1548151308.171 * [misc]progress: [Phase 1 of 3] Setting up. 1548151308.171 * * * [misc]progress: [1/2] Preparing points 1548151308.380 * * * [misc]progress: [2/2] Setting up program. 1548151308.386 * [misc]progress: [Phase 2 of 3] Improving. 1548151308.386 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1548151308.386 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1548151308.386 * * [misc]simplify: iters left: 6 (13 enodes) 1548151308.391 * * [misc]simplify: iters left: 5 (28 enodes) 1548151308.399 * * [misc]simplify: iters left: 4 (44 enodes) 1548151308.408 * * [misc]simplify: iters left: 3 (54 enodes) 1548151308.413 * * [misc]simplify: iters left: 2 (57 enodes) 1548151308.419 * * [misc]simplify: iters left: 1 (65 enodes) 1548151308.426 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1548151308.426 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1548151308.433 * * [misc]progress: iteration 1 / 4 1548151308.433 * * * [misc]progress: picking best candidate 1548151308.458 * * * * [misc]pick: Picked # 1548151308.458 * * * [misc]progress: localizing error 1548151308.492 * * * [misc]progress: generating rewritten candidates 1548151308.492 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1548151308.494 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1548151308.495 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1548151308.500 * * * [misc]progress: generating series expansions 1548151308.500 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1548151308.501 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1548151308.501 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1548151308.501 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1548151308.501 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1548151308.501 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1548151308.501 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151308.501 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.501 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151308.501 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.501 * [misc]taylor: Taking taylor expansion of k in k 1548151308.501 * [misc]backup-simplify: Simplify 0 into 0 1548151308.501 * [misc]backup-simplify: Simplify 1 into 1 1548151308.501 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1548151308.501 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1548151308.501 * [misc]taylor: Taking taylor expansion of 2 in k 1548151308.501 * [misc]backup-simplify: Simplify 2 into 2 1548151308.501 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1548151308.501 * [misc]taylor: Taking taylor expansion of n in k 1548151308.501 * [misc]backup-simplify: Simplify n into n 1548151308.501 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.501 * [misc]backup-simplify: Simplify PI into PI 1548151308.501 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1548151308.501 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1548151308.501 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1548151308.501 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151308.502 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.502 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151308.502 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1548151308.502 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1548151308.502 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1548151308.502 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1548151308.502 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1548151308.502 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151308.502 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.502 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151308.502 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.502 * [misc]taylor: Taking taylor expansion of k in n 1548151308.502 * [misc]backup-simplify: Simplify k into k 1548151308.502 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1548151308.502 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548151308.502 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.502 * [misc]backup-simplify: Simplify 2 into 2 1548151308.502 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151308.502 * [misc]taylor: Taking taylor expansion of n in n 1548151308.502 * [misc]backup-simplify: Simplify 0 into 0 1548151308.502 * [misc]backup-simplify: Simplify 1 into 1 1548151308.502 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.502 * [misc]backup-simplify: Simplify PI into PI 1548151308.502 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151308.503 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151308.503 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151308.503 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548151308.504 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.504 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151308.504 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151308.504 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151308.504 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.504 * [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)))) 1548151308.505 * [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))))) 1548151308.505 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1548151308.505 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1548151308.505 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1548151308.505 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151308.505 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.505 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151308.505 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.505 * [misc]taylor: Taking taylor expansion of k in n 1548151308.505 * [misc]backup-simplify: Simplify k into k 1548151308.505 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1548151308.505 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548151308.505 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.505 * [misc]backup-simplify: Simplify 2 into 2 1548151308.505 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151308.505 * [misc]taylor: Taking taylor expansion of n in n 1548151308.505 * [misc]backup-simplify: Simplify 0 into 0 1548151308.505 * [misc]backup-simplify: Simplify 1 into 1 1548151308.505 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.505 * [misc]backup-simplify: Simplify PI into PI 1548151308.505 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151308.505 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151308.506 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151308.506 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548151308.507 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.507 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151308.507 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151308.507 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151308.507 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.507 * [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)))) 1548151308.508 * [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))))) 1548151308.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1548151308.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1548151308.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151308.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.508 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151308.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.508 * [misc]taylor: Taking taylor expansion of k in k 1548151308.508 * [misc]backup-simplify: Simplify 0 into 0 1548151308.508 * [misc]backup-simplify: Simplify 1 into 1 1548151308.508 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1548151308.508 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151308.508 * [misc]taylor: Taking taylor expansion of n in k 1548151308.508 * [misc]backup-simplify: Simplify n into n 1548151308.508 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151308.508 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1548151308.508 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1548151308.508 * [misc]taylor: Taking taylor expansion of 2 in k 1548151308.508 * [misc]backup-simplify: Simplify 2 into 2 1548151308.508 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.508 * [misc]backup-simplify: Simplify PI into PI 1548151308.508 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.509 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.509 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151308.509 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.509 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151308.509 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.510 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1548151308.510 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1548151308.510 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1548151308.511 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548151308.512 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1548151308.514 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548151308.514 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548151308.514 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.514 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.515 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.516 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1548151308.517 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151308.517 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.517 * [misc]backup-simplify: Simplify 0 into 0 1548151308.517 * [misc]backup-simplify: Simplify 0 into 0 1548151308.518 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548151308.519 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548151308.522 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548151308.522 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.522 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151308.522 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151308.522 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151308.523 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1548151308.525 * [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))))))) 1548151308.526 * [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))))))) 1548151308.528 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1548151308.529 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1548151308.534 * [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 1548151308.534 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548151308.535 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.535 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.535 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.536 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1548151308.538 * [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 1548151308.538 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.538 * [misc]backup-simplify: Simplify 0 into 0 1548151308.538 * [misc]backup-simplify: Simplify 0 into 0 1548151308.539 * [misc]backup-simplify: Simplify 0 into 0 1548151308.540 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548151308.541 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548151308.546 * [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 1548151308.546 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.546 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151308.546 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1548151308.549 * [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))))) 1548151308.552 * [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))))) 1548151308.557 * [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))))) 1548151308.557 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1548151308.557 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1548151308.557 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151308.557 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1548151308.557 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1548151308.557 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151308.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.558 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151308.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.558 * [misc]taylor: Taking taylor expansion of k in k 1548151308.558 * [misc]backup-simplify: Simplify 0 into 0 1548151308.558 * [misc]backup-simplify: Simplify 1 into 1 1548151308.558 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.558 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1548151308.558 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1548151308.558 * [misc]taylor: Taking taylor expansion of 2 in k 1548151308.558 * [misc]backup-simplify: Simplify 2 into 2 1548151308.558 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1548151308.558 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.558 * [misc]backup-simplify: Simplify PI into PI 1548151308.558 * [misc]taylor: Taking taylor expansion of n in k 1548151308.558 * [misc]backup-simplify: Simplify n into n 1548151308.558 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1548151308.558 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1548151308.559 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1548151308.559 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151308.559 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151308.559 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151308.559 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1548151308.559 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1548151308.559 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151308.560 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1548151308.560 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1548151308.560 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151308.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.560 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151308.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.560 * [misc]taylor: Taking taylor expansion of k in n 1548151308.560 * [misc]backup-simplify: Simplify k into k 1548151308.560 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.560 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1548151308.560 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548151308.560 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.560 * [misc]backup-simplify: Simplify 2 into 2 1548151308.560 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.560 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.560 * [misc]backup-simplify: Simplify PI into PI 1548151308.560 * [misc]taylor: Taking taylor expansion of n in n 1548151308.560 * [misc]backup-simplify: Simplify 0 into 0 1548151308.560 * [misc]backup-simplify: Simplify 1 into 1 1548151308.561 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.561 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.562 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.562 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151308.562 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151308.562 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151308.563 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.563 * [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))) 1548151308.564 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1548151308.564 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151308.564 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1548151308.564 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1548151308.564 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151308.564 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.564 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151308.564 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.564 * [misc]taylor: Taking taylor expansion of k in n 1548151308.564 * [misc]backup-simplify: Simplify k into k 1548151308.564 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.564 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1548151308.564 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548151308.564 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.564 * [misc]backup-simplify: Simplify 2 into 2 1548151308.564 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.564 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.564 * [misc]backup-simplify: Simplify PI into PI 1548151308.564 * [misc]taylor: Taking taylor expansion of n in n 1548151308.564 * [misc]backup-simplify: Simplify 0 into 0 1548151308.564 * [misc]backup-simplify: Simplify 1 into 1 1548151308.565 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.565 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.565 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.565 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151308.565 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151308.566 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151308.566 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.567 * [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))) 1548151308.567 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1548151308.567 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1548151308.568 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1548151308.568 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151308.568 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.568 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151308.568 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.568 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.568 * [misc]taylor: Taking taylor expansion of k in k 1548151308.568 * [misc]backup-simplify: Simplify 0 into 0 1548151308.568 * [misc]backup-simplify: Simplify 1 into 1 1548151308.568 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.568 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1548151308.568 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1548151308.568 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1548151308.568 * [misc]taylor: Taking taylor expansion of 2 in k 1548151308.568 * [misc]backup-simplify: Simplify 2 into 2 1548151308.568 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.568 * [misc]backup-simplify: Simplify PI into PI 1548151308.568 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.569 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.569 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151308.569 * [misc]taylor: Taking taylor expansion of n in k 1548151308.569 * [misc]backup-simplify: Simplify n into n 1548151308.569 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151308.569 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151308.569 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151308.569 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151308.569 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548151308.570 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1548151308.570 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1548151308.571 * [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)))) 1548151308.572 * [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)))) 1548151308.573 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548151308.573 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548151308.576 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548151308.576 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151308.576 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151308.576 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.577 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.577 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.578 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1548151308.579 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151308.580 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.580 * [misc]backup-simplify: Simplify 0 into 0 1548151308.580 * [misc]backup-simplify: Simplify 0 into 0 1548151308.580 * [misc]backup-simplify: Simplify 0 into 0 1548151308.581 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.582 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548151308.593 * [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 1548151308.594 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.594 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151308.594 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.594 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.595 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.596 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1548151308.598 * [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 1548151308.598 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.598 * [misc]backup-simplify: Simplify 0 into 0 1548151308.598 * [misc]backup-simplify: Simplify 0 into 0 1548151308.598 * [misc]backup-simplify: Simplify 0 into 0 1548151308.598 * [misc]backup-simplify: Simplify 0 into 0 1548151308.600 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.602 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548151308.609 * [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 1548151308.610 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.610 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548151308.610 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.610 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.611 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.612 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1548151308.615 * [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 1548151308.615 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.615 * [misc]backup-simplify: Simplify 0 into 0 1548151308.615 * [misc]backup-simplify: Simplify 0 into 0 1548151308.616 * [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))))) 1548151308.616 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151308.616 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1548151308.616 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151308.616 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1548151308.616 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1548151308.616 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151308.616 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151308.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.617 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.617 * [misc]taylor: Taking taylor expansion of k in k 1548151308.617 * [misc]backup-simplify: Simplify 0 into 0 1548151308.617 * [misc]backup-simplify: Simplify 1 into 1 1548151308.617 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.617 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1548151308.617 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1548151308.617 * [misc]taylor: Taking taylor expansion of -2 in k 1548151308.617 * [misc]backup-simplify: Simplify -2 into -2 1548151308.617 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1548151308.617 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.617 * [misc]backup-simplify: Simplify PI into PI 1548151308.617 * [misc]taylor: Taking taylor expansion of n in k 1548151308.617 * [misc]backup-simplify: Simplify n into n 1548151308.617 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1548151308.617 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1548151308.617 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1548151308.617 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151308.618 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151308.618 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1548151308.618 * [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))) 1548151308.618 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151308.618 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1548151308.618 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1548151308.618 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151308.618 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151308.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.618 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.618 * [misc]taylor: Taking taylor expansion of k in n 1548151308.618 * [misc]backup-simplify: Simplify k into k 1548151308.618 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.618 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1548151308.618 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548151308.618 * [misc]taylor: Taking taylor expansion of -2 in n 1548151308.618 * [misc]backup-simplify: Simplify -2 into -2 1548151308.618 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.618 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.618 * [misc]backup-simplify: Simplify PI into PI 1548151308.619 * [misc]taylor: Taking taylor expansion of n in n 1548151308.619 * [misc]backup-simplify: Simplify 0 into 0 1548151308.619 * [misc]backup-simplify: Simplify 1 into 1 1548151308.619 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.619 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548151308.620 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548151308.620 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151308.620 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151308.620 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548151308.621 * [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))) 1548151308.622 * [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)))) 1548151308.622 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151308.622 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1548151308.622 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1548151308.622 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151308.622 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151308.622 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.622 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.622 * [misc]taylor: Taking taylor expansion of k in n 1548151308.622 * [misc]backup-simplify: Simplify k into k 1548151308.622 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.622 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.622 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1548151308.622 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548151308.622 * [misc]taylor: Taking taylor expansion of -2 in n 1548151308.622 * [misc]backup-simplify: Simplify -2 into -2 1548151308.622 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.622 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.622 * [misc]backup-simplify: Simplify PI into PI 1548151308.622 * [misc]taylor: Taking taylor expansion of n in n 1548151308.622 * [misc]backup-simplify: Simplify 0 into 0 1548151308.622 * [misc]backup-simplify: Simplify 1 into 1 1548151308.622 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.623 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548151308.623 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548151308.623 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151308.623 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151308.624 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548151308.625 * [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))) 1548151308.625 * [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)))) 1548151308.625 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1548151308.625 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1548151308.625 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151308.625 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151308.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.625 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.625 * [misc]taylor: Taking taylor expansion of k in k 1548151308.625 * [misc]backup-simplify: Simplify 0 into 0 1548151308.625 * [misc]backup-simplify: Simplify 1 into 1 1548151308.626 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.626 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.626 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1548151308.626 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1548151308.626 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1548151308.626 * [misc]taylor: Taking taylor expansion of -2 in k 1548151308.626 * [misc]backup-simplify: Simplify -2 into -2 1548151308.626 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.626 * [misc]backup-simplify: Simplify PI into PI 1548151308.626 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548151308.627 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548151308.627 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151308.627 * [misc]taylor: Taking taylor expansion of n in k 1548151308.627 * [misc]backup-simplify: Simplify n into n 1548151308.627 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151308.627 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151308.627 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151308.627 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548151308.628 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1548151308.628 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1548151308.629 * [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)))) 1548151308.629 * [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)))) 1548151308.630 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548151308.631 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1548151308.634 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1548151308.634 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151308.634 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151308.634 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.635 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548151308.635 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1548151308.637 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151308.637 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.637 * [misc]backup-simplify: Simplify 0 into 0 1548151308.637 * [misc]backup-simplify: Simplify 0 into 0 1548151308.637 * [misc]backup-simplify: Simplify 0 into 0 1548151308.639 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.639 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1548151308.644 * [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 1548151308.644 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151308.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.645 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548151308.646 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1548151308.648 * [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 1548151308.648 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.648 * [misc]backup-simplify: Simplify 0 into 0 1548151308.648 * [misc]backup-simplify: Simplify 0 into 0 1548151308.648 * [misc]backup-simplify: Simplify 0 into 0 1548151308.648 * [misc]backup-simplify: Simplify 0 into 0 1548151308.650 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.652 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548151308.660 * [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 1548151308.660 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.660 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548151308.661 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.661 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548151308.662 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1548151308.665 * [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 1548151308.665 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.665 * [misc]backup-simplify: Simplify 0 into 0 1548151308.665 * [misc]backup-simplify: Simplify 0 into 0 1548151308.666 * [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))))) 1548151308.666 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1548151308.666 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1548151308.666 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1548151308.666 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548151308.666 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.666 * [misc]backup-simplify: Simplify 2 into 2 1548151308.666 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151308.666 * [misc]taylor: Taking taylor expansion of n in n 1548151308.666 * [misc]backup-simplify: Simplify 0 into 0 1548151308.666 * [misc]backup-simplify: Simplify 1 into 1 1548151308.666 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.666 * [misc]backup-simplify: Simplify PI into PI 1548151308.666 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548151308.666 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.666 * [misc]backup-simplify: Simplify 2 into 2 1548151308.666 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151308.666 * [misc]taylor: Taking taylor expansion of n in n 1548151308.666 * [misc]backup-simplify: Simplify 0 into 0 1548151308.666 * [misc]backup-simplify: Simplify 1 into 1 1548151308.666 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.666 * [misc]backup-simplify: Simplify PI into PI 1548151308.666 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151308.667 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151308.667 * [misc]backup-simplify: Simplify 0 into 0 1548151308.667 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151308.667 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548151308.668 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.668 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548151308.669 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1548151308.669 * [misc]backup-simplify: Simplify 0 into 0 1548151308.670 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1548151308.670 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1548151308.670 * [misc]backup-simplify: Simplify 0 into 0 1548151308.672 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1548151308.673 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1548151308.673 * [misc]backup-simplify: Simplify 0 into 0 1548151308.674 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1548151308.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1548151308.676 * [misc]backup-simplify: Simplify 0 into 0 1548151308.678 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1548151308.680 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1548151308.680 * [misc]backup-simplify: Simplify 0 into 0 1548151308.682 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1548151308.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1548151308.685 * [misc]backup-simplify: Simplify 0 into 0 1548151308.685 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1548151308.685 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1548151308.685 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1548151308.685 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548151308.685 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.685 * [misc]backup-simplify: Simplify 2 into 2 1548151308.685 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.685 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.685 * [misc]backup-simplify: Simplify PI into PI 1548151308.685 * [misc]taylor: Taking taylor expansion of n in n 1548151308.685 * [misc]backup-simplify: Simplify 0 into 0 1548151308.685 * [misc]backup-simplify: Simplify 1 into 1 1548151308.685 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.686 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548151308.686 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.686 * [misc]backup-simplify: Simplify 2 into 2 1548151308.686 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.686 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.686 * [misc]backup-simplify: Simplify PI into PI 1548151308.686 * [misc]taylor: Taking taylor expansion of n in n 1548151308.686 * [misc]backup-simplify: Simplify 0 into 0 1548151308.686 * [misc]backup-simplify: Simplify 1 into 1 1548151308.686 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.686 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.686 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.687 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548151308.687 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548151308.687 * [misc]backup-simplify: Simplify 0 into 0 1548151308.688 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.689 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548151308.689 * [misc]backup-simplify: Simplify 0 into 0 1548151308.690 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.690 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548151308.690 * [misc]backup-simplify: Simplify 0 into 0 1548151308.691 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.693 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1548151308.693 * [misc]backup-simplify: Simplify 0 into 0 1548151308.