting #6: cost 0 inf + 4857 1550619459.789 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2)))) 1550619459.789 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt n)) (/ (pow PI (* k -1/2)) (/ (sqrt k) (pow n (* k -1/2))))))) 1550619459.789 * * * * [misc]progress: [ 219 / 327 ] simplifiying candidate # 1550619459.789 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619459.789 * * [misc]simplify: iters left: 6 (13 enodes) 1550619459.794 * * [misc]simplify: iters left: 5 (49 enodes) 1550619459.802 * * [misc]simplify: iters left: 4 (68 enodes) 1550619459.813 * * [misc]simplify: iters left: 3 (89 enodes) 1550619459.825 * * [misc]simplify: iters left: 2 (102 enodes) 1550619459.840 * * [misc]simplify: iters left: 1 (132 enodes) 1550619459.862 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.863 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619459.863 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550619459.863 * * [misc]simplify: Extracting #3: cost 19 inf + 167 1550619459.863 * * [misc]simplify: Extracting #4: cost 21 inf + 250 1550619459.863 * * [misc]simplify: Extracting #5: cost 27 inf + 250 1550619459.864 * * [misc]simplify: Extracting #6: cost 26 inf + 252 1550619459.864 * * [misc]simplify: Extracting #7: cost 15 inf + 1625 1550619459.866 * * [misc]simplify: Extracting #8: cost 3 inf + 6128 1550619459.868 * * [misc]simplify: Extracting #9: cost 0 inf + 7530 1550619459.870 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619459.870 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619459.872 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619459.872 * * [misc]simplify: iters left: 6 (13 enodes) 1550619459.878 * * [misc]simplify: iters left: 5 (48 enodes) 1550619459.890 * * [misc]simplify: iters left: 4 (60 enodes) 1550619459.905 * * [misc]simplify: iters left: 3 (67 enodes) 1550619459.922 * * [misc]simplify: iters left: 2 (75 enodes) 1550619459.943 * * [misc]simplify: iters left: 1 (84 enodes) 1550619459.963 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619459.963 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619459.963 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619459.963 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1550619459.963 * * [misc]simplify: Extracting #4: cost 22 inf + 128 1550619459.964 * * [misc]simplify: Extracting #5: cost 17 inf + 923 1550619459.965 * * [misc]simplify: Extracting #6: cost 4 inf + 5322 1550619459.966 * * [misc]simplify: Extracting #7: cost 0 inf + 6816 1550619459.967 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619459.967 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k)))))) 1550619459.968 * * * * [misc]progress: [ 220 / 327 ] simplifiying candidate # 1550619459.968 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619459.968 * * [misc]simplify: iters left: 6 (12 enodes) 1550619459.974 * * [misc]simplify: iters left: 5 (44 enodes) 1550619459.987 * * [misc]simplify: iters left: 4 (57 enodes) 1550619460.003 * * [misc]simplify: iters left: 3 (70 enodes) 1550619460.023 * * [misc]simplify: iters left: 2 (75 enodes) 1550619460.042 * * [misc]simplify: iters left: 1 (84 enodes) 1550619460.064 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.064 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619460.064 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619460.064 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1550619460.065 * * [misc]simplify: Extracting #4: cost 13 inf + 250 1550619460.065 * * [misc]simplify: Extracting #5: cost 19 inf + 250 1550619460.065 * * [misc]simplify: Extracting #6: cost 18 inf + 252 1550619460.066 * * [misc]simplify: Extracting #7: cost 10 inf + 878 1550619460.066 * * [misc]simplify: Extracting #8: cost 2 inf + 2830 1550619460.067 * * [misc]simplify: Extracting #9: cost 0 inf + 3578 1550619460.068 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619460.069 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619460.069 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619460.069 * * [misc]simplify: iters left: 6 (13 enodes) 1550619460.076 * * [misc]simplify: iters left: 5 (48 enodes) 1550619460.089 * * [misc]simplify: iters left: 4 (60 enodes) 1550619460.105 * * [misc]simplify: iters left: 3 (67 enodes) 1550619460.123 * * [misc]simplify: iters left: 2 (75 enodes) 1550619460.143 * * [misc]simplify: iters left: 1 (84 enodes) 1550619460.163 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.163 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619460.163 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619460.163 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1550619460.163 * * [misc]simplify: Extracting #4: cost 22 inf + 128 1550619460.163 * * [misc]simplify: Extracting #5: cost 17 inf + 923 1550619460.164 * * [misc]simplify: Extracting #6: cost 4 inf + 5082 1550619460.166 * * [misc]simplify: Extracting #7: cost 0 inf + 6496 1550619460.167 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619460.167 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (* k -1/2)) (sqrt k)))))) 1550619460.167 * * * * [misc]progress: [ 221 / 327 ] simplifiying candidate # 1550619460.168 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1550619460.168 * * [misc]simplify: iters left: 4 (6 enodes) 1550619460.173 * * [misc]simplify: iters left: 3 (19 enodes) 1550619460.179 * * [misc]simplify: iters left: 2 (21 enodes) 1550619460.185 * * [misc]simplify: iters left: 1 (23 enodes) 1550619460.190 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.190 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619460.190 * * [misc]simplify: Extracting #2: cost 2 inf + 3 1550619460.190 * * [misc]simplify: Extracting #3: cost 0 inf + 85 1550619460.190 * [exit]simplify: Simplified to (sqrt PI) 1550619460.190 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt PI) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619460.191 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619460.191 * * [misc]simplify: iters left: 6 (12 enodes) 1550619460.196 * * [misc]simplify: iters left: 5 (45 enodes) 1550619460.209 * * [misc]simplify: iters left: 4 (57 enodes) 1550619460.225 * * [misc]simplify: iters left: 3 (64 enodes) 1550619460.242 * * [misc]simplify: iters left: 2 (72 enodes) 1550619460.262 * * [misc]simplify: iters left: 1 (81 enodes) 1550619460.280 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.280 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619460.280 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619460.281 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619460.281 * * [misc]simplify: Extracting #4: cost 19 inf + 465 1550619460.281 * * [misc]simplify: Extracting #5: cost 10 inf + 2137 1550619460.282 * * [misc]simplify: Extracting #6: cost 0 inf + 5590 1550619460.284 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619460.284 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt PI) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k)))))) 1550619460.284 * * * * [misc]progress: [ 222 / 327 ] simplifiying candidate # 1550619460.284 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1550619460.284 * * [misc]simplify: iters left: 3 (5 enodes) 1550619460.287 * * [misc]simplify: iters left: 2 (16 enodes) 1550619460.293 * * [misc]simplify: iters left: 1 (20 enodes) 1550619460.298 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.298 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619460.298 * * [misc]simplify: Extracting #2: cost 2 inf + 3 1550619460.299 * * [misc]simplify: Extracting #3: cost 0 inf + 85 1550619460.299 * [exit]simplify: Simplified to (sqrt PI) 1550619460.299 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt PI) (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619460.299 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619460.299 * * [misc]simplify: iters left: 6 (12 enodes) 1550619460.305 * * [misc]simplify: iters left: 5 (45 enodes) 1550619460.317 * * [misc]simplify: iters left: 4 (57 enodes) 1550619460.327 * * [misc]simplify: iters left: 3 (64 enodes) 1550619460.335 * * [misc]simplify: iters left: 2 (72 enodes) 1550619460.346 * * [misc]simplify: iters left: 1 (81 enodes) 1550619460.363 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.364 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619460.364 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619460.364 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619460.364 * * [misc]simplify: Extracting #4: cost 19 inf + 465 1550619460.364 * * [misc]simplify: Extracting #5: cost 10 inf + 2137 1550619460.365 * * [misc]simplify: Extracting #6: cost 0 inf + 5590 1550619460.366 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k))) 1550619460.366 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt PI) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* k -1/2)) (sqrt k)))))) 1550619460.366 * * * * [misc]progress: [ 223 / 327 ] simplifiying candidate # 1550619460.366 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1550619460.366 * * [misc]simplify: iters left: 3 (6 enodes) 1550619460.368 * * [misc]simplify: iters left: 2 (19 enodes) 1550619460.370 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.370 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619460.370 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619460.370 * * [misc]simplify: Extracting #3: cost 4 inf + 85 1550619460.370 * * [misc]simplify: Extracting #4: cost 0 inf + 411 1550619460.371 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1550619460.371 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (* 1/2 k))) (/ 1 (pow n (- 1/2 (* 1/2 k)))))))) 1550619460.371 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619460.371 * * [misc]simplify: iters left: 6 (12 enodes) 1550619460.374 * * [misc]simplify: iters left: 5 (47 enodes) 1550619460.381 * * [misc]simplify: iters left: 4 (57 enodes) 1550619460.391 * * [misc]simplify: iters left: 3 (66 enodes) 1550619460.406 * * [misc]simplify: iters left: 2 (71 enodes) 1550619460.428 * * [misc]simplify: iters left: 1 (80 enodes) 1550619460.437 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.437 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619460.437 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1550619460.437 * * [misc]simplify: Extracting #3: cost 20 inf + 3 1550619460.437 * * [misc]simplify: Extracting #4: cost 17 inf + 131 1550619460.438 * * [misc]simplify: Extracting #5: cost 8 inf + 1302 1550619460.438 * * [misc]simplify: Extracting #6: cost 1 inf + 3437 1550619460.439 * * [misc]simplify: Extracting #7: cost 0 inf + 4022 1550619460.439 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (pow PI (* k -1/2))) 1550619460.439 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt PI) (sqrt k)) (* (pow n (- 1/2 (* k 1/2))) (pow PI (* k -1/2)))))) 1550619460.439 * * * * [misc]progress: [ 224 / 327 ] simplifiying candidate # 1550619460.440 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow n 1/2))) 1550619460.440 * * [misc]simplify: iters left: 5 (9 enodes) 1550619460.442 * * [misc]simplify: iters left: 4 (31 enodes) 1550619460.446 * * [misc]simplify: iters left: 3 (36 enodes) 1550619460.451 * * [misc]simplify: iters left: 2 (40 enodes) 1550619460.456 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.456 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619460.456 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619460.457 * * [misc]simplify: Extracting #3: cost 14 inf + 4 1550619460.457 * * [misc]simplify: Extracting #4: cost 6 inf + 575 1550619460.457 * * [misc]simplify: Extracting #5: cost 0 inf + 1388 1550619460.458 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt n)) 1550619460.458 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (/ (pow PI (- (* 1/2 k))) (pow n (* 1/2 k)))))) 1550619460.458 * [enter]simplify: Simplifying (/ (pow PI (- (* 1/2 k))) (pow n (* 1/2 k))) 1550619460.458 * * [misc]simplify: iters left: 6 (9 enodes) 1550619460.463 * * [misc]simplify: iters left: 5 (33 enodes) 1550619460.472 * * [misc]simplify: iters left: 4 (39 enodes) 1550619460.482 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.482 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619460.482 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619460.482 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619460.483 * * [misc]simplify: Extracting #4: cost 9 inf + 341 1550619460.483 * * [misc]simplify: Extracting #5: cost 4 inf + 972 1550619460.483 * * [misc]simplify: Extracting #6: cost 0 inf + 2357 1550619460.484 * [exit]simplify: Simplified to (/ (pow PI (* -1/2 k)) (pow n (* k 1/2))) 1550619460.484 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (/ (pow PI (* -1/2 k)) (pow n (* k 1/2)))))) 1550619460.484 * * * * [misc]progress: [ 225 / 327 ] simplifiying candidate # 1550619460.484 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619460.484 * * [misc]simplify: iters left: 6 (15 enodes) 1550619460.491 * * [misc]simplify: iters left: 5 (54 enodes) 1550619460.506 * * [misc]simplify: iters left: 4 (79 enodes) 1550619460.528 * * [misc]simplify: iters left: 3 (93 enodes) 1550619460.554 * * [misc]simplify: iters left: 2 (104 enodes) 1550619460.582 * * [misc]simplify: iters left: 1 (113 enodes) 1550619460.608 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.608 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619460.608 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1550619460.609 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1550619460.609 * * [misc]simplify: Extracting #4: cost 36 inf + 1 1550619460.609 * * [misc]simplify: Extracting #5: cost 37 inf + 86 1550619460.609 * * [misc]simplify: Extracting #6: cost 29 inf + 752 1550619460.611 * * [misc]simplify: Extracting #7: cost 15 inf + 5180 1550619460.613 * * [misc]simplify: Extracting #8: cost 2 inf + 14128 1550619460.617 * * [misc]simplify: Extracting #9: cost 0 inf + 15696 1550619460.620 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619460.620 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619460.621 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619460.621 * * [misc]simplify: iters left: 6 (13 enodes) 1550619460.626 * * [misc]simplify: iters left: 5 (42 enodes) 1550619460.638 * * [misc]simplify: iters left: 4 (52 enodes) 1550619460.652 * * [misc]simplify: iters left: 3 (59 enodes) 1550619460.668 * * [misc]simplify: iters left: 2 (67 enodes) 1550619460.687 * * [misc]simplify: iters left: 1 (76 enodes) 1550619460.707 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.707 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619460.707 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619460.707 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619460.707 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1550619460.707 * * [misc]simplify: Extracting #5: cost 22 inf + 169 1550619460.707 * * [misc]simplify: Extracting #6: cost 14 inf + 1005 1550619460.708 * * [misc]simplify: Extracting #7: cost 4 inf + 3741 1550619460.709 * * [misc]simplify: Extracting #8: cost 0 inf + 5724 1550619460.710 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619460.710 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619460.711 * * * * [misc]progress: [ 226 / 327 ] simplifiying candidate # 1550619460.711 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619460.711 * * [misc]simplify: iters left: 6 (14 enodes) 1550619460.717 * * [misc]simplify: iters left: 5 (47 enodes) 1550619460.731 * * [misc]simplify: iters left: 4 (61 enodes) 1550619460.740 * * [misc]simplify: iters left: 3 (71 enodes) 1550619460.749 * * [misc]simplify: iters left: 2 (79 enodes) 1550619460.762 * * [misc]simplify: iters left: 1 (88 enodes) 1550619460.780 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.780 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619460.780 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550619460.780 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550619460.780 * * [misc]simplify: Extracting #4: cost 28 inf + 1 1550619460.781 * * [misc]simplify: Extracting #5: cost 29 inf + 86 1550619460.781 * * [misc]simplify: Extracting #6: cost 20 inf + 754 1550619460.782 * * [misc]simplify: Extracting #7: cost 7 inf + 4900 1550619460.784 * * [misc]simplify: Extracting #8: cost 1 inf + 8702 1550619460.786 * * [misc]simplify: Extracting #9: cost 0 inf + 9446 1550619460.787 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619460.787 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619460.788 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619460.788 * * [misc]simplify: iters left: 6 (13 enodes) 1550619460.794 * * [misc]simplify: iters left: 5 (42 enodes) 1550619460.805 * * [misc]simplify: iters left: 4 (52 enodes) 1550619460.821 * * [misc]simplify: iters left: 3 (59 enodes) 1550619460.830 * * [misc]simplify: iters left: 2 (67 enodes) 1550619460.840 * * [misc]simplify: iters left: 1 (76 enodes) 1550619460.849 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619460.849 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619460.849 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619460.849 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619460.849 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1550619460.849 * * [misc]simplify: Extracting #5: cost 22 inf + 169 1550619460.850 * * [misc]simplify: Extracting #6: cost 14 inf + 1005 1550619460.850 * * [misc]simplify: Extracting #7: cost 4 inf + 3661 1550619460.850 * * [misc]simplify: Extracting #8: cost 0 inf + 5564 1550619460.851 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619460.851 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619460.851 * * * * [misc]progress: [ 227 / 327 ] simplifiying candidate # 1550619460.851 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619460.852 * * [misc]simplify: iters left: 6 (15 enodes) 1550619460.855 * * [misc]simplify: iters left: 5 (55 enodes) 1550619460.863 * * [misc]simplify: iters left: 4 (89 enodes) 1550619460.877 * * [misc]simplify: iters left: 3 (155 enodes) 1550619460.915 * * [misc]simplify: iters left: 2 (223 enodes) 1550619460.987 * * [misc]simplify: iters left: 1 (263 enodes) 1550619461.036 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619461.036 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1550619461.037 * * [misc]simplify: Extracting #2: cost 54 inf + 0 1550619461.037 * * [misc]simplify: Extracting #3: cost 55 inf + 84 1550619461.037 * * [misc]simplify: Extracting #4: cost 55 inf + 248 1550619461.040 * * [misc]simplify: Extracting #5: cost 33 inf + 10242 1550619461.046 * * [misc]simplify: Extracting #6: cost 7 inf + 21419 1550619461.051 * * [misc]simplify: Extracting #7: cost 1 inf + 23756 1550619461.055 * * [misc]simplify: Extracting #8: cost 0 inf + 23758 1550619461.059 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) (sqrt n)) 1550619461.059 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) (sqrt n)) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619461.059 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619461.060 * * [misc]simplify: iters left: 6 (14 enodes) 1550619461.063 * * [misc]simplify: iters left: 5 (51 enodes) 1550619461.071 * * [misc]simplify: iters left: 4 (63 enodes) 1550619461.082 * * [misc]simplify: iters left: 3 (70 enodes) 1550619461.101 * * [misc]simplify: iters left: 2 (78 enodes) 1550619461.126 * * [misc]simplify: iters left: 1 (87 enodes) 1550619461.145 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619461.145 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619461.145 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619461.145 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619461.145 * * [misc]simplify: Extracting #4: cost 23 inf + 249 1550619461.146 * * [misc]simplify: Extracting #5: cost 14 inf + 1873 1550619461.147 * * [misc]simplify: Extracting #6: cost 5 inf + 5299 1550619461.148 * * [misc]simplify: Extracting #7: cost 1 inf + 7496 1550619461.149 * * [misc]simplify: Extracting #8: cost 0 inf + 7538 1550619461.151 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) 1550619461.151 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))))) 1550619461.151 * * * * [misc]progress: [ 228 / 327 ] simplifiying candidate # 1550619461.151 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619461.152 * * [misc]simplify: iters left: 6 (15 enodes) 1550619461.159 * * [misc]simplify: iters left: 5 (55 enodes) 1550619461.176 * * [misc]simplify: iters left: 4 (89 enodes) 1550619461.203 * * [misc]simplify: iters left: 3 (155 enodes) 1550619461.254 * * [misc]simplify: iters left: 2 (223 enodes) 1550619461.324 * * [misc]simplify: iters left: 1 (263 enodes) 1550619461.399 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619461.400 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1550619461.400 * * [misc]simplify: Extracting #2: cost 54 inf + 0 1550619461.400 * * [misc]simplify: Extracting #3: cost 55 inf + 84 1550619461.401 * * [misc]simplify: Extracting #4: cost 55 inf + 248 1550619461.403 * * [misc]simplify: Extracting #5: cost 33 inf + 10242 1550619461.410 * * [misc]simplify: Extracting #6: cost 7 inf + 21419 1550619461.417 * * [misc]simplify: Extracting #7: cost 1 inf + 23756 1550619461.425 * * [misc]simplify: Extracting #8: cost 0 inf + 23758 1550619461.433 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) (sqrt n)) 1550619461.433 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) (sqrt n)) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619461.434 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619461.434 * * [misc]simplify: iters left: 6 (14 enodes) 1550619461.440 * * [misc]simplify: iters left: 5 (51 enodes) 1550619461.454 * * [misc]simplify: iters left: 4 (63 enodes) 1550619461.471 * * [misc]simplify: iters left: 3 (70 enodes) 1550619461.489 * * [misc]simplify: iters left: 2 (78 enodes) 1550619461.512 * * [misc]simplify: iters left: 1 (87 enodes) 1550619461.523 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619461.523 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619461.523 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619461.523 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619461.523 * * [misc]simplify: Extracting #4: cost 23 inf + 249 1550619461.523 * * [misc]simplify: Extracting #5: cost 14 inf + 1873 1550619461.524 * * [misc]simplify: Extracting #6: cost 5 inf + 5299 1550619461.525 * * [misc]simplify: Extracting #7: cost 1 inf + 7496 1550619461.525 * * [misc]simplify: Extracting #8: cost 0 inf + 7538 1550619461.526 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) 1550619461.526 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))))) 1550619461.527 * * * * [misc]progress: [ 229 / 327 ] simplifiying candidate # 1550619461.527 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619461.527 * * [misc]simplify: iters left: 6 (17 enodes) 1550619461.531 * * [misc]simplify: iters left: 5 (64 enodes) 1550619461.543 * * [misc]simplify: iters left: 4 (120 enodes) 1550619461.583 * * [misc]simplify: iters left: 3 (234 enodes) 1550619461.676 * * [misc]simplify: iters left: 2 (399 enodes) 1550619461.861 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619461.861 * * [misc]simplify: Extracting #1: cost 50 inf + 0 1550619461.862 * * [misc]simplify: Extracting #2: cost 91 inf + 0 1550619461.862 * * [misc]simplify: Extracting #3: cost 98 inf + 0 1550619461.862 * * [misc]simplify: Extracting #4: cost 98 inf + 165 1550619461.863 * * [misc]simplify: Extracting #5: cost 93 inf + 2466 1550619461.867 * * [misc]simplify: Extracting #6: cost 37 inf + 35336 1550619461.883 * * [misc]simplify: Extracting #7: cost 0 inf + 62800 1550619461.904 * * [misc]simplify: Extracting #8: cost 0 inf + 62720 1550619461.925 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2)))))) (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2))))))) 1550619461.925 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2)))))) (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2))))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619461.926 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619461.926 * * [misc]simplify: iters left: 6 (14 enodes) 1550619461.932 * * [misc]simplify: iters left: 5 (47 enodes) 1550619461.945 * * [misc]simplify: iters left: 4 (62 enodes) 1550619461.954 * * [misc]simplify: iters left: 3 (73 enodes) 1550619461.966 * * [misc]simplify: iters left: 2 (81 enodes) 1550619461.982 * * [misc]simplify: iters left: 1 (90 enodes) 1550619462.005 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619462.005 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619462.005 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619462.005 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619462.005 * * [misc]simplify: Extracting #4: cost 23 inf + 286 1550619462.005 * * [misc]simplify: Extracting #5: cost 27 inf + 328 1550619462.005 * * [misc]simplify: Extracting #6: cost 19 inf + 914 1550619462.006 * * [misc]simplify: Extracting #7: cost 5 inf + 6073 1550619462.007 * * [misc]simplify: Extracting #8: cost 0 inf + 8760 1550619462.008 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))) 1550619462.008 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619462.008 * * * * [misc]progress: [ 230 / 327 ] simplifiying candidate # 1550619462.008 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619462.008 * * [misc]simplify: iters left: 6 (16 enodes) 1550619462.012 * * [misc]simplify: iters left: 5 (57 enodes) 1550619462.021 * * [misc]simplify: iters left: 4 (91 enodes) 1550619462.038 * * [misc]simplify: iters left: 3 (157 enodes) 1550619462.078 * * [misc]simplify: iters left: 2 (223 enodes) 1550619462.114 * * [misc]simplify: iters left: 1 (261 enodes) 1550619462.169 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619462.169 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1550619462.170 * * [misc]simplify: Extracting #2: cost 53 inf + 0 1550619462.170 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1550619462.170 * * [misc]simplify: Extracting #4: cost 60 inf + 165 1550619462.171 * * [misc]simplify: Extracting #5: cost 61 inf + 650 1550619462.172 * * [misc]simplify: Extracting #6: cost 39 inf + 8902 1550619462.180 * * [misc]simplify: Extracting #7: cost 1 inf + 29832 1550619462.189 * * [misc]simplify: Extracting #8: cost 0 inf + 30616 1550619462.198 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))) 1550619462.198 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619462.199 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619462.199 * * [misc]simplify: iters left: 6 (14 enodes) 1550619462.205 * * [misc]simplify: iters left: 5 (47 enodes) 1550619462.217 * * [misc]simplify: iters left: 4 (62 enodes) 1550619462.226 * * [misc]simplify: iters left: 3 (73 enodes) 1550619462.236 * * [misc]simplify: iters left: 2 (81 enodes) 1550619462.254 * * [misc]simplify: iters left: 1 (90 enodes) 1550619462.275 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619462.275 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619462.275 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619462.275 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619462.276 * * [misc]simplify: Extracting #4: cost 23 inf + 286 1550619462.276 * * [misc]simplify: Extracting #5: cost 27 inf + 328 1550619462.276 * * [misc]simplify: Extracting #6: cost 19 inf + 914 1550619462.277 * * [misc]simplify: Extracting #7: cost 5 inf + 5913 1550619462.279 * * [misc]simplify: Extracting #8: cost 0 inf + 8440 1550619462.280 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619462.280 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619462.281 * * * * [misc]progress: [ 231 / 327 ] simplifiying candidate # 1550619462.281 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1550619462.281 * * [misc]simplify: iters left: 6 (14 enodes) 1550619462.288 * * [misc]simplify: iters left: 5 (51 enodes) 1550619462.304 * * [misc]simplify: iters left: 4 (87 enodes) 1550619462.327 * * [misc]simplify: iters left: 3 (128 enodes) 1550619462.347 * * [misc]simplify: iters left: 2 (167 enodes) 1550619462.391 * * [misc]simplify: iters left: 1 (205 enodes) 1550619462.428 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619462.428 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619462.428 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1550619462.429 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1550619462.429 * * [misc]simplify: Extracting #4: cost 38 inf + 3 1550619462.429 * * [misc]simplify: Extracting #5: cost 37 inf + 370 1550619462.429 * * [misc]simplify: Extracting #6: cost 27 inf + 1480 1550619462.430 * * [misc]simplify: Extracting #7: cost 14 inf + 5301 1550619462.432 * * [misc]simplify: Extracting #8: cost 3 inf + 11364 1550619462.434 * * [misc]simplify: Extracting #9: cost 0 inf + 13043 1550619462.438 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) 1550619462.438 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619462.439 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619462.439 * * [misc]simplify: iters left: 6 (13 enodes) 1550619462.442 * * [misc]simplify: iters left: 5 (44 enodes) 1550619462.449 * * [misc]simplify: iters left: 4 (59 enodes) 1550619462.461 * * [misc]simplify: iters left: 3 (70 enodes) 1550619462.480 * * [misc]simplify: iters left: 2 (78 enodes) 1550619462.501 * * [misc]simplify: iters left: 1 (87 enodes) 1550619462.521 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619462.521 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619462.521 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619462.521 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619462.521 * * [misc]simplify: Extracting #4: cost 26 inf + 207 1550619462.522 * * [misc]simplify: Extracting #5: cost 19 inf + 870 1550619462.523 * * [misc]simplify: Extracting #6: cost 3 inf + 5633 1550619462.524 * * [misc]simplify: Extracting #7: cost 0 inf + 7534 1550619462.526 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))) 1550619462.526 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* k 1/2)))))))) 1550619462.526 * * * * [misc]progress: [ 232 / 327 ] simplifiying candidate # 1550619462.526 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619462.527 * * [misc]simplify: iters left: 6 (14 enodes) 1550619462.533 * * [misc]simplify: iters left: 5 (50 enodes) 1550619462.541 * * [misc]simplify: iters left: 4 (73 enodes) 1550619462.551 * * [misc]simplify: iters left: 3 (99 enodes) 1550619462.569 * * [misc]simplify: iters left: 2 (120 enodes) 1550619462.586 * * [misc]simplify: iters left: 1 (134 enodes) 1550619462.604 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619462.604 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550619462.604 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1550619462.604 * * [misc]simplify: Extracting #3: cost 36 inf + 84 1550619462.605 * * [misc]simplify: Extracting #4: cost 36 inf + 208 1550619462.605 * * [misc]simplify: Extracting #5: cost 34 inf + 1153 1550619462.606 * * [misc]simplify: Extracting #6: cost 16 inf + 6501 1550619462.610 * * [misc]simplify: Extracting #7: cost 1 inf + 13240 1550619462.614 * * [misc]simplify: Extracting #8: cost 0 inf + 13734 1550619462.617 * [exit]simplify: Simplified to (* (sqrt n) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) 1550619462.617 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt n) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619462.617 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619462.617 * * [misc]simplify: iters left: 6 (14 enodes) 1550619462.621 * * [misc]simplify: iters left: 5 (51 enodes) 1550619462.628 * * [misc]simplify: iters left: 4 (63 enodes) 1550619462.637 * * [misc]simplify: iters left: 3 (70 enodes) 1550619462.647 * * [misc]simplify: iters left: 2 (78 enodes) 1550619462.664 * * [misc]simplify: iters left: 1 (87 enodes) 1550619462.682 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619462.683 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619462.683 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619462.683 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619462.683 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1550619462.683 * * [misc]simplify: Extracting #5: cost 14 inf + 1753 1550619462.683 * * [misc]simplify: Extracting #6: cost 5 inf + 5019 1550619462.684 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619462.685 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619462.686 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) 1550619462.686 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (pow n 1/2))) (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))) 1550619462.686 * * * * [misc]progress: [ 233 / 327 ] simplifiying candidate # 1550619462.686 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619462.686 * * [misc]simplify: iters left: 6 (14 enodes) 1550619462.689 * * [misc]simplify: iters left: 5 (50 enodes) 1550619462.697 * * [misc]simplify: iters left: 4 (73 enodes) 1550619462.708 * * [misc]simplify: iters left: 3 (99 enodes) 1550619462.727 * * [misc]simplify: iters left: 2 (120 enodes) 1550619462.758 * * [misc]simplify: iters left: 1 (134 enodes) 1550619462.786 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619462.786 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550619462.786 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1550619462.786 * * [misc]simplify: Extracting #3: cost 36 inf + 84 1550619462.786 * * [misc]simplify: Extracting #4: cost 36 inf + 208 1550619462.786 * * [misc]simplify: Extracting #5: cost 34 inf + 1153 1550619462.787 * * [misc]simplify: Extracting #6: cost 16 inf + 6501 1550619462.789 * * [misc]simplify: Extracting #7: cost 1 inf + 13240 1550619462.790 * * [misc]simplify: Extracting #8: cost 0 inf + 13734 1550619462.792 * [exit]simplify: Simplified to (* (sqrt n) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) 1550619462.793 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt n) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619462.793 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619462.793 * * [misc]simplify: iters left: 6 (14 enodes) 1550619462.796 * * [misc]simplify: iters left: 5 (51 enodes) 1550619462.804 * * [misc]simplify: iters left: 4 (63 enodes) 1550619462.814 * * [misc]simplify: iters left: 3 (70 enodes) 1550619462.823 * * [misc]simplify: iters left: 2 (78 enodes) 1550619462.839 * * [misc]simplify: iters left: 1 (87 enodes) 1550619462.862 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619462.862 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619462.862 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619462.862 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619462.862 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1550619462.863 * * [misc]simplify: Extracting #5: cost 14 inf + 1753 1550619462.864 * * [misc]simplify: Extracting #6: cost 5 inf + 5019 1550619462.865 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619462.866 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619462.868 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) 1550619462.868 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (pow n 1/2))) (* (pow n (* k -1/2)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))) 1550619462.868 * * * * [misc]progress: [ 234 / 327 ] simplifiying candidate # 1550619462.869 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619462.869 * * [misc]simplify: iters left: 6 (16 enodes) 1550619462.875 * * [misc]simplify: iters left: 5 (57 enodes) 1550619462.890 * * [misc]simplify: iters left: 4 (88 enodes) 1550619462.917 * * [misc]simplify: iters left: 3 (133 enodes) 1550619462.956 * * [misc]simplify: iters left: 2 (188 enodes) 1550619462.989 * * [misc]simplify: iters left: 1 (229 enodes) 1550619463.024 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.024 * * [misc]simplify: Extracting #1: cost 25 inf + 0 1550619463.024 * * [misc]simplify: Extracting #2: cost 51 inf + 0 1550619463.025 * * [misc]simplify: Extracting #3: cost 58 inf + 0 1550619463.025 * * [misc]simplify: Extracting #4: cost 58 inf + 125 1550619463.026 * * [misc]simplify: Extracting #5: cost 61 inf + 248 1550619463.027 * * [misc]simplify: Extracting #6: cost 48 inf + 3430 1550619463.031 * * [misc]simplify: Extracting #7: cost 19 inf + 18072 1550619463.039 * * [misc]simplify: Extracting #8: cost 2 inf + 30385 1550619463.048 * * [misc]simplify: Extracting #9: cost 0 inf + 31451 1550619463.053 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))))) 1550619463.053 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619463.053 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619463.053 * * [misc]simplify: iters left: 6 (14 enodes) 1550619463.056 * * [misc]simplify: iters left: 5 (47 enodes) 1550619463.065 * * [misc]simplify: iters left: 4 (62 enodes) 1550619463.073 * * [misc]simplify: iters left: 3 (73 enodes) 1550619463.085 * * [misc]simplify: iters left: 2 (81 enodes) 1550619463.107 * * [misc]simplify: iters left: 1 (90 enodes) 1550619463.119 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.119 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619463.119 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619463.119 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619463.119 * * [misc]simplify: Extracting #4: cost 23 inf + 206 1550619463.119 * * [misc]simplify: Extracting #5: cost 27 inf + 248 1550619463.119 * * [misc]simplify: Extracting #6: cost 19 inf + 834 1550619463.120 * * [misc]simplify: Extracting #7: cost 5 inf + 5793 1550619463.121 * * [misc]simplify: Extracting #8: cost 0 inf + 8440 1550619463.122 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))) 1550619463.122 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619463.122 * * * * [misc]progress: [ 235 / 327 ] simplifiying candidate # 1550619463.122 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619463.122 * * [misc]simplify: iters left: 6 (15 enodes) 1550619463.126 * * [misc]simplify: iters left: 5 (52 enodes) 1550619463.134 * * [misc]simplify: iters left: 4 (75 enodes) 1550619463.147 * * [misc]simplify: iters left: 3 (101 enodes) 1550619463.165 * * [misc]simplify: iters left: 2 (122 enodes) 1550619463.185 * * [misc]simplify: iters left: 1 (136 enodes) 1550619463.218 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.218 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550619463.218 * * [misc]simplify: Extracting #2: cost 34 inf + 0 1550619463.219 * * [misc]simplify: Extracting #3: cost 41 inf + 0 1550619463.219 * * [misc]simplify: Extracting #4: cost 40 inf + 206 1550619463.219 * * [misc]simplify: Extracting #5: cost 44 inf + 248 1550619463.220 * * [misc]simplify: Extracting #6: cost 29 inf + 3845 1550619463.223 * * [misc]simplify: Extracting #7: cost 7 inf + 13752 1550619463.227 * * [misc]simplify: Extracting #8: cost 0 inf + 18378 1550619463.232 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2))))))) 1550619463.232 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2))))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619463.233 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619463.233 * * [misc]simplify: iters left: 6 (14 enodes) 1550619463.239 * * [misc]simplify: iters left: 5 (47 enodes) 1550619463.247 * * [misc]simplify: iters left: 4 (62 enodes) 1550619463.256 * * [misc]simplify: iters left: 3 (73 enodes) 1550619463.267 * * [misc]simplify: iters left: 2 (81 enodes) 1550619463.288 * * [misc]simplify: iters left: 1 (90 enodes) 1550619463.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.307 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619463.307 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619463.307 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619463.307 * * [misc]simplify: Extracting #4: cost 23 inf + 206 1550619463.307 * * [misc]simplify: Extracting #5: cost 27 inf + 248 1550619463.308 * * [misc]simplify: Extracting #6: cost 19 inf + 834 1550619463.308 * * [misc]simplify: Extracting #7: cost 5 inf + 5633 1550619463.309 * * [misc]simplify: Extracting #8: cost 0 inf + 8120 1550619463.310 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619463.310 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619463.310 * * * * [misc]progress: [ 236 / 327 ] simplifiying candidate # 1550619463.310 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) 1)) 1550619463.310 * * [misc]simplify: iters left: 6 (13 enodes) 1550619463.314 * * [misc]simplify: iters left: 5 (46 enodes) 1550619463.321 * * [misc]simplify: iters left: 4 (64 enodes) 1550619463.330 * * [misc]simplify: iters left: 3 (81 enodes) 1550619463.342 * * [misc]simplify: iters left: 2 (92 enodes) 1550619463.355 * * [misc]simplify: iters left: 1 (104 enodes) 1550619463.372 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.372 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1550619463.373 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1550619463.373 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1550619463.373 * * [misc]simplify: Extracting #4: cost 21 inf + 166 1550619463.373 * * [misc]simplify: Extracting #5: cost 23 inf + 290 1550619463.373 * * [misc]simplify: Extracting #6: cost 17 inf + 833 1550619463.374 * * [misc]simplify: Extracting #7: cost 4 inf + 4917 1550619463.374 * * [misc]simplify: Extracting #8: cost 0 inf + 7009 1550619463.375 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2)))))) 1550619463.375 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2)))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619463.376 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619463.376 * * [misc]simplify: iters left: 6 (13 enodes) 1550619463.379 * * [misc]simplify: iters left: 5 (44 enodes) 1550619463.385 * * [misc]simplify: iters left: 4 (59 enodes) 1550619463.395 * * [misc]simplify: iters left: 3 (70 enodes) 1550619463.414 * * [misc]simplify: iters left: 2 (78 enodes) 1550619463.436 * * [misc]simplify: iters left: 1 (87 enodes) 1550619463.457 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.457 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619463.457 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619463.457 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619463.458 * * [misc]simplify: Extracting #4: cost 26 inf + 167 1550619463.458 * * [misc]simplify: Extracting #5: cost 19 inf + 790 1550619463.459 * * [misc]simplify: Extracting #6: cost 3 inf + 5393 1550619463.460 * * [misc]simplify: Extracting #7: cost 0 inf + 7214 1550619463.462 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))) 1550619463.462 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* k 1/2)))))))) 1550619463.462 * * * * [misc]progress: [ 237 / 327 ] simplifiying candidate # 1550619463.462 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (pow n 1/2))) 1550619463.463 * * [misc]simplify: iters left: 6 (13 enodes) 1550619463.469 * * [misc]simplify: iters left: 5 (49 enodes) 1550619463.486 * * [misc]simplify: iters left: 4 (70 enodes) 1550619463.501 * * [misc]simplify: iters left: 3 (103 enodes) 1550619463.516 * * [misc]simplify: iters left: 2 (120 enodes) 1550619463.540 * * [misc]simplify: iters left: 1 (157 enodes) 1550619463.585 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.585 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619463.585 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550619463.585 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1550619463.587 * * [misc]simplify: Extracting #4: cost 22 inf + 168 1550619463.587 * * [misc]simplify: Extracting #5: cost 27 inf + 250 1550619463.588 * * [misc]simplify: Extracting #6: cost 18 inf + 958 1550619463.589 * * [misc]simplify: Extracting #7: cost 4 inf + 5754 1550619463.592 * * [misc]simplify: Extracting #8: cost 0 inf + 7530 1550619463.594 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (* k 1/2)))))) 1550619463.594 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (* k 1/2)))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619463.595 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619463.595 * * [misc]simplify: iters left: 6 (13 enodes) 1550619463.601 * * [misc]simplify: iters left: 5 (48 enodes) 1550619463.615 * * [misc]simplify: iters left: 4 (60 enodes) 1550619463.633 * * [misc]simplify: iters left: 3 (67 enodes) 1550619463.650 * * [misc]simplify: iters left: 2 (75 enodes) 1550619463.670 * * [misc]simplify: iters left: 1 (84 enodes) 1550619463.680 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.680 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619463.680 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619463.680 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1550619463.680 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619463.680 * * [misc]simplify: Extracting #5: cost 13 inf + 2084 1550619463.681 * * [misc]simplify: Extracting #6: cost 4 inf + 5322 1550619463.681 * * [misc]simplify: Extracting #7: cost 0 inf + 6816 1550619463.682 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))) 1550619463.682 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (pow n 1/2))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2))))))) 1550619463.682 * * * * [misc]progress: [ 238 / 327 ] simplifiying candidate # 1550619463.683 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (pow n 1/2))) 1550619463.683 * * [misc]simplify: iters left: 6 (13 enodes) 1550619463.686 * * [misc]simplify: iters left: 5 (49 enodes) 1550619463.694 * * [misc]simplify: iters left: 4 (70 enodes) 1550619463.713 * * [misc]simplify: iters left: 3 (103 enodes) 1550619463.742 * * [misc]simplify: iters left: 2 (120 enodes) 1550619463.774 * * [misc]simplify: iters left: 1 (157 enodes) 1550619463.817 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.818 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619463.818 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550619463.818 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1550619463.818 * * [misc]simplify: Extracting #4: cost 22 inf + 168 1550619463.818 * * [misc]simplify: Extracting #5: cost 27 inf + 250 1550619463.819 * * [misc]simplify: Extracting #6: cost 18 inf + 958 1550619463.820 * * [misc]simplify: Extracting #7: cost 4 inf + 5754 1550619463.823 * * [misc]simplify: Extracting #8: cost 0 inf + 7530 1550619463.825 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (* k 1/2)))))) 1550619463.826 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (* k 1/2)))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619463.826 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619463.826 * * [misc]simplify: iters left: 6 (13 enodes) 1550619463.832 * * [misc]simplify: iters left: 5 (48 enodes) 1550619463.849 * * [misc]simplify: iters left: 4 (60 enodes) 1550619463.863 * * [misc]simplify: iters left: 3 (67 enodes) 1550619463.872 * * [misc]simplify: iters left: 2 (75 enodes) 1550619463.882 * * [misc]simplify: iters left: 1 (84 enodes) 1550619463.892 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619463.893 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619463.893 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619463.893 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1550619463.893 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619463.893 * * [misc]simplify: Extracting #5: cost 13 inf + 2084 1550619463.894 * * [misc]simplify: Extracting #6: cost 4 inf + 5322 1550619463.894 * * [misc]simplify: Extracting #7: cost 0 inf + 6816 1550619463.895 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))) 1550619463.895 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (pow n 1/2))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2))))))) 1550619463.895 * * * * [misc]progress: [ 239 / 327 ] simplifiying candidate # 1550619463.895 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619463.895 * * [misc]simplify: iters left: 6 (15 enodes) 1550619463.899 * * [misc]simplify: iters left: 5 (56 enodes) 1550619463.908 * * [misc]simplify: iters left: 4 (85 enodes) 1550619463.922 * * [misc]simplify: iters left: 3 (139 enodes) 1550619463.967 * * [misc]simplify: iters left: 2 (185 enodes) 1550619464.038 * * [misc]simplify: iters left: 1 (281 enodes) 1550619464.164 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.164 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550619464.164 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1550619464.164 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1550619464.165 * * [misc]simplify: Extracting #4: cost 40 inf + 3 1550619464.165 * * [misc]simplify: Extracting #5: cost 45 inf + 4 1550619464.166 * * [misc]simplify: Extracting #6: cost 32 inf + 2204 1550619464.169 * * [misc]simplify: Extracting #7: cost 10 inf + 12631 1550619464.175 * * [misc]simplify: Extracting #8: cost 0 inf + 18794 1550619464.182 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2)))))) 1550619464.182 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2)))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619464.183 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619464.183 * * [misc]simplify: iters left: 6 (13 enodes) 1550619464.187 * * [misc]simplify: iters left: 5 (44 enodes) 1550619464.194 * * [misc]simplify: iters left: 4 (59 enodes) 1550619464.202 * * [misc]simplify: iters left: 3 (70 enodes) 1550619464.211 * * [misc]simplify: iters left: 2 (78 enodes) 1550619464.227 * * [misc]simplify: iters left: 1 (87 enodes) 1550619464.247 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.247 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619464.247 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619464.248 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550619464.248 * * [misc]simplify: Extracting #4: cost 22 inf + 85 1550619464.248 * * [misc]simplify: Extracting #5: cost 27 inf + 86 1550619464.248 * * [misc]simplify: Extracting #6: cost 20 inf + 921 1550619464.252 * * [misc]simplify: Extracting #7: cost 3 inf + 6137 1550619464.253 * * [misc]simplify: Extracting #8: cost 0 inf + 8038 1550619464.255 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619464.255 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* k 1/2))))))))) 1550619464.255 * * * * [misc]progress: [ 240 / 327 ] simplifiying candidate # 1550619464.256 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619464.256 * * [misc]simplify: iters left: 6 (14 enodes) 1550619464.263 * * [misc]simplify: iters left: 5 (51 enodes) 1550619464.279 * * [misc]simplify: iters left: 4 (72 enodes) 1550619464.291 * * [misc]simplify: iters left: 3 (105 enodes) 1550619464.307 * * [misc]simplify: iters left: 2 (122 enodes) 1550619464.342 * * [misc]simplify: iters left: 1 (160 enodes) 1550619464.378 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.378 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619464.378 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1550619464.378 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550619464.378 * * [misc]simplify: Extracting #4: cost 28 inf + 3 1550619464.378 * * [misc]simplify: Extracting #5: cost 33 inf + 4 1550619464.378 * * [misc]simplify: Extracting #6: cost 24 inf + 672 1550619464.379 * * [misc]simplify: Extracting #7: cost 8 inf + 6403 1550619464.381 * * [misc]simplify: Extracting #8: cost 0 inf + 10544 1550619464.382 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2)))))) 1550619464.382 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2)))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619464.382 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619464.383 * * [misc]simplify: iters left: 6 (13 enodes) 1550619464.385 * * [misc]simplify: iters left: 5 (44 enodes) 1550619464.392 * * [misc]simplify: iters left: 4 (59 enodes) 1550619464.408 * * [misc]simplify: iters left: 3 (70 enodes) 1550619464.418 * * [misc]simplify: iters left: 2 (78 enodes) 1550619464.429 * * [misc]simplify: iters left: 1 (87 enodes) 1550619464.439 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.439 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619464.439 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619464.439 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550619464.439 * * [misc]simplify: Extracting #4: cost 22 inf + 85 1550619464.440 * * [misc]simplify: Extracting #5: cost 27 inf + 86 1550619464.440 * * [misc]simplify: Extracting #6: cost 20 inf + 921 1550619464.440 * * [misc]simplify: Extracting #7: cost 3 inf + 5897 1550619464.442 * * [misc]simplify: Extracting #8: cost 0 inf + 7718 1550619464.443 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619464.443 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* k 1/2))))))))) 1550619464.444 * * * * [misc]progress: [ 241 / 327 ] simplifiying candidate # 1550619464.444 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 1)) 1550619464.444 * * [misc]simplify: iters left: 6 (11 enodes) 1550619464.450 * * [misc]simplify: iters left: 5 (38 enodes) 1550619464.463 * * [misc]simplify: iters left: 4 (54 enodes) 1550619464.479 * * [misc]simplify: iters left: 3 (64 enodes) 1550619464.495 * * [misc]simplify: iters left: 2 (69 enodes) 1550619464.507 * * [misc]simplify: iters left: 1 (76 enodes) 1550619464.515 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.515 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619464.515 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550619464.515 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619464.515 * * [misc]simplify: Extracting #4: cost 14 inf + 2 1550619464.515 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1550619464.516 * * [misc]simplify: Extracting #6: cost 13 inf + 214 1550619464.516 * * [misc]simplify: Extracting #7: cost 7 inf + 796 1550619464.516 * * [misc]simplify: Extracting #8: cost 1 inf + 3075 1550619464.517 * * [misc]simplify: Extracting #9: cost 0 inf + 3489 1550619464.517 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1550619464.517 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619464.517 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619464.518 * * [misc]simplify: iters left: 6 (12 enodes) 1550619464.520 * * [misc]simplify: iters left: 5 (41 enodes) 1550619464.526 * * [misc]simplify: iters left: 4 (56 enodes) 1550619464.534 * * [misc]simplify: iters left: 3 (67 enodes) 1550619464.543 * * [misc]simplify: iters left: 2 (75 enodes) 1550619464.563 * * [misc]simplify: iters left: 1 (84 enodes) 1550619464.580 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.580 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619464.580 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619464.580 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619464.580 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619464.580 * * [misc]simplify: Extracting #5: cost 16 inf + 1467 1550619464.581 * * [misc]simplify: Extracting #6: cost 4 inf + 4989 1550619464.581 * * [misc]simplify: Extracting #7: cost 0 inf + 6812 1550619464.582 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619464.582 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ 1 1)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619464.582 * * * * [misc]progress: [ 242 / 327 ] simplifiying candidate # 1550619464.582 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) 1) 1550619464.583 * * [misc]simplify: iters left: 6 (10 enodes) 1550619464.585 * * [misc]simplify: iters left: 5 (35 enodes) 1550619464.591 * * [misc]simplify: iters left: 4 (55 enodes) 1550619464.599 * * [misc]simplify: iters left: 3 (62 enodes) 1550619464.607 * * [misc]simplify: iters left: 2 (66 enodes) 1550619464.623 * * [misc]simplify: iters left: 1 (73 enodes) 1550619464.632 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.632 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619464.632 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550619464.632 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619464.632 * * [misc]simplify: Extracting #4: cost 14 inf + 2 1550619464.632 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1550619464.632 * * [misc]simplify: Extracting #6: cost 12 inf + 256 1550619464.632 * * [misc]simplify: Extracting #7: cost 6 inf + 1089 1550619464.633 * * [misc]simplify: Extracting #8: cost 1 inf + 3075 1550619464.633 * * [misc]simplify: Extracting #9: cost 0 inf + 3489 1550619464.633 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1550619464.633 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619464.634 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619464.634 * * [misc]simplify: iters left: 6 (12 enodes) 1550619464.636 * * [misc]simplify: iters left: 5 (41 enodes) 1550619464.643 * * [misc]simplify: iters left: 4 (56 enodes) 1550619464.651 * * [misc]simplify: iters left: 3 (67 enodes) 1550619464.669 * * [misc]simplify: iters left: 2 (75 enodes) 1550619464.680 * * [misc]simplify: iters left: 1 (84 enodes) 1550619464.690 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.690 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619464.691 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619464.691 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619464.691 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619464.691 * * [misc]simplify: Extracting #5: cost 16 inf + 1467 1550619464.691 * * [misc]simplify: Extracting #6: cost 4 inf + 4989 1550619464.692 * * [misc]simplify: Extracting #7: cost 0 inf + 6812 1550619464.693 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619464.693 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) 1) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619464.693 * * * * [misc]progress: [ 243 / 327 ] simplifiying candidate # 1550619464.693 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) 1550619464.693 * * [misc]simplify: iters left: 6 (10 enodes) 1550619464.696 * * [misc]simplify: iters left: 5 (35 enodes) 1550619464.705 * * [misc]simplify: iters left: 4 (49 enodes) 1550619464.719 * * [misc]simplify: iters left: 3 (59 enodes) 1550619464.735 * * [misc]simplify: iters left: 2 (67 enodes) 1550619464.754 * * [misc]simplify: iters left: 1 (76 enodes) 1550619464.772 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.772 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619464.772 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550619464.772 * * [misc]simplify: Extracting #3: cost 14 inf + 83 1550619464.773 * * [misc]simplify: Extracting #4: cost 18 inf + 84 1550619464.773 * * [misc]simplify: Extracting #5: cost 22 inf + 127 1550619464.773 * * [misc]simplify: Extracting #6: cost 14 inf + 753 1550619464.774 * * [misc]simplify: Extracting #7: cost 1 inf + 5048 1550619464.775 * * [misc]simplify: Extracting #8: cost 0 inf + 5541 1550619464.776 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1550619464.776 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n (- 1/2 (* 1/2 k)))))))) 1550619464.777 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619464.777 * * [misc]simplify: iters left: 6 (12 enodes) 1550619464.780 * * [misc]simplify: iters left: 5 (43 enodes) 1550619464.788 * * [misc]simplify: iters left: 4 (56 enodes) 1550619464.796 * * [misc]simplify: iters left: 3 (69 enodes) 1550619464.805 * * [misc]simplify: iters left: 2 (74 enodes) 1550619464.825 * * [misc]simplify: iters left: 1 (83 enodes) 1550619464.835 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.835 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619464.835 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619464.835 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550619464.835 * * [misc]simplify: Extracting #4: cost 23 inf + 4 1550619464.835 * * [misc]simplify: Extracting #5: cost 12 inf + 1007 1550619464.836 * * [misc]simplify: Extracting #6: cost 1 inf + 4832 1550619464.836 * * [misc]simplify: Extracting #7: cost 0 inf + 5166 1550619464.837 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1550619464.837 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) (* (pow n (- 1/2 (* k 1/2))) (cbrt (pow PI (- 1/2 (* k 1/2)))))))) 1550619464.837 * * * * [misc]progress: [ 244 / 327 ] simplifiying candidate # 1550619464.837 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt k) (pow n 1/2))) 1550619464.837 * * [misc]simplify: iters left: 6 (13 enodes) 1550619464.840 * * [misc]simplify: iters left: 5 (47 enodes) 1550619464.847 * * [misc]simplify: iters left: 4 (70 enodes) 1550619464.858 * * [misc]simplify: iters left: 3 (96 enodes) 1550619464.884 * * [misc]simplify: iters left: 2 (117 enodes) 1550619464.917 * * [misc]simplify: iters left: 1 (131 enodes) 1550619464.948 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619464.948 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550619464.948 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1550619464.949 * * [misc]simplify: Extracting #3: cost 34 inf + 44 1550619464.949 * * [misc]simplify: Extracting #4: cost 31 inf + 534 1550619464.949 * * [misc]simplify: Extracting #5: cost 32 inf + 1155 1550619464.950 * * [misc]simplify: Extracting #6: cost 16 inf + 5819 1550619464.953 * * [misc]simplify: Extracting #7: cost 1 inf + 12359 1550619464.955 * * [misc]simplify: Extracting #8: cost 0 inf + 12812 1550619464.957 * [exit]simplify: Simplified to (/ (sqrt n) (/ (sqrt k) (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))))) 1550619464.957 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (/ (sqrt k) (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (pow n (* 1/2 k)))))) 1550619464.957 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (pow n (* 1/2 k))) 1550619464.957 * * [misc]simplify: iters left: 6 (10 enodes) 1550619464.960 * * [misc]simplify: iters left: 5 (33 enodes) 1550619464.965 * * [misc]simplify: iters left: 4 (43 enodes) 1550619464.971 * * [misc]simplify: iters left: 3 (50 enodes) 1550619464.978 * * [misc]simplify: iters left: 2 (58 enodes) 1550619464.992 * * [misc]simplify: iters left: 1 (67 enodes) 1550619465.010 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.010 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619465.010 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619465.010 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619465.010 * * [misc]simplify: Extracting #4: cost 13 inf + 46 1550619465.010 * * [misc]simplify: Extracting #5: cost 11 inf + 1133 1550619465.011 * * [misc]simplify: Extracting #6: cost 3 inf + 3545 1550619465.012 * * [misc]simplify: Extracting #7: cost 0 inf + 3590 1550619465.012 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (pow n (* k 1/2))) 1550619465.012 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt k) (pow n 1/2))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (pow n (* k 1/2)))))) 1550619465.012 * * * * [misc]progress: [ 245 / 327 ] simplifiying candidate # 1550619465.013 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619465.013 * * [misc]simplify: iters left: 6 (14 enodes) 1550619465.016 * * [misc]simplify: iters left: 5 (47 enodes) 1550619465.023 * * [misc]simplify: iters left: 4 (59 enodes) 1550619465.031 * * [misc]simplify: iters left: 3 (66 enodes) 1550619465.048 * * [misc]simplify: iters left: 2 (74 enodes) 1550619465.070 * * [misc]simplify: iters left: 1 (83 enodes) 1550619465.083 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.083 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619465.083 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550619465.083 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550619465.083 * * [misc]simplify: Extracting #4: cost 26 inf + 1 1550619465.083 * * [misc]simplify: Extracting #5: cost 28 inf + 45 1550619465.084 * * [misc]simplify: Extracting #6: cost 18 inf + 1045 1550619465.084 * * [misc]simplify: Extracting #7: cost 4 inf + 5433 1550619465.085 * * [misc]simplify: Extracting #8: cost 1 inf + 7374 1550619465.086 * * [misc]simplify: Extracting #9: cost 0 inf + 8118 1550619465.087 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) 1550619465.087 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619465.087 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619465.087 * * [misc]simplify: iters left: 6 (13 enodes) 1550619465.090 * * [misc]simplify: iters left: 5 (42 enodes) 1550619465.096 * * [misc]simplify: iters left: 4 (52 enodes) 1550619465.103 * * [misc]simplify: iters left: 3 (59 enodes) 1550619465.119 * * [misc]simplify: iters left: 2 (67 enodes) 1550619465.136 * * [misc]simplify: iters left: 1 (76 enodes) 1550619465.145 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.145 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619465.145 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619465.145 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619465.145 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1550619465.146 * * [misc]simplify: Extracting #5: cost 22 inf + 169 1550619465.146 * * [misc]simplify: Extracting #6: cost 14 inf + 1005 1550619465.146 * * [misc]simplify: Extracting #7: cost 4 inf + 3661 1550619465.147 * * [misc]simplify: Extracting #8: cost 0 inf + 5564 1550619465.147 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619465.147 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619465.148 * * * * [misc]progress: [ 246 / 327 ] simplifiying candidate # 1550619465.148 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619465.148 * * [misc]simplify: iters left: 6 (13 enodes) 1550619465.151 * * [misc]simplify: iters left: 5 (42 enodes) 1550619465.157 * * [misc]simplify: iters left: 4 (52 enodes) 1550619465.171 * * [misc]simplify: iters left: 3 (59 enodes) 1550619465.187 * * [misc]simplify: iters left: 2 (67 enodes) 1550619465.204 * * [misc]simplify: iters left: 1 (76 enodes) 1550619465.213 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.213 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619465.213 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619465.213 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619465.213 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1550619465.213 * * [misc]simplify: Extracting #5: cost 22 inf + 169 1550619465.214 * * [misc]simplify: Extracting #6: cost 14 inf + 1005 1550619465.214 * * [misc]simplify: Extracting #7: cost 4 inf + 3581 1550619465.215 * * [misc]simplify: Extracting #8: cost 0 inf + 5404 1550619465.215 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619465.215 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619465.215 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619465.216 * * [misc]simplify: iters left: 6 (13 enodes) 1550619465.220 * * [misc]simplify: iters left: 5 (42 enodes) 1550619465.231 * * [misc]simplify: iters left: 4 (52 enodes) 1550619465.245 * * [misc]simplify: iters left: 3 (59 enodes) 1550619465.253 * * [misc]simplify: iters left: 2 (67 enodes) 1550619465.263 * * [misc]simplify: iters left: 1 (76 enodes) 1550619465.273 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.273 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619465.273 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619465.273 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550619465.273 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1550619465.273 * * [misc]simplify: Extracting #5: cost 22 inf + 169 1550619465.273 * * [misc]simplify: Extracting #6: cost 14 inf + 1005 1550619465.274 * * [misc]simplify: Extracting #7: cost 4 inf + 3581 1550619465.275 * * [misc]simplify: Extracting #8: cost 0 inf + 5404 1550619465.276 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619465.276 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619465.277 * * * * [misc]progress: [ 247 / 327 ] simplifiying candidate # 1550619465.277 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619465.277 * * [misc]simplify: iters left: 6 (14 enodes) 1550619465.284 * * [misc]simplify: iters left: 5 (50 enodes) 1550619465.298 * * [misc]simplify: iters left: 4 (72 enodes) 1550619465.317 * * [misc]simplify: iters left: 3 (98 enodes) 1550619465.333 * * [misc]simplify: iters left: 2 (112 enodes) 1550619465.351 * * [misc]simplify: iters left: 1 (129 enodes) 1550619465.378 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.379 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619465.379 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550619465.379 * * [misc]simplify: Extracting #3: cost 34 inf + 84 1550619465.379 * * [misc]simplify: Extracting #4: cost 32 inf + 450 1550619465.379 * * [misc]simplify: Extracting #5: cost 28 inf + 2199 1550619465.380 * * [misc]simplify: Extracting #6: cost 13 inf + 5374 1550619465.381 * * [misc]simplify: Extracting #7: cost 1 inf + 11124 1550619465.383 * * [misc]simplify: Extracting #8: cost 0 inf + 11617 1550619465.384 * [exit]simplify: Simplified to (* (sqrt n) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1550619465.384 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt n) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619465.385 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619465.385 * * [misc]simplify: iters left: 6 (14 enodes) 1550619465.388 * * [misc]simplify: iters left: 5 (51 enodes) 1550619465.395 * * [misc]simplify: iters left: 4 (63 enodes) 1550619465.404 * * [misc]simplify: iters left: 3 (70 enodes) 1550619465.417 * * [misc]simplify: iters left: 2 (78 enodes) 1550619465.442 * * [misc]simplify: iters left: 1 (87 enodes) 1550619465.454 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.454 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619465.454 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619465.454 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619465.454 * * [misc]simplify: Extracting #4: cost 23 inf + 249 1550619465.454 * * [misc]simplify: Extracting #5: cost 14 inf + 1873 1550619465.455 * * [misc]simplify: Extracting #6: cost 5 inf + 5099 1550619465.455 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619465.456 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619465.457 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) 1550619465.457 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))))) 1550619465.457 * * * * [misc]progress: [ 248 / 327 ] simplifiying candidate # 1550619465.457 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619465.457 * * [misc]simplify: iters left: 6 (14 enodes) 1550619465.461 * * [misc]simplify: iters left: 5 (50 enodes) 1550619465.468 * * [misc]simplify: iters left: 4 (72 enodes) 1550619465.479 * * [misc]simplify: iters left: 3 (98 enodes) 1550619465.492 * * [misc]simplify: iters left: 2 (112 enodes) 1550619465.521 * * [misc]simplify: iters left: 1 (129 enodes) 1550619465.538 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.538 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619465.539 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550619465.539 * * [misc]simplify: Extracting #3: cost 34 inf + 84 1550619465.539 * * [misc]simplify: Extracting #4: cost 32 inf + 450 1550619465.540 * * [misc]simplify: Extracting #5: cost 28 inf + 2199 1550619465.541 * * [misc]simplify: Extracting #6: cost 13 inf + 5374 1550619465.544 * * [misc]simplify: Extracting #7: cost 1 inf + 11124 1550619465.547 * * [misc]simplify: Extracting #8: cost 0 inf + 11617 1550619465.550 * [exit]simplify: Simplified to (* (sqrt n) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1550619465.550 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt n) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619465.551 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619465.551 * * [misc]simplify: iters left: 6 (14 enodes) 1550619465.558 * * [misc]simplify: iters left: 5 (51 enodes) 1550619465.572 * * [misc]simplify: iters left: 4 (63 enodes) 1550619465.589 * * [misc]simplify: iters left: 3 (70 enodes) 1550619465.607 * * [misc]simplify: iters left: 2 (78 enodes) 1550619465.625 * * [misc]simplify: iters left: 1 (87 enodes) 1550619465.636 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.636 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619465.636 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619465.636 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619465.636 * * [misc]simplify: Extracting #4: cost 23 inf + 249 1550619465.636 * * [misc]simplify: Extracting #5: cost 14 inf + 1873 1550619465.637 * * [misc]simplify: Extracting #6: cost 5 inf + 5099 1550619465.638 * * [misc]simplify: Extracting #7: cost 1 inf + 7176 1550619465.638 * * [misc]simplify: Extracting #8: cost 0 inf + 7218 1550619465.639 