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.698 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1548151308.698 * [misc]backup-simplify: Simplify 0 into 0 1548151308.700 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.704 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1548151308.704 * [misc]backup-simplify: Simplify 0 into 0 1548151308.704 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1548151308.704 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1548151308.704 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1548151308.704 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548151308.704 * [misc]taylor: Taking taylor expansion of -2 in n 1548151308.704 * [misc]backup-simplify: Simplify -2 into -2 1548151308.704 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.704 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.704 * [misc]backup-simplify: Simplify PI into PI 1548151308.704 * [misc]taylor: Taking taylor expansion of n in n 1548151308.704 * [misc]backup-simplify: Simplify 0 into 0 1548151308.704 * [misc]backup-simplify: Simplify 1 into 1 1548151308.705 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.705 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548151308.705 * [misc]taylor: Taking taylor expansion of -2 in n 1548151308.705 * [misc]backup-simplify: Simplify -2 into -2 1548151308.705 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.705 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.705 * [misc]backup-simplify: Simplify PI into PI 1548151308.705 * [misc]taylor: Taking taylor expansion of n in n 1548151308.705 * [misc]backup-simplify: Simplify 0 into 0 1548151308.705 * [misc]backup-simplify: Simplify 1 into 1 1548151308.705 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.705 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548151308.706 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548151308.707 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548151308.707 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1548151308.707 * [misc]backup-simplify: Simplify 0 into 0 1548151308.709 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.709 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1548151308.709 * [misc]backup-simplify: Simplify 0 into 0 1548151308.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.711 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548151308.711 * [misc]backup-simplify: Simplify 0 into 0 1548151308.712 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.713 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1548151308.713 * [misc]backup-simplify: Simplify 0 into 0 1548151308.715 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.716 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1548151308.716 * [misc]backup-simplify: Simplify 0 into 0 1548151308.718 * [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 1548151308.720 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1548151308.720 * [misc]backup-simplify: Simplify 0 into 0 1548151308.721 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1548151308.721 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1548151308.721 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1548151308.721 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1548151308.721 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1548151308.721 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151308.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.721 * [misc]taylor: Taking taylor expansion of k in k 1548151308.721 * [misc]backup-simplify: Simplify 0 into 0 1548151308.721 * [misc]backup-simplify: Simplify 1 into 1 1548151308.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.721 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151308.722 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151308.722 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1548151308.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1548151308.722 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1548151308.722 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151308.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.722 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151308.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.722 * [misc]taylor: Taking taylor expansion of k in k 1548151308.722 * [misc]backup-simplify: Simplify 0 into 0 1548151308.722 * [misc]backup-simplify: Simplify 1 into 1 1548151308.722 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1548151308.722 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1548151308.722 * [misc]taylor: Taking taylor expansion of 2 in k 1548151308.722 * [misc]backup-simplify: Simplify 2 into 2 1548151308.722 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1548151308.722 * [misc]taylor: Taking taylor expansion of n in k 1548151308.722 * [misc]backup-simplify: Simplify n into n 1548151308.722 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.722 * [misc]backup-simplify: Simplify PI into PI 1548151308.722 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1548151308.722 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1548151308.722 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1548151308.722 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151308.722 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.722 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151308.722 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1548151308.722 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1548151308.722 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of k in n 1548151308.723 * [misc]backup-simplify: Simplify k into k 1548151308.723 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.723 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548151308.723 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151308.723 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548151308.723 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.723 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.723 * [misc]taylor: Taking taylor expansion of k in n 1548151308.723 * [misc]backup-simplify: Simplify k into k 1548151308.723 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.723 * [misc]backup-simplify: Simplify 2 into 2 1548151308.723 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151308.723 * [misc]taylor: Taking taylor expansion of n in n 1548151308.723 * [misc]backup-simplify: Simplify 0 into 0 1548151308.723 * [misc]backup-simplify: Simplify 1 into 1 1548151308.723 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.723 * [misc]backup-simplify: Simplify PI into PI 1548151308.723 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151308.723 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151308.724 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151308.724 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548151308.724 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.724 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151308.725 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151308.725 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151308.725 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.725 * [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)))) 1548151308.726 * [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))))) 1548151308.726 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of k in n 1548151308.726 * [misc]backup-simplify: Simplify k into k 1548151308.726 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.726 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548151308.726 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151308.726 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548151308.726 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.726 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.726 * [misc]taylor: Taking taylor expansion of k in n 1548151308.726 * [misc]backup-simplify: Simplify k into k 1548151308.726 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.726 * [misc]backup-simplify: Simplify 2 into 2 1548151308.726 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151308.726 * [misc]taylor: Taking taylor expansion of n in n 1548151308.726 * [misc]backup-simplify: Simplify 0 into 0 1548151308.726 * [misc]backup-simplify: Simplify 1 into 1 1548151308.726 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.726 * [misc]backup-simplify: Simplify PI into PI 1548151308.726 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151308.727 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151308.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151308.727 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548151308.728 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.728 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151308.728 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151308.728 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151308.728 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.729 * [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)))) 1548151308.729 * [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))))) 1548151308.729 * [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))) 1548151308.729 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1548151308.729 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1548151308.729 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1548151308.729 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151308.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.729 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151308.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.730 * [misc]taylor: Taking taylor expansion of k in k 1548151308.730 * [misc]backup-simplify: Simplify 0 into 0 1548151308.730 * [misc]backup-simplify: Simplify 1 into 1 1548151308.730 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1548151308.730 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151308.730 * [misc]taylor: Taking taylor expansion of n in k 1548151308.730 * [misc]backup-simplify: Simplify n into n 1548151308.730 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151308.730 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1548151308.730 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1548151308.730 * [misc]taylor: Taking taylor expansion of 2 in k 1548151308.730 * [misc]backup-simplify: Simplify 2 into 2 1548151308.730 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.730 * [misc]backup-simplify: Simplify PI into PI 1548151308.730 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.730 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.730 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151308.730 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.731 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151308.731 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.731 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1548151308.731 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1548151308.731 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151308.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.732 * [misc]taylor: Taking taylor expansion of k in k 1548151308.732 * [misc]backup-simplify: Simplify 0 into 0 1548151308.732 * [misc]backup-simplify: Simplify 1 into 1 1548151308.732 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.732 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151308.732 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151308.733 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1548151308.733 * [misc]backup-simplify: Simplify 0 into 0 1548151308.734 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548151308.734 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1548151308.736 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548151308.736 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548151308.736 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.737 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.737 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1548151308.739 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151308.739 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1548151308.739 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.739 * [misc]backup-simplify: Simplify 0 into 0 1548151308.740 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548151308.741 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548151308.743 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548151308.744 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.744 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151308.744 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151308.744 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151308.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1548151308.746 * [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))))))) 1548151308.748 * [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))))))) 1548151308.749 * [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))))))) 1548151308.751 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1548151308.752 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1548151308.757 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1548151308.757 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548151308.757 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.758 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.758 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.759 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1548151308.761 * [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 1548151308.761 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.762 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1548151308.763 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1548151308.763 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.763 * [misc]backup-simplify: Simplify 0 into 0 1548151308.763 * [misc]backup-simplify: Simplify 0 into 0 1548151308.763 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151308.764 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151308.766 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548151308.767 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548151308.771 * [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 1548151308.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.772 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151308.772 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.772 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.773 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1548151308.775 * [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))))) 1548151308.779 * [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)))))))) 1548151308.782 * [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)))))))) 1548151308.784 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1548151308.787 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1548151308.794 * [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 1548151308.795 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1548151308.795 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.795 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.795 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548151308.796 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1548151308.800 * [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 1548151308.800 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.801 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1548151308.802 * [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 1548151308.802 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.802 * [misc]backup-simplify: Simplify 0 into 0 1548151308.802 * [misc]backup-simplify: Simplify 0 into 0 1548151308.802 * [misc]backup-simplify: Simplify 0 into 0 1548151308.802 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.803 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151308.806 * [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 1548151308.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548151308.815 * [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 1548151308.815 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.816 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548151308.816 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.816 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.817 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1548151308.819 * [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))))))) 1548151308.824 * [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)))))))))))))) 1548151308.828 * [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)))))))))))))) 1548151308.834 * [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)))))))))))))))))))))) 1548151308.834 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1548151308.834 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1548151308.834 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151308.834 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151308.834 * [misc]taylor: Taking taylor expansion of k in k 1548151308.834 * [misc]backup-simplify: Simplify 0 into 0 1548151308.834 * [misc]backup-simplify: Simplify 1 into 1 1548151308.835 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151308.835 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151308.835 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151308.835 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1548151308.835 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1548151308.835 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151308.835 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.835 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151308.835 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.835 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.835 * [misc]taylor: Taking taylor expansion of k in k 1548151308.835 * [misc]backup-simplify: Simplify 0 into 0 1548151308.835 * [misc]backup-simplify: Simplify 1 into 1 1548151308.835 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.835 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1548151308.835 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1548151308.835 * [misc]taylor: Taking taylor expansion of 2 in k 1548151308.835 * [misc]backup-simplify: Simplify 2 into 2 1548151308.835 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1548151308.835 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.835 * [misc]backup-simplify: Simplify PI into PI 1548151308.835 * [misc]taylor: Taking taylor expansion of n in k 1548151308.835 * [misc]backup-simplify: Simplify n into n 1548151308.835 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1548151308.836 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1548151308.836 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1548151308.836 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151308.836 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151308.836 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151308.836 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1548151308.836 * [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)))) 1548151308.836 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151308.836 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548151308.836 * [misc]taylor: Taking taylor expansion of k in n 1548151308.836 * [misc]backup-simplify: Simplify k into k 1548151308.836 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548151308.836 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548151308.836 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151308.836 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1548151308.836 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1548151308.836 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151308.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.836 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151308.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.836 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.837 * [misc]taylor: Taking taylor expansion of k in n 1548151308.837 * [misc]backup-simplify: Simplify k into k 1548151308.837 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.837 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1548151308.837 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548151308.837 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.837 * [misc]backup-simplify: Simplify 2 into 2 1548151308.837 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.837 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.837 * [misc]backup-simplify: Simplify PI into PI 1548151308.837 * [misc]taylor: Taking taylor expansion of n in n 1548151308.837 * [misc]backup-simplify: Simplify 0 into 0 1548151308.837 * [misc]backup-simplify: Simplify 1 into 1 1548151308.837 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.837 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.837 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.837 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151308.837 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151308.838 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151308.838 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.838 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1548151308.839 * [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)))) 1548151308.839 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of k in n 1548151308.839 * [misc]backup-simplify: Simplify k into k 1548151308.839 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548151308.839 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548151308.839 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.839 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.839 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of k in n 1548151308.839 * [misc]backup-simplify: Simplify k into k 1548151308.839 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.839 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of 2 in n 1548151308.839 * [misc]backup-simplify: Simplify 2 into 2 1548151308.839 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.839 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.839 * [misc]backup-simplify: Simplify PI into PI 1548151308.839 * [misc]taylor: Taking taylor expansion of n in n 1548151308.839 * [misc]backup-simplify: Simplify 0 into 0 1548151308.839 * [misc]backup-simplify: Simplify 1 into 1 1548151308.839 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.840 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.840 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.840 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151308.840 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151308.840 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151308.840 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.841 * [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))) 1548151308.841 * [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)))) 1548151308.842 * [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)) 1548151308.842 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1548151308.842 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1548151308.842 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1548151308.842 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151308.842 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.842 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151308.842 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.842 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.842 * [misc]taylor: Taking taylor expansion of k in k 1548151308.842 * [misc]backup-simplify: Simplify 0 into 0 1548151308.842 * [misc]backup-simplify: Simplify 1 into 1 1548151308.842 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.842 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1548151308.842 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1548151308.842 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1548151308.842 * [misc]taylor: Taking taylor expansion of 2 in k 1548151308.842 * [misc]backup-simplify: Simplify 2 into 2 1548151308.842 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.842 * [misc]backup-simplify: Simplify PI into PI 1548151308.842 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548151308.843 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548151308.843 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151308.843 * [misc]taylor: Taking taylor expansion of n in k 1548151308.843 * [misc]backup-simplify: Simplify n into n 1548151308.843 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151308.843 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151308.843 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151308.843 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151308.843 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548151308.843 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1548151308.844 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1548151308.845 * [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)))) 1548151308.845 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151308.845 * [misc]taylor: Taking taylor expansion of k in k 1548151308.845 * [misc]backup-simplify: Simplify 0 into 0 1548151308.845 * [misc]backup-simplify: Simplify 1 into 1 1548151308.845 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151308.846 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151308.846 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1548151308.846 * [misc]backup-simplify: Simplify 0 into 0 1548151308.847 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548151308.848 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548151308.851 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548151308.851 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151308.851 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151308.851 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.851 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.852 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.853 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1548151308.854 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151308.855 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1548151308.855 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.855 * [misc]backup-simplify: Simplify 0 into 0 1548151308.855 * [misc]backup-simplify: Simplify 0 into 0 1548151308.856 * [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)))))) 1548151308.856 * [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)))))) 1548151308.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.859 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548151308.863 * [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 1548151308.863 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.864 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151308.864 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.864 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.865 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.865 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1548151308.868 * [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 1548151308.868 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1548151308.869 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1548151308.869 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.869 * [misc]backup-simplify: Simplify 0 into 0 1548151308.869 * [misc]backup-simplify: Simplify 0 into 0 1548151308.869 * [misc]backup-simplify: Simplify 0 into 0 1548151308.870 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151308.871 * [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)))))) 1548151308.872 * [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)))))) 1548151308.874 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.875 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548151308.883 * [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 1548151308.883 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.883 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548151308.883 * [misc]backup-simplify: Simplify (- 0) into 0 1548151308.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548151308.886 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1548151308.889 * [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 1548151308.890 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1548151308.891 * [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 1548151308.891 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.891 * [misc]backup-simplify: Simplify 0 into 0 1548151308.891 * [misc]backup-simplify: Simplify 0 into 0 1548151308.891 * [misc]backup-simplify: Simplify 0 into 0 1548151308.891 * [misc]backup-simplify: Simplify 0 into 0 1548151308.892 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151308.893 * [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)))))) 1548151308.894 * [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)))))) 1548151308.896 * [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)))))))) 1548151308.897 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1548151308.897 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1548151308.897 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1548151308.897 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151308.897 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1548151308.897 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1548151308.897 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151308.897 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151308.897 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.897 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.897 * [misc]taylor: Taking taylor expansion of k in k 1548151308.897 * [misc]backup-simplify: Simplify 0 into 0 1548151308.897 * [misc]backup-simplify: Simplify 1 into 1 1548151308.898 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.898 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.898 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1548151308.898 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1548151308.898 * [misc]taylor: Taking taylor expansion of -2 in k 1548151308.898 * [misc]backup-simplify: Simplify -2 into -2 1548151308.898 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1548151308.898 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.898 * [misc]backup-simplify: Simplify PI into PI 1548151308.898 * [misc]taylor: Taking taylor expansion of n in k 1548151308.898 * [misc]backup-simplify: Simplify n into n 1548151308.898 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1548151308.898 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1548151308.898 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1548151308.898 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151308.899 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151308.899 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1548151308.899 * [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))) 1548151308.899 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151308.899 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151308.899 * [misc]taylor: Taking taylor expansion of -1 in k 1548151308.899 * [misc]backup-simplify: Simplify -1 into -1 1548151308.899 * [misc]taylor: Taking taylor expansion of k in k 1548151308.899 * [misc]backup-simplify: Simplify 0 into 0 1548151308.899 * [misc]backup-simplify: Simplify 1 into 1 1548151308.899 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151308.899 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151308.900 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151308.900 * [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)))) 1548151308.900 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1548151308.900 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151308.900 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1548151308.900 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1548151308.901 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151308.901 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151308.901 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.901 * [misc]taylor: Taking taylor expansion of k in n 1548151308.901 * [misc]backup-simplify: Simplify k into k 1548151308.901 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.901 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.901 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1548151308.901 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548151308.901 * [misc]taylor: Taking taylor expansion of -2 in n 1548151308.901 * [misc]backup-simplify: Simplify -2 into -2 1548151308.901 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.901 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.901 * [misc]backup-simplify: Simplify PI into PI 1548151308.901 * [misc]taylor: Taking taylor expansion of n in n 1548151308.901 * [misc]backup-simplify: Simplify 0 into 0 1548151308.901 * [misc]backup-simplify: Simplify 1 into 1 1548151308.901 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.902 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548151308.902 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548151308.902 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151308.902 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151308.903 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548151308.903 * [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))) 1548151308.904 * [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)))) 1548151308.904 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548151308.904 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548151308.904 * [misc]taylor: Taking taylor expansion of -1 in n 1548151308.904 * [misc]backup-simplify: Simplify -1 into -1 1548151308.904 * [misc]taylor: Taking taylor expansion of k in n 1548151308.904 * [misc]backup-simplify: Simplify k into k 1548151308.904 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548151308.904 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548151308.904 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548151308.904 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548151308.905 * [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))) 1548151308.905 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1548151308.905 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151308.905 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1548151308.905 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1548151308.905 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151308.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151308.905 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151308.905 * [misc]taylor: Taking taylor expansion of k in n 1548151308.905 * [misc]backup-simplify: Simplify k into k 1548151308.906 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151308.906 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151308.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.906 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1548151308.906 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548151308.906 * [misc]taylor: Taking taylor expansion of -2 in n 1548151308.906 * [misc]backup-simplify: Simplify -2 into -2 1548151308.906 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548151308.906 * [misc]taylor: Taking taylor expansion of PI in n 1548151308.906 * [misc]backup-simplify: Simplify PI into PI 1548151308.906 * [misc]taylor: Taking taylor expansion of n in n 1548151308.906 * [misc]backup-simplify: Simplify 0 into 0 1548151308.906 * [misc]backup-simplify: Simplify 1 into 1 1548151308.906 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548151308.906 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548151308.907 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548151308.907 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151308.907 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151308.908 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548151308.908 * [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))) 1548151308.909 * [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)))) 1548151308.909 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548151308.909 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548151308.909 * [misc]taylor: Taking taylor expansion of -1 in n 1548151308.909 * [misc]backup-simplify: Simplify -1 into -1 1548151308.909 * [misc]taylor: Taking taylor expansion of k in n 1548151308.909 * [misc]backup-simplify: Simplify k into k 1548151308.909 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548151308.909 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548151308.909 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548151308.910 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548151308.910 * [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))) 1548151308.910 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1548151308.910 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1548151308.910 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1548151308.910 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151308.910 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151308.910 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.911 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151308.911 * [misc]taylor: Taking taylor expansion of k in k 1548151308.911 * [misc]backup-simplify: Simplify 0 into 0 1548151308.911 * [misc]backup-simplify: Simplify 1 into 1 1548151308.911 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151308.911 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151308.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151308.911 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1548151308.911 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1548151308.911 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1548151308.911 * [misc]taylor: Taking taylor expansion of -2 in k 1548151308.911 * [misc]backup-simplify: Simplify -2 into -2 1548151308.911 * [misc]taylor: Taking taylor expansion of PI in k 1548151308.911 * [misc]backup-simplify: Simplify PI into PI 1548151308.911 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548151308.912 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548151308.912 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151308.912 * [misc]taylor: Taking taylor expansion of n in k 1548151308.912 * [misc]backup-simplify: Simplify n into n 1548151308.912 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151308.912 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151308.912 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151308.912 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548151308.913 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1548151308.913 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1548151308.913 * [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)))) 1548151308.913 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151308.913 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151308.913 * [misc]taylor: Taking taylor expansion of -1 in k 1548151308.913 * [misc]backup-simplify: Simplify -1 into -1 1548151308.914 * [misc]taylor: Taking taylor expansion of k in k 1548151308.914 * [misc]backup-simplify: Simplify 0 into 0 1548151308.914 * [misc]backup-simplify: Simplify 1 into 1 1548151308.914 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151308.914 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151308.914 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151308.914 * [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))))) 1548151308.915 * [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))))) 1548151308.915 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548151308.916 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1548151308.918 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1548151308.918 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151308.918 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151308.918 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.918 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548151308.919 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1548151308.920 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151308.920 * [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 1548151308.920 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.920 * [misc]backup-simplify: Simplify 0 into 0 1548151308.920 * [misc]backup-simplify: Simplify 0 into 0 1548151308.921 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548151308.921 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151308.922 * [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)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1548151308.922 * [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)))))) 1548151308.923 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.924 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1548151308.927 * [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 1548151308.927 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.927 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151308.927 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151308.928 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548151308.928 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1548151308.929 * [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 1548151308.929 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151308.930 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1548151308.930 * [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 1548151308.930 * [misc]taylor: Taking taylor expansion of 0 in k 1548151308.930 * [misc]backup-simplify: Simplify 0 into 0 1548151308.931 * [misc]backup-simplify: Simplify 0 into 0 1548151308.931 * [misc]backup-simplify: Simplify 0 into 0 1548151308.931 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151308.931 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151308.932 * [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)))))) 1548151308.933 * [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)))))) 1548151308.934 * [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))))))))))) 1548151308.935 * * * [misc]progress: simplifying candidates 1548151308.935 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1548151308.935 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1548151308.935 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1548151308.935 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1548151308.935 * * [misc]simplify: iters left: 6 (11 enodes) 1548151308.937 * * [misc]simplify: iters left: 5 (21 enodes) 1548151308.940 * * [misc]simplify: iters left: 4 (47 enodes) 1548151308.956 * * [misc]simplify: iters left: 3 (113 enodes) 1548151308.987 * * [misc]simplify: iters left: 2 (328 enodes) 1548151309.242 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1548151309.243 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1548151309.243 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1548151309.243 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1548151309.243 * [enter]simplify: Simplifying (* PI (* n 2)) 1548151309.243 * * [misc]simplify: iters left: 4 (5 enodes) 1548151309.244 * * [misc]simplify: iters left: 3 (9 enodes) 1548151309.245 * * [misc]simplify: iters left: 2 (15 enodes) 1548151309.247 * * [misc]simplify: iters left: 1 (17 enodes) 1548151309.249 * [exit]simplify: Simplified to (* (* 2 n) PI) 1548151309.249 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1548151309.249 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1548151309.249 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1548151309.249 * * [misc]simplify: iters left: 5 (8 enodes) 1548151309.250 * * [misc]simplify: iters left: 4 (12 enodes) 1548151309.252 * * [misc]simplify: iters left: 3 (18 enodes) 1548151309.255 * * [misc]simplify: iters left: 2 (20 enodes) 1548151309.257 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1548151309.257 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1548151309.257 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1548151309.257 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548151309.257 * * [misc]simplify: iters left: 5 (6 enodes) 1548151309.258 * * [misc]simplify: iters left: 4 (8 enodes) 1548151309.259 * * [misc]simplify: iters left: 3 (11 enodes) 1548151309.261 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548151309.261 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) 1548151309.261 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1548151309.261 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548151309.261 * * [misc]simplify: iters left: 5 (6 enodes) 1548151309.262 * * [misc]simplify: iters left: 4 (8 enodes) 1548151309.263 * * [misc]simplify: iters left: 3 (11 enodes) 1548151309.265 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548151309.265 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) 1548151309.265 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1548151309.265 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548151309.265 * * [misc]simplify: iters left: 4 (5 enodes) 1548151309.266 * * [misc]simplify: iters left: 3 (7 enodes) 1548151309.267 * * [misc]simplify: iters left: 2 (10 enodes) 1548151309.268 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548151309.268 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1548151309.268 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1548151309.268 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1548151309.268 * * [misc]simplify: iters left: 5 (9 enodes) 1548151309.270 * * [misc]simplify: iters left: 4 (15 enodes) 1548151309.272 * * [misc]simplify: iters left: 3 (21 enodes) 1548151309.274 * * [misc]simplify: iters left: 2 (22 enodes) 1548151309.277 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1548151309.277 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1548151309.277 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1548151309.277 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1548151309.277 * * [misc]simplify: iters left: 5 (9 enodes) 1548151309.279 * * [misc]simplify: iters left: 4 (15 enodes) 1548151309.281 * * [misc]simplify: iters left: 3 (21 enodes) 1548151309.283 * * [misc]simplify: iters left: 2 (22 enodes) 1548151309.286 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1548151309.287 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1548151309.287 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1548151309.287 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1548151309.287 * * [misc]simplify: iters left: 5 (7 enodes) 1548151309.288 * * [misc]simplify: iters left: 4 (9 enodes) 1548151309.289 * * [misc]simplify: iters left: 3 (12 enodes) 1548151309.294 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1548151309.294 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1548151309.294 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1548151309.294 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1548151309.294 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1548151309.294 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1548151309.294 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1548151309.294 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1548151309.294 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1548151309.294 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1548151309.294 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1548151309.294 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1548151309.295 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1548151309.295 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1548151309.296 * * [misc]simplify: iters left: 6 (14 enodes) 1548151309.300 * * [misc]simplify: iters left: 5 (27 enodes) 1548151309.308 * * [misc]simplify: iters left: 4 (55 enodes) 1548151309.319 * * [misc]simplify: iters left: 3 (144 enodes) 1548151309.395 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1548151309.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1548151309.396 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1548151309.396 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1548151309.396 * * [misc]simplify: iters left: 6 (14 enodes) 1548151309.401 * * [misc]simplify: iters left: 5 (27 enodes) 1548151309.410 * * [misc]simplify: iters left: 4 (55 enodes) 1548151309.430 * * [misc]simplify: iters left: 3 (144 enodes) 1548151309.527 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1548151309.527 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1548151309.527 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1548151309.527 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1548151309.527 * * [misc]simplify: iters left: 6 (14 enodes) 1548151309.532 * * [misc]simplify: iters left: 5 (24 enodes) 1548151309.536 * * [misc]simplify: iters left: 4 (43 enodes) 1548151309.543 * * [misc]simplify: iters left: 3 (73 enodes) 1548151309.559 * * [misc]simplify: iters left: 2 (220 enodes) 1548151309.749 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1548151309.749 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1548151309.749 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1548151309.750 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1548151309.750 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1548151309.750 * [enter]simplify: Simplifying (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1548151309.750 * * [misc]simplify: iters left: 6 (16 enodes) 1548151309.756 * * [misc]simplify: iters left: 5 (31 enodes) 1548151309.766 * * [misc]simplify: iters left: 4 (67 enodes) 1548151309.790 * * [misc]simplify: iters left: 3 (124 enodes) 1548151309.821 * * [misc]simplify: iters left: 2 (195 enodes) 1548151309.859 * * [misc]simplify: iters left: 1 (309 enodes) 1548151309.971 * [exit]simplify: Simplified to (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))) 1548151309.971 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))))) 1548151309.971 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1548151309.971 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1548151309.971 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1548151309.971 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1548151309.971 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1548151309.972 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151309.972 * * [misc]simplify: iters left: 6 (12 enodes) 1548151309.974 * * [misc]simplify: iters left: 5 (19 enodes) 1548151309.977 * * [misc]simplify: iters left: 4 (25 enodes) 1548151309.980 * * [misc]simplify: iters left: 3 (26 enodes) 1548151309.983 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151309.983 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1548151309.984 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1548151309.984 * * [misc]simplify: iters left: 6 (12 enodes) 1548151309.987 * * [misc]simplify: iters left: 5 (18 enodes) 1548151309.994 * * [misc]simplify: iters left: 4 (24 enodes) 1548151310.000 * * [misc]simplify: iters left: 3 (25 enodes) 1548151310.006 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1548151310.006 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1548151310.006 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1548151310.007 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1548151310.007 * * [misc]simplify: iters left: 6 (11 enodes) 1548151310.010 * * [misc]simplify: iters left: 5 (16 enodes) 1548151310.015 * * [misc]simplify: iters left: 4 (22 enodes) 1548151310.020 * * [misc]simplify: iters left: 3 (24 enodes) 1548151310.026 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1548151310.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1548151310.026 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1548151310.026 * * [misc]simplify: iters left: 6 (12 enodes) 1548151310.030 * * [misc]simplify: iters left: 5 (18 enodes) 1548151310.035 * * [misc]simplify: iters left: 4 (24 enodes) 1548151310.041 * * [misc]simplify: iters left: 3 (25 enodes) 1548151310.047 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1548151310.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1548151310.047 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1548151310.047 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1548151310.047 * * [misc]simplify: iters left: 6 (9 enodes) 1548151310.050 * * [misc]simplify: iters left: 5 (16 enodes) 1548151310.055 * * [misc]simplify: iters left: 4 (24 enodes) 1548151310.060 * * [misc]simplify: iters left: 3 (26 enodes) 1548151310.066 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1548151310.066 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1548151310.066 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1548151310.067 * * [misc]simplify: iters left: 6 (11 enodes) 1548151310.070 * * [misc]simplify: iters left: 5 (17 enodes) 1548151310.075 * * [misc]simplify: iters left: 4 (23 enodes) 1548151310.081 * * [misc]simplify: iters left: 3 (24 enodes) 1548151310.087 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1548151310.087 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1548151310.087 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1548151310.087 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151310.087 * * [misc]simplify: iters left: 6 (12 enodes) 1548151310.091 * * [misc]simplify: iters left: 5 (19 enodes) 1548151310.096 * * [misc]simplify: iters left: 4 (25 enodes) 1548151310.103 * * [misc]simplify: iters left: 3 (26 enodes) 1548151310.109 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151310.109 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1548151310.110 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1548151310.110 * * [misc]simplify: iters left: 6 (12 enodes) 1548151310.114 * * [misc]simplify: iters left: 5 (18 enodes) 1548151310.119 * * [misc]simplify: iters left: 4 (24 enodes) 1548151310.124 * * [misc]simplify: iters left: 3 (25 enodes) 1548151310.127 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1548151310.127 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1548151310.128 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1548151310.128 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1548151310.128 * * [misc]simplify: iters left: 6 (11 enodes) 1548151310.129 * * [misc]simplify: iters left: 5 (16 enodes) 1548151310.132 * * [misc]simplify: iters left: 4 (22 enodes) 1548151310.135 * * [misc]simplify: iters left: 3 (24 enodes) 1548151310.138 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1548151310.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1548151310.138 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1548151310.138 * * [misc]simplify: iters left: 6 (12 enodes) 1548151310.140 * * [misc]simplify: iters left: 5 (18 enodes) 1548151310.142 * * [misc]simplify: iters left: 4 (24 enodes) 1548151310.146 * * [misc]simplify: iters left: 3 (25 enodes) 1548151310.149 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1548151310.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1548151310.149 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1548151310.149 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1548151310.149 * * [misc]simplify: iters left: 6 (9 enodes) 1548151310.151 * * [misc]simplify: iters left: 5 (16 enodes) 1548151310.153 * * [misc]simplify: iters left: 4 (24 enodes) 1548151310.156 * * [misc]simplify: iters left: 3 (26 enodes) 1548151310.159 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1548151310.159 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1548151310.159 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1548151310.159 * * [misc]simplify: iters left: 6 (11 enodes) 1548151310.161 * * [misc]simplify: iters left: 5 (17 enodes) 1548151310.164 * * [misc]simplify: iters left: 4 (23 enodes) 1548151310.167 * * [misc]simplify: iters left: 3 (24 enodes) 1548151310.170 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1548151310.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1548151310.170 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1548151310.170 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151310.170 * * [misc]simplify: iters left: 6 (11 enodes) 1548151310.172 * * [misc]simplify: iters left: 5 (15 enodes) 1548151310.174 * * [misc]simplify: iters left: 4 (18 enodes) 1548151310.177 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151310.177 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1548151310.177 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1548151310.177 * * [misc]simplify: iters left: 6 (11 enodes) 1548151310.179 * * [misc]simplify: iters left: 5 (14 enodes) 1548151310.180 * * [misc]simplify: iters left: 4 (17 enodes) 1548151310.183 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1548151310.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1548151310.183 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1548151310.183 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548151310.183 * * [misc]simplify: iters left: 6 (10 enodes) 1548151310.184 * * [misc]simplify: iters left: 5 (12 enodes) 1548151310.186 * * [misc]simplify: iters left: 4 (15 enodes) 1548151310.188 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548151310.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1548151310.188 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548151310.188 * * [misc]simplify: iters left: 6 (11 enodes) 1548151310.190 * * [misc]simplify: iters left: 5 (14 enodes) 1548151310.192 * * [misc]simplify: iters left: 4 (17 enodes) 1548151310.197 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548151310.197 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1548151310.197 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1548151310.197 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1548151310.197 * * [misc]simplify: iters left: 6 (9 enodes) 1548151310.200 * * [misc]simplify: iters left: 5 (13 enodes) 1548151310.204 * * [misc]simplify: iters left: 4 (18 enodes) 1548151310.208 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1548151310.208 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1548151310.208 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1548151310.208 * * [misc]simplify: iters left: 6 (10 enodes) 1548151310.211 * * [misc]simplify: iters left: 5 (13 enodes) 1548151310.214 * * [misc]simplify: iters left: 4 (16 enodes) 1548151310.217 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1548151310.217 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1548151310.217 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1548151310.217 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151310.217 * * [misc]simplify: iters left: 6 (16 enodes) 1548151310.220 * * [misc]simplify: iters left: 5 (28 enodes) 1548151310.224 * * [misc]simplify: iters left: 4 (46 enodes) 1548151310.231 * * [misc]simplify: iters left: 3 (50 enodes) 1548151310.237 * * [misc]simplify: iters left: 2 (53 enodes) 1548151310.243 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548151310.244 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1548151310.244 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1548151310.244 * * [misc]simplify: iters left: 6 (14 enodes) 1548151310.246 * * [misc]simplify: iters left: 5 (20 enodes) 1548151310.249 * * [misc]simplify: iters left: 4 (29 enodes) 1548151310.252 * * [misc]simplify: iters left: 3 (30 enodes) 1548151310.260 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1548151310.260 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1548151310.260 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1548151310.261 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151310.261 * * [misc]simplify: iters left: 6 (15 enodes) 1548151310.265 * * [misc]simplify: iters left: 5 (23 enodes) 1548151310.272 * * [misc]simplify: iters left: 4 (34 enodes) 1548151310.281 * * [misc]simplify: iters left: 3 (37 enodes) 1548151310.290 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1548151310.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1548151310.290 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151310.291 * * [misc]simplify: iters left: 6 (14 enodes) 1548151310.295 * * [misc]simplify: iters left: 5 (20 enodes) 1548151310.300 * * [misc]simplify: iters left: 4 (29 enodes) 1548151310.308 * * [misc]simplify: iters left: 3 (30 enodes) 1548151310.316 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151310.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1548151310.316 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1548151310.316 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1548151310.316 * * [misc]simplify: iters left: 6 (14 enodes) 1548151310.321 * * [misc]simplify: iters left: 5 (24 enodes) 1548151310.329 * * [misc]simplify: iters left: 4 (39 enodes) 1548151310.335 * * [misc]simplify: iters left: 3 (54 enodes) 1548151310.342 * * [misc]simplify: iters left: 2 (80 enodes) 1548151310.352 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1548151310.352 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1548151310.352 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1548151310.352 * * [misc]simplify: iters left: 6 (13 enodes) 1548151310.354 * * [misc]simplify: iters left: 5 (19 enodes) 1548151310.357 * * [misc]simplify: iters left: 4 (28 enodes) 1548151310.361 * * [misc]simplify: iters left: 3 (30 enodes) 1548151310.365 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1548151310.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1548151310.365 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1548151310.365 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151310.365 * * [misc]simplify: iters left: 6 (15 enodes) 1548151310.367 * * [misc]simplify: iters left: 5 (23 enodes) 1548151310.371 * * [misc]simplify: iters left: 4 (32 enodes) 1548151310.375 * * [misc]simplify: iters left: 3 (34 enodes) 1548151310.381 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151310.382 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1548151310.382 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1548151310.382 * * [misc]simplify: iters left: 6 (14 enodes) 1548151310.386 * * [misc]simplify: iters left: 5 (20 enodes) 1548151310.391 * * [misc]simplify: iters left: 4 (29 enodes) 1548151310.399 * * [misc]simplify: iters left: 3 (30 enodes) 1548151310.406 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1548151310.406 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1548151310.406 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1548151310.406 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151310.406 * * [misc]simplify: iters left: 6 (14 enodes) 1548151310.411 * * [misc]simplify: iters left: 5 (20 enodes) 1548151310.417 * * [misc]simplify: iters left: 4 (29 enodes) 1548151310.424 * * [misc]simplify: iters left: 3 (30 enodes) 1548151310.427 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151310.427 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1548151310.428 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151310.428 * * [misc]simplify: iters left: 6 (14 enodes) 1548151310.430 * * [misc]simplify: iters left: 5 (20 enodes) 1548151310.433 * * [misc]simplify: iters left: 4 (29 enodes) 1548151310.436 * * [misc]simplify: iters left: 3 (30 enodes) 1548151310.443 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151310.443 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1548151310.443 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1548151310.444 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1548151310.444 * * [misc]simplify: iters left: 6 (13 enodes) 1548151310.448 * * [misc]simplify: iters left: 5 (21 enodes) 1548151310.454 * * [misc]simplify: iters left: 4 (32 enodes) 1548151310.462 * * [misc]simplify: iters left: 3 (33 enodes) 1548151310.469 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1548151310.469 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1548151310.470 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1548151310.470 * * [misc]simplify: iters left: 6 (13 enodes) 1548151310.474 * * [misc]simplify: iters left: 5 (19 enodes) 1548151310.479 * * [misc]simplify: iters left: 4 (28 enodes) 1548151310.486 * * [misc]simplify: iters left: 3 (30 enodes) 1548151310.494 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1548151310.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1548151310.494 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1548151310.494 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151310.494 * * [misc]simplify: iters left: 6 (6 enodes) 1548151310.496 * * [misc]simplify: iters left: 5 (10 enodes) 1548151310.499 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1548151310.499 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1548151310.499 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1548151310.499 * * [misc]simplify: iters left: 6 (13 enodes) 1548151310.503 * * [misc]simplify: iters left: 5 (19 enodes) 1548151310.508 * * [misc]simplify: iters left: 4 (28 enodes) 1548151310.516 * * [misc]simplify: iters left: 3 (30 enodes) 1548151310.523 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1548151310.523 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1548151310.523 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1548151310.524 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1548151310.524 * * [misc]simplify: iters left: 4 (5 enodes) 1548151310.525 * * [misc]simplify: iters left: 3 (7 enodes) 1548151310.527 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1548151310.527 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1548151310.527 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548151310.528 * * [misc]simplify: iters left: 6 (13 enodes) 1548151310.532 * * [misc]simplify: iters left: 5 (19 enodes) 1548151310.538 * * [misc]simplify: iters left: 4 (28 enodes) 1548151310.545 * * [misc]simplify: iters left: 3 (30 enodes) 1548151310.552 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548151310.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1548151310.553 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1548151310.553 * [enter]simplify: Simplifying (/ 1 1) 1548151310.553 * * [misc]simplify: iters left: 2 (2 enodes) 1548151310.554 * * [misc]simplify: iters left: 1 (4 enodes) 1548151310.554 * [exit]simplify: Simplified to 1 1548151310.554 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1548151310.555 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1548151310.556 * * [misc]simplify: iters left: 6 (12 enodes) 1548151310.559 * * [misc]simplify: iters left: 5 (18 enodes) 1548151310.565 * * [misc]simplify: iters left: 4 (27 enodes) 1548151310.572 * * [misc]simplify: iters left: 3 (29 enodes) 1548151310.579 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1548151310.579 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1548151310.579 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1548151310.579 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1548151310.579 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1548151310.579 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1548151310.579 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1548151310.579 * * [misc]simplify: iters left: 2 (3 enodes) 1548151310.580 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1548151310.580 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1548151310.580 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1548151310.580 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1548151310.580 * * [misc]simplify: iters left: 2 (3 enodes) 1548151310.581 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548151310.581 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1548151310.581 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1548151310.582 * [enter]simplify: Simplifying (sqrt k) 1548151310.582 * * [misc]simplify: iters left: 1 (2 enodes) 1548151310.582 * [exit]simplify: Simplified to (sqrt k) 1548151310.582 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1548151310.582 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1548151310.583 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1548151310.583 * * [misc]simplify: iters left: 5 (7 enodes) 1548151310.585 * * [misc]simplify: iters left: 4 (12 enodes) 1548151310.588 * * [misc]simplify: iters left: 3 (18 enodes) 1548151310.592 * * [misc]simplify: iters left: 2 (20 enodes) 1548151310.597 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1548151310.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1548151310.597 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1548151310.597 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1548151310.597 * * [misc]simplify: iters left: 5 (7 enodes) 1548151310.599 * * [misc]simplify: iters left: 4 (12 enodes) 1548151310.603 * * [misc]simplify: iters left: 3 (18 enodes) 1548151310.607 * * [misc]simplify: iters left: 2 (20 enodes) 1548151310.612 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1548151310.612 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1548151310.612 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1548151310.613 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1548151310.613 * * [misc]simplify: iters left: 5 (7 enodes) 1548151310.615 * * [misc]simplify: iters left: 4 (9 enodes) 1548151310.618 * * [misc]simplify: iters left: 3 (12 enodes) 1548151310.621 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1548151310.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151310.621 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1548151310.621 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1548151310.621 * * [misc]simplify: iters left: 6 (12 enodes) 1548151310.625 * * [misc]simplify: iters left: 5 (18 enodes) 1548151310.631 * * [misc]simplify: iters left: 4 (27 enodes) 1548151310.635 * * [misc]simplify: iters left: 3 (29 enodes) 1548151310.638 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1548151310.639 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1548151310.639 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1548151310.639 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1548151310.639 * * [misc]simplify: iters left: 6 (11 enodes) 1548151310.641 * * [misc]simplify: iters left: 5 (17 enodes) 1548151310.643 * * [misc]simplify: iters left: 4 (26 enodes) 1548151310.646 * * [misc]simplify: iters left: 3 (27 enodes) 1548151310.649 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1548151310.649 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1548151310.649 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1548151310.649 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1548151310.650 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1548151310.650 * * [misc]simplify: iters left: 5 (7 enodes) 1548151310.651 * * [misc]simplify: iters left: 4 (12 enodes) 1548151310.652 * * [misc]simplify: iters left: 3 (18 enodes) 1548151310.655 * * [misc]simplify: iters left: 2 (20 enodes) 1548151310.657 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1548151310.