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))) 1550619465.639 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))))) 1550619465.639 * * * * [misc]progress: [ 249 / 327 ] simplifiying candidate # 1550619465.639 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619465.640 * * [misc]simplify: iters left: 6 (16 enodes) 1550619465.643 * * [misc]simplify: iters left: 5 (59 enodes) 1550619465.654 * * [misc]simplify: iters left: 4 (98 enodes) 1550619465.682 * * [misc]simplify: iters left: 3 (142 enodes) 1550619465.704 * * [misc]simplify: iters left: 2 (180 enodes) 1550619465.738 * * [misc]simplify: iters left: 1 (222 enodes) 1550619465.772 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.772 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1550619465.773 * * [misc]simplify: Extracting #2: cost 54 inf + 0 1550619465.773 * * [misc]simplify: Extracting #3: cost 61 inf + 0 1550619465.773 * * [misc]simplify: Extracting #4: cost 59 inf + 447 1550619465.773 * * [misc]simplify: Extracting #5: cost 62 inf + 650 1550619465.774 * * [misc]simplify: Extracting #6: cost 47 inf + 3345 1550619465.776 * * [misc]simplify: Extracting #7: cost 25 inf + 14994 1550619465.780 * * [misc]simplify: Extracting #8: cost 2 inf + 29901 1550619465.785 * * [misc]simplify: Extracting #9: cost 0 inf + 31309 1550619465.794 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))) 1550619465.794 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619465.795 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619465.795 * * [misc]simplify: iters left: 6 (14 enodes) 1550619465.800 * * [misc]simplify: iters left: 5 (47 enodes) 1550619465.814 * * [misc]simplify: iters left: 4 (62 enodes) 1550619465.830 * * [misc]simplify: iters left: 3 (73 enodes) 1550619465.850 * * [misc]simplify: iters left: 2 (81 enodes) 1550619465.867 * * [misc]simplify: iters left: 1 (90 enodes) 1550619465.878 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.878 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619465.878 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619465.878 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619465.878 * * [misc]simplify: Extracting #4: cost 23 inf + 286 1550619465.878 * * [misc]simplify: Extracting #5: cost 27 inf + 328 1550619465.878 * * [misc]simplify: Extracting #6: cost 19 inf + 914 1550619465.879 * * [misc]simplify: Extracting #7: cost 5 inf + 5873 1550619465.880 * * [misc]simplify: Extracting #8: cost 0 inf + 8440 1550619465.881 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))) 1550619465.881 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619465.881 * * * * [misc]progress: [ 250 / 327 ] simplifiying candidate # 1550619465.881 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619465.881 * * [misc]simplify: iters left: 6 (15 enodes) 1550619465.885 * * [misc]simplify: iters left: 5 (52 enodes) 1550619465.892 * * [misc]simplify: iters left: 4 (74 enodes) 1550619465.909 * * [misc]simplify: iters left: 3 (100 enodes) 1550619465.923 * * [misc]simplify: iters left: 2 (114 enodes) 1550619465.943 * * [misc]simplify: iters left: 1 (131 enodes) 1550619465.974 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619465.974 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619465.975 * * [misc]simplify: Extracting #2: cost 32 inf + 0 1550619465.975 * * [misc]simplify: Extracting #3: cost 39 inf + 0 1550619465.975 * * [misc]simplify: Extracting #4: cost 36 inf + 528 1550619465.975 * * [misc]simplify: Extracting #5: cost 40 inf + 650 1550619465.976 * * [misc]simplify: Extracting #6: cost 25 inf + 4287 1550619465.979 * * [misc]simplify: Extracting #7: cost 5 inf + 12284 1550619465.982 * * [misc]simplify: Extracting #8: cost 0 inf + 15793 1550619465.986 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))) 1550619465.987 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619465.987 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619465.987 * * [misc]simplify: iters left: 6 (14 enodes) 1550619465.994 * * [misc]simplify: iters left: 5 (47 enodes) 1550619466.007 * * [misc]simplify: iters left: 4 (62 enodes) 1550619466.017 * * [misc]simplify: iters left: 3 (73 enodes) 1550619466.026 * * [misc]simplify: iters left: 2 (81 enodes) 1550619466.039 * * [misc]simplify: iters left: 1 (90 enodes) 1550619466.063 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.063 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619466.063 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619466.063 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619466.064 * * [misc]simplify: Extracting #4: cost 23 inf + 286 1550619466.064 * * [misc]simplify: Extracting #5: cost 27 inf + 328 1550619466.064 * * [misc]simplify: Extracting #6: cost 19 inf + 914 1550619466.066 * * [misc]simplify: Extracting #7: cost 5 inf + 5713 1550619466.067 * * [misc]simplify: Extracting #8: cost 0 inf + 8120 1550619466.069 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619466.069 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619466.069 * * * * [misc]progress: [ 251 / 327 ] simplifiying candidate # 1550619466.070 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1550619466.070 * * [misc]simplify: iters left: 6 (13 enodes) 1550619466.076 * * [misc]simplify: iters left: 5 (46 enodes) 1550619466.091 * * [misc]simplify: iters left: 4 (71 enodes) 1550619466.112 * * [misc]simplify: iters left: 3 (88 enodes) 1550619466.134 * * [misc]simplify: iters left: 2 (99 enodes) 1550619466.161 * * [misc]simplify: iters left: 1 (119 enodes) 1550619466.193 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.193 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1550619466.193 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550619466.193 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619466.193 * * [misc]simplify: Extracting #4: cost 26 inf + 206 1550619466.194 * * [misc]simplify: Extracting #5: cost 24 inf + 1057 1550619466.196 * * [misc]simplify: Extracting #6: cost 14 inf + 2458 1550619466.198 * * [misc]simplify: Extracting #7: cost 3 inf + 5876 1550619466.201 * * [misc]simplify: Extracting #8: cost 0 inf + 7435 1550619466.203 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619466.203 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619466.204 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619466.204 * * [misc]simplify: iters left: 6 (13 enodes) 1550619466.210 * * [misc]simplify: iters left: 5 (44 enodes) 1550619466.218 * * [misc]simplify: iters left: 4 (59 enodes) 1550619466.227 * * [misc]simplify: iters left: 3 (70 enodes) 1550619466.236 * * [misc]simplify: iters left: 2 (78 enodes) 1550619466.249 * * [misc]simplify: iters left: 1 (87 enodes) 1550619466.269 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.269 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619466.269 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619466.269 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619466.270 * * [misc]simplify: Extracting #4: cost 26 inf + 207 1550619466.270 * * [misc]simplify: Extracting #5: cost 19 inf + 870 1550619466.271 * * [misc]simplify: Extracting #6: cost 3 inf + 5433 1550619466.273 * * [misc]simplify: Extracting #7: cost 0 inf + 7214 1550619466.274 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))) 1550619466.274 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* k 1/2)))))))) 1550619466.275 * * * * [misc]progress: [ 252 / 327 ] simplifiying candidate # 1550619466.275 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619466.275 * * [misc]simplify: iters left: 6 (13 enodes) 1550619466.279 * * [misc]simplify: iters left: 5 (45 enodes) 1550619466.285 * * [misc]simplify: iters left: 4 (60 enodes) 1550619466.294 * * [misc]simplify: iters left: 3 (71 enodes) 1550619466.305 * * [misc]simplify: iters left: 2 (79 enodes) 1550619466.327 * * [misc]simplify: iters left: 1 (88 enodes) 1550619466.347 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.347 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619466.347 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619466.347 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550619466.348 * * [misc]simplify: Extracting #4: cost 20 inf + 127 1550619466.348 * * [misc]simplify: Extracting #5: cost 18 inf + 911 1550619466.349 * * [misc]simplify: Extracting #6: cost 6 inf + 4094 1550619466.350 * * [misc]simplify: Extracting #7: cost 1 inf + 5166 1550619466.352 * * [misc]simplify: Extracting #8: cost 0 inf + 5208 1550619466.353 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))) 1550619466.353 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619466.354 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619466.354 * * [misc]simplify: iters left: 6 (14 enodes) 1550619466.360 * * [misc]simplify: iters left: 5 (51 enodes) 1550619466.375 * * [misc]simplify: iters left: 4 (63 enodes) 1550619466.388 * * [misc]simplify: iters left: 3 (70 enodes) 1550619466.398 * * [misc]simplify: iters left: 2 (78 enodes) 1550619466.409 * * [misc]simplify: iters left: 1 (87 enodes) 1550619466.428 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.429 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619466.429 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619466.429 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619466.429 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1550619466.429 * * [misc]simplify: Extracting #5: cost 14 inf + 1753 1550619466.430 * * [misc]simplify: Extracting #6: cost 5 inf + 4819 1550619466.430 * * [misc]simplify: Extracting #7: cost 1 inf + 6856 1550619466.431 * * [misc]simplify: Extracting #8: cost 0 inf + 6898 1550619466.432 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) 1550619466.432 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n 1/2))) (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))) 1550619466.432 * * * * [misc]progress: [ 253 / 327 ] simplifiying candidate # 1550619466.432 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619466.432 * * [misc]simplify: iters left: 6 (13 enodes) 1550619466.435 * * [misc]simplify: iters left: 5 (45 enodes) 1550619466.442 * * [misc]simplify: iters left: 4 (60 enodes) 1550619466.451 * * [misc]simplify: iters left: 3 (71 enodes) 1550619466.460 * * [misc]simplify: iters left: 2 (79 enodes) 1550619466.471 * * [misc]simplify: iters left: 1 (88 enodes) 1550619466.487 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.487 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619466.487 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619466.487 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550619466.487 * * [misc]simplify: Extracting #4: cost 20 inf + 127 1550619466.488 * * [misc]simplify: Extracting #5: cost 18 inf + 911 1550619466.489 * * [misc]simplify: Extracting #6: cost 6 inf + 4094 1550619466.490 * * [misc]simplify: Extracting #7: cost 1 inf + 5166 1550619466.491 * * [misc]simplify: Extracting #8: cost 0 inf + 5208 1550619466.493 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))) 1550619466.493 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619466.493 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619466.494 * * [misc]simplify: iters left: 6 (14 enodes) 1550619466.500 * * [misc]simplify: iters left: 5 (51 enodes) 1550619466.508 * * [misc]simplify: iters left: 4 (63 enodes) 1550619466.518 * * [misc]simplify: iters left: 3 (70 enodes) 1550619466.527 * * [misc]simplify: iters left: 2 (78 enodes) 1550619466.547 * * [misc]simplify: iters left: 1 (87 enodes) 1550619466.562 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.562 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619466.562 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619466.562 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1550619466.562 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1550619466.562 * * [misc]simplify: Extracting #5: cost 14 inf + 1753 1550619466.563 * * [misc]simplify: Extracting #6: cost 5 inf + 4819 1550619466.564 * * [misc]simplify: Extracting #7: cost 1 inf + 6856 1550619466.564 * * [misc]simplify: Extracting #8: cost 0 inf + 6898 1550619466.565 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) 1550619466.565 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n 1/2))) (* (pow n (* k -1/2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))) 1550619466.565 * * * * [misc]progress: [ 254 / 327 ] simplifiying candidate # 1550619466.566 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619466.566 * * [misc]simplify: iters left: 6 (15 enodes) 1550619466.569 * * [misc]simplify: iters left: 5 (52 enodes) 1550619466.577 * * [misc]simplify: iters left: 4 (73 enodes) 1550619466.588 * * [misc]simplify: iters left: 3 (92 enodes) 1550619466.606 * * [misc]simplify: iters left: 2 (108 enodes) 1550619466.627 * * [misc]simplify: iters left: 1 (123 enodes) 1550619466.642 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.642 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1550619466.642 * * [misc]simplify: Extracting #2: cost 29 inf + 0 1550619466.642 * * [misc]simplify: Extracting #3: cost 36 inf + 0 1550619466.642 * * [misc]simplify: Extracting #4: cost 35 inf + 166 1550619466.643 * * [misc]simplify: Extracting #5: cost 39 inf + 248 1550619466.643 * * [misc]simplify: Extracting #6: cost 24 inf + 3234 1550619466.644 * * [misc]simplify: Extracting #7: cost 7 inf + 10505 1550619466.647 * * [misc]simplify: Extracting #8: cost 0 inf + 15542 1550619466.651 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2))))))) 1550619466.651 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2))))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619466.652 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619466.652 * * [misc]simplify: iters left: 6 (14 enodes) 1550619466.658 * * [misc]simplify: iters left: 5 (47 enodes) 1550619466.672 * * [misc]simplify: iters left: 4 (62 enodes) 1550619466.690 * * [misc]simplify: iters left: 3 (73 enodes) 1550619466.708 * * [misc]simplify: iters left: 2 (81 enodes) 1550619466.730 * * [misc]simplify: iters left: 1 (90 enodes) 1550619466.742 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.742 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619466.742 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619466.742 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619466.742 * * [misc]simplify: Extracting #4: cost 23 inf + 206 1550619466.742 * * [misc]simplify: Extracting #5: cost 27 inf + 248 1550619466.743 * * [misc]simplify: Extracting #6: cost 19 inf + 834 1550619466.743 * * [misc]simplify: Extracting #7: cost 5 inf + 5593 1550619466.744 * * [misc]simplify: Extracting #8: cost 0 inf + 8120 1550619466.745 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2))))) 1550619466.745 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (* k 1/2)))))))) 1550619466.745 * * * * [misc]progress: [ 255 / 327 ] simplifiying candidate # 1550619466.745 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619466.745 * * [misc]simplify: iters left: 6 (14 enodes) 1550619466.749 * * [misc]simplify: iters left: 5 (47 enodes) 1550619466.756 * * [misc]simplify: iters left: 4 (62 enodes) 1550619466.765 * * [misc]simplify: iters left: 3 (73 enodes) 1550619466.774 * * [misc]simplify: iters left: 2 (81 enodes) 1550619466.786 * * [misc]simplify: iters left: 1 (90 enodes) 1550619466.798 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.798 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619466.798 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619466.798 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619466.798 * * [misc]simplify: Extracting #4: cost 23 inf + 206 1550619466.799 * * [misc]simplify: Extracting #5: cost 27 inf + 248 1550619466.799 * * [misc]simplify: Extracting #6: cost 19 inf + 834 1550619466.800 * * [misc]simplify: Extracting #7: cost 5 inf + 5433 1550619466.802 * * [misc]simplify: Extracting #8: cost 0 inf + 7800 1550619466.804 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619466.804 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619466.804 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619466.805 * * [misc]simplify: iters left: 6 (14 enodes) 1550619466.811 * * [misc]simplify: iters left: 5 (47 enodes) 1550619466.827 * * [misc]simplify: iters left: 4 (62 enodes) 1550619466.844 * * [misc]simplify: iters left: 3 (73 enodes) 1550619466.860 * * [misc]simplify: iters left: 2 (81 enodes) 1550619466.872 * * [misc]simplify: iters left: 1 (90 enodes) 1550619466.883 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.883 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619466.883 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619466.883 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550619466.883 * * [misc]simplify: Extracting #4: cost 23 inf + 206 1550619466.883 * * [misc]simplify: Extracting #5: cost 27 inf + 248 1550619466.883 * * [misc]simplify: Extracting #6: cost 19 inf + 834 1550619466.884 * * [misc]simplify: Extracting #7: cost 5 inf + 5433 1550619466.884 * * [misc]simplify: Extracting #8: cost 0 inf + 7800 1550619466.885 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2))))) 1550619466.885 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2)))))))) 1550619466.886 * * * * [misc]progress: [ 256 / 327 ] simplifiying candidate # 1550619466.886 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) 1)) 1550619466.886 * * [misc]simplify: iters left: 6 (12 enodes) 1550619466.889 * * [misc]simplify: iters left: 5 (41 enodes) 1550619466.899 * * [misc]simplify: iters left: 4 (55 enodes) 1550619466.907 * * [misc]simplify: iters left: 3 (64 enodes) 1550619466.916 * * [misc]simplify: iters left: 2 (69 enodes) 1550619466.930 * * [misc]simplify: iters left: 1 (78 enodes) 1550619466.948 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619466.948 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619466.948 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1550619466.948 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619466.949 * * [misc]simplify: Extracting #4: cost 16 inf + 85 1550619466.949 * * [misc]simplify: Extracting #5: cost 17 inf + 251 1550619466.949 * * [misc]simplify: Extracting #6: cost 9 inf + 997 1550619466.950 * * [misc]simplify: Extracting #7: cost 2 inf + 2945 1550619466.951 * * [misc]simplify: Extracting #8: cost 0 inf + 3811 1550619466.952 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) 1550619466.952 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619466.953 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619466.953 * * [misc]simplify: iters left: 6 (13 enodes) 1550619466.958 * * [misc]simplify: iters left: 5 (44 enodes) 1550619466.964 * * [misc]simplify: iters left: 4 (59 enodes) 1550619466.973 * * [misc]simplify: iters left: 3 (70 enodes) 1550619466.983 * * [misc]simplify: iters left: 2 (78 enodes) 1550619467.004 * * [misc]simplify: iters left: 1 (87 enodes) 1550619467.015 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.015 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619467.015 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619467.015 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619467.015 * * [misc]simplify: Extracting #4: cost 26 inf + 167 1550619467.015 * * [misc]simplify: Extracting #5: cost 19 inf + 790 1550619467.016 * * [misc]simplify: Extracting #6: cost 3 inf + 5193 1550619467.017 * * [misc]simplify: Extracting #7: cost 0 inf + 6894 1550619467.017 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* k 1/2))))) 1550619467.018 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* k 1/2)))))))) 1550619467.018 * * * * [misc]progress: [ 257 / 327 ] simplifiying candidate # 1550619467.018 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n 1/2))) 1550619467.018 * * [misc]simplify: iters left: 6 (12 enodes) 1550619467.021 * * [misc]simplify: iters left: 5 (44 enodes) 1550619467.030 * * [misc]simplify: iters left: 4 (57 enodes) 1550619467.038 * * [misc]simplify: iters left: 3 (70 enodes) 1550619467.047 * * [misc]simplify: iters left: 2 (75 enodes) 1550619467.058 * * [misc]simplify: iters left: 1 (84 enodes) 1550619467.068 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.068 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619467.068 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619467.068 * * [misc]simplify: Extracting #3: cost 13 inf + 44 1550619467.068 * * [misc]simplify: Extracting #4: cost 13 inf + 250 1550619467.068 * * [misc]simplify: Extracting #5: cost 19 inf + 250 1550619467.068 * * [misc]simplify: Extracting #6: cost 10 inf + 878 1550619467.069 * * [misc]simplify: Extracting #7: cost 1 inf + 3204 1550619467.069 * * [misc]simplify: Extracting #8: cost 0 inf + 3578 1550619467.070 * [exit]simplify: Simplified to (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) 1550619467.070 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619467.070 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619467.070 * * [misc]simplify: iters left: 6 (13 enodes) 1550619467.074 * * [misc]simplify: iters left: 5 (48 enodes) 1550619467.081 * * [misc]simplify: iters left: 4 (60 enodes) 1550619467.093 * * [misc]simplify: iters left: 3 (67 enodes) 1550619467.110 * * [misc]simplify: iters left: 2 (75 enodes) 1550619467.134 * * [misc]simplify: iters left: 1 (84 enodes) 1550619467.153 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.153 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619467.153 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619467.153 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1550619467.154 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619467.154 * * [misc]simplify: Extracting #5: cost 13 inf + 2084 1550619467.155 * * [misc]simplify: Extracting #6: cost 4 inf + 5082 1550619467.156 * * [misc]simplify: Extracting #7: cost 0 inf + 6496 1550619467.158 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))) 1550619467.158 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2))))))) 1550619467.158 * * * * [misc]progress: [ 258 / 327 ] simplifiying candidate # 1550619467.158 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n 1/2))) 1550619467.159 * * [misc]simplify: iters left: 6 (12 enodes) 1550619467.164 * * [misc]simplify: iters left: 5 (44 enodes) 1550619467.178 * * [misc]simplify: iters left: 4 (57 enodes) 1550619467.195 * * [misc]simplify: iters left: 3 (70 enodes) 1550619467.213 * * [misc]simplify: iters left: 2 (75 enodes) 1550619467.233 * * [misc]simplify: iters left: 1 (84 enodes) 1550619467.251 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.251 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619467.251 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619467.251 * * [misc]simplify: Extracting #3: cost 13 inf + 44 1550619467.251 * * [misc]simplify: Extracting #4: cost 13 inf + 250 1550619467.251 * * [misc]simplify: Extracting #5: cost 19 inf + 250 1550619467.252 * * [misc]simplify: Extracting #6: cost 10 inf + 878 1550619467.253 * * [misc]simplify: Extracting #7: cost 1 inf + 3204 1550619467.254 * * [misc]simplify: Extracting #8: cost 0 inf + 3578 1550619467.255 * [exit]simplify: Simplified to (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) 1550619467.255 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619467.255 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619467.255 * * [misc]simplify: iters left: 6 (13 enodes) 1550619467.261 * * [misc]simplify: iters left: 5 (48 enodes) 1550619467.276 * * [misc]simplify: iters left: 4 (60 enodes) 1550619467.290 * * [misc]simplify: iters left: 3 (67 enodes) 1550619467.299 * * [misc]simplify: iters left: 2 (75 enodes) 1550619467.309 * * [misc]simplify: iters left: 1 (84 enodes) 1550619467.319 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.319 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619467.320 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619467.320 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1550619467.320 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619467.320 * * [misc]simplify: Extracting #5: cost 13 inf + 2084 1550619467.320 * * [misc]simplify: Extracting #6: cost 4 inf + 5082 1550619467.321 * * [misc]simplify: Extracting #7: cost 0 inf + 6496 1550619467.322 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2)))) 1550619467.322 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (* k -1/2))))))) 1550619467.322 * * * * [misc]progress: [ 259 / 327 ] simplifiying candidate # 1550619467.322 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619467.322 * * [misc]simplify: iters left: 6 (14 enodes) 1550619467.327 * * [misc]simplify: iters left: 5 (51 enodes) 1550619467.342 * * [misc]simplify: iters left: 4 (70 enodes) 1550619467.352 * * [misc]simplify: iters left: 3 (91 enodes) 1550619467.365 * * [misc]simplify: iters left: 2 (104 enodes) 1550619467.382 * * [misc]simplify: iters left: 1 (135 enodes) 1550619467.410 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.410 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619467.410 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1550619467.410 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550619467.411 * * [misc]simplify: Extracting #4: cost 28 inf + 3 1550619467.411 * * [misc]simplify: Extracting #5: cost 33 inf + 4 1550619467.411 * * [misc]simplify: Extracting #6: cost 22 inf + 1087 1550619467.412 * * [misc]simplify: Extracting #7: cost 10 inf + 4993 1550619467.415 * * [misc]simplify: Extracting #8: cost 0 inf + 10544 1550619467.418 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619467.418 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2)))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619467.419 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619467.419 * * [misc]simplify: iters left: 6 (13 enodes) 1550619467.424 * * [misc]simplify: iters left: 5 (44 enodes) 1550619467.433 * * [misc]simplify: iters left: 4 (59 enodes) 1550619467.441 * * [misc]simplify: iters left: 3 (70 enodes) 1550619467.451 * * [misc]simplify: iters left: 2 (78 enodes) 1550619467.477 * * [misc]simplify: iters left: 1 (87 enodes) 1550619467.497 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.497 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619467.497 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619467.497 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550619467.497 * * [misc]simplify: Extracting #4: cost 22 inf + 85 1550619467.497 * * [misc]simplify: Extracting #5: cost 27 inf + 86 1550619467.497 * * [misc]simplify: Extracting #6: cost 20 inf + 921 1550619467.498 * * [misc]simplify: Extracting #7: cost 3 inf + 5937 1550619467.499 * * [misc]simplify: Extracting #8: cost 0 inf + 7718 1550619467.499 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* k 1/2)))))) 1550619467.499 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* k 1/2))))))))) 1550619467.500 * * * * [misc]progress: [ 260 / 327 ] simplifiying candidate # 1550619467.500 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619467.500 * * [misc]simplify: iters left: 6 (13 enodes) 1550619467.503 * * [misc]simplify: iters left: 5 (46 enodes) 1550619467.510 * * [misc]simplify: iters left: 4 (59 enodes) 1550619467.519 * * [misc]simplify: iters left: 3 (72 enodes) 1550619467.532 * * [misc]simplify: iters left: 2 (77 enodes) 1550619467.553 * * [misc]simplify: iters left: 1 (86 enodes) 1550619467.572 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.572 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619467.572 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619467.572 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619467.572 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1550619467.572 * * [misc]simplify: Extracting #5: cost 25 inf + 4 1550619467.573 * * [misc]simplify: Extracting #6: cost 15 inf + 1045 1550619467.574 * * [misc]simplify: Extracting #7: cost 4 inf + 4297 1550619467.576 * * [misc]simplify: Extracting #8: cost 0 inf + 5752 1550619467.577 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) 1550619467.577 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619467.578 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619467.578 * * [misc]simplify: iters left: 6 (13 enodes) 1550619467.584 * * [misc]simplify: iters left: 5 (44 enodes) 1550619467.598 * * [misc]simplify: iters left: 4 (59 enodes) 1550619467.612 * * [misc]simplify: iters left: 3 (70 enodes) 1550619467.621 * * [misc]simplify: iters left: 2 (78 enodes) 1550619467.632 * * [misc]simplify: iters left: 1 (87 enodes) 1550619467.644 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.644 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619467.644 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550619467.644 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550619467.644 * * [misc]simplify: Extracting #4: cost 22 inf + 85 1550619467.645 * * [misc]simplify: Extracting #5: cost 27 inf + 86 1550619467.645 * * [misc]simplify: Extracting #6: cost 20 inf + 921 1550619467.646 * * [misc]simplify: Extracting #7: cost 3 inf + 5697 1550619467.648 * * [misc]simplify: Extracting #8: cost 0 inf + 7398 1550619467.649 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* k 1/2)))))) 1550619467.649 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* k 1/2))))))))) 1550619467.650 * * * * [misc]progress: [ 261 / 327 ] simplifiying candidate # 1550619467.650 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 1)) 1550619467.650 * * [misc]simplify: iters left: 6 (10 enodes) 1550619467.655 * * [misc]simplify: iters left: 5 (33 enodes) 1550619467.666 * * [misc]simplify: iters left: 4 (45 enodes) 1550619467.678 * * [misc]simplify: iters left: 3 (53 enodes) 1550619467.691 * * [misc]simplify: iters left: 2 (57 enodes) 1550619467.706 * * [misc]simplify: iters left: 1 (64 enodes) 1550619467.722 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.722 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619467.722 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619467.722 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550619467.722 * * [misc]simplify: Extracting #4: cost 15 inf + 3 1550619467.723 * * [misc]simplify: Extracting #5: cost 9 inf + 214 1550619467.723 * * [misc]simplify: Extracting #6: cost 0 inf + 1755 1550619467.724 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (* k 1/2)))) 1550619467.724 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619467.724 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619467.724 * * [misc]simplify: iters left: 6 (12 enodes) 1550619467.727 * * [misc]simplify: iters left: 5 (41 enodes) 1550619467.734 * * [misc]simplify: iters left: 4 (56 enodes) 1550619467.741 * * [misc]simplify: iters left: 3 (67 enodes) 1550619467.750 * * [misc]simplify: iters left: 2 (75 enodes) 1550619467.765 * * [misc]simplify: iters left: 1 (84 enodes) 1550619467.785 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.785 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619467.785 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619467.785 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619467.785 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619467.785 * * [misc]simplify: Extracting #5: cost 16 inf + 1467 1550619467.786 * * [misc]simplify: Extracting #6: cost 4 inf + 4789 1550619467.788 * * [misc]simplify: Extracting #7: cost 0 inf + 6492 1550619467.789 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619467.789 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 1)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619467.789 * * * * [misc]progress: [ 262 / 327 ] simplifiying candidate # 1550619467.790 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) 1) 1550619467.790 * * [misc]simplify: iters left: 6 (9 enodes) 1550619467.794 * * [misc]simplify: iters left: 5 (30 enodes) 1550619467.804 * * [misc]simplify: iters left: 4 (42 enodes) 1550619467.812 * * [misc]simplify: iters left: 3 (48 enodes) 1550619467.819 * * [misc]simplify: iters left: 2 (52 enodes) 1550619467.829 * * [misc]simplify: iters left: 1 (59 enodes) 1550619467.836 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.836 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619467.836 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619467.836 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550619467.836 * * [misc]simplify: Extracting #4: cost 15 inf + 3 1550619467.836 * * [misc]simplify: Extracting #5: cost 9 inf + 214 1550619467.837 * * [misc]simplify: Extracting #6: cost 4 inf + 714 1550619467.837 * * [misc]simplify: Extracting #7: cost 0 inf + 1755 1550619467.838 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (* k 1/2)))) 1550619467.838 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619467.838 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619467.839 * * [misc]simplify: iters left: 6 (12 enodes) 1550619467.844 * * [misc]simplify: iters left: 5 (41 enodes) 1550619467.857 * * [misc]simplify: iters left: 4 (56 enodes) 1550619467.872 * * [misc]simplify: iters left: 3 (67 enodes) 1550619467.890 * * [misc]simplify: iters left: 2 (75 enodes) 1550619467.911 * * [misc]simplify: iters left: 1 (84 enodes) 1550619467.924 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.924 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619467.924 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619467.924 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619467.924 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619467.925 * * [misc]simplify: Extracting #5: cost 16 inf + 1467 1550619467.925 * * [misc]simplify: Extracting #6: cost 4 inf + 4789 1550619467.926 * * [misc]simplify: Extracting #7: cost 0 inf + 6492 1550619467.926 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619467.926 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) 1) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619467.927 * * * * [misc]progress: [ 263 / 327 ] simplifiying candidate # 1550619467.927 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) 1550619467.927 * * [misc]simplify: iters left: 6 (9 enodes) 1550619467.929 * * [misc]simplify: iters left: 5 (30 enodes) 1550619467.934 * * [misc]simplify: iters left: 4 (40 enodes) 1550619467.941 * * [misc]simplify: iters left: 3 (47 enodes) 1550619467.951 * * [misc]simplify: iters left: 2 (55 enodes) 1550619467.967 * * [misc]simplify: iters left: 1 (64 enodes) 1550619467.983 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619467.983 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619467.983 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619467.983 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550619467.983 * * [misc]simplify: Extracting #4: cost 12 inf + 84 1550619467.984 * * [misc]simplify: Extracting #5: cost 15 inf + 209 1550619467.984 * * [misc]simplify: Extracting #6: cost 9 inf + 711 1550619467.985 * * [misc]simplify: Extracting #7: cost 1 inf + 2330 1550619467.985 * * [misc]simplify: Extracting #8: cost 0 inf + 2663 1550619467.986 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) 1550619467.986 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n (- 1/2 (* 1/2 k)))))))) 1550619467.987 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619467.987 * * [misc]simplify: iters left: 6 (12 enodes) 1550619467.992 * * [misc]simplify: iters left: 5 (43 enodes) 1550619468.005 * * [misc]simplify: iters left: 4 (56 enodes) 1550619468.014 * * [misc]simplify: iters left: 3 (69 enodes) 1550619468.023 * * [misc]simplify: iters left: 2 (74 enodes) 1550619468.035 * * [misc]simplify: iters left: 1 (83 enodes) 1550619468.053 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.053 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619468.053 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619468.053 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550619468.053 * * [misc]simplify: Extracting #4: cost 23 inf + 4 1550619468.054 * * [misc]simplify: Extracting #5: cost 12 inf + 1007 1550619468.055 * * [misc]simplify: Extracting #6: cost 1 inf + 4592 1550619468.056 * * [misc]simplify: Extracting #7: cost 0 inf + 4926 1550619468.057 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (sqrt (pow PI (- 1/2 (* k 1/2))))) 1550619468.057 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) (* (pow n (- 1/2 (* k 1/2))) (sqrt (pow PI (- 1/2 (* k 1/2)))))))) 1550619468.058 * * * * [misc]progress: [ 264 / 327 ] simplifiying candidate # 1550619468.058 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n 1/2))) 1550619468.058 * * [misc]simplify: iters left: 6 (12 enodes) 1550619468.065 * * [misc]simplify: iters left: 5 (42 enodes) 1550619468.077 * * [misc]simplify: iters left: 4 (57 enodes) 1550619468.093 * * [misc]simplify: iters left: 3 (68 enodes) 1550619468.102 * * [misc]simplify: iters left: 2 (76 enodes) 1550619468.113 * * [misc]simplify: iters left: 1 (85 enodes) 1550619468.123 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.123 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619468.123 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619468.123 * * [misc]simplify: Extracting #3: cost 16 inf + 85 1550619468.123 * * [misc]simplify: Extracting #4: cost 15 inf + 412 1550619468.123 * * [misc]simplify: Extracting #5: cost 17 inf + 911 1550619468.124 * * [misc]simplify: Extracting #6: cost 3 inf + 3858 1550619468.124 * * [misc]simplify: Extracting #7: cost 0 inf + 4806 1550619468.125 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt k)) 1550619468.125 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (* (sqrt n) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (pow n (* 1/2 k)))))) 1550619468.126 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (pow n (* 1/2 k))) 1550619468.126 * * [misc]simplify: iters left: 6 (10 enodes) 1550619468.128 * * [misc]simplify: iters left: 5 (33 enodes) 1550619468.134 * * [misc]simplify: iters left: 4 (43 enodes) 1550619468.146 * * [misc]simplify: iters left: 3 (50 enodes) 1550619468.154 * * [misc]simplify: iters left: 2 (58 enodes) 1550619468.165 * * [misc]simplify: iters left: 1 (67 enodes) 1550619468.173 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.173 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619468.173 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619468.173 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550619468.173 * * [misc]simplify: Extracting #4: cost 13 inf + 46 1550619468.173 * * [misc]simplify: Extracting #5: cost 11 inf + 1133 1550619468.173 * * [misc]simplify: Extracting #6: cost 3 inf + 3385 1550619468.174 * * [misc]simplify: Extracting #7: cost 0 inf + 3430 1550619468.174 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (pow n (* k 1/2))) 1550619468.174 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow n 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (pow n (* k 1/2)))))) 1550619468.174 * * * * [misc]progress: [ 265 / 327 ] simplifiying candidate # 1550619468.175 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619468.175 * * [misc]simplify: iters left: 6 (12 enodes) 1550619468.178 * * [misc]simplify: iters left: 5 (43 enodes) 1550619468.188 * * [misc]simplify: iters left: 4 (57 enodes) 1550619468.204 * * [misc]simplify: iters left: 3 (63 enodes) 1550619468.215 * * [misc]simplify: iters left: 2 (67 enodes) 1550619468.225 * * [misc]simplify: iters left: 1 (74 enodes) 1550619468.234 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.234 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619468.234 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619468.235 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1550619468.235 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1550619468.235 * * [misc]simplify: Extracting #5: cost 20 inf + 3 1550619468.235 * * [misc]simplify: Extracting #6: cost 20 inf + 170 1550619468.235 * * [misc]simplify: Extracting #7: cost 9 inf + 2287 1550619468.236 * * [misc]simplify: Extracting #8: cost 2 inf + 4878 1550619468.236 * * [misc]simplify: Extracting #9: cost 0 inf + 5865 1550619468.238 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619468.238 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619468.238 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619468.238 * * [misc]simplify: iters left: 6 (12 enodes) 1550619468.244 * * [misc]simplify: iters left: 5 (39 enodes) 1550619468.255 * * [misc]simplify: iters left: 4 (49 enodes) 1550619468.267 * * [misc]simplify: iters left: 3 (56 enodes) 1550619468.277 * * [misc]simplify: iters left: 2 (64 enodes) 1550619468.287 * * [misc]simplify: iters left: 1 (73 enodes) 1550619468.296 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.296 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619468.296 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619468.296 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550619468.296 * * [misc]simplify: Extracting #4: cost 25 inf + 2 1550619468.297 * * [misc]simplify: Extracting #5: cost 10 inf + 1671 1550619468.298 * * [misc]simplify: Extracting #6: cost 0 inf + 4818 1550619468.299 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619468.299 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619468.299 * * * * [misc]progress: [ 266 / 327 ] simplifiying candidate # 1550619468.299 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619468.300 * * [misc]simplify: iters left: 6 (11 enodes) 1550619468.305 * * [misc]simplify: iters left: 5 (38 enodes) 1550619468.316 * * [misc]simplify: iters left: 4 (50 enodes) 1550619468.330 * * [misc]simplify: iters left: 3 (56 enodes) 1550619468.337 * * [misc]simplify: iters left: 2 (60 enodes) 1550619468.347 * * [misc]simplify: iters left: 1 (67 enodes) 1550619468.355 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.355 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619468.355 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619468.355 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1550619468.355 * * [misc]simplify: Extracting #4: cost 13 inf + 1 1550619468.355 * * [misc]simplify: Extracting #5: cost 16 inf + 3 1550619468.355 * * [misc]simplify: Extracting #6: cost 13 inf + 671 1550619468.355 * * [misc]simplify: Extracting #7: cost 4 inf + 2330 1550619468.356 * * [misc]simplify: Extracting #8: cost 0 inf + 3651 1550619468.356 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619468.356 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))))) 1550619468.357 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) 1550619468.357 * * [misc]simplify: iters left: 6 (12 enodes) 1550619468.362 * * [misc]simplify: iters left: 5 (39 enodes) 1550619468.373 * * [misc]simplify: iters left: 4 (49 enodes) 1550619468.381 * * [misc]simplify: iters left: 3 (56 enodes) 1550619468.389 * * [misc]simplify: iters left: 2 (64 enodes) 1550619468.399 * * [misc]simplify: iters left: 1 (73 enodes) 1550619468.411 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.412 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619468.412 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619468.412 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550619468.412 * * [misc]simplify: Extracting #4: cost 25 inf + 2 1550619468.412 * * [misc]simplify: Extracting #5: cost 10 inf + 1671 1550619468.413 * * [misc]simplify: Extracting #6: cost 0 inf + 4658 1550619468.414 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))) 1550619468.414 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))))))) 1550619468.414 * * * * [misc]progress: [ 267 / 327 ] simplifiying candidate # 1550619468.415 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619468.415 * * [misc]simplify: iters left: 6 (10 enodes) 1550619468.420 * * [misc]simplify: iters left: 5 (37 enodes) 1550619468.431 * * [misc]simplify: iters left: 4 (51 enodes) 1550619468.446 * * [misc]simplify: iters left: 3 (66 enodes) 1550619468.467 * * [misc]simplify: iters left: 2 (91 enodes) 1550619468.495 * * [misc]simplify: iters left: 1 (95 enodes) 1550619468.520 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.521 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619468.521 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550619468.521 * * [misc]simplify: Extracting #3: cost 20 inf + 44 1550619468.521 * * [misc]simplify: Extracting #4: cost 18 inf + 86 1550619468.522 * * [misc]simplify: Extracting #5: cost 8 inf + 1621 1550619468.523 * * [misc]simplify: Extracting #6: cost 0 inf + 3236 1550619468.524 * [exit]simplify: Simplified to (/ (sqrt n) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619468.524 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619468.525 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619468.525 * * [misc]simplify: iters left: 6 (13 enodes) 1550619468.531 * * [misc]simplify: iters left: 5 (48 enodes) 1550619468.545 * * [misc]simplify: iters left: 4 (60 enodes) 1550619468.561 * * [misc]simplify: iters left: 3 (67 enodes) 1550619468.578 * * [misc]simplify: iters left: 2 (75 enodes) 1550619468.599 * * [misc]simplify: iters left: 1 (84 enodes) 1550619468.619 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.619 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619468.619 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619468.619 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619468.619 * * [misc]simplify: Extracting #4: cost 21 inf + 452 1550619468.620 * * [misc]simplify: Extracting #5: cost 10 inf + 2487 1550619468.621 * * [misc]simplify: Extracting #6: cost 2 inf + 4982 1550619468.623 * * [misc]simplify: Extracting #7: cost 0 inf + 6312 1550619468.624 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))) 1550619468.624 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))) 1550619468.624 * * * * [misc]progress: [ 268 / 327 ] simplifiying candidate # 1550619468.625 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) 1550619468.625 * * [misc]simplify: iters left: 6 (10 enodes) 1550619468.629 * * [misc]simplify: iters left: 5 (37 enodes) 1550619468.635 * * [misc]simplify: iters left: 4 (51 enodes) 1550619468.645 * * [misc]simplify: iters left: 3 (66 enodes) 1550619468.656 * * [misc]simplify: iters left: 2 (91 enodes) 1550619468.682 * * [misc]simplify: iters left: 1 (95 enodes) 1550619468.707 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.707 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619468.707 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550619468.707 * * [misc]simplify: Extracting #3: cost 20 inf + 44 1550619468.707 * * [misc]simplify: Extracting #4: cost 18 inf + 86 1550619468.708 * * [misc]simplify: Extracting #5: cost 8 inf + 1621 1550619468.709 * * [misc]simplify: Extracting #6: cost 0 inf + 3236 1550619468.711 * [exit]simplify: Simplified to (/ (sqrt n) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619468.711 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619468.711 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619468.711 * * [misc]simplify: iters left: 6 (13 enodes) 1550619468.718 * * [misc]simplify: iters left: 5 (48 enodes) 1550619468.732 * * [misc]simplify: iters left: 4 (60 enodes) 1550619468.747 * * [misc]simplify: iters left: 3 (67 enodes) 1550619468.767 * * [misc]simplify: iters left: 2 (75 enodes) 1550619468.787 * * [misc]simplify: iters left: 1 (84 enodes) 1550619468.807 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619468.807 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619468.807 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619468.807 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619468.807 * * [misc]simplify: Extracting #4: cost 21 inf + 452 1550619468.808 * * [misc]simplify: Extracting #5: cost 10 inf + 2487 1550619468.809 * * [misc]simplify: Extracting #6: cost 2 inf + 4982 1550619468.810 * * [misc]simplify: Extracting #7: cost 0 inf + 6312 1550619468.812 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))) 1550619468.812 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))) 1550619468.812 * * * * [misc]progress: [ 269 / 327 ] simplifiying candidate # 1550619468.812 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619468.813 * * [misc]simplify: iters left: 6 (14 enodes) 1550619468.819 * * [misc]simplify: iters left: 5 (55 enodes) 1550619468.837 * * [misc]simplify: iters left: 4 (96 enodes) 1550619468.866 * * [misc]simplify: iters left: 3 (137 enodes) 1550619468.893 * * [misc]simplify: iters left: 2 (195 enodes) 1550619468.943 * * [misc]simplify: iters left: 1 (227 enodes) 1550619469.001 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.001 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550619469.001 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1550619469.002 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1550619469.002 * * [misc]simplify: Extracting #4: cost 38 inf + 3 1550619469.002 * * [misc]simplify: Extracting #5: cost 31 inf + 1221 1550619469.003 * * [misc]simplify: Extracting #6: cost 22 inf + 2169 1550619469.005 * * [misc]simplify: Extracting #7: cost 4 inf + 11151 1550619469.008 * * [misc]simplify: Extracting #8: cost 0 inf + 13043 1550619469.010 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) 1550619469.010 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619469.011 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619469.011 * * [misc]simplify: iters left: 6 (13 enodes) 1550619469.014 * * [misc]simplify: iters left: 5 (44 enodes) 1550619469.021 * * [misc]simplify: iters left: 4 (59 enodes) 1550619469.034 * * [misc]simplify: iters left: 3 (70 enodes) 1550619469.053 * * [misc]simplify: iters left: 2 (78 enodes) 1550619469.075 * * [misc]simplify: iters left: 1 (87 enodes) 1550619469.096 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.096 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619469.096 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619469.096 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619469.096 * * [misc]simplify: Extracting #4: cost 25 inf + 328 1550619469.097 * * [misc]simplify: Extracting #5: cost 17 inf + 1616 1550619469.098 * * [misc]simplify: Extracting #6: cost 2 inf + 6166 1550619469.099 * * [misc]simplify: Extracting #7: cost 0 inf + 7534 1550619469.101 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))) 1550619469.101 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (/ (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))) 1550619469.101 * * * * [misc]progress: [ 270 / 327 ] simplifiying candidate # 1550619469.102 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619469.102 * * [misc]simplify: iters left: 6 (13 enodes) 1550619469.108 * * [misc]simplify: iters left: 5 (48 enodes) 1550619469.123 * * [misc]simplify: iters left: 4 (72 enodes) 1550619469.142 * * [misc]simplify: iters left: 3 (93 enodes) 1550619469.157 * * [misc]simplify: iters left: 2 (122 enodes) 1550619469.185 * * [misc]simplify: iters left: 1 (134 enodes) 1550619469.202 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.202 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619469.202 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1550619469.202 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550619469.202 * * [misc]simplify: Extracting #4: cost 28 inf + 3 1550619469.202 * * [misc]simplify: Extracting #5: cost 23 inf + 1097 1550619469.203 * * [misc]simplify: Extracting #6: cost 13 inf + 2127 1550619469.204 * * [misc]simplify: Extracting #7: cost 2 inf + 6207 1550619469.205 * * [misc]simplify: Extracting #8: cost 0 inf + 7233 1550619469.206 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619469.206 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow n (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619469.207 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619469.207 * * [misc]simplify: iters left: 6 (13 enodes) 1550619469.210 * * [misc]simplify: iters left: 5 (44 enodes) 1550619469.222 * * [misc]simplify: iters left: 4 (59 enodes) 1550619469.230 * * [misc]simplify: iters left: 3 (70 enodes) 1550619469.240 * * [misc]simplify: iters left: 2 (78 enodes) 1550619469.253 * * [misc]simplify: iters left: 1 (87 enodes) 1550619469.273 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.273 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619469.273 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619469.273 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619469.273 * * [misc]simplify: Extracting #4: cost 25 inf + 328 1550619469.273 * * [misc]simplify: Extracting #5: cost 17 inf + 1616 1550619469.274 * * [misc]simplify: Extracting #6: cost 2 inf + 5926 1550619469.275 * * [misc]simplify: Extracting #7: cost 0 inf + 7214 1550619469.275 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))) 1550619469.275 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow n (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))) 1550619469.275 * * * * [misc]progress: [ 271 / 327 ] simplifiying candidate # 1550619469.276 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1550619469.276 * * [misc]simplify: iters left: 6 (7 enodes) 1550619469.278 * * [misc]simplify: iters left: 5 (25 enodes) 1550619469.282 * * [misc]simplify: iters left: 4 (38 enodes) 1550619469.287 * * [misc]simplify: iters left: 3 (41 enodes) 1550619469.292 * * [misc]simplify: iters left: 2 (42 enodes) 1550619469.297 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.297 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619469.297 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619469.297 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550619469.297 * * [misc]simplify: Extracting #4: cost 10 inf + 2 1550619469.297 * * [misc]simplify: Extracting #5: cost 2 inf + 1093 1550619469.297 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1550619469.298 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550619469.298 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619469.298 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619469.298 * * [misc]simplify: iters left: 6 (12 enodes) 1550619469.301 * * [misc]simplify: iters left: 5 (41 enodes) 1550619469.313 * * [misc]simplify: iters left: 4 (56 enodes) 1550619469.330 * * [misc]simplify: iters left: 3 (67 enodes) 1550619469.339 * * [misc]simplify: iters left: 2 (75 enodes) 1550619469.350 * * [misc]simplify: iters left: 1 (84 enodes) 1550619469.364 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.364 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619469.364 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619469.364 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619469.364 * * [misc]simplify: Extracting #4: cost 23 inf + 328 1550619469.365 * * [misc]simplify: Extracting #5: cost 13 inf + 2253 1550619469.366 * * [misc]simplify: Extracting #6: cost 3 inf + 5109 1550619469.367 * * [misc]simplify: Extracting #7: cost 0 inf + 6308 1550619469.369 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) 1550619469.369 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))))) 1550619469.369 * * * * [misc]progress: [ 272 / 327 ] simplifiying candidate # 1550619469.369 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619469.369 * * [misc]simplify: iters left: 6 (9 enodes) 1550619469.374 * * [misc]simplify: iters left: 5 (32 enodes) 1550619469.384 * * [misc]simplify: iters left: 4 (39 enodes) 1550619469.395 * * [misc]simplify: iters left: 3 (41 enodes) 1550619469.407 * * [misc]simplify: iters left: 2 (53 enodes) 1550619469.422 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.422 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619469.422 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619469.422 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1550619469.422 * * [misc]simplify: Extracting #4: cost 10 inf + 86 1550619469.422 * * [misc]simplify: Extracting #5: cost 5 inf + 573 1550619469.423 * * [misc]simplify: Extracting #6: cost 1 inf + 1100 1550619469.423 * * [misc]simplify: Extracting #7: cost 0 inf + 1222 1550619469.424 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt k))) 1550619469.424 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619469.424 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619469.425 * * [misc]simplify: iters left: 6 (13 enodes) 1550619469.431 * * [misc]simplify: iters left: 5 (48 enodes) 1550619469.447 * * [misc]simplify: iters left: 4 (60 enodes) 1550619469.463 * * [misc]simplify: iters left: 3 (67 enodes) 1550619469.480 * * [misc]simplify: iters left: 2 (75 enodes) 1550619469.497 * * [misc]simplify: iters left: 1 (84 enodes) 1550619469.508 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.508 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619469.508 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619469.508 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619469.508 * * [misc]simplify: Extracting #4: cost 21 inf + 372 1550619469.508 * * [misc]simplify: Extracting #5: cost 10 inf + 2327 1550619469.509 * * [misc]simplify: Extracting #6: cost 2 inf + 4702 1550619469.509 * * [misc]simplify: Extracting #7: cost 0 inf + 5992 1550619469.510 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) 1550619469.510 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (sqrt (sqrt k))) (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))) 1550619469.510 * * * * [misc]progress: [ 273 / 327 ] simplifiying candidate # 1550619469.510 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n 1/2))) 1550619469.511 * * [misc]simplify: iters left: 6 (9 enodes) 1550619469.513 * * [misc]simplify: iters left: 5 (32 enodes) 1550619469.518 * * [misc]simplify: iters left: 4 (39 enodes) 1550619469.530 * * [misc]simplify: iters left: 3 (41 enodes) 1550619469.541 * * [misc]simplify: iters left: 2 (53 enodes) 1550619469.555 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.555 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619469.556 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619469.556 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1550619469.556 * * [misc]simplify: Extracting #4: cost 10 inf + 86 1550619469.556 * * [misc]simplify: Extracting #5: cost 5 inf + 573 1550619469.556 * * [misc]simplify: Extracting #6: cost 1 inf + 1100 1550619469.557 * * [misc]simplify: Extracting #7: cost 0 inf + 1222 1550619469.558 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt k))) 1550619469.558 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))))))) 1550619469.558 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k))))) 1550619469.558 * * [misc]simplify: iters left: 6 (13 enodes) 1550619469.562 * * [misc]simplify: iters left: 5 (48 enodes) 1550619469.572 * * [misc]simplify: iters left: 4 (60 enodes) 1550619469.580 * * [misc]simplify: iters left: 3 (67 enodes) 1550619469.589 * * [misc]simplify: iters left: 2 (75 enodes) 1550619469.600 * * [misc]simplify: iters left: 1 (84 enodes) 1550619469.611 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.612 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619469.612 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619469.612 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550619469.612 * * [misc]simplify: Extracting #4: cost 21 inf + 372 1550619469.613 * * [misc]simplify: Extracting #5: cost 10 inf + 2327 1550619469.614 * * [misc]simplify: Extracting #6: cost 2 inf + 4702 1550619469.615 * * [misc]simplify: Extracting #7: cost 0 inf + 5992 1550619469.616 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) 1550619469.616 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (sqrt (sqrt k))) (* (pow n (* k -1/2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))) 1550619469.617 * * * * [misc]progress: [ 274 / 327 ] simplifiying candidate # 1550619469.617 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619469.617 * * [misc]simplify: iters left: 6 (13 enodes) 1550619469.623 * * [misc]simplify: iters left: 5 (48 enodes) 1550619469.638 * * [misc]simplify: iters left: 4 (71 enodes) 1550619469.659 * * [misc]simplify: iters left: 3 (87 enodes) 1550619469.687 * * [misc]simplify: iters left: 2 (106 enodes) 1550619469.718 * * [misc]simplify: iters left: 1 (122 enodes) 1550619469.747 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.747 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1550619469.747 * * [misc]simplify: Extracting #2: cost 18 inf + 1 1550619469.747 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1550619469.748 * * [misc]simplify: Extracting #4: cost 26 inf + 3 1550619469.748 * * [misc]simplify: Extracting #5: cost 23 inf + 534 1550619469.748 * * [misc]simplify: Extracting #6: cost 15 inf + 1532 1550619469.750 * * [misc]simplify: Extracting #7: cost 2 inf + 6227 1550619469.752 * * [misc]simplify: Extracting #8: cost 0 inf + 7253 1550619469.754 * [exit]simplify: Simplified to (/ (cbrt (pow n (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619469.754 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (cbrt (pow n (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619469.755 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619469.755 * * [misc]simplify: iters left: 6 (13 enodes) 1550619469.761 * * [misc]simplify: iters left: 5 (44 enodes) 1550619469.774 * * [misc]simplify: iters left: 4 (59 enodes) 1550619469.791 * * [misc]simplify: iters left: 3 (70 enodes) 1550619469.809 * * [misc]simplify: iters left: 2 (78 enodes) 1550619469.834 * * [misc]simplify: iters left: 1 (87 enodes) 1550619469.853 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.853 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619469.853 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619469.853 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619469.853 * * [misc]simplify: Extracting #4: cost 25 inf + 248 1550619469.853 * * [misc]simplify: Extracting #5: cost 17 inf + 1496 1550619469.854 * * [misc]simplify: Extracting #6: cost 2 inf + 5886 1550619469.855 * * [misc]simplify: Extracting #7: cost 0 inf + 7214 1550619469.855 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) 1550619469.855 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (cbrt (pow n (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))) 1550619469.856 * * * * [misc]progress: [ 275 / 327 ] simplifiying candidate # 1550619469.856 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619469.856 * * [misc]simplify: iters left: 6 (12 enodes) 1550619469.859 * * [misc]simplify: iters left: 5 (43 enodes) 1550619469.866 * * [misc]simplify: iters left: 4 (60 enodes) 1550619469.881 * * [misc]simplify: iters left: 3 (68 enodes) 1550619469.893 * * [misc]simplify: iters left: 2 (84 enodes) 1550619469.906 * * [misc]simplify: iters left: 1 (91 enodes) 1550619469.918 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.918 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619469.918 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550619469.918 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550619469.918 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1550619469.919 * * [misc]simplify: Extracting #5: cost 19 inf + 290 1550619469.919 * * [misc]simplify: Extracting #6: cost 7 inf + 1827 1550619469.920 * * [misc]simplify: Extracting #7: cost 1 inf + 3602 1550619469.921 * * [misc]simplify: Extracting #8: cost 0 inf + 4055 1550619469.923 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) 1550619469.923 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619469.923 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619469.923 * * [misc]simplify: iters left: 6 (13 enodes) 1550619469.929 * * [misc]simplify: iters left: 5 (44 enodes) 1550619469.937 * * [misc]simplify: iters left: 4 (59 enodes) 1550619469.945 * * [misc]simplify: iters left: 3 (70 enodes) 1550619469.954 * * [misc]simplify: iters left: 2 (78 enodes) 1550619469.974 * * [misc]simplify: iters left: 1 (87 enodes) 1550619469.984 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.984 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619469.984 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619469.984 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550619469.984 * * [misc]simplify: Extracting #4: cost 25 inf + 248 1550619469.985 * * [misc]simplify: Extracting #5: cost 17 inf + 1496 1550619469.985 * * [misc]simplify: Extracting #6: cost 2 inf + 5646 1550619469.986 * * [misc]simplify: Extracting #7: cost 0 inf + 6894 1550619469.987 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) 1550619469.987 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))) 1550619469.987 * * * * [misc]progress: [ 276 / 327 ] simplifiying candidate # 1550619469.987 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1550619469.987 * * [misc]simplify: iters left: 6 (6 enodes) 1550619469.989 * * [misc]simplify: iters left: 5 (20 enodes) 1550619469.992 * * [misc]simplify: iters left: 4 (24 enodes) 1550619469.995 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619469.995 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619469.995 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619469.995 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550619469.995 * * [misc]simplify: Extracting #4: cost 6 inf + 2 1550619469.995 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1550619469.995 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550619469.996 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))))))) 1550619469.996 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))) 1550619469.996 * * [misc]simplify: iters left: 6 (12 enodes) 1550619469.999 * * [misc]simplify: iters left: 5 (41 enodes) 1550619470.006 * * [misc]simplify: iters left: 4 (56 enodes) 1550619470.021 * * [misc]simplify: iters left: 3 (67 enodes) 1550619470.041 * * [misc]simplify: iters left: 2 (75 enodes) 1550619470.052 * * [misc]simplify: iters left: 1 (84 enodes) 1550619470.062 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.062 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619470.062 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619470.062 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550619470.062 * * [misc]simplify: Extracting #4: cost 23 inf + 248 1550619470.063 * * [misc]simplify: Extracting #5: cost 13 inf + 2173 1550619470.063 * * [misc]simplify: Extracting #6: cost 3 inf + 4869 1550619470.064 * * [misc]simplify: Extracting #7: cost 0 inf + 5988 1550619470.065 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) 1550619470.065 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt (sqrt k))) (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))) 1550619470.065 * * * * [misc]progress: [ 277 / 327 ] simplifiying candidate # 1550619470.065 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n 1/2))) 1550619470.065 * * [misc]simplify: iters left: 5 (6 enodes) 1550619470.067 * * [misc]simplify: iters left: 4 (21 enodes) 1550619470.072 * * [misc]simplify: iters left: 3 (24 enodes) 1550619470.080 * * [misc]simplify: iters left: 2 (28 enodes) 1550619470.087 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.087 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619470.087 * * [misc]simplify: Extracting #2: cost 2 inf + 85 1550619470.087 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1550619470.088 * [exit]simplify: Simplified to (sqrt n) 1550619470.088 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt n) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619470.088 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619470.088 * * [misc]simplify: iters left: 6 (12 enodes) 1550619470.094 * * [misc]simplify: iters left: 5 (45 enodes) 1550619470.104 * * [misc]simplify: iters left: 4 (57 enodes) 1550619470.112 * * [misc]simplify: iters left: 3 (64 enodes) 1550619470.120 * * [misc]simplify: iters left: 2 (72 enodes) 1550619470.132 * * [misc]simplify: iters left: 1 (81 enodes) 1550619470.149 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.149 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619470.149 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619470.149 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619470.149 * * [misc]simplify: Extracting #4: cost 20 inf + 423 1550619470.150 * * [misc]simplify: Extracting #5: cost 8 inf + 2552 1550619470.150 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550619470.151 * * [misc]simplify: Extracting #7: cost 0 inf + 5590 1550619470.151 * [exit]simplify: Simplified to (/ (* (pow n (* k -1/2)) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) 1550619470.151 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt n) (/ (* (pow n (* k -1/2)) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))) 1550619470.151 * * * * [misc]progress: [ 278 / 327 ] simplifiying candidate # 1550619470.152 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n 1/2))) 1550619470.152 * * [misc]simplify: iters left: 5 (6 enodes) 1550619470.154 * * [misc]simplify: iters left: 4 (21 enodes) 1550619470.158 * * [misc]simplify: iters left: 3 (24 enodes) 1550619470.162 * * [misc]simplify: iters left: 2 (28 enodes) 1550619470.166 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.166 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619470.166 * * [misc]simplify: Extracting #2: cost 2 inf + 85 1550619470.166 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1550619470.166 * [exit]simplify: Simplified to (sqrt n) 1550619470.166 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt n) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k)))))))) 1550619470.166 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- (* 1/2 k))))) 1550619470.166 * * [misc]simplify: iters left: 6 (12 enodes) 1550619470.169 * * [misc]simplify: iters left: 5 (45 enodes) 1550619470.176 * * [misc]simplify: iters left: 4 (57 enodes) 1550619470.191 * * [misc]simplify: iters left: 3 (64 enodes) 1550619470.200 * * [misc]simplify: iters left: 2 (72 enodes) 1550619470.211 * * [misc]simplify: iters left: 1 (81 enodes) 1550619470.221 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.221 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619470.221 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550619470.221 * * [misc]simplify: Extracting #3: cost 21 inf + 85 1550619470.222 * * [misc]simplify: Extracting #4: cost 20 inf + 423 1550619470.222 * * [misc]simplify: Extracting #5: cost 8 inf + 2552 1550619470.223 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550619470.224 * * [misc]simplify: Extracting #7: cost 0 inf + 5590 1550619470.226 * [exit]simplify: Simplified to (/ (* (pow n (* k -1/2)) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) 1550619470.226 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt n) (/ (* (pow n (* k -1/2)) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))) 1550619470.226 * * * * [misc]progress: [ 279 / 327 ] simplifiying candidate # 1550619470.226 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) 1550619470.226 * * [misc]simplify: iters left: 6 (11 enodes) 1550619470.232 * * [misc]simplify: iters left: 5 (40 enodes) 1550619470.246 * * [misc]simplify: iters left: 4 (57 enodes) 1550619470.258 * * [misc]simplify: iters left: 3 (75 enodes) 1550619470.269 * * [misc]simplify: iters left: 2 (93 enodes) 1550619470.285 * * [misc]simplify: iters left: 1 (102 enodes) 1550619470.305 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.305 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550619470.305 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550619470.306 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1550619470.306 * * [misc]simplify: Extracting #4: cost 16 inf + 2 1550619470.306 * * [misc]simplify: Extracting #5: cost 21 inf + 3 1550619470.306 * * [misc]simplify: Extracting #6: cost 14 inf + 296 1550619470.307 * * [misc]simplify: Extracting #7: cost 6 inf + 1876 1550619470.308 * * [misc]simplify: Extracting #8: cost 1 inf + 3943 1550619470.309 * * [misc]simplify: Extracting #9: cost 0 inf + 4397 1550619470.311 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))) 1550619470.311 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619470.311 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))) 1550619470.311 * * [misc]simplify: iters left: 6 (12 enodes) 1550619470.317 * * [misc]simplify: iters left: 5 (41 enodes) 1550619470.328 * * [misc]simplify: iters left: 4 (56 enodes) 1550619470.342 * * [misc]simplify: iters left: 3 (67 enodes) 1550619470.353 * * [misc]simplify: iters left: 2 (75 enodes) 1550619470.364 * * [misc]simplify: iters left: 1 (84 enodes) 1550619470.374 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.374 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619470.374 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619470.375 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619470.375 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619470.375 * * [misc]simplify: Extracting #5: cost 14 inf + 2544 1550619470.375 * * [misc]simplify: Extracting #6: cost 3 inf + 5693 1550619470.376 * * [misc]simplify: Extracting #7: cost 0 inf + 6812 1550619470.377 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) 1550619470.377 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))) (/ (* (cbrt (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))) 1550619470.377 * * * * [misc]progress: [ 280 / 327 ] simplifiying candidate # 1550619470.377 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619470.377 * * [misc]simplify: iters left: 6 (10 enodes) 1550619470.380 * * [misc]simplify: iters left: 5 (35 enodes) 1550619470.387 * * [misc]simplify: iters left: 4 (48 enodes) 1550619470.401 * * [misc]simplify: iters left: 3 (58 enodes) 1550619470.416 * * [misc]simplify: iters left: 2 (62 enodes) 1550619470.433 * * [misc]simplify: iters left: 1 (69 enodes) 1550619470.447 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.448 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550619470.448 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619470.448 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1550619470.448 * * [misc]simplify: Extracting #4: cost 17 inf + 3 1550619470.448 * * [misc]simplify: Extracting #5: cost 15 inf + 46 1550619470.448 * * [misc]simplify: Extracting #6: cost 8 inf + 419 1550619470.449 * * [misc]simplify: Extracting #7: cost 2 inf + 1755 1550619470.449 * * [misc]simplify: Extracting #8: cost 0 inf + 2503 1550619470.449 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (* 1/2 k)))) 1550619470.449 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k))))))))) 1550619470.450 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))) 1550619470.450 * * [misc]simplify: iters left: 6 (12 enodes) 1550619470.452 * * [misc]simplify: iters left: 5 (41 enodes) 1550619470.460 * * [misc]simplify: iters left: 4 (56 enodes) 1550619470.469 * * [misc]simplify: iters left: 3 (67 enodes) 1550619470.479 * * [misc]simplify: iters left: 2 (75 enodes) 1550619470.497 * * [misc]simplify: iters left: 1 (84 enodes) 1550619470.507 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.507 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619470.507 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619470.507 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1550619470.507 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1550619470.507 * * [misc]simplify: Extracting #5: cost 14 inf + 2424 1550619470.508 * * [misc]simplify: Extracting #6: cost 3 inf + 5413 1550619470.509 * * [misc]simplify: Extracting #7: cost 0 inf + 6492 1550619470.509 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) 1550619470.510 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (/ (* (sqrt (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))) 1550619470.510 * * * * [misc]progress: [ 281 / 327 ] simplifiying candidate # 1550619470.510 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1550619470.510 * * [misc]simplify: iters left: 4 (3 enodes) 1550619470.511 * * [misc]simplify: iters left: 3 (7 enodes) 1550619470.512 * * [misc]simplify: iters left: 2 (9 enodes) 1550619470.513 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.513 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619470.513 * [exit]simplify: Simplified to 1 1550619470.513 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* 1 (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619470.514 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619470.514 * * [misc]simplify: iters left: 6 (11 enodes) 1550619470.516 * * [misc]simplify: iters left: 5 (38 enodes) 1550619470.524 * * [misc]simplify: iters left: 4 (53 enodes) 1550619470.538 * * [misc]simplify: iters left: 3 (64 enodes) 1550619470.553 * * [misc]simplify: iters left: 2 (72 enodes) 1550619470.575 * * [misc]simplify: iters left: 1 (81 enodes) 1550619470.592 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.592 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619470.592 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619470.592 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619470.593 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619470.593 * * [misc]simplify: Extracting #5: cost 10 inf + 1795 1550619470.594 * * [misc]simplify: Extracting #6: cost 0 inf + 5586 1550619470.595 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619470.595 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* 1 (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619470.595 * * * * [misc]progress: [ 282 / 327 ] simplifiying candidate # 1550619470.596 * [enter]simplify: Simplifying (/ 1 1) 1550619470.596 * * [misc]simplify: iters left: 2 (2 enodes) 1550619470.597 * * [misc]simplify: iters left: 1 (6 enodes) 1550619470.598 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.598 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550619470.598 * [exit]simplify: Simplified to 1 1550619470.598 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* 1 (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619470.598 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619470.598 * * [misc]simplify: iters left: 6 (11 enodes) 1550619470.601 * * [misc]simplify: iters left: 5 (38 enodes) 1550619470.608 * * [misc]simplify: iters left: 4 (53 enodes) 1550619470.615 * * [misc]simplify: iters left: 3 (64 enodes) 1550619470.625 * * [misc]simplify: iters left: 2 (72 enodes) 1550619470.644 * * [misc]simplify: iters left: 1 (81 enodes) 1550619470.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.662 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550619470.662 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550619470.662 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1550619470.663 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1550619470.663 * * [misc]simplify: Extracting #5: cost 10 inf + 1795 1550619470.664 * * [misc]simplify: Extracting #6: cost 0 inf + 5586 1550619470.665 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2))))) 1550619470.665 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* 1 (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* k 1/2)))))))) 1550619470.665 * * * * [misc]progress: [ 283 / 327 ] simplifiying candidate # 1550619470.666 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1550619470.666 * * [misc]simplify: iters left: 3 (4 enodes) 1550619470.668 * * [misc]simplify: iters left: 2 (14 enodes) 1550619470.673 * * [misc]simplify: iters left: 1 (16 enodes) 1550619470.678 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.678 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619470.678 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550619470.678 * * [misc]simplify: Extracting #3: cost 3 inf + 43 1550619470.678 * * [misc]simplify: Extracting #4: cost 1 inf + 166 1550619470.678 * * [misc]simplify: Extracting #5: cost 0 inf + 248 1550619470.678 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1550619470.678 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (/ 1 (pow n (- 1/2 (* 1/2 k)))))))) 1550619470.679 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) 1550619470.679 * * [misc]simplify: iters left: 6 (11 enodes) 1550619470.684 * * [misc]simplify: iters left: 5 (40 enodes) 1550619470.698 * * [misc]simplify: iters left: 4 (53 enodes) 1550619470.713 * * [misc]simplify: iters left: 3 (66 enodes) 1550619470.722 * * [misc]simplify: iters left: 2 (71 enodes) 1550619470.732 * * [misc]simplify: iters left: 1 (80 enodes) 1550619470.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.741 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619470.741 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619470.742 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1550619470.742 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1550619470.742 * * [misc]simplify: Extracting #5: cost 10 inf + 1551 1550619470.742 * * [misc]simplify: Extracting #6: cost 0 inf + 4100 1550619470.743 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) 1550619470.743 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt k)) (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))))) 1550619470.743 * * * * [misc]progress: [ 284 / 327 ] simplifiying candidate # 1550619470.743 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow n 1/2))) 1550619470.743 * * [misc]simplify: iters left: 5 (8 enodes) 1550619470.746 * * [misc]simplify: iters left: 4 (29 enodes) 1550619470.755 * * [misc]simplify: iters left: 3 (36 enodes) 1550619470.765 * * [misc]simplify: iters left: 2 (38 enodes) 1550619470.777 * * [misc]simplify: iters left: 1 (50 enodes) 1550619470.790 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.790 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550619470.790 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550619470.791 * * [misc]simplify: Extracting #3: cost 9 inf + 45 1550619470.791 * * [misc]simplify: Extracting #4: cost 2 inf + 616 1550619470.791 * * [misc]simplify: Extracting #5: cost 0 inf + 820 1550619470.792 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt k)) 1550619470.792 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (pow n (* 1/2 k)))))) 1550619470.792 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (* 1/2 k))) (pow n (* 1/2 k))) 1550619470.792 * * [misc]simplify: iters left: 6 (9 enodes) 1550619470.796 * * [misc]simplify: iters left: 5 (30 enodes) 1550619470.806 * * [misc]simplify: iters left: 4 (40 enodes) 1550619470.819 * * [misc]simplify: iters left: 3 (47 enodes) 1550619470.826 * * [misc]simplify: iters left: 2 (55 enodes) 1550619470.835 * * [misc]simplify: iters left: 1 (64 enodes) 1550619470.842 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.842 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619470.843 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550619470.843 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619470.843 * * [misc]simplify: Extracting #4: cost 13 inf + 423 1550619470.843 * * [misc]simplify: Extracting #5: cost 7 inf + 1136 1550619470.843 * * [misc]simplify: Extracting #6: cost 0 inf + 2684 1550619470.843 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (* k 1/2))) (pow n (* k 1/2))) 1550619470.844 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (sqrt n) (sqrt k)) (/ (pow PI (- 1/2 (* k 1/2))) (pow n (* k 1/2)))))) 1550619470.844 * * * * [misc]progress: [ 285 / 327 ] simplifiying candidate # 1550619470.844 * * * * [misc]progress: [ 286 / 327 ] simplifiying candidate # 1550619470.844 * * * * [misc]progress: [ 287 / 327 ] simplifiying candidate # 1550619470.844 * * * * [misc]progress: [ 288 / 327 ] simplifiying candidate # 1550619470.844 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619470.844 * * [misc]simplify: iters left: 6 (9 enodes) 1550619470.846 * * [misc]simplify: iters left: 5 (30 enodes) 1550619470.851 * * [misc]simplify: iters left: 4 (40 enodes) 1550619470.856 * * [misc]simplify: iters left: 3 (47 enodes) 1550619470.863 * * [misc]simplify: iters left: 2 (55 enodes) 1550619470.871 * * [misc]simplify: iters left: 1 (64 enodes) 1550619470.879 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.879 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619470.879 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619470.879 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1550619470.879 * * [misc]simplify: Extracting #4: cost 14 inf + 2 1550619470.879 * * [misc]simplify: Extracting #5: cost 17 inf + 85 1550619470.879 * * [misc]simplify: Extracting #6: cost 12 inf + 294 1550619470.880 * * [misc]simplify: Extracting #7: cost 4 inf + 1251 1550619470.880 * * [misc]simplify: Extracting #8: cost 0 inf + 2823 1550619470.880 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619470.880 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) (cbrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619470.881 * * * * [misc]progress: [ 289 / 327 ] simplifiying candidate # 1550619470.881 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619470.881 * * [misc]simplify: iters left: 6 (9 enodes) 1550619470.883 * * [misc]simplify: iters left: 5 (30 enodes) 1550619470.888 * * [misc]simplify: iters left: 4 (40 enodes) 1550619470.894 * * [misc]simplify: iters left: 3 (47 enodes) 1550619470.902 * * [misc]simplify: iters left: 2 (55 enodes) 1550619470.911 * * [misc]simplify: iters left: 1 (64 enodes) 1550619470.920 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.920 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619470.920 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619470.920 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1550619470.920 * * [misc]simplify: Extracting #4: cost 14 inf + 2 1550619470.920 * * [misc]simplify: Extracting #5: cost 17 inf + 85 1550619470.920 * * [misc]simplify: Extracting #6: cost 12 inf + 294 1550619470.921 * * [misc]simplify: Extracting #7: cost 4 inf + 1251 1550619470.921 * * [misc]simplify: Extracting #8: cost 0 inf + 2743 1550619470.921 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))) 1550619470.921 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))) (sqrt (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))) 1550619470.922 * * * * [misc]progress: [ 290 / 327 ] simplifiying candidate # 1550619470.922 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))) 1550619470.922 * * [misc]simplify: iters left: 6 (9 enodes) 1550619470.924 * * [misc]simplify: iters left: 5 (33 enodes) 1550619470.929 * * [misc]simplify: iters left: 4 (39 enodes) 1550619470.935 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.935 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619470.935 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619470.935 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619470.935 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1550619470.935 * * [misc]simplify: Extracting #5: cost 7 inf + 506 1550619470.935 * * [misc]simplify: Extracting #6: cost 0 inf + 1910 1550619470.935 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow n (* -1/2 k))) 1550619470.935 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) (/ (cbrt (sqrt k)) (pow n (* -1/2 k)))))) 1550619470.936 * * * * [misc]progress: [ 291 / 327 ] simplifiying candidate # 1550619470.936 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n (- (* 1/2 k)))) 1550619470.936 * * [misc]simplify: iters left: 6 (9 enodes) 1550619470.938 * * [misc]simplify: iters left: 5 (33 enodes) 1550619470.945 * * [misc]simplify: iters left: 4 (39 enodes) 1550619470.955 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619470.955 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619470.955 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619470.956 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619470.956 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1550619470.956 * * [misc]simplify: Extracting #5: cost 7 inf + 506 1550619470.956 * * [misc]simplify: Extracting #6: cost 0 inf + 1910 1550619470.957 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow n (* -1/2 k))) 1550619470.957 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n 1/2))) (/ (cbrt (sqrt k)) (pow n (* -1/2 k)))))) 1550619470.957 * * * * [misc]progress: [ 292 / 327 ] simplifiying candidate # 1550619470.957 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))) 1550619470.957 * * [misc]simplify: iters left: 6 (10 enodes) 1550619470.962 * * [misc]simplify: iters left: 5 (33 enodes) 1550619470.972 * * [misc]simplify: iters left: 4 (43 enodes) 1550619470.984 * * [misc]simplify: iters left: 3 (50 enodes) 1550619470.998 * * [misc]simplify: iters left: 2 (58 enodes) 1550619471.017 * * [misc]simplify: iters left: 1 (67 enodes) 1550619471.033 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.033 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.033 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619471.033 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619471.034 * * [misc]simplify: Extracting #4: cost 16 inf + 2 1550619471.034 * * [misc]simplify: Extracting #5: cost 19 inf + 86 1550619471.034 * * [misc]simplify: Extracting #6: cost 4 inf + 2807 1550619471.035 * * [misc]simplify: Extracting #7: cost 0 inf + 3225 1550619471.036 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.036 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (/ (cbrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) 1550619471.036 * * * * [misc]progress: [ 293 / 327 ] simplifiying candidate # 1550619471.036 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.036 * * [misc]simplify: iters left: 6 (10 enodes) 1550619471.041 * * [misc]simplify: iters left: 5 (33 enodes) 1550619471.051 * * [misc]simplify: iters left: 4 (43 enodes) 1550619471.060 * * [misc]simplify: iters left: 3 (50 enodes) 1550619471.067 * * [misc]simplify: iters left: 2 (58 enodes) 1550619471.075 * * [misc]simplify: iters left: 1 (67 enodes) 1550619471.084 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.084 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.084 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619471.084 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619471.084 * * [misc]simplify: Extracting #4: cost 16 inf + 2 1550619471.084 * * [misc]simplify: Extracting #5: cost 19 inf + 86 1550619471.085 * * [misc]simplify: Extracting #6: cost 4 inf + 2687 1550619471.085 * * [misc]simplify: Extracting #7: cost 0 inf + 3065 1550619471.085 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.086 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (/ (cbrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))))) 1550619471.086 * * * * [misc]progress: [ 294 / 327 ] simplifiying candidate # 1550619471.086 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))) 1550619471.086 * * [misc]simplify: iters left: 6 (9 enodes) 1550619471.088 * * [misc]simplify: iters left: 5 (30 enodes) 1550619471.098 * * [misc]simplify: iters left: 4 (40 enodes) 1550619471.108 * * [misc]simplify: iters left: 3 (47 enodes) 1550619471.121 * * [misc]simplify: iters left: 2 (55 enodes) 1550619471.137 * * [misc]simplify: iters left: 1 (64 enodes) 1550619471.144 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.145 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.145 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619471.145 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619471.145 * * [misc]simplify: Extracting #4: cost 19 inf + 3 1550619471.145 * * [misc]simplify: Extracting #5: cost 14 inf + 170 1550619471.145 * * [misc]simplify: Extracting #6: cost 5 inf + 996 1550619471.145 * * [misc]simplify: Extracting #7: cost 0 inf + 2319 1550619471.146 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))) 1550619471.146 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))))) 1550619471.146 * * * * [misc]progress: [ 295 / 327 ] simplifiying candidate # 1550619471.146 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))) 1550619471.146 * * [misc]simplify: iters left: 6 (9 enodes) 1550619471.148 * * [misc]simplify: iters left: 5 (33 enodes) 1550619471.153 * * [misc]simplify: iters left: 4 (39 enodes) 1550619471.158 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.158 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.159 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619471.159 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619471.159 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1550619471.159 * * [misc]simplify: Extracting #5: cost 7 inf + 506 1550619471.159 * * [misc]simplify: Extracting #6: cost 0 inf + 1750 1550619471.159 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (* -1/2 k))) 1550619471.159 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))))) 1550619471.159 * * * * [misc]progress: [ 296 / 327 ] simplifiying candidate # 1550619471.159 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (* 1/2 k)))) 1550619471.160 * * [misc]simplify: iters left: 6 (9 enodes) 1550619471.163 * * [misc]simplify: iters left: 5 (33 enodes) 1550619471.172 * * [misc]simplify: iters left: 4 (39 enodes) 1550619471.180 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.180 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.180 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619471.180 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619471.180 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1550619471.180 * * [misc]simplify: Extracting #5: cost 7 inf + 506 1550619471.180 * * [misc]simplify: Extracting #6: cost 0 inf + 1750 1550619471.180 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (* -1/2 k))) 1550619471.180 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))))) 1550619471.180 * * * * [misc]progress: [ 297 / 327 ] simplifiying candidate # 1550619471.181 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.181 * * [misc]simplify: iters left: 6 (10 enodes) 1550619471.183 * * [misc]simplify: iters left: 5 (33 enodes) 1550619471.188 * * [misc]simplify: iters left: 4 (43 enodes) 1550619471.194 * * [misc]simplify: iters left: 3 (50 enodes) 1550619471.200 * * [misc]simplify: iters left: 2 (58 enodes) 1550619471.213 * * [misc]simplify: iters left: 1 (67 enodes) 1550619471.230 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.230 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.230 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619471.230 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619471.230 * * [misc]simplify: Extracting #4: cost 16 inf + 2 1550619471.230 * * [misc]simplify: Extracting #5: cost 19 inf + 86 1550619471.231 * * [misc]simplify: Extracting #6: cost 4 inf + 2647 1550619471.232 * * [misc]simplify: Extracting #7: cost 0 inf + 3065 1550619471.232 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.232 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) 1550619471.233 * * * * [misc]progress: [ 298 / 327 ] simplifiying candidate # 1550619471.233 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.233 * * [misc]simplify: iters left: 6 (10 enodes) 1550619471.239 * * [misc]simplify: iters left: 5 (33 enodes) 1550619471.249 * * [misc]simplify: iters left: 4 (43 enodes) 1550619471.255 * * [misc]simplify: iters left: 3 (50 enodes) 1550619471.262 * * [misc]simplify: iters left: 2 (58 enodes) 1550619471.271 * * [misc]simplify: iters left: 1 (67 enodes) 1550619471.279 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.279 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.279 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619471.279 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550619471.279 * * [misc]simplify: Extracting #4: cost 16 inf + 2 1550619471.279 * * [misc]simplify: Extracting #5: cost 19 inf + 86 1550619471.279 * * [misc]simplify: Extracting #6: cost 4 inf + 2527 1550619471.280 * * [misc]simplify: Extracting #7: cost 0 inf + 2905 1550619471.280 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.280 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (* 1/2 k)))))))) 1550619471.281 * * * * [misc]progress: [ 299 / 327 ] simplifiying candidate # 1550619471.281 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))) 1550619471.281 * * [misc]simplify: iters left: 6 (9 enodes) 1550619471.285 * * [misc]simplify: iters left: 5 (30 enodes) 1550619471.294 * * [misc]simplify: iters left: 4 (40 enodes) 1550619471.305 * * [misc]simplify: iters left: 3 (47 enodes) 1550619471.317 * * [misc]simplify: iters left: 2 (55 enodes) 1550619471.333 * * [misc]simplify: iters left: 1 (64 enodes) 1550619471.347 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.348 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.348 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619471.348 