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1548151310.657 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1548151310.657 * [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))))) 1548151310.657 * * [misc]simplify: iters left: 6 (37 enodes) 1548151310.669 * * [misc]simplify: iters left: 5 (108 enodes) 1548151310.696 * * [misc]simplify: iters left: 4 (368 enodes) 1548151310.947 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1548151310.947 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1548151310.947 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1548151310.948 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1548151310.948 * * [misc]simplify: iters left: 6 (15 enodes) 1548151310.953 * * [misc]simplify: iters left: 5 (33 enodes) 1548151310.963 * * [misc]simplify: iters left: 4 (64 enodes) 1548151310.992 * * [misc]simplify: iters left: 3 (179 enodes) 1548151311.100 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1548151311.100 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1548151311.100 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1548151311.101 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1548151311.101 * * [misc]simplify: iters left: 6 (15 enodes) 1548151311.104 * * [misc]simplify: iters left: 5 (30 enodes) 1548151311.109 * * [misc]simplify: iters left: 4 (65 enodes) 1548151311.128 * * [misc]simplify: iters left: 3 (208 enodes) 1548151311.253 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1548151311.253 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1548151311.254 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1548151311.254 * [enter]simplify: Simplifying (* 2 (* n PI)) 1548151311.254 * * [misc]simplify: iters left: 4 (5 enodes) 1548151311.255 * * [misc]simplify: iters left: 3 (9 enodes) 1548151311.256 * * [misc]simplify: iters left: 2 (15 enodes) 1548151311.258 * * [misc]simplify: iters left: 1 (17 enodes) 1548151311.259 * [exit]simplify: Simplified to (* (* PI n) 2) 1548151311.260 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1548151311.260 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1548151311.260 * [enter]simplify: Simplifying (* 2 (* n PI)) 1548151311.260 * * [misc]simplify: iters left: 4 (5 enodes) 1548151311.261 * * [misc]simplify: iters left: 3 (9 enodes) 1548151311.264 * * [misc]simplify: iters left: 2 (15 enodes) 1548151311.266 * * [misc]simplify: iters left: 1 (17 enodes) 1548151311.268 * [exit]simplify: Simplified to (* (* PI n) 2) 1548151311.268 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1548151311.268 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1548151311.268 * [enter]simplify: Simplifying (* 2 (* n PI)) 1548151311.269 * * [misc]simplify: iters left: 4 (5 enodes) 1548151311.270 * * [misc]simplify: iters left: 3 (9 enodes) 1548151311.273 * * [misc]simplify: iters left: 2 (15 enodes) 1548151311.276 * * [misc]simplify: iters left: 1 (17 enodes) 1548151311.281 * [exit]simplify: Simplified to (* (* PI n) 2) 1548151311.281 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1548151311.281 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1548151311.281 * [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)))))))))))))))))))))) 1548151311.281 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548151311.281 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1548151311.282 * [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)))))))) 1548151311.282 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548151311.282 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1548151311.282 * [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))))))))))) 1548151311.282 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548151311.282 * * * [misc]progress: adding candidates to table 1548151312.104 * * [misc]progress: iteration 2 / 4 1548151312.104 * * * [misc]progress: picking best candidate 1548151312.138 * * * * [misc]pick: Picked # 1548151312.138 * * * [misc]progress: localizing error 1548151312.153 * * * [misc]progress: generating rewritten candidates 1548151312.153 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1548151312.154 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1548151312.155 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1548151312.161 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1548151312.174 * * * [misc]progress: generating series expansions 1548151312.174 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1548151312.174 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1548151312.174 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1548151312.174 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151312.174 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151312.174 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151312.174 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.174 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.175 * [misc]taylor: Taking taylor expansion of k in k 1548151312.175 * [misc]backup-simplify: Simplify 0 into 0 1548151312.175 * [misc]backup-simplify: Simplify 1 into 1 1548151312.175 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151312.175 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151312.175 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.175 * [misc]backup-simplify: Simplify 2 into 2 1548151312.175 * [misc]taylor: Taking taylor expansion of n in k 1548151312.175 * [misc]backup-simplify: Simplify n into n 1548151312.175 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151312.175 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151312.175 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.175 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.175 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.176 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151312.176 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151312.176 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548151312.176 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548151312.176 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548151312.176 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151312.176 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.176 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151312.176 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.176 * [misc]taylor: Taking taylor expansion of k in n 1548151312.176 * [misc]backup-simplify: Simplify k into k 1548151312.176 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151312.176 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151312.176 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.176 * [misc]backup-simplify: Simplify 2 into 2 1548151312.176 * [misc]taylor: Taking taylor expansion of n in n 1548151312.176 * [misc]backup-simplify: Simplify 0 into 0 1548151312.176 * [misc]backup-simplify: Simplify 1 into 1 1548151312.176 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151312.177 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151312.177 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.177 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151312.177 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151312.177 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151312.177 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.178 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548151312.178 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1548151312.178 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548151312.178 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548151312.178 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548151312.178 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151312.178 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.178 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151312.178 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.178 * [misc]taylor: Taking taylor expansion of k in n 1548151312.178 * [misc]backup-simplify: Simplify k into k 1548151312.178 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151312.178 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151312.178 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.178 * [misc]backup-simplify: Simplify 2 into 2 1548151312.178 * [misc]taylor: Taking taylor expansion of n in n 1548151312.178 * [misc]backup-simplify: Simplify 0 into 0 1548151312.178 * [misc]backup-simplify: Simplify 1 into 1 1548151312.178 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151312.179 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151312.179 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.179 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151312.179 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151312.179 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151312.179 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.180 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548151312.180 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1548151312.180 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1548151312.180 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1548151312.180 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1548151312.180 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151312.180 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.180 * [misc]backup-simplify: Simplify 2 into 2 1548151312.180 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.180 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151312.180 * [misc]taylor: Taking taylor expansion of n in k 1548151312.181 * [misc]backup-simplify: Simplify n into n 1548151312.181 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151312.181 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.181 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.181 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.181 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.181 * [misc]taylor: Taking taylor expansion of k in k 1548151312.181 * [misc]backup-simplify: Simplify 0 into 0 1548151312.181 * [misc]backup-simplify: Simplify 1 into 1 1548151312.181 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1548151312.181 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.181 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.181 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.182 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1548151312.182 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1548151312.182 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1548151312.182 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548151312.186 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151312.186 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548151312.186 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.186 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.187 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1548151312.188 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151312.188 * [misc]taylor: Taking taylor expansion of 0 in k 1548151312.188 * [misc]backup-simplify: Simplify 0 into 0 1548151312.188 * [misc]backup-simplify: Simplify 0 into 0 1548151312.188 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151312.188 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.189 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.191 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151312.192 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548151312.192 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.192 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1548151312.193 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1548151312.194 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1548151312.194 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548151312.198 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548151312.199 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548151312.199 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.199 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.199 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.200 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1548151312.207 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151312.207 * [misc]taylor: Taking taylor expansion of 0 in k 1548151312.207 * [misc]backup-simplify: Simplify 0 into 0 1548151312.207 * [misc]backup-simplify: Simplify 0 into 0 1548151312.207 * [misc]backup-simplify: Simplify 0 into 0 1548151312.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151312.208 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.208 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.212 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548151312.214 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548151312.214 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.214 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1548151312.216 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1548151312.217 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1548151312.220 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1548151312.220 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.220 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1548151312.220 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151312.220 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151312.221 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151312.221 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.221 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.221 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.221 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.221 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.221 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.221 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.221 * [misc]taylor: Taking taylor expansion of k in k 1548151312.221 * [misc]backup-simplify: Simplify 0 into 0 1548151312.221 * [misc]backup-simplify: Simplify 1 into 1 1548151312.221 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.221 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151312.221 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151312.221 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.221 * [misc]backup-simplify: Simplify 2 into 2 1548151312.221 * [misc]taylor: Taking taylor expansion of n in k 1548151312.221 * [misc]backup-simplify: Simplify n into n 1548151312.221 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151312.221 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151312.221 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.222 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.222 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.222 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151312.222 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.222 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.222 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.222 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.222 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.222 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.222 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.222 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.222 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.222 * [misc]taylor: Taking taylor expansion of k in n 1548151312.222 * [misc]backup-simplify: Simplify k into k 1548151312.222 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.222 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.222 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.222 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.223 * [misc]backup-simplify: Simplify 2 into 2 1548151312.223 * [misc]taylor: Taking taylor expansion of n in n 1548151312.223 * [misc]backup-simplify: Simplify 0 into 0 1548151312.223 * [misc]backup-simplify: Simplify 1 into 1 1548151312.223 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.223 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.223 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.223 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.223 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.224 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.224 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.224 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.224 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.224 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.224 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.224 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.224 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.224 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.224 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.224 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.224 * [misc]taylor: Taking taylor expansion of k in n 1548151312.224 * [misc]backup-simplify: Simplify k into k 1548151312.224 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.224 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.224 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.224 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.224 * [misc]backup-simplify: Simplify 2 into 2 1548151312.225 * [misc]taylor: Taking taylor expansion of n in n 1548151312.225 * [misc]backup-simplify: Simplify 0 into 0 1548151312.225 * [misc]backup-simplify: Simplify 1 into 1 1548151312.225 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.225 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.225 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.225 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.225 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.225 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.225 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.225 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.226 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1548151312.226 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1548151312.226 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.226 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.226 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.226 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.226 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.226 * [misc]taylor: Taking taylor expansion of k in k 1548151312.226 * [misc]backup-simplify: Simplify 0 into 0 1548151312.226 * [misc]backup-simplify: Simplify 1 into 1 1548151312.226 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.226 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1548151312.226 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151312.226 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.226 * [misc]backup-simplify: Simplify 2 into 2 1548151312.226 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.226 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151312.226 * [misc]taylor: Taking taylor expansion of n in k 1548151312.226 * [misc]backup-simplify: Simplify n into n 1548151312.226 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151312.226 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.226 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.226 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.226 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548151312.227 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1548151312.227 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1548151312.227 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.227 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.227 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548151312.229 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151312.229 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151312.229 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.229 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.229 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.230 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548151312.230 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151312.230 * [misc]taylor: Taking taylor expansion of 0 in k 1548151312.230 * [misc]backup-simplify: Simplify 0 into 0 1548151312.230 * [misc]backup-simplify: Simplify 0 into 0 1548151312.230 * [misc]backup-simplify: Simplify 0 into 0 1548151312.231 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151312.233 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548151312.233 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151312.233 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151312.233 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.234 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.234 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.234 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1548151312.235 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151312.235 * [misc]taylor: Taking taylor expansion of 0 in k 1548151312.235 * [misc]backup-simplify: Simplify 0 into 0 1548151312.236 * [misc]backup-simplify: Simplify 0 into 0 1548151312.236 * [misc]backup-simplify: Simplify 0 into 0 1548151312.236 * [misc]backup-simplify: Simplify 0 into 0 1548151312.236 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151312.240 * [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 1548151312.240 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151312.240 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548151312.240 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.240 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.240 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.241 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1548151312.243 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1548151312.243 * [misc]taylor: Taking taylor expansion of 0 in k 1548151312.243 * [misc]backup-simplify: Simplify 0 into 0 1548151312.243 * [misc]backup-simplify: Simplify 0 into 0 1548151312.243 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1548151312.244 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.244 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1548151312.244 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151312.244 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151312.244 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151312.244 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.244 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.244 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.244 * [misc]taylor: Taking taylor expansion of k in k 1548151312.244 * [misc]backup-simplify: Simplify 0 into 0 1548151312.244 * [misc]backup-simplify: Simplify 1 into 1 1548151312.244 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.244 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151312.244 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151312.244 * [misc]taylor: Taking taylor expansion of -2 in k 1548151312.244 * [misc]backup-simplify: Simplify -2 into -2 1548151312.244 * [misc]taylor: Taking taylor expansion of n in k 1548151312.244 * [misc]backup-simplify: Simplify n into n 1548151312.244 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151312.244 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151312.244 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.244 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.244 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151312.244 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.244 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.245 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.245 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.245 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.245 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.245 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.245 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.245 * [misc]taylor: Taking taylor expansion of k in n 1548151312.245 * [misc]backup-simplify: Simplify k into k 1548151312.245 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.245 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.245 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.245 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.245 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.245 * [misc]backup-simplify: Simplify -2 into -2 1548151312.245 * [misc]taylor: Taking taylor expansion of n in n 1548151312.245 * [misc]backup-simplify: Simplify 0 into 0 1548151312.245 * [misc]backup-simplify: Simplify 1 into 1 1548151312.245 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.245 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.245 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.245 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.245 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.246 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.246 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.246 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.246 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.246 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.246 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.246 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.246 * [misc]taylor: Taking taylor expansion of k in n 1548151312.246 * [misc]backup-simplify: Simplify k into k 1548151312.246 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.246 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.246 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.246 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.246 * [misc]backup-simplify: Simplify -2 into -2 1548151312.246 * [misc]taylor: Taking taylor expansion of n in n 1548151312.246 * [misc]backup-simplify: Simplify 0 into 0 1548151312.246 * [misc]backup-simplify: Simplify 1 into 1 1548151312.246 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.246 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.246 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.246 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.247 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.247 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.247 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.247 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1548151312.247 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1548151312.247 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.247 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.247 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.247 * [misc]taylor: Taking taylor expansion of k in k 1548151312.247 * [misc]backup-simplify: Simplify 0 into 0 1548151312.247 * [misc]backup-simplify: Simplify 1 into 1 1548151312.247 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.247 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.247 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1548151312.247 * [misc]taylor: Taking taylor expansion of (log -2) in k 1548151312.247 * [misc]taylor: Taking taylor expansion of -2 in k 1548151312.247 * [misc]backup-simplify: Simplify -2 into -2 1548151312.248 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.248 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151312.248 * [misc]taylor: Taking taylor expansion of n in k 1548151312.248 * [misc]backup-simplify: Simplify n into n 1548151312.248 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151312.248 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.248 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.248 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548151312.248 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1548151312.248 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1548151312.248 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.249 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.249 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548151312.250 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548151312.250 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.250 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151312.250 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.251 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.251 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548151312.252 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151312.252 * [misc]taylor: Taking taylor expansion of 0 in k 1548151312.252 * [misc]backup-simplify: Simplify 0 into 0 1548151312.252 * [misc]backup-simplify: Simplify 0 into 0 1548151312.252 * [misc]backup-simplify: Simplify 0 into 0 1548151312.252 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151312.254 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1548151312.254 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151312.255 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151312.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.255 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.255 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1548151312.256 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151312.257 * [misc]taylor: Taking taylor expansion of 0 in k 1548151312.257 * [misc]backup-simplify: Simplify 0 into 0 1548151312.257 * [misc]backup-simplify: Simplify 0 into 0 1548151312.257 * [misc]backup-simplify: Simplify 0 into 0 1548151312.257 * [misc]backup-simplify: Simplify 0 into 0 1548151312.257 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151312.261 * [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 1548151312.261 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151312.261 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548151312.261 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.261 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.262 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1548151312.264 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1548151312.264 * [misc]taylor: Taking taylor expansion of 0 in k 1548151312.264 * [misc]backup-simplify: Simplify 0 into 0 1548151312.264 * [misc]backup-simplify: Simplify 0 into 0 1548151312.264 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1548151312.264 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1548151312.264 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1548151312.264 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1548151312.264 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151312.264 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151312.264 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151312.264 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.264 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.264 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.264 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.264 * [misc]taylor: Taking taylor expansion of k in k 1548151312.264 * [misc]backup-simplify: Simplify 0 into 0 1548151312.264 * [misc]backup-simplify: Simplify 1 into 1 1548151312.264 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.264 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.264 * [misc]backup-simplify: Simplify PI into PI 1548151312.265 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.265 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.265 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.265 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.265 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151312.266 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151312.266 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151312.266 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151312.266 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151312.266 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.266 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.266 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.266 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.266 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.266 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.266 * [misc]taylor: Taking taylor expansion of k in k 1548151312.266 * [misc]backup-simplify: Simplify 0 into 0 1548151312.266 * [misc]backup-simplify: Simplify 1 into 1 1548151312.266 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.266 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.266 * [misc]backup-simplify: Simplify PI into PI 1548151312.266 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.266 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.266 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.266 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.267 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151312.267 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151312.268 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1548151312.269 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151312.269 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151312.269 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.269 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.270 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548151312.272 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548151312.272 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1548151312.275 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151312.275 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151312.275 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.276 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548151312.280 * [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))) 1548151312.281 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1548151312.284 * [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)))) 1548151312.284 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.284 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1548151312.284 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151312.284 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151312.284 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151312.284 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.284 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.284 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.284 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.284 * [misc]taylor: Taking taylor expansion of k in k 1548151312.284 * [misc]backup-simplify: Simplify 0 into 0 1548151312.284 * [misc]backup-simplify: Simplify 1 into 1 1548151312.285 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.285 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.285 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.285 * [misc]backup-simplify: Simplify PI into PI 1548151312.285 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.286 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.286 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.286 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.286 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151312.287 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.287 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151312.287 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151312.287 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151312.287 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.287 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.287 * [misc]taylor: Taking taylor expansion of k in k 1548151312.287 * [misc]backup-simplify: Simplify 0 into 0 1548151312.287 * [misc]backup-simplify: Simplify 1 into 1 1548151312.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.287 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.287 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.287 * [misc]backup-simplify: Simplify PI into PI 1548151312.288 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.288 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.288 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.288 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.289 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151312.289 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.289 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.289 * [misc]backup-simplify: Simplify 0 into 0 1548151312.289 * [misc]backup-simplify: Simplify 0 into 0 1548151312.289 * [misc]backup-simplify: Simplify 0 into 0 1548151312.289 * [misc]backup-simplify: Simplify 0 into 0 1548151312.289 * [misc]backup-simplify: Simplify 0 into 0 1548151312.289 * [misc]backup-simplify: Simplify 0 into 0 1548151312.289 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1548151312.290 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.290 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1548151312.290 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151312.290 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151312.290 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151312.290 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.290 * [misc]taylor: Taking taylor expansion of k in k 1548151312.290 * [misc]backup-simplify: Simplify 0 into 0 1548151312.290 * [misc]backup-simplify: Simplify 1 into 1 1548151312.290 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.290 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.290 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.290 * [misc]backup-simplify: Simplify PI into PI 1548151312.291 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.291 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.291 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.291 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151312.292 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.292 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151312.292 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151312.292 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151312.292 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.292 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.292 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.292 * [misc]taylor: Taking taylor expansion of k in k 1548151312.292 * [misc]backup-simplify: Simplify 0 into 0 1548151312.292 * [misc]backup-simplify: Simplify 1 into 1 1548151312.292 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.292 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.292 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.292 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.292 * [misc]backup-simplify: Simplify PI into PI 1548151312.293 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.293 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.293 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.293 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151312.294 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.294 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.294 * [misc]backup-simplify: Simplify 0 into 0 1548151312.294 * [misc]backup-simplify: Simplify 0 into 0 1548151312.294 * [misc]backup-simplify: Simplify 0 into 0 1548151312.294 * [misc]backup-simplify: Simplify 0 into 0 1548151312.294 * [misc]backup-simplify: Simplify 0 into 0 1548151312.294 * [misc]backup-simplify: Simplify 0 into 0 1548151312.294 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1548151312.294 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1548151312.295 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1548151312.295 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1548151312.295 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1548151312.295 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1548151312.295 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548151312.295 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548151312.295 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548151312.295 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151312.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.295 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151312.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.295 * [misc]taylor: Taking taylor expansion of k in n 1548151312.295 * [misc]backup-simplify: Simplify k into k 1548151312.295 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151312.295 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151312.295 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.295 * [misc]backup-simplify: Simplify 2 into 2 1548151312.295 * [misc]taylor: Taking taylor expansion of n in n 1548151312.295 * [misc]backup-simplify: Simplify 0 into 0 1548151312.295 * [misc]backup-simplify: Simplify 1 into 1 1548151312.295 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151312.296 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151312.296 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.296 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151312.296 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151312.296 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151312.296 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.297 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548151312.297 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1548151312.297 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1548151312.297 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1548151312.297 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1548151312.297 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151312.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.297 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151312.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.297 * [misc]taylor: Taking taylor expansion of k in n 1548151312.297 * [misc]backup-simplify: Simplify k into k 1548151312.297 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.297 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.297 * [misc]backup-simplify: Simplify PI into PI 1548151312.298 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.298 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151312.298 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151312.298 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151312.298 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1548151312.299 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1548151312.299 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548151312.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.299 * [misc]taylor: Taking taylor expansion of k in n 1548151312.299 * [misc]backup-simplify: Simplify k into k 1548151312.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.299 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548151312.299 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.299 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548151312.299 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1548151312.299 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548151312.299 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151312.299 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151312.299 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151312.299 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.299 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.300 * [misc]taylor: Taking taylor expansion of k in k 1548151312.300 * [misc]backup-simplify: Simplify 0 into 0 1548151312.300 * [misc]backup-simplify: Simplify 1 into 1 1548151312.300 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151312.300 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151312.300 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.300 * [misc]backup-simplify: Simplify 2 into 2 1548151312.300 * [misc]taylor: Taking taylor expansion of n in k 1548151312.300 * [misc]backup-simplify: Simplify n into n 1548151312.300 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151312.300 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151312.300 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.300 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.300 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.300 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151312.301 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151312.301 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151312.301 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151312.301 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151312.301 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.301 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.301 * [misc]taylor: Taking taylor expansion of k in k 1548151312.301 * [misc]backup-simplify: Simplify 0 into 0 1548151312.301 * [misc]backup-simplify: Simplify 1 into 1 1548151312.301 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.301 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.301 * [misc]backup-simplify: Simplify PI into PI 1548151312.301 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.301 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.302 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.302 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.302 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151312.303 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151312.303 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151312.303 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.303 * [misc]taylor: Taking taylor expansion of k in k 1548151312.303 * [misc]backup-simplify: Simplify 0 into 0 1548151312.303 * [misc]backup-simplify: Simplify 1 into 1 1548151312.303 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.303 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.304 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.304 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1548151312.304 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548151312.304 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151312.304 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151312.304 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151312.304 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.304 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.304 * [misc]taylor: Taking taylor expansion of k in k 1548151312.304 * [misc]backup-simplify: Simplify 0 into 0 1548151312.304 * [misc]backup-simplify: Simplify 1 into 1 1548151312.304 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151312.304 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151312.304 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.304 * [misc]backup-simplify: Simplify 2 into 2 1548151312.304 * [misc]taylor: Taking taylor expansion of n in k 1548151312.304 * [misc]backup-simplify: Simplify n into n 1548151312.304 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151312.305 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151312.305 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.305 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.305 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.305 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151312.305 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151312.305 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151312.305 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151312.305 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151312.305 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.305 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.305 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.305 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.306 * [misc]taylor: Taking taylor expansion of k in k 1548151312.306 * [misc]backup-simplify: Simplify 0 into 0 1548151312.306 * [misc]backup-simplify: Simplify 1 into 1 1548151312.306 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.306 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.306 * [misc]backup-simplify: Simplify PI into PI 1548151312.306 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.306 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.306 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.306 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.307 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151312.308 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151312.308 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151312.308 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.308 * [misc]taylor: Taking taylor expansion of k in k 1548151312.308 * [misc]backup-simplify: Simplify 0 into 0 1548151312.308 * [misc]backup-simplify: Simplify 1 into 1 1548151312.308 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.308 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.308 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.309 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1548151312.309 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1548151312.309 * [misc]taylor: Taking taylor expansion of 0 in n 1548151312.309 * [misc]backup-simplify: Simplify 0 into 0 1548151312.309 * [misc]backup-simplify: Simplify 0 into 0 1548151312.311 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151312.312 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151312.312 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.312 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.313 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548151312.316 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548151312.316 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1548151312.317 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1548151312.317 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151312.318 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.318 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.318 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1548151312.318 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1548151312.320 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1548151312.321 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1548151312.321 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1548151312.321 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548151312.321 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.321 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.321 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548151312.321 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.321 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.321 * [misc]backup-simplify: Simplify 2 into 2 1548151312.322 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.322 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.322 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151312.322 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151312.322 * [misc]taylor: Taking taylor expansion of n in n 1548151312.322 * [misc]backup-simplify: Simplify 0 into 0 1548151312.322 * [misc]backup-simplify: Simplify 1 into 1 1548151312.322 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.322 * [misc]backup-simplify: Simplify PI into PI 1548151312.322 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151312.323 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151312.323 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.323 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.324 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548151312.324 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.324 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.324 * [misc]backup-simplify: Simplify 0 into 0 1548151312.324 * [misc]backup-simplify: Simplify 0 into 0 1548151312.324 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151312.325 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151312.330 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151312.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151312.330 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548151312.337 * [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))) 1548151312.338 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1548151312.339 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1548151312.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151312.340 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1548151312.341 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1548151312.345 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1548151312.348 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1548151312.348 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1548151312.349 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1548151312.349 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1548151312.349 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.349 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.349 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1548151312.349 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1548151312.349 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.349 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.349 * [misc]backup-simplify: Simplify 2 into 2 1548151312.349 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.349 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.349 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.349 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.349 * [misc]backup-simplify: Simplify PI into PI 1548151312.350 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.350 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151312.350 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151312.350 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.350 * [misc]backup-simplify: Simplify PI into PI 1548151312.350 * [misc]taylor: Taking taylor expansion of n in n 1548151312.350 * [misc]backup-simplify: Simplify 0 into 0 1548151312.350 * [misc]backup-simplify: Simplify 1 into 1 1548151312.350 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151312.351 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151312.351 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.351 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.351 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1548151312.351 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1548151312.351 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548151312.351 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.351 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.351 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548151312.351 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.351 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.351 * [misc]backup-simplify: Simplify 2 into 2 1548151312.352 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.352 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.352 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151312.352 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151312.352 * [misc]taylor: Taking taylor expansion of n in n 1548151312.352 * [misc]backup-simplify: Simplify 0 into 0 1548151312.352 * [misc]backup-simplify: Simplify 1 into 1 1548151312.352 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.352 * [misc]backup-simplify: Simplify PI into PI 1548151312.352 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151312.353 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151312.353 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.353 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.353 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1548151312.353 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1548151312.354 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.354 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.354 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1548151312.354 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1548151312.354 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.354 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.354 * [misc]backup-simplify: Simplify 2 into 2 1548151312.354 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.354 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.354 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151312.354 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151312.354 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.354 * [misc]backup-simplify: Simplify 2 into 2 1548151312.354 * [misc]taylor: Taking taylor expansion of n in n 1548151312.354 * [misc]backup-simplify: Simplify 0 into 0 1548151312.354 * [misc]backup-simplify: Simplify 1 into 1 1548151312.354 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151312.355 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151312.355 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.355 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151312.355 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151312.355 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.355 * [misc]backup-simplify: Simplify PI into PI 1548151312.355 * [misc]taylor: Taking taylor expansion of n in n 1548151312.355 * [misc]backup-simplify: Simplify 0 into 0 1548151312.355 * [misc]backup-simplify: Simplify 1 into 1 1548151312.355 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151312.356 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151312.356 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.356 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.357 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1548151312.358 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1548151312.358 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.358 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548151312.359 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.359 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.359 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1548151312.360 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1548151312.360 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.360 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.360 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.360 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.361 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.361 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.361 * [misc]backup-simplify: Simplify 0 into 0 1548151312.362 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151312.364 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151312.365 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151312.366 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151312.366 * [misc]backup-simplify: Simplify 0 into 0 1548151312.366 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151312.367 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151312.374 * [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 1548151312.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548151312.374 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.374 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.376 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548151312.383 * [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))) 1548151312.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1548151312.385 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1548151312.386 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548151312.386 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.386 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.386 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1548151312.387 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1548151312.390 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1548151312.395 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1548151312.395 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1548151312.395 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1548151312.396 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1548151312.396 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.396 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.396 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1548151312.396 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1548151312.396 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.396 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.396 * [misc]backup-simplify: Simplify 2 into 2 1548151312.396 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.396 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.396 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.396 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.396 * [misc]backup-simplify: Simplify PI into PI 1548151312.396 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.396 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151312.396 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151312.396 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.396 * [misc]backup-simplify: Simplify PI into PI 1548151312.396 * [misc]taylor: Taking taylor expansion of n in n 1548151312.396 * [misc]backup-simplify: Simplify 0 into 0 1548151312.396 * [misc]backup-simplify: Simplify 1 into 1 1548151312.396 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151312.397 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151312.397 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.397 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.397 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1548151312.397 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1548151312.397 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1548151312.397 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.397 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.397 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1548151312.397 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1548151312.397 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.397 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.397 * [misc]backup-simplify: Simplify 2 into 2 1548151312.398 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.398 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.398 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1548151312.398 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.398 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.398 * [misc]backup-simplify: Simplify PI into PI 1548151312.398 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.398 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151312.398 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151312.398 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.398 * [misc]backup-simplify: Simplify PI into PI 1548151312.398 * [misc]taylor: Taking taylor expansion of n in n 1548151312.398 * [misc]backup-simplify: Simplify 0 into 0 1548151312.398 * [misc]backup-simplify: Simplify 1 into 1 1548151312.398 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151312.399 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151312.399 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.399 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.399 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1548151312.399 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1548151312.399 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1548151312.399 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.399 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.399 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1548151312.399 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1548151312.399 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.399 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.399 * [misc]backup-simplify: Simplify 2 into 2 1548151312.400 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.400 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.400 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1548151312.400 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151312.400 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151312.400 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.400 * [misc]backup-simplify: Simplify 2 into 2 1548151312.400 * [misc]taylor: Taking taylor expansion of n in n 1548151312.400 * [misc]backup-simplify: Simplify 0 into 0 1548151312.400 * [misc]backup-simplify: Simplify 1 into 1 1548151312.400 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151312.400 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151312.400 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.400 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.400 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151312.400 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151312.400 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.400 * [misc]backup-simplify: Simplify PI into PI 1548151312.400 * [misc]taylor: Taking taylor expansion of n in n 1548151312.400 * [misc]backup-simplify: Simplify 0 into 0 1548151312.400 * [misc]backup-simplify: Simplify 1 into 1 1548151312.401 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151312.401 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151312.401 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.401 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.401 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1548151312.401 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1548151312.401 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1548151312.401 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.402 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.402 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1548151312.402 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1548151312.402 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.402 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.402 * [misc]backup-simplify: Simplify 2 into 2 1548151312.402 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.402 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.402 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1548151312.402 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151312.402 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151312.402 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.402 * [misc]backup-simplify: Simplify 2 into 2 1548151312.402 * [misc]taylor: Taking taylor expansion of n in n 1548151312.402 * [misc]backup-simplify: Simplify 0 into 0 1548151312.402 * [misc]backup-simplify: Simplify 1 into 1 1548151312.402 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151312.402 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151312.402 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.402 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.402 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.402 * [misc]backup-simplify: Simplify PI into PI 1548151312.403 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.403 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151312.403 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151312.403 * [misc]taylor: Taking taylor expansion of n in n 1548151312.403 * [misc]backup-simplify: Simplify 0 into 0 1548151312.403 * [misc]backup-simplify: Simplify 1 into 1 1548151312.403 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.403 * [misc]backup-simplify: Simplify PI into PI 1548151312.403 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151312.403 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151312.403 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.404 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.404 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1548151312.404 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1548151312.404 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548151312.404 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.404 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.404 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548151312.404 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.404 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.404 * [misc]backup-simplify: Simplify 2 into 2 1548151312.404 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.404 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.404 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151312.404 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151312.404 * [misc]taylor: Taking taylor expansion of n in n 1548151312.404 * [misc]backup-simplify: Simplify 0 into 0 1548151312.404 * [misc]backup-simplify: Simplify 1 into 1 1548151312.404 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.404 * [misc]backup-simplify: Simplify PI into PI 1548151312.404 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151312.405 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151312.405 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.405 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.405 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1548151312.405 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1548151312.405 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.405 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.405 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1548151312.405 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1548151312.405 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.405 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.405 * [misc]backup-simplify: Simplify 2 into 2 1548151312.405 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.405 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.405 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151312.405 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151312.405 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.405 * [misc]backup-simplify: Simplify 2 into 2 1548151312.405 * [misc]taylor: Taking taylor expansion of n in n 1548151312.405 * [misc]backup-simplify: Simplify 0 into 0 1548151312.405 * [misc]backup-simplify: Simplify 1 into 1 1548151312.406 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151312.406 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151312.406 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.406 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151312.406 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151312.406 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.406 * [misc]backup-simplify: Simplify PI into PI 1548151312.406 * [misc]taylor: Taking taylor expansion of n in n 1548151312.406 * [misc]backup-simplify: Simplify 0 into 0 1548151312.406 * [misc]backup-simplify: Simplify 1 into 1 1548151312.406 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151312.406 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151312.407 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.407 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151312.407 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1548151312.408 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1548151312.408 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.408 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1548151312.409 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1548151312.410 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1548151312.410 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.410 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.410 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.410 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1548151312.411 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1548151312.411 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1548151312.411 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.411 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.411 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1548151312.412 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1548151312.412 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1548151312.412 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.412 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548151312.413 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.413 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.413 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1548151312.413 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1548151312.413 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151312.413 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.414 * [misc]backup-simplify: Simplify 0 into 0 1548151312.416 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151312.416 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1548151312.418 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1548151312.421 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1548151312.422 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151312.423 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151312.424 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548151312.426 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151312.426 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.427 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1548151312.427 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1548151312.429 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1548151312.431 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1548151312.434 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1548151312.438 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1548151312.443 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1548151312.450 * [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))))))))) 1548151312.456 * [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))))))))) 1548151312.457 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548151312.459 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1548151312.460 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1548151312.462 * [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)))) 1548151312.468 * [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)))) 1548151312.469 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1548151312.471 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1548151312.477 * [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))))))))))))))) 1548151312.477 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1548151312.477 