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550619471.348 * * [misc]simplify: Extracting #4: cost 19 inf + 3 1550619471.348 * * [misc]simplify: Extracting #5: cost 14 inf + 170 1550619471.348 * * [misc]simplify: Extracting #6: cost 5 inf + 916 1550619471.349 * * [misc]simplify: Extracting #7: cost 0 inf + 2159 1550619471.350 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k)))) 1550619471.350 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (* 1/2 k))))))) 1550619471.350 * * * * [misc]progress: [ 300 / 327 ] simplifiying candidate # 1550619471.350 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (- (* 1/2 k)))) 1550619471.350 * * [misc]simplify: iters left: 6 (8 enodes) 1550619471.355 * * [misc]simplify: iters left: 5 (30 enodes) 1550619471.365 * * [misc]simplify: iters left: 4 (36 enodes) 1550619471.372 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.372 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.372 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619471.372 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1550619471.372 * * [misc]simplify: Extracting #4: cost 9 inf + 128 1550619471.373 * * [misc]simplify: Extracting #5: cost 0 inf + 1508 1550619471.373 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (* -1/2 k))) 1550619471.373 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ 1 (pow n 1/2))) (/ (sqrt k) (pow n (* -1/2 k)))))) 1550619471.373 * * * * [misc]progress: [ 301 / 327 ] simplifiying candidate # 1550619471.373 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (- (* 1/2 k)))) 1550619471.373 * * [misc]simplify: iters left: 6 (8 enodes) 1550619471.375 * * [misc]simplify: iters left: 5 (30 enodes) 1550619471.380 * * [misc]simplify: iters left: 4 (36 enodes) 1550619471.385 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.385 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.385 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619471.385 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1550619471.385 * * [misc]simplify: Extracting #4: cost 9 inf + 128 1550619471.385 * * [misc]simplify: Extracting #5: cost 0 inf + 1508 1550619471.386 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (* -1/2 k))) 1550619471.386 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ 1 (pow n 1/2))) (/ (sqrt k) (pow n (* -1/2 k)))))) 1550619471.386 * * * * [misc]progress: [ 302 / 327 ] simplifiying candidate # 1550619471.386 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.386 * * [misc]simplify: iters left: 6 (9 enodes) 1550619471.388 * * [misc]simplify: iters left: 5 (30 enodes) 1550619471.393 * * [misc]simplify: iters left: 4 (40 enodes) 1550619471.399 * * [misc]simplify: iters left: 3 (47 enodes) 1550619471.410 * * [misc]simplify: iters left: 2 (55 enodes) 1550619471.426 * * [misc]simplify: iters left: 1 (64 enodes) 1550619471.437 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.437 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.437 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619471.437 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619471.437 * * [misc]simplify: Extracting #4: cost 12 inf + 84 1550619471.437 * * [misc]simplify: Extracting #5: cost 17 inf + 85 1550619471.437 * * [misc]simplify: Extracting #6: cost 12 inf + 294 1550619471.437 * * [misc]simplify: Extracting #7: cost 4 inf + 1251 1550619471.438 * * [misc]simplify: Extracting #8: cost 0 inf + 2823 1550619471.438 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.438 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ 1 (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))))) (/ (sqrt k) (cbrt (pow n (- 1/2 (* 1/2 k)))))))) 1550619471.438 * * * * [misc]progress: [ 303 / 327 ] simplifiying candidate # 1550619471.438 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.438 * * [misc]simplify: iters left: 6 (9 enodes) 1550619471.441 * * [misc]simplify: iters left: 5 (30 enodes) 1550619471.445 * * [misc]simplify: iters left: 4 (40 enodes) 1550619471.451 * * [misc]simplify: iters left: 3 (47 enodes) 1550619471.460 * * [misc]simplify: iters left: 2 (55 enodes) 1550619471.476 * * [misc]simplify: iters left: 1 (64 enodes) 1550619471.486 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.486 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.486 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550619471.486 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619471.486 * * [misc]simplify: Extracting #4: cost 12 inf + 84 1550619471.486 * * [misc]simplify: Extracting #5: cost 17 inf + 85 1550619471.487 * * [misc]simplify: Extracting #6: cost 12 inf + 294 1550619471.487 * * [misc]simplify: Extracting #7: cost 4 inf + 1211 1550619471.487 * * [misc]simplify: Extracting #8: cost 0 inf + 2663 1550619471.488 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k))))) 1550619471.488 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ 1 (sqrt (pow n (- 1/2 (* 1/2 k)))))) (/ (sqrt k) (sqrt (pow n (- 1/2 (* 1/2 k)))))))) 1550619471.488 * * * * [misc]progress: [ 304 / 327 ] simplifiying candidate # 1550619471.488 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) 1550619471.488 * * [misc]simplify: iters left: 6 (8 enodes) 1550619471.490 * * [misc]simplify: iters left: 5 (27 enodes) 1550619471.494 * * [misc]simplify: iters left: 4 (37 enodes) 1550619471.500 * * [misc]simplify: iters left: 3 (44 enodes) 1550619471.506 * * [misc]simplify: iters left: 2 (52 enodes) 1550619471.516 * * [misc]simplify: iters left: 1 (61 enodes) 1550619471.530 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.530 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.530 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619471.530 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1550619471.530 * * [misc]simplify: Extracting #4: cost 16 inf + 44 1550619471.530 * * [misc]simplify: Extracting #5: cost 8 inf + 458 1550619471.531 * * [misc]simplify: Extracting #6: cost 2 inf + 1502 1550619471.532 * * [misc]simplify: Extracting #7: cost 0 inf + 1917 1550619471.533 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) 1550619471.533 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ 1 1)) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619471.533 * * * * [misc]progress: [ 305 / 327 ] simplifiying candidate # 1550619471.533 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) 1550619471.533 * * [misc]simplify: iters left: 6 (8 enodes) 1550619471.537 * * [misc]simplify: iters left: 5 (27 enodes) 1550619471.546 * * [misc]simplify: iters left: 4 (37 enodes) 1550619471.555 * * [misc]simplify: iters left: 3 (44 enodes) 1550619471.568 * * [misc]simplify: iters left: 2 (52 enodes) 1550619471.586 * * [misc]simplify: iters left: 1 (61 enodes) 1550619471.600 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.600 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.600 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550619471.600 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1550619471.600 * * [misc]simplify: Extracting #4: cost 16 inf + 44 1550619471.601 * * [misc]simplify: Extracting #5: cost 8 inf + 458 1550619471.601 * * [misc]simplify: Extracting #6: cost 2 inf + 1502 1550619471.602 * * [misc]simplify: Extracting #7: cost 0 inf + 1917 1550619471.602 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) 1550619471.602 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) 1) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619471.603 * * * * [misc]progress: [ 306 / 327 ] simplifiying candidate # 1550619471.603 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (* 1/2 k)))) 1550619471.603 * * [misc]simplify: iters left: 6 (8 enodes) 1550619471.607 * * [misc]simplify: iters left: 5 (29 enodes) 1550619471.617 * * [misc]simplify: iters left: 4 (41 enodes) 1550619471.630 * * [misc]simplify: iters left: 3 (47 enodes) 1550619471.643 * * [misc]simplify: iters left: 2 (51 enodes) 1550619471.658 * * [misc]simplify: iters left: 1 (58 enodes) 1550619471.672 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.672 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.672 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619471.672 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550619471.672 * * [misc]simplify: Extracting #4: cost 15 inf + 3 1550619471.672 * * [misc]simplify: Extracting #5: cost 12 inf + 89 1550619471.673 * * [misc]simplify: Extracting #6: cost 5 inf + 421 1550619471.673 * * [misc]simplify: Extracting #7: cost 0 inf + 1757 1550619471.674 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (* 1/2 k)))) 1550619471.674 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (/ 1 (pow n (- 1/2 (* 1/2 k))))))) 1550619471.674 * * * * [misc]progress: [ 307 / 327 ] simplifiying candidate # 1550619471.674 * [enter]simplify: Simplifying (pow n (* 1/2 k)) 1550619471.674 * * [misc]simplify: iters left: 3 (5 enodes) 1550619471.677 * * [misc]simplify: iters left: 2 (16 enodes) 1550619471.681 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.681 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.682 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550619471.682 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1550619471.682 * [exit]simplify: Simplified to (pow n (* k 1/2)) 1550619471.682 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n 1/2))) (pow n (* k 1/2))))) 1550619471.682 * * * * [misc]progress: [ 308 / 327 ] simplifiying candidate # 1550619471.682 * [enter]simplify: Simplifying (pow PI 1/2) 1550619471.682 * * [misc]simplify: iters left: 1 (3 enodes) 1550619471.684 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.684 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.685 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619471.685 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1550619471.685 * [exit]simplify: Simplified to (sqrt PI) 1550619471.685 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt PI) (/ (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) (pow PI (- (* 1/2 k))))))) 1550619471.685 * * * * [misc]progress: [ 309 / 327 ] simplifiying candidate # 1550619471.685 * [enter]simplify: Simplifying (pow PI 1/2) 1550619471.685 * * [misc]simplify: iters left: 1 (3 enodes) 1550619471.687 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.687 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.687 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619471.687 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1550619471.687 * [exit]simplify: Simplified to (sqrt PI) 1550619471.687 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt PI) (/ (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) (pow PI (- (* 1/2 k))))))) 1550619471.688 * * * * [misc]progress: [ 310 / 327 ] simplifiying candidate # 1550619471.688 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) 1550619471.688 * * [misc]simplify: iters left: 6 (8 enodes) 1550619471.693 * * [misc]simplify: iters left: 5 (27 enodes) 1550619471.702 * * [misc]simplify: iters left: 4 (37 enodes) 1550619471.712 * * [misc]simplify: iters left: 3 (44 enodes) 1550619471.724 * * [misc]simplify: iters left: 2 (52 enodes) 1550619471.741 * * [misc]simplify: iters left: 1 (61 enodes) 1550619471.756 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.756 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619471.756 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550619471.756 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550619471.756 * * [misc]simplify: Extracting #4: cost 12 inf + 1 1550619471.756 * * [misc]simplify: Extracting #5: cost 18 inf + 2 1550619471.756 * * [misc]simplify: Extracting #6: cost 14 inf + 88 1550619471.757 * * [misc]simplify: Extracting #7: cost 6 inf + 754 1550619471.757 * * [misc]simplify: Extracting #8: cost 1 inf + 2248 1550619471.758 * * [misc]simplify: Extracting #9: cost 0 inf + 2661 1550619471.758 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1550619471.759 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (/ (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))))) 1550619471.759 * * * * [misc]progress: [ 311 / 327 ] simplifiying candidate # 1550619471.759 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (* 1/2 k)))) 1550619471.759 * * [misc]simplify: iters left: 6 (7 enodes) 1550619471.763 * * [misc]simplify: iters left: 5 (24 enodes) 1550619471.770 * * [misc]simplify: iters left: 4 (34 enodes) 1550619471.780 * * [misc]simplify: iters left: 3 (41 enodes) 1550619471.790 * * [misc]simplify: iters left: 2 (49 enodes) 1550619471.805 * * [misc]simplify: iters left: 1 (58 enodes) 1550619471.819 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.819 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550619471.819 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550619471.819 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550619471.819 * * [misc]simplify: Extracting #4: cost 16 inf + 2 1550619471.820 * * [misc]simplify: Extracting #5: cost 8 inf + 256 1550619471.820 * * [misc]simplify: Extracting #6: cost 3 inf + 796 1550619471.820 * * [misc]simplify: Extracting #7: cost 1 inf + 1422 1550619471.821 * * [misc]simplify: Extracting #8: cost 0 inf + 1755 1550619471.822 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (* k 1/2)))) 1550619471.822 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k)))))))) 1550619471.822 * * * * [misc]progress: [ 312 / 327 ] simplifiying candidate # 1550619471.822 * * * * [misc]progress: [ 313 / 327 ] simplifiying candidate # 1550619471.822 * [enter]simplify: Simplifying (pow n (- 1/2 (* 1/2 k))) 1550619471.822 * * [misc]simplify: iters left: 5 (6 enodes) 1550619471.825 * * [misc]simplify: iters left: 4 (21 enodes) 1550619471.832 * * [misc]simplify: iters left: 3 (31 enodes) 1550619471.841 * * [misc]simplify: iters left: 2 (38 enodes) 1550619471.852 * * [misc]simplify: iters left: 1 (46 enodes) 1550619471.866 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.866 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.866 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619471.866 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619471.866 * * [misc]simplify: Extracting #4: cost 7 inf + 294 1550619471.866 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1550619471.867 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619471.867 * [exit]simplify: Simplified to (pow n (- 1/2 (* k 1/2))) 1550619471.867 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow n (- 1/2 (* k 1/2)))))) 1550619471.867 * * * * [misc]progress: [ 314 / 327 ] simplifiying candidate # 1550619471.867 * [enter]simplify: Simplifying (pow PI 1/2) 1550619471.867 * * [misc]simplify: iters left: 1 (3 enodes) 1550619471.868 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619471.868 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619471.868 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550619471.868 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1550619471.868 * [exit]simplify: Simplified to (sqrt PI) 1550619471.868 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt PI) (* (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))) (pow PI (* 1/2 k)))))) 1550619471.869 * * * * [misc]progress: [ 315 / 327 ] simplifiying candidate #real (real->posit16 (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k)))))))))> 1550619471.869 * * * * [misc]progress: [ 316 / 327 ] simplifiying candidate # 1550619471.869 * [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)))) 1550619471.869 * * [misc]simplify: iters left: 6 (18 enodes) 1550619471.874 * * [misc]simplify: iters left: 5 (73 enodes) 1550619471.889 * * [misc]simplify: iters left: 4 (159 enodes) 1550619471.948 * * [misc]simplify: iters left: 3 (399 enodes) 1550619472.081 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619472.081 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1550619472.081 * * [misc]simplify: Extracting #2: cost 104 inf + 0 1550619472.082 * * [misc]simplify: Extracting #3: cost 163 inf + 982 1550619472.085 * * [misc]simplify: Extracting #4: cost 51 inf + 20937 1550619472.093 * * [misc]simplify: Extracting #5: cost 3 inf + 30644 1550619472.105 * * [misc]simplify: Extracting #6: cost 0 inf + 31349 1550619472.119 * [exit]simplify: Simplified to (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n)) 1550619472.119 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n)))))) 1550619472.120 * * * * [misc]progress: [ 317 / 327 ] simplifiying candidate # 1550619472.120 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1550619472.120 * * [misc]simplify: iters left: 6 (12 enodes) 1550619472.126 * * [misc]simplify: iters left: 5 (52 enodes) 1550619472.136 * * [misc]simplify: iters left: 4 (104 enodes) 1550619472.162 * * [misc]simplify: iters left: 3 (225 enodes) 1550619472.237 * * [misc]simplify: iters left: 2 (497 enodes) 1550619472.510 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619472.510 * * [misc]simplify: Extracting #1: cost 91 inf + 0 1550619472.511 * * [misc]simplify: Extracting #2: cost 166 inf + 74 1550619472.513 * * [misc]simplify: Extracting #3: cost 166 inf + 2778 1550619472.520 * * [misc]simplify: Extracting #4: cost 71 inf + 18250 1550619472.531 * * [misc]simplify: Extracting #5: cost 0 inf + 31695 1550619472.537 * * [misc]simplify: Extracting #6: cost 0 inf + 31581 1550619472.544 * [exit]simplify: Simplified to (exp (* (- 1/2 (* k 1/2)) (log n))) 1550619472.544 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (exp (* (- 1/2 (* k 1/2)) (log n))))))) 1550619472.544 * * * * [misc]progress: [ 318 / 327 ] simplifiying candidate # 1550619472.544 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1550619472.544 * * [misc]simplify: iters left: 6 (12 enodes) 1550619472.548 * * [misc]simplify: iters left: 5 (46 enodes) 1550619472.556 * * [misc]simplify: iters left: 4 (86 enodes) 1550619472.575 * * [misc]simplify: iters left: 3 (214 enodes) 1550619472.640 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619472.640 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550619472.640 * * [misc]simplify: Extracting #2: cost 81 inf + 1 1550619472.641 * * [misc]simplify: Extracting #3: cost 137 inf + 147 1550619472.643 * * [misc]simplify: Extracting #4: cost 105 inf + 4005 1550619472.649 * * [misc]simplify: Extracting #5: cost 20 inf + 21859 1550619472.654 * * [misc]simplify: Extracting #6: cost 0 inf + 27013 1550619472.660 * * [misc]simplify: Extracting #7: cost 0 inf + 26983 1550619472.666 * [exit]simplify: Simplified to (exp (* (- 1/2 (* 1/2 k)) (log n))) 1550619472.666 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (log n))))))) 1550619472.666 * * * * [misc]progress: [ 319 / 327 ] simplifiying candidate # 1550619472.667 * [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)))) 1550619472.667 * * [misc]simplify: iters left: 6 (18 enodes) 1550619472.672 * * [misc]simplify: iters left: 5 (73 enodes) 1550619472.688 * * [misc]simplify: iters left: 4 (150 enodes) 1550619472.747 * * [misc]simplify: iters left: 3 (376 enodes) 1550619472.866 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619472.866 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550619472.866 * * [misc]simplify: Extracting #2: cost 116 inf + 0 1550619472.867 * * [misc]simplify: Extracting #3: cost 170 inf + 1013 1550619472.871 * * [misc]simplify: Extracting #4: cost 73 inf + 17952 1550619472.878 * * [misc]simplify: Extracting #5: cost 0 inf + 33943 1550619472.886 * * [misc]simplify: Extracting #6: cost 0 inf + 33104 1550619472.894 * * [misc]simplify: Extracting #7: cost 0 inf + 33023 1550619472.902 * * [misc]simplify: Extracting #8: cost 0 inf + 33022 1550619472.915 * [exit]simplify: Simplified to (+ (* (- (* 1/8 (* (* k (log PI)) (* k (log PI)))) (* 1/2 (* k (log PI)))) (sqrt PI)) (sqrt PI)) 1550619472.915 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (+ (* (- (* 1/8 (* (* k (log PI)) (* k (log PI)))) (* 1/2 (* k (log PI)))) (sqrt PI)) (sqrt PI)) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619472.916 * * * * [misc]progress: [ 320 / 327 ] simplifiying candidate # 1550619472.916 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1550619472.916 * * [misc]simplify: iters left: 5 (6 enodes) 1550619472.919 * * [misc]simplify: iters left: 4 (21 enodes) 1550619472.926 * * [misc]simplify: iters left: 3 (31 enodes) 1550619472.934 * * [misc]simplify: iters left: 2 (38 enodes) 1550619472.940 * * [misc]simplify: iters left: 1 (46 enodes) 1550619472.947 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619472.947 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619472.947 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619472.947 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619472.947 * * [misc]simplify: Extracting #4: cost 7 inf + 294 1550619472.949 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1550619472.949 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619472.950 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1550619472.950 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619472.950 * * * * [misc]progress: [ 321 / 327 ] simplifiying candidate # 1550619472.950 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1550619472.950 * * [misc]simplify: iters left: 5 (6 enodes) 1550619472.952 * * [misc]simplify: iters left: 4 (21 enodes) 1550619472.955 * * [misc]simplify: iters left: 3 (31 enodes) 1550619472.960 * * [misc]simplify: iters left: 2 (38 enodes) 1550619472.965 * * [misc]simplify: iters left: 1 (46 enodes) 1550619472.973 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550619472.973 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550619472.973 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550619472.973 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550619472.973 * * [misc]simplify: Extracting #4: cost 7 inf + 294 1550619472.973 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1550619472.973 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1550619472.974 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1550619472.974 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))) 1550619472.974 * * * * [misc]progress: [ 322 / 327 ] simplifiying candidate # 1550619472.974 * [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))))))))))))))) 1550619472.974 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619472.974 * * * * [misc]progress: [ 323 / 327 ] simplifiying candidate # 1550619472.974 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 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 PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1550619472.974 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619472.974 * * * * [misc]progress: [ 324 / 327 ] simplifiying candidate # 1550619472.975 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 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)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1550619472.975 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550619472.975 * * * * [misc]progress: [ 325 / 327 ] simplifiying candidate # 1550619472.975 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (+ (* +nan.0 (* n (* PI k))) (- (* +nan.0 (* n PI))))))))))) 1550619472.975 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) +nan.0)) 1550619472.975 * * * * [misc]progress: [ 326 / 327 ] simplifiying candidate # 1550619472.975 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1550619472.975 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) +nan.0)) 1550619472.975 * * * * [misc]progress: [ 327 / 327 ] simplifiying candidate # 1550619472.976 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))))))))) 1550619472.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) +nan.0)) 1550619472.976 * * * [misc]progress: adding candidates to table 1550619477.512 * [misc]progress: [Phase 3 of 3] Extracting. 1550619477.512 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1550619477.514 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1550619477.514 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1550619477.569 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1550619477.651 * * * [misc]regime: Found split indices: #