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1548151312.477 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1548151312.477 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151312.477 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.477 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151312.477 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151312.477 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.477 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.477 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.477 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.477 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.477 * [misc]taylor: Taking taylor expansion of k in n 1548151312.477 * [misc]backup-simplify: Simplify k into k 1548151312.477 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.477 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.477 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.477 * [misc]backup-simplify: Simplify PI into PI 1548151312.477 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.477 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.478 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.478 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.478 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151312.478 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.478 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.478 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.478 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.478 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.478 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.478 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.478 * [misc]taylor: Taking taylor expansion of k in n 1548151312.478 * [misc]backup-simplify: Simplify k into k 1548151312.478 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.478 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.478 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.478 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.478 * [misc]backup-simplify: Simplify 2 into 2 1548151312.478 * [misc]taylor: Taking taylor expansion of n in n 1548151312.478 * [misc]backup-simplify: Simplify 0 into 0 1548151312.478 * [misc]backup-simplify: Simplify 1 into 1 1548151312.478 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.479 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.479 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.479 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.479 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.479 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.479 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.479 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.479 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548151312.479 * [misc]taylor: Taking taylor expansion of k in n 1548151312.479 * [misc]backup-simplify: Simplify k into k 1548151312.479 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548151312.479 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548151312.479 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1548151312.480 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151312.480 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151312.480 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151312.480 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151312.480 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.480 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.480 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.480 * [misc]taylor: Taking taylor expansion of k in k 1548151312.480 * [misc]backup-simplify: Simplify 0 into 0 1548151312.480 * [misc]backup-simplify: Simplify 1 into 1 1548151312.480 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.480 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.480 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.480 * [misc]backup-simplify: Simplify PI into PI 1548151312.480 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.480 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.480 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.480 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.481 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151312.481 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.481 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151312.481 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151312.481 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151312.481 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.481 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.481 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.481 * [misc]taylor: Taking taylor expansion of k in k 1548151312.481 * [misc]backup-simplify: Simplify 0 into 0 1548151312.481 * [misc]backup-simplify: Simplify 1 into 1 1548151312.481 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.481 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151312.481 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151312.481 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.481 * [misc]backup-simplify: Simplify 2 into 2 1548151312.481 * [misc]taylor: Taking taylor expansion of n in k 1548151312.481 * [misc]backup-simplify: Simplify n into n 1548151312.481 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151312.481 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151312.481 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.482 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.482 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.482 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151312.482 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.482 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151312.482 * [misc]taylor: Taking taylor expansion of k in k 1548151312.482 * [misc]backup-simplify: Simplify 0 into 0 1548151312.482 * [misc]backup-simplify: Simplify 1 into 1 1548151312.482 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.482 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.482 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1548151312.482 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151312.482 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151312.482 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151312.482 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151312.482 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.482 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.483 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.483 * [misc]taylor: Taking taylor expansion of k in k 1548151312.483 * [misc]backup-simplify: Simplify 0 into 0 1548151312.483 * [misc]backup-simplify: Simplify 1 into 1 1548151312.483 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.483 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.483 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.483 * [misc]backup-simplify: Simplify PI into PI 1548151312.483 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.483 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.483 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.483 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.484 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151312.484 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.484 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151312.484 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151312.484 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151312.484 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.484 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.484 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.484 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.484 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.484 * [misc]taylor: Taking taylor expansion of k in k 1548151312.484 * [misc]backup-simplify: Simplify 0 into 0 1548151312.484 * [misc]backup-simplify: Simplify 1 into 1 1548151312.484 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.484 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151312.484 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151312.484 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.484 * [misc]backup-simplify: Simplify 2 into 2 1548151312.484 * [misc]taylor: Taking taylor expansion of n in k 1548151312.484 * [misc]backup-simplify: Simplify n into n 1548151312.484 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151312.485 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151312.485 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.485 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.485 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.485 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151312.485 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.485 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151312.485 * [misc]taylor: Taking taylor expansion of k in k 1548151312.485 * [misc]backup-simplify: Simplify 0 into 0 1548151312.485 * [misc]backup-simplify: Simplify 1 into 1 1548151312.485 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.485 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.486 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548151312.486 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1548151312.486 * [misc]taylor: Taking taylor expansion of 0 in n 1548151312.486 * [misc]backup-simplify: Simplify 0 into 0 1548151312.486 * [misc]backup-simplify: Simplify 0 into 0 1548151312.486 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1548151312.486 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151312.486 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151312.486 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151312.486 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.486 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.486 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151312.486 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.486 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151312.486 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151312.486 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.486 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.486 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.487 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.487 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.487 * [misc]taylor: Taking taylor expansion of k in n 1548151312.487 * [misc]backup-simplify: Simplify k into k 1548151312.487 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.487 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.487 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.487 * [misc]backup-simplify: Simplify PI into PI 1548151312.487 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.487 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.487 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.487 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.487 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151312.487 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.487 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.487 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.487 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.487 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.488 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.488 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.488 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.488 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.488 * [misc]taylor: Taking taylor expansion of k in n 1548151312.488 * [misc]backup-simplify: Simplify k into k 1548151312.488 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.488 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.488 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.488 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.488 * [misc]backup-simplify: Simplify 2 into 2 1548151312.488 * [misc]taylor: Taking taylor expansion of n in n 1548151312.488 * [misc]backup-simplify: Simplify 0 into 0 1548151312.488 * [misc]backup-simplify: Simplify 1 into 1 1548151312.488 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.488 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.488 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.488 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.488 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.488 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.489 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.489 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.489 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.489 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1548151312.490 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.490 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.490 * [misc]backup-simplify: Simplify 0 into 0 1548151312.491 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151312.491 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1548151312.491 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151312.491 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151312.491 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151312.491 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.491 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.491 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151312.491 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.491 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151312.491 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151312.491 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.491 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.491 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.491 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.491 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.491 * [misc]taylor: Taking taylor expansion of k in n 1548151312.491 * [misc]backup-simplify: Simplify k into k 1548151312.491 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.491 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.492 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.492 * [misc]backup-simplify: Simplify PI into PI 1548151312.492 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.492 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.492 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.492 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.492 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151312.492 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.492 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.492 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.492 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.492 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.492 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.492 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.492 * [misc]taylor: Taking taylor expansion of k in n 1548151312.493 * [misc]backup-simplify: Simplify k into k 1548151312.493 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.493 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.493 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.493 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.493 * [misc]backup-simplify: Simplify 2 into 2 1548151312.493 * [misc]taylor: Taking taylor expansion of n in n 1548151312.493 * [misc]backup-simplify: Simplify 0 into 0 1548151312.493 * [misc]backup-simplify: Simplify 1 into 1 1548151312.493 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.493 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.493 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.493 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.493 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.494 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.494 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.494 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.494 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.495 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1548151312.495 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.495 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.495 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548151312.498 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151312.498 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151312.498 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.499 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.499 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548151312.500 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151312.503 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151312.503 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.503 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151312.503 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.503 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.504 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1548151312.505 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151312.506 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1548151312.506 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1548151312.507 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.507 * [misc]backup-simplify: Simplify 0 into 0 1548151312.507 * [misc]backup-simplify: Simplify 0 into 0 1548151312.508 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151312.509 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548151312.509 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151312.509 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.510 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.510 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.510 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.510 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of k in n 1548151312.510 * [misc]backup-simplify: Simplify k into k 1548151312.510 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.510 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.510 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.510 * [misc]backup-simplify: Simplify PI into PI 1548151312.510 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.511 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.511 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.511 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.511 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151312.511 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.512 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.512 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.512 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.512 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.512 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.512 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.512 * [misc]taylor: Taking taylor expansion of k in n 1548151312.512 * [misc]backup-simplify: Simplify k into k 1548151312.512 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.512 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.512 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.512 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.512 * [misc]backup-simplify: Simplify 2 into 2 1548151312.512 * [misc]taylor: Taking taylor expansion of n in n 1548151312.512 * [misc]backup-simplify: Simplify 0 into 0 1548151312.512 * [misc]backup-simplify: Simplify 1 into 1 1548151312.512 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.512 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.512 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.513 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.513 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.513 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.513 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.513 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.513 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.514 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1548151312.514 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.514 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.515 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1548151312.516 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1548151312.516 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1548151312.516 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.516 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of k in n 1548151312.516 * [misc]backup-simplify: Simplify k into k 1548151312.516 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.516 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.516 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.516 * [misc]backup-simplify: Simplify -2 into -2 1548151312.516 * [misc]taylor: Taking taylor expansion of n in n 1548151312.516 * [misc]backup-simplify: Simplify 0 into 0 1548151312.516 * [misc]backup-simplify: Simplify 1 into 1 1548151312.516 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.516 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.516 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.517 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.517 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.517 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.517 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.517 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.517 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151312.517 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151312.517 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.517 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.517 * [misc]taylor: Taking taylor expansion of k in n 1548151312.517 * [misc]backup-simplify: Simplify k into k 1548151312.517 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.517 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.517 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.517 * [misc]backup-simplify: Simplify PI into PI 1548151312.518 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.518 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.518 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.518 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151312.518 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.518 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548151312.518 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548151312.518 * [misc]taylor: Taking taylor expansion of -1 in n 1548151312.518 * [misc]backup-simplify: Simplify -1 into -1 1548151312.518 * [misc]taylor: Taking taylor expansion of k in n 1548151312.518 * [misc]backup-simplify: Simplify k into k 1548151312.518 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548151312.518 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548151312.518 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548151312.518 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548151312.519 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151312.519 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1548151312.519 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of k in k 1548151312.519 * [misc]backup-simplify: Simplify 0 into 0 1548151312.519 * [misc]backup-simplify: Simplify 1 into 1 1548151312.519 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.519 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151312.519 * [misc]taylor: Taking taylor expansion of -2 in k 1548151312.519 * [misc]backup-simplify: Simplify -2 into -2 1548151312.519 * [misc]taylor: Taking taylor expansion of n in k 1548151312.519 * [misc]backup-simplify: Simplify n into n 1548151312.520 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151312.520 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151312.520 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.520 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.520 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151312.520 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.520 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151312.520 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151312.520 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151312.520 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.520 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.520 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.520 * [misc]taylor: Taking taylor expansion of k in k 1548151312.520 * [misc]backup-simplify: Simplify 0 into 0 1548151312.520 * [misc]backup-simplify: Simplify 1 into 1 1548151312.520 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.520 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.520 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.520 * [misc]backup-simplify: Simplify PI into PI 1548151312.520 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.521 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.521 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.521 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151312.521 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.521 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151312.521 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151312.521 * [misc]taylor: Taking taylor expansion of -1 in k 1548151312.521 * [misc]backup-simplify: Simplify -1 into -1 1548151312.521 * [misc]taylor: Taking taylor expansion of k in k 1548151312.521 * [misc]backup-simplify: Simplify 0 into 0 1548151312.521 * [misc]backup-simplify: Simplify 1 into 1 1548151312.521 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151312.521 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.522 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151312.522 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151312.522 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151312.522 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of k in k 1548151312.522 * [misc]backup-simplify: Simplify 0 into 0 1548151312.522 * [misc]backup-simplify: Simplify 1 into 1 1548151312.522 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.522 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151312.522 * [misc]taylor: Taking taylor expansion of -2 in k 1548151312.522 * [misc]backup-simplify: Simplify -2 into -2 1548151312.523 * [misc]taylor: Taking taylor expansion of n in k 1548151312.523 * [misc]backup-simplify: Simplify n into n 1548151312.523 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151312.523 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151312.523 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.523 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.523 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151312.523 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.523 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151312.523 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151312.523 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151312.523 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.523 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.523 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.523 * [misc]taylor: Taking taylor expansion of k in k 1548151312.523 * [misc]backup-simplify: Simplify 0 into 0 1548151312.523 * [misc]backup-simplify: Simplify 1 into 1 1548151312.523 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.523 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151312.523 * [misc]taylor: Taking taylor expansion of PI in k 1548151312.523 * [misc]backup-simplify: Simplify PI into PI 1548151312.524 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.524 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.524 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.524 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151312.524 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.524 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151312.524 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151312.524 * [misc]taylor: Taking taylor expansion of -1 in k 1548151312.524 * [misc]backup-simplify: Simplify -1 into -1 1548151312.524 * [misc]taylor: Taking taylor expansion of k in k 1548151312.524 * [misc]backup-simplify: Simplify 0 into 0 1548151312.524 * [misc]backup-simplify: Simplify 1 into 1 1548151312.525 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151312.525 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.525 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151312.525 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151312.525 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151312.525 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151312.525 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.525 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.525 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151312.525 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.525 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.526 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.526 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.526 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.526 * [misc]taylor: Taking taylor expansion of k in n 1548151312.526 * [misc]backup-simplify: Simplify k into k 1548151312.526 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.526 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.526 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.526 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.526 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.526 * [misc]backup-simplify: Simplify -2 into -2 1548151312.526 * [misc]taylor: Taking taylor expansion of n in n 1548151312.526 * [misc]backup-simplify: Simplify 0 into 0 1548151312.526 * [misc]backup-simplify: Simplify 1 into 1 1548151312.526 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.526 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.526 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.526 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.526 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.527 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.527 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.527 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.527 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151312.527 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151312.527 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.527 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.527 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.527 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.527 * [misc]taylor: Taking taylor expansion of k in n 1548151312.527 * [misc]backup-simplify: Simplify k into k 1548151312.527 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.527 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.527 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.527 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.527 * [misc]backup-simplify: Simplify PI into PI 1548151312.527 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.527 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.527 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.528 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151312.528 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.528 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151312.528 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151312.529 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151312.529 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1548151312.529 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548151312.530 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151312.530 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151312.530 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.530 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.530 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.530 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of k in n 1548151312.530 * [misc]backup-simplify: Simplify k into k 1548151312.530 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.530 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.530 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.530 * [misc]backup-simplify: Simplify -2 into -2 1548151312.530 * [misc]taylor: Taking taylor expansion of n in n 1548151312.531 * [misc]backup-simplify: Simplify 0 into 0 1548151312.531 * [misc]backup-simplify: Simplify 1 into 1 1548151312.531 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.531 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.531 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.531 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.531 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.531 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.531 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.531 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.531 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151312.531 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151312.532 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.532 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.532 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.532 * [misc]taylor: Taking taylor expansion of k in n 1548151312.532 * [misc]backup-simplify: Simplify k into k 1548151312.532 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.532 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.532 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.532 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.532 * [misc]backup-simplify: Simplify PI into PI 1548151312.532 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.532 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.532 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.532 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151312.532 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.533 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151312.533 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151312.533 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151312.534 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151312.535 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151312.535 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.535 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151312.536 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.536 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1548151312.537 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151312.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548151312.538 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548151312.538 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.538 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151312.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.539 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.539 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548151312.540 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151312.540 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1548151312.540 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1548151312.540 * [misc]backup-simplify: Simplify 0 into 0 1548151312.540 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1548151312.541 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151312.541 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151312.542 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151312.542 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.542 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.542 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of k in n 1548151312.542 * [misc]backup-simplify: Simplify k into k 1548151312.542 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.542 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.542 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.542 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.542 * [misc]backup-simplify: Simplify -2 into -2 1548151312.542 * [misc]taylor: Taking taylor expansion of n in n 1548151312.542 * [misc]backup-simplify: Simplify 0 into 0 1548151312.542 * [misc]backup-simplify: Simplify 1 into 1 1548151312.543 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.543 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.543 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.543 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.543 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.543 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.544 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.544 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.544 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151312.544 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151312.544 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.544 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.544 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.544 * [misc]taylor: Taking taylor expansion of k in n 1548151312.544 * [misc]backup-simplify: Simplify k into k 1548151312.544 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.544 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.544 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151312.544 * [misc]taylor: Taking taylor expansion of PI in n 1548151312.544 * [misc]backup-simplify: Simplify PI into PI 1548151312.544 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151312.544 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.544 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.545 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151312.545 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.545 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151312.545 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151312.546 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151312.546 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151312.547 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1548151312.547 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1548151312.548 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1548151312.548 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1548151312.548 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1548151312.548 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1548151312.548 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548151312.548 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548151312.548 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548151312.548 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151312.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.548 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151312.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.548 * [misc]taylor: Taking taylor expansion of k in n 1548151312.548 * [misc]backup-simplify: Simplify k into k 1548151312.548 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151312.548 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151312.548 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.548 * [misc]backup-simplify: Simplify 2 into 2 1548151312.548 * [misc]taylor: Taking taylor expansion of n in n 1548151312.548 * [misc]backup-simplify: Simplify 0 into 0 1548151312.548 * [misc]backup-simplify: Simplify 1 into 1 1548151312.548 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151312.548 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151312.548 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.548 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151312.548 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151312.548 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151312.549 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.549 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548151312.549 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1548151312.549 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1548151312.549 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548151312.549 * [misc]taylor: Taking taylor expansion of k in n 1548151312.549 * [misc]backup-simplify: Simplify k into k 1548151312.549 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548151312.549 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548151312.549 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548151312.549 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1548151312.549 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151312.549 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151312.549 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151312.549 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.550 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.550 * [misc]taylor: Taking taylor expansion of k in k 1548151312.550 * [misc]backup-simplify: Simplify 0 into 0 1548151312.550 * [misc]backup-simplify: Simplify 1 into 1 1548151312.550 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151312.550 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151312.550 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.550 * [misc]backup-simplify: Simplify 2 into 2 1548151312.550 * [misc]taylor: Taking taylor expansion of n in k 1548151312.550 * [misc]backup-simplify: Simplify n into n 1548151312.550 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151312.550 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151312.550 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.550 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.550 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.550 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151312.550 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151312.550 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1548151312.550 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151312.550 * [misc]taylor: Taking taylor expansion of k in k 1548151312.550 * [misc]backup-simplify: Simplify 0 into 0 1548151312.550 * [misc]backup-simplify: Simplify 1 into 1 1548151312.550 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.551 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.551 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548151312.551 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1548151312.551 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151312.551 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151312.551 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151312.551 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151312.551 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.551 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151312.551 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.551 * [misc]taylor: Taking taylor expansion of k in k 1548151312.551 * [misc]backup-simplify: Simplify 0 into 0 1548151312.551 * [misc]backup-simplify: Simplify 1 into 1 1548151312.551 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151312.551 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151312.551 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.551 * [misc]backup-simplify: Simplify 2 into 2 1548151312.551 * [misc]taylor: Taking taylor expansion of n in k 1548151312.551 * [misc]backup-simplify: Simplify n into n 1548151312.551 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151312.551 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151312.551 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151312.551 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.552 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.552 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151312.552 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151312.552 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1548151312.552 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151312.552 * [misc]taylor: Taking taylor expansion of k in k 1548151312.552 * [misc]backup-simplify: Simplify 0 into 0 1548151312.552 * [misc]backup-simplify: Simplify 1 into 1 1548151312.552 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.552 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.552 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1548151312.552 * [misc]taylor: Taking taylor expansion of 0 in n 1548151312.552 * [misc]backup-simplify: Simplify 0 into 0 1548151312.552 * [misc]backup-simplify: Simplify 0 into 0 1548151312.553 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1548151312.553 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1548151312.553 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151312.553 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.553 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.553 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1548151312.554 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1548151312.554 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1548151312.555 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1548151312.555 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1548151312.555 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1548151312.555 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.555 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.555 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1548151312.555 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548151312.555 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151312.555 * [misc]taylor: Taking taylor expansion of n in n 1548151312.555 * [misc]backup-simplify: Simplify 0 into 0 1548151312.555 * [misc]backup-simplify: Simplify 1 into 1 1548151312.555 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.555 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.555 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.555 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548151312.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.555 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548151312.555 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548151312.556 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548151312.556 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1548151312.557 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1548151312.557 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548151312.557 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548151312.557 * [misc]backup-simplify: Simplify 0 into 0 1548151312.558 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151312.558 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1548151312.559 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1548151312.559 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151312.559 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.560 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.560 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1548151312.560 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1548151312.562 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1548151312.563 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1548151312.564 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1548151312.564 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1548151312.564 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1548151312.564 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.564 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.564 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1548151312.564 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1548151312.564 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151312.564 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.564 * [misc]backup-simplify: Simplify 2 into 2 1548151312.564 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151312.564 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151312.564 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1548151312.564 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151312.564 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151312.564 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.564 * [misc]backup-simplify: Simplify 2 into 2 1548151312.564 * [misc]taylor: Taking taylor expansion of n in n 1548151312.564 * [misc]backup-simplify: Simplify 0 into 0 1548151312.564 * [misc]backup-simplify: Simplify 1 into 1 1548151312.564 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151312.564 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151312.565 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.565 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1548151312.565 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548151312.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.565 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548151312.565 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548151312.565 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548151312.565 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151312.565 * [misc]taylor: Taking taylor expansion of n in n 1548151312.565 * [misc]backup-simplify: Simplify 0 into 0 1548151312.565 * [misc]backup-simplify: Simplify 1 into 1 1548151312.565 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.566 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.566 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.566 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1548151312.566 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1548151312.566 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.566 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.566 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1548151312.566 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548151312.566 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151312.566 * [misc]taylor: Taking taylor expansion of n in n 1548151312.566 * [misc]backup-simplify: Simplify 0 into 0 1548151312.566 * [misc]backup-simplify: Simplify 1 into 1 1548151312.567 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.567 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.567 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.567 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548151312.567 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.567 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548151312.568 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548151312.568 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.569 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1548151312.569 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1548151312.570 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1548151312.570 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151312.571 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1548151312.571 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548151312.573 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151312.574 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1548151312.575 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1548151312.576 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1548151312.577 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1548151312.581 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1548151312.582 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548151312.582 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1548151312.583 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1548151312.584 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548151312.587 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1548151312.590 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1548151312.593 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1548151312.595 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1548151312.595 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151312.596 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151312.597 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548151312.598 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1548151312.599 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548151312.600 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548151312.605 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1548151312.605 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1548151312.605 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1548151312.605 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1548151312.605 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151312.605 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.605 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.605 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.605 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.606 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.606 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.606 * [misc]taylor: Taking taylor expansion of k in n 1548151312.606 * [misc]backup-simplify: Simplify k into k 1548151312.606 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.606 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.606 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.606 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.606 * [misc]backup-simplify: Simplify 2 into 2 1548151312.606 * [misc]taylor: Taking taylor expansion of n in n 1548151312.606 * [misc]backup-simplify: Simplify 0 into 0 1548151312.606 * [misc]backup-simplify: Simplify 1 into 1 1548151312.606 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.606 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.606 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.606 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.607 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.607 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.607 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.608 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.608 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.608 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548151312.608 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.608 * [misc]taylor: Taking taylor expansion of k in n 1548151312.608 * [misc]backup-simplify: Simplify k into k 1548151312.608 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.608 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548151312.608 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.608 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548151312.608 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.609 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.609 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of k in k 1548151312.609 * [misc]backup-simplify: Simplify 0 into 0 1548151312.609 * [misc]backup-simplify: Simplify 1 into 1 1548151312.609 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.609 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151312.609 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.609 * [misc]backup-simplify: Simplify 2 into 2 1548151312.609 * [misc]taylor: Taking taylor expansion of n in k 1548151312.609 * [misc]backup-simplify: Simplify n into n 1548151312.609 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151312.610 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151312.610 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.610 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.610 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.610 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151312.610 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.610 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548151312.610 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151312.610 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.611 * [misc]taylor: Taking taylor expansion of k in k 1548151312.611 * [misc]backup-simplify: Simplify 0 into 0 1548151312.611 * [misc]backup-simplify: Simplify 1 into 1 1548151312.611 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.611 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.612 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.612 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of k in k 1548151312.612 * [misc]backup-simplify: Simplify 0 into 0 1548151312.612 * [misc]backup-simplify: Simplify 1 into 1 1548151312.612 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.612 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151312.612 * [misc]taylor: Taking taylor expansion of 2 in k 1548151312.612 * [misc]backup-simplify: Simplify 2 into 2 1548151312.612 * [misc]taylor: Taking taylor expansion of n in k 1548151312.612 * [misc]backup-simplify: Simplify n into n 1548151312.612 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151312.612 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151312.613 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.613 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151312.613 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151312.613 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151312.613 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151312.613 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548151312.613 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151312.613 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.613 * [misc]taylor: Taking taylor expansion of k in k 1548151312.613 * [misc]backup-simplify: Simplify 0 into 0 1548151312.614 * [misc]backup-simplify: Simplify 1 into 1 1548151312.614 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.614 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.614 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151312.615 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1548151312.615 * [misc]taylor: Taking taylor expansion of 0 in n 1548151312.615 * [misc]backup-simplify: Simplify 0 into 0 1548151312.615 * [misc]backup-simplify: Simplify 0 into 0 1548151312.615 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548151312.615 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151312.615 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151312.615 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151312.615 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.615 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.615 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151312.615 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.615 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.616 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.616 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.616 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.616 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.616 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.616 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.616 * [misc]taylor: Taking taylor expansion of k in n 1548151312.616 * [misc]backup-simplify: Simplify k into k 1548151312.616 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.616 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.616 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.616 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.616 * [misc]backup-simplify: Simplify 2 into 2 1548151312.616 * [misc]taylor: Taking taylor expansion of n in n 1548151312.616 * [misc]backup-simplify: Simplify 0 into 0 1548151312.616 * [misc]backup-simplify: Simplify 1 into 1 1548151312.616 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.616 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.616 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.617 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.617 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.617 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.617 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.618 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.618 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.618 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.619 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.619 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.619 * [misc]backup-simplify: Simplify 0 into 0 1548151312.619 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151312.620 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151312.621 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548151312.621 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151312.621 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151312.621 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151312.621 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.621 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.621 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151312.622 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.622 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.622 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.622 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.622 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.622 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.622 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.622 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.622 * [misc]taylor: Taking taylor expansion of k in n 1548151312.622 * [misc]backup-simplify: Simplify k into k 1548151312.622 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.622 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.622 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.622 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.622 * [misc]backup-simplify: Simplify 2 into 2 1548151312.622 * [misc]taylor: Taking taylor expansion of n in n 1548151312.622 * [misc]backup-simplify: Simplify 0 into 0 1548151312.622 * [misc]backup-simplify: Simplify 1 into 1 1548151312.622 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.622 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.622 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.623 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.623 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.623 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.623 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.624 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.624 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.624 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.625 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.625 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.625 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548151312.628 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151312.628 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.628 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151312.628 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.628 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.629 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.629 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548151312.630 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151312.631 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1548151312.632 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1548151312.632 * [misc]backup-simplify: Simplify (- 0) into 0 1548151312.632 * [misc]backup-simplify: Simplify 0 into 0 1548151312.632 * [misc]backup-simplify: Simplify 0 into 0 1548151312.632 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151312.633 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151312.634 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548151312.634 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151312.635 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.635 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.635 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.635 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.635 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of k in n 1548151312.635 * [misc]backup-simplify: Simplify k into k 1548151312.635 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.635 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151312.635 * [misc]taylor: Taking taylor expansion of 2 in n 1548151312.635 * [misc]backup-simplify: Simplify 2 into 2 1548151312.635 * [misc]taylor: Taking taylor expansion of n in n 1548151312.635 * [misc]backup-simplify: Simplify 0 into 0 1548151312.635 * [misc]backup-simplify: Simplify 1 into 1 1548151312.635 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151312.636 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151312.636 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.636 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151312.636 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151312.636 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151312.637 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151312.637 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151312.637 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.638 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151312.638 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.638 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151312.640 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1548151312.641 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548151312.641 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1548151312.641 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151312.641 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548151312.641 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548151312.641 * [misc]taylor: Taking taylor expansion of -1 in n 1548151312.641 * [misc]backup-simplify: Simplify -1 into -1 1548151312.641 * [misc]taylor: Taking taylor expansion of k in n 1548151312.641 * [misc]backup-simplify: Simplify k into k 1548151312.641 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548151312.641 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548151312.641 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548151312.641 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548151312.641 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.641 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.641 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.641 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.641 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.641 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.641 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.641 * [misc]taylor: Taking taylor expansion of k in n 1548151312.642 * [misc]backup-simplify: Simplify k into k 1548151312.642 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.642 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.642 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.642 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.642 * [misc]backup-simplify: Simplify -2 into -2 1548151312.642 * [misc]taylor: Taking taylor expansion of n in n 1548151312.642 * [misc]backup-simplify: Simplify 0 into 0 1548151312.642 * [misc]backup-simplify: Simplify 1 into 1 1548151312.642 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.642 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.642 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.642 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.643 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.643 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.643 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.644 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151312.644 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151312.644 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151312.644 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151312.644 * [misc]taylor: Taking taylor expansion of -1 in k 1548151312.644 * [misc]backup-simplify: Simplify -1 into -1 1548151312.644 * [misc]taylor: Taking taylor expansion of k in k 1548151312.644 * [misc]backup-simplify: Simplify 0 into 0 1548151312.644 * [misc]backup-simplify: Simplify 1 into 1 1548151312.644 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151312.644 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.645 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151312.645 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151312.645 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151312.645 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151312.645 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.645 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.645 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.645 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.645 * [misc]taylor: Taking taylor expansion of k in k 1548151312.645 * [misc]backup-simplify: Simplify 0 into 0 1548151312.645 * [misc]backup-simplify: Simplify 1 into 1 1548151312.645 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.645 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.646 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151312.646 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151312.646 * [misc]taylor: Taking taylor expansion of -2 in k 1548151312.646 * [misc]backup-simplify: Simplify -2 into -2 1548151312.646 * [misc]taylor: Taking taylor expansion of n in k 1548151312.646 * [misc]backup-simplify: Simplify n into n 1548151312.646 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151312.646 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151312.646 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.646 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.647 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151312.647 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.647 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548151312.647 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151312.647 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151312.647 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151312.647 * [misc]taylor: Taking taylor expansion of -1 in k 1548151312.647 * [misc]backup-simplify: Simplify -1 into -1 1548151312.647 * [misc]taylor: Taking taylor expansion of k in k 1548151312.647 * [misc]backup-simplify: Simplify 0 into 0 1548151312.647 * [misc]backup-simplify: Simplify 1 into 1 1548151312.648 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151312.648 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151312.648 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151312.648 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151312.649 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151312.649 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151312.649 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151312.649 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151312.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151312.649 * [misc]taylor: Taking taylor expansion of k in k 1548151312.649 * [misc]backup-simplify: Simplify 0 into 0 1548151312.649 * [misc]backup-simplify: Simplify 1 into 1 1548151312.649 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151312.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151312.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.649 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151312.649 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151312.649 * [misc]taylor: Taking taylor expansion of -2 in k 1548151312.649 * [misc]backup-simplify: Simplify -2 into -2 1548151312.649 * [misc]taylor: Taking taylor expansion of n in k 1548151312.649 * [misc]backup-simplify: Simplify n into n 1548151312.649 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151312.649 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151312.649 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151312.650 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151312.650 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151312.650 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151312.650 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548151312.650 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151312.650 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.650 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.650 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.650 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.650 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.650 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.650 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.650 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.650 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.651 * [misc]taylor: Taking taylor expansion of k in n 1548151312.651 * [misc]backup-simplify: Simplify k into k 1548151312.651 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.651 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.651 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.651 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.651 * [misc]backup-simplify: Simplify -2 into -2 1548151312.651 * [misc]taylor: Taking taylor expansion of n in n 1548151312.651 * [misc]backup-simplify: Simplify 0 into 0 1548151312.651 * [misc]backup-simplify: Simplify 1 into 1 1548151312.651 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.651 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.651 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.651 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.652 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.652 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.652 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.653 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151312.653 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151312.653 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548151312.654 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151312.655 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151312.655 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.655 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.655 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.655 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of k in n 1548151312.655 * [misc]backup-simplify: Simplify k into k 1548151312.655 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.655 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.655 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.655 * [misc]backup-simplify: Simplify -2 into -2 1548151312.655 * [misc]taylor: Taking taylor expansion of n in n 1548151312.655 * [misc]backup-simplify: Simplify 0 into 0 1548151312.655 * [misc]backup-simplify: Simplify 1 into 1 1548151312.656 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.656 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.656 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.656 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.656 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.657 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.657 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.657 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151312.658 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151312.658 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548151312.658 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548151312.659 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548151312.661 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548151312.661 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151312.661 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151312.661 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151312.662 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.662 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548151312.663 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151312.664 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1548151312.664 * [misc]backup-simplify: Simplify 0 into 0 1548151312.665 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151312.666 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151312.666 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151312.667 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151312.667 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151312.667 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.667 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of k in n 1548151312.667 * [misc]backup-simplify: Simplify k into k 1548151312.667 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151312.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151312.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151312.667 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151312.667 * [misc]taylor: Taking taylor expansion of -2 in n 1548151312.667 * [misc]backup-simplify: Simplify -2 into -2 1548151312.667 * [misc]taylor: Taking taylor expansion of n in n 1548151312.667 * [misc]backup-simplify: Simplify 0 into 0 1548151312.667 * [misc]backup-simplify: Simplify 1 into 1 1548151312.667 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151312.668 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151312.668 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151312.668 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151312.668 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151312.668 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151312.669 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151312.669 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151312.669 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151312.670 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548151312.670 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548151312.672 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1548151312.672 * * * [misc]progress: simplifying candidates 1548151312.672 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1548151312.672 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1548151312.672 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1548151312.672 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1548151312.672 * * [misc]simplify: iters left: 6 (9 enodes) 1548151312.676 * * [misc]simplify: iters left: 5 (16 enodes) 1548151312.681 * * [misc]simplify: iters left: 4 (32 enodes) 1548151312.693 * * [misc]simplify: iters left: 3 (72 enodes) 1548151312.718 * * [misc]simplify: iters left: 2 (195 enodes) 1548151312.769 * * [misc]simplify: iters left: 1 (418 enodes) 1548151312.947 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1548151312.947 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1548151312.947 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1548151312.947 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1548151312.948 * [enter]simplify: Simplifying (* n 2) 1548151312.948 * * [misc]simplify: iters left: 2 (3 enodes) 1548151312.948 * * [misc]simplify: iters left: 1 (4 enodes) 1548151312.949 * [exit]simplify: Simplified to (* n 2) 1548151312.949 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1548151312.949 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1548151312.949 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548151312.949 * * [misc]simplify: iters left: 3 (6 enodes) 1548151312.950 * * [misc]simplify: iters left: 2 (7 enodes) 1548151312.951 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548151312.951 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1548151312.951 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1548151312.951 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548151312.951 * * [misc]simplify: iters left: 5 (6 enodes) 1548151312.952 * * [misc]simplify: iters left: 4 (8 enodes) 1548151312.954 * * [misc]simplify: iters left: 3 (11 enodes) 1548151312.955 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548151312.955 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1548151312.955 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1548151312.955 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548151312.955 * * [misc]simplify: iters left: 5 (6 enodes) 1548151312.958 * * [misc]simplify: iters left: 4 (8 enodes) 1548151312.960 * * [misc]simplify: iters left: 3 (11 enodes) 1548151312.961 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548151312.961 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1548151312.961 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1548151312.962 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548151312.962 * * [misc]simplify: iters left: 4 (5 enodes) 1548151312.962 * * [misc]simplify: iters left: 3 (7 enodes) 1548151312.963 * * [misc]simplify: iters left: 2 (10 enodes) 1548151312.965 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548151312.965 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1548151312.965 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1548151312.965 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548151312.965 * * [misc]simplify: iters left: 5 (7 enodes) 1548151312.966 * * [misc]simplify: iters left: 4 (10 enodes) 1548151312.967 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548151312.967 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1548151312.967 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1548151312.968 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548151312.968 * * [misc]simplify: iters left: 5 (7 enodes) 1548151312.969 * * [misc]simplify: iters left: 4 (10 enodes) 1548151312.970 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548151312.970 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1548151312.970 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1548151312.970 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1548151312.970 * * [misc]simplify: iters left: 5 (7 enodes) 1548151312.971 * * [misc]simplify: iters left: 4 (9 enodes) 1548151312.973 * * [misc]simplify: iters left: 3 (12 enodes) 1548151312.974 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548151312.974 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1548151312.974 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1548151312.974 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1548151312.974 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1548151312.974 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1548151312.974 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1548151312.974 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1548151312.974 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1548151312.974 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1548151312.975 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1548151312.975 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1548151312.975 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1548151312.975 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1548151312.975 * * [misc]simplify: iters left: 3 (5 enodes) 1548151312.975 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1548151312.975 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151312.976 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1548151312.976 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548151312.976 * * [misc]simplify: iters left: 5 (6 enodes) 1548151312.977 * * [misc]simplify: iters left: 4 (8 enodes) 1548151312.979 * * [misc]simplify: iters left: 3 (11 enodes) 1548151312.982 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548151312.982 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151312.982 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1548151312.982 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548151312.982 * * [misc]simplify: iters left: 5 (6 enodes) 1548151312.984 * * [misc]simplify: iters left: 4 (8 enodes) 1548151312.986 * * [misc]simplify: iters left: 3 (11 enodes) 1548151312.989 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548151312.989 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151312.989 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1548151312.990 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548151312.990 * * [misc]simplify: iters left: 4 (5 enodes) 1548151312.991 * * [misc]simplify: iters left: 3 (7 enodes) 1548151312.993 * * [misc]simplify: iters left: 2 (10 enodes) 1548151312.996 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548151312.996 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151312.996 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1548151312.996 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1548151312.996 * * [misc]simplify: iters left: 5 (6 enodes) 1548151312.998 * * [misc]simplify: iters left: 4 (8 enodes) 1548151313.001 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1548151313.001 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151313.001 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1548151313.001 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1548151313.001 * * [misc]simplify: iters left: 5 (6 enodes) 1548151313.003 * * [misc]simplify: iters left: 4 (8 enodes) 1548151313.006 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1548151313.006 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151313.006 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1548151313.006 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1548151313.007 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548151313.007 * * [misc]simplify: iters left: 6 (16 enodes) 1548151313.013 * * [misc]simplify: iters left: 5 (31 enodes) 1548151313.023 * * [misc]simplify: iters left: 4 (70 enodes) 1548151313.042 * * [misc]simplify: iters left: 3 (225 enodes) 1548151313.145 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1548151313.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1548151313.145 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1548151313.145 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548151313.145 * * [misc]simplify: iters left: 6 (16 enodes) 1548151313.149 * * [misc]simplify: iters left: 5 (31 enodes) 1548151313.159 * * [misc]simplify: iters left: 4 (70 enodes) 1548151313.186 * * [misc]simplify: iters left: 3 (225 enodes) 1548151313.301 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1548151313.301 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1548151313.301 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1548151313.301 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151313.301 * * [misc]simplify: iters left: 6 (16 enodes) 1548151313.307 * * [misc]simplify: iters left: 5 (29 enodes) 1548151313.312 * * [misc]simplify: iters left: 4 (58 enodes) 1548151313.325 * * [misc]simplify: iters left: 3 (142 enodes) 1548151313.387 * * [misc]simplify: iters left: 2 (491 enodes) 1548151313.758 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))) 1548151313.760 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))))) 1548151313.760 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1548151313.760 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151313.760 * * [misc]simplify: iters left: 6 (15 enodes) 1548151313.765 * * [misc]simplify: iters left: 5 (25 enodes) 1548151313.772 * * [misc]simplify: iters left: 4 (42 enodes) 1548151313.787 * * [misc]simplify: iters left: 3 (87 enodes) 1548151313.821 * * [misc]simplify: iters left: 2 (190 enodes) 1548151313.915 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1548151313.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1548151313.915 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1548151313.915 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548151313.915 * * [misc]simplify: iters left: 6 (16 enodes) 1548151313.918 * * [misc]simplify: iters left: 5 (31 enodes) 1548151313.927 * * [misc]simplify: iters left: 4 (64 enodes) 1548151313.955 * * [misc]simplify: iters left: 3 (197 enodes) 1548151314.076 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1548151314.076 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1548151314.076 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1548151314.076 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548151314.076 * * [misc]simplify: iters left: 6 (16 enodes) 1548151314.079 * * [misc]simplify: iters left: 5 (31 enodes) 1548151314.085 * * [misc]simplify: iters left: 4 (64 enodes) 1548151314.110 * * [misc]simplify: iters left: 3 (197 enodes) 1548151314.217 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1548151314.217 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1548151314.217 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1548151314.217 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151314.217 * * [misc]simplify: iters left: 6 (16 enodes) 1548151314.220 * * [misc]simplify: iters left: 5 (29 enodes) 1548151314.224 * * [misc]simplify: iters left: 4 (52 enodes) 1548151314.234 * * [misc]simplify: iters left: 3 (114 enodes) 1548151314.314 * * [misc]simplify: iters left: 2 (450 enodes) 1548151314.543 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1548151314.543 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1548151314.543 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1548151314.544 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151314.544 * * [misc]simplify: iters left: 6 (15 enodes) 1548151314.546 * * [misc]simplify: iters left: 5 (25 enodes) 1548151314.549 * * [misc]simplify: iters left: 4 (37 enodes) 1548151314.555 * * [misc]simplify: iters left: 3 (63 enodes) 1548151314.568 * * [misc]simplify: iters left: 2 (161 enodes) 1548151314.646 * * [misc]simplify: iters left: 1 (499 enodes) 1548151314.940 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1548151314.940 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1548151314.940 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1548151314.940 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1548151314.940 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1548151314.940 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151314.940 * * [misc]simplify: iters left: 6 (19 enodes) 1548151314.943 * * [misc]simplify: iters left: 5 (36 enodes) 1548151314.959 * * [misc]simplify: iters left: 4 (112 enodes) 1548151315.012 * * [misc]simplify: iters left: 3 (434 enodes) 1548151315.725 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1548151315.725 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1548151315.726 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1548151315.726 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151315.726 * * [misc]simplify: iters left: 6 (17 enodes) 1548151315.732 * * [misc]simplify: iters left: 5 (35 enodes) 1548151315.745 * * [misc]simplify: iters left: 4 (92 enodes) 1548151315.779 * * [misc]simplify: iters left: 3 (254 enodes) 1548151315.949 * [exit]simplify: Simplified to (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151315.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151315.949 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1548151315.949 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1548151315.949 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1548151315.949 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1548151315.950 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1548151315.950 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151315.950 * * [misc]simplify: iters left: 6 (15 enodes) 1548151315.955 * * [misc]simplify: iters left: 5 (21 enodes) 1548151315.961 * * [misc]simplify: iters left: 4 (24 enodes) 1548151315.968 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151315.968 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151315.968 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151315.968 * * [misc]simplify: iters left: 6 (15 enodes) 1548151315.972 * * [misc]simplify: iters left: 5 (19 enodes) 1548151315.978 * * [misc]simplify: iters left: 4 (20 enodes) 1548151315.983 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151315.983 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151315.983 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1548151315.984 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151315.984 * * [misc]simplify: iters left: 6 (14 enodes) 1548151315.988 * * [misc]simplify: iters left: 5 (18 enodes) 1548151315.992 * * [misc]simplify: iters left: 4 (21 enodes) 1548151315.995 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151315.995 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151315.995 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151315.995 * * [misc]simplify: iters left: 6 (15 enodes) 1548151315.999 * * [misc]simplify: iters left: 5 (19 enodes) 1548151316.002 * * [misc]simplify: iters left: 4 (20 enodes) 1548151316.005 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.005 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151316.005 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1548151316.005 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151316.005 * * [misc]simplify: iters left: 6 (13 enodes) 1548151316.007 * * [misc]simplify: iters left: 5 (20 enodes) 1548151316.010 * * [misc]simplify: iters left: 4 (27 enodes) 1548151316.014 * * [misc]simplify: iters left: 3 (39 enodes) 1548151316.019 * * [misc]simplify: iters left: 2 (44 enodes) 1548151316.024 * * [misc]simplify: iters left: 1 (51 enodes) 1548151316.032 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1548151316.032 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151316.032 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151316.033 * * [misc]simplify: iters left: 6 (13 enodes) 1548151316.036 * * [misc]simplify: iters left: 5 (18 enodes) 1548151316.041 * * [misc]simplify: iters left: 4 (21 enodes) 1548151316.046 * * [misc]simplify: iters left: 3 (23 enodes) 1548151316.052 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548151316.052 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548151316.052 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1548151316.053 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151316.053 * * [misc]simplify: iters left: 6 (13 enodes) 1548151316.057 * * [misc]simplify: iters left: 5 (20 enodes) 1548151316.062 * * [misc]simplify: iters left: 4 (27 enodes) 1548151316.070 * * [misc]simplify: iters left: 3 (39 enodes) 1548151316.080 * * [misc]simplify: iters left: 2 (44 enodes) 1548151316.090 * * [misc]simplify: iters left: 1 (51 enodes) 1548151316.103 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1548151316.103 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151316.103 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151316.104 * * [misc]simplify: iters left: 6 (13 enodes) 1548151316.107 * * [misc]simplify: iters left: 5 (18 enodes) 1548151316.114 * * [misc]simplify: iters left: 4 (21 enodes) 1548151316.119 * * [misc]simplify: iters left: 3 (23 enodes) 1548151316.125 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548151316.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548151316.126 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1548151316.126 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151316.126 * * [misc]simplify: iters left: 6 (14 enodes) 1548151316.130 * * [misc]simplify: iters left: 5 (21 enodes) 1548151316.136 * * [misc]simplify: iters left: 4 (31 enodes) 1548151316.145 * * [misc]simplify: iters left: 3 (43 enodes) 1548151316.151 * * [misc]simplify: iters left: 2 (48 enodes) 1548151316.157 * * [misc]simplify: iters left: 1 (55 enodes) 1548151316.164 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1548151316.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151316.164 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151316.164 * * [misc]simplify: iters left: 6 (13 enodes) 1548151316.167 * * [misc]simplify: iters left: 5 (18 enodes) 1548151316.169 * * [misc]simplify: iters left: 4 (22 enodes) 1548151316.172 * * [misc]simplify: iters left: 3 (24 enodes) 1548151316.178 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548151316.178 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548151316.178 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1548151316.179 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.179 * * [misc]simplify: iters left: 6 (17 enodes) 1548151316.184 * * [misc]simplify: iters left: 5 (29 enodes) 1548151316.190 * * [misc]simplify: iters left: 4 (50 enodes) 1548151316.198 * * [misc]simplify: iters left: 3 (73 enodes) 1548151316.210 * * [misc]simplify: iters left: 2 (103 enodes) 1548151316.229 * * [misc]simplify: iters left: 1 (127 enodes) 1548151316.261 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548151316.261 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151316.262 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.262 * * [misc]simplify: iters left: 6 (16 enodes) 1548151316.264 * * [misc]simplify: iters left: 5 (22 enodes) 1548151316.268 * * [misc]simplify: iters left: 4 (26 enodes) 1548151316.271 * * [misc]simplify: iters left: 3 (28 enodes) 1548151316.275 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151316.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151316.275 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1548151316.275 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.275 * * [misc]simplify: iters left: 6 (16 enodes) 1548151316.277 * * [misc]simplify: iters left: 5 (24 enodes) 1548151316.281 * * [misc]simplify: iters left: 4 (34 enodes) 1548151316.291 * * [misc]simplify: iters left: 3 (46 enodes) 1548151316.300 * * [misc]simplify: iters left: 2 (51 enodes) 1548151316.307 * * [misc]simplify: iters left: 1 (58 enodes) 1548151316.314 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1548151316.314 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151316.314 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.315 * * [misc]simplify: iters left: 6 (16 enodes) 1548151316.317 * * [misc]simplify: iters left: 5 (22 enodes) 1548151316.320 * * [misc]simplify: iters left: 4 (26 enodes) 1548151316.328 * * [misc]simplify: iters left: 3 (28 enodes) 1548151316.335 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151316.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151316.335 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1548151316.336 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151316.336 * * [misc]simplify: iters left: 6 (10 enodes) 1548151316.339 * * [misc]simplify: iters left: 5 (17 enodes) 1548151316.343 * * [misc]simplify: iters left: 4 (28 enodes) 1548151316.346 * * [misc]simplify: iters left: 3 (33 enodes) 1548151316.349 * * [misc]simplify: iters left: 2 (50 enodes) 1548151316.357 * * [misc]simplify: iters left: 1 (65 enodes) 1548151316.365 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548151316.365 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.366 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151316.366 * * [misc]simplify: iters left: 6 (15 enodes) 1548151316.368 * * [misc]simplify: iters left: 5 (21 enodes) 1548151316.374 * * [misc]simplify: iters left: 4 (25 enodes) 1548151316.380 * * [misc]simplify: iters left: 3 (27 enodes) 1548151316.387 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1548151316.387 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1548151316.388 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1548151316.388 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151316.388 * * [misc]simplify: iters left: 6 (12 enodes) 1548151316.391 * * [misc]simplify: iters left: 5 (17 enodes) 1548151316.396 * * [misc]simplify: iters left: 4 (20 enodes) 1548151316.402 * * [misc]simplify: iters left: 3 (22 enodes) 1548151316.407 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1548151316.408 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151316.408 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151316.408 * * [misc]simplify: iters left: 6 (13 enodes) 1548151316.412 * * [misc]simplify: iters left: 5 (18 enodes) 1548151316.417 * * [misc]simplify: iters left: 4 (21 enodes) 1548151316.423 * * [misc]simplify: iters left: 3 (23 enodes) 1548151316.429 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548151316.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548151316.430 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1548151316.430 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151316.430 * * [misc]simplify: iters left: 6 (12 enodes) 1548151316.434 * * [misc]simplify: iters left: 5 (17 enodes) 1548151316.439 * * [misc]simplify: iters left: 4 (20 enodes) 1548151316.444 * * [misc]simplify: iters left: 3 (22 enodes) 1548151316.450 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1548151316.450 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151316.450 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151316.450 * * [misc]simplify: iters left: 6 (13 enodes) 1548151316.454 * * [misc]simplify: iters left: 5 (18 enodes) 1548151316.459 * * [misc]simplify: iters left: 4 (21 enodes) 1548151316.465 * * [misc]simplify: iters left: 3 (23 enodes) 1548151316.471 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548151316.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548151316.471 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1548151316.472 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151316.472 * * [misc]simplify: iters left: 6 (13 enodes) 1548151316.474 * * [misc]simplify: iters left: 5 (18 enodes) 1548151316.477 * * [misc]simplify: iters left: 4 (24 enodes) 1548151316.480 * * [misc]simplify: iters left: 3 (26 enodes) 1548151316.483 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548151316.483 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151316.483 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151316.483 * * [misc]simplify: iters left: 6 (13 enodes) 1548151316.485 * * [misc]simplify: iters left: 5 (18 enodes) 1548151316.488 * * [misc]simplify: iters left: 4 (22 enodes) 1548151316.492 * * [misc]simplify: iters left: 3 (24 enodes) 1548151316.495 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548151316.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548151316.495 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1548151316.495 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.495 * * [misc]simplify: iters left: 6 (16 enodes) 1548151316.498 * * [misc]simplify: iters left: 5 (24 enodes) 1548151316.501 * * [misc]simplify: iters left: 4 (32 enodes) 1548151316.508 * * [misc]simplify: iters left: 3 (41 enodes) 1548151316.521 * * [misc]simplify: iters left: 2 (49 enodes) 1548151316.533 * * [misc]simplify: iters left: 1 (51 enodes) 1548151316.546 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151316.547 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151316.547 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.547 * * [misc]simplify: iters left: 6 (16 enodes) 1548151316.552 * * [misc]simplify: iters left: 5 (22 enodes) 1548151316.555 * * [misc]simplify: iters left: 4 (26 enodes) 1548151316.559 * * [misc]simplify: iters left: 3 (28 enodes) 1548151316.562 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151316.562 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151316.562 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1548151316.562 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.563 * * [misc]simplify: iters left: 6 (15 enodes) 1548151316.565 * * [misc]simplify: iters left: 5 (21 enodes) 1548151316.568 * * [misc]simplify: iters left: 4 (27 enodes) 1548151316.571 * * [misc]simplify: iters left: 3 (29 enodes) 1548151316.575 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151316.575 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151316.575 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.575 * * [misc]simplify: iters left: 6 (16 enodes) 1548151316.577 * * [misc]simplify: iters left: 5 (22 enodes) 1548151316.580 * * [misc]simplify: iters left: 4 (26 enodes) 1548151316.584 * * [misc]simplify: iters left: 3 (28 enodes) 1548151316.591 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151316.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151316.591 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1548151316.592 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1548151316.592 * * [misc]simplify: iters left: 6 (9 enodes) 1548151316.594 * * [misc]simplify: iters left: 5 (14 enodes) 1548151316.599 * * [misc]simplify: iters left: 4 (21 enodes) 1548151316.603 * * [misc]simplify: iters left: 3 (23 enodes) 1548151316.607 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548151316.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.608 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151316.608 * * [misc]simplify: iters left: 6 (15 enodes) 1548151316.612 * * [misc]simplify: iters left: 5 (21 enodes) 1548151316.617 * * [misc]simplify: iters left: 4 (25 enodes) 1548151316.620 * * [misc]simplify: iters left: 3 (27 enodes) 1548151316.624 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1548151316.624 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1548151316.624 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1548151316.624 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1548151316.624 * * [misc]simplify: iters left: 6 (10 enodes) 1548151316.626 * * [misc]simplify: iters left: 5 (17 enodes) 1548151316.628 * * [misc]simplify: iters left: 4 (19 enodes) 1548151316.631 * * [misc]simplify: iters left: 3 (28 enodes) 1548151316.635 * * [misc]simplify: iters left: 2 (31 enodes) 1548151316.638 * * [misc]simplify: iters left: 1 (33 enodes) 1548151316.641 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1548151316.642 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151316.642 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151316.642 * * [misc]simplify: iters left: 6 (12 enodes) 1548151316.644 * * [misc]simplify: iters left: 5 (17 enodes) 1548151316.646 * * [misc]simplify: iters left: 4 (20 enodes) 1548151316.649 * * [misc]simplify: iters left: 3 (22 enodes) 1548151316.654 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151316.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151316.655 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1548151316.655 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1548151316.655 * * [misc]simplify: iters left: 6 (10 enodes) 1548151316.658 * * [misc]simplify: iters left: 5 (17 enodes) 1548151316.662 * * [misc]simplify: iters left: 4 (19 enodes) 1548151316.668 * * [misc]simplify: iters left: 3 (28 enodes) 1548151316.673 * * [misc]simplify: iters left: 2 (31 enodes) 1548151316.677 * * [misc]simplify: iters left: 1 (33 enodes) 1548151316.680 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1548151316.680 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151316.681 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151316.681 * * [misc]simplify: iters left: 6 (12 enodes) 1548151316.682 * * [misc]simplify: iters left: 5 (17 enodes) 1548151316.685 * * [misc]simplify: iters left: 4 (20 enodes) 1548151316.688 * * [misc]simplify: iters left: 3 (22 enodes) 1548151316.690 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151316.690 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151316.690 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1548151316.691 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151316.691 * * [misc]simplify: iters left: 6 (12 enodes) 1548151316.692 * * [misc]simplify: iters left: 5 (19 enodes) 1548151316.695 * * [misc]simplify: iters left: 4 (24 enodes) 1548151316.699 * * [misc]simplify: iters left: 3 (33 enodes) 1548151316.703 * * [misc]simplify: iters left: 2 (36 enodes) 1548151316.711 * * [misc]simplify: iters left: 1 (39 enodes) 1548151316.721 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1548151316.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151316.721 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151316.721 * * [misc]simplify: iters left: 6 (12 enodes) 1548151316.725 * * [misc]simplify: iters left: 5 (17 enodes) 1548151316.727 * * [misc]simplify: iters left: 4 (21 enodes) 1548151316.730 * * [misc]simplify: iters left: 3 (23 enodes) 1548151316.733 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151316.733 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548151316.733 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1548151316.733 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.733 * * [misc]simplify: iters left: 6 (15 enodes) 1548151316.735 * * [misc]simplify: iters left: 5 (25 enodes) 1548151316.738 * * [misc]simplify: iters left: 4 (32 enodes) 1548151316.743 * * [misc]simplify: iters left: 3 (47 enodes) 1548151316.750 * * [misc]simplify: iters left: 2 (62 enodes) 1548151316.767 * * [misc]simplify: iters left: 1 (76 enodes) 1548151316.785 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1548151316.785 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151316.785 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.785 * * [misc]simplify: iters left: 6 (15 enodes) 1548151316.787 * * [misc]simplify: iters left: 5 (21 enodes) 1548151316.790 * * [misc]simplify: iters left: 4 (25 enodes) 1548151316.793 * * [misc]simplify: iters left: 3 (27 enodes) 1548151316.797 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1548151316.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1548151316.797 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1548151316.797 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.797 * * [misc]simplify: iters left: 6 (14 enodes) 1548151316.799 * * [misc]simplify: iters left: 5 (22 enodes) 1548151316.802 * * [misc]simplify: iters left: 4 (27 enodes) 1548151316.808 * * [misc]simplify: iters left: 3 (36 enodes) 1548151316.817 * * [misc]simplify: iters left: 2 (39 enodes) 1548151316.826 * * [misc]simplify: iters left: 1 (42 enodes) 1548151316.835 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1548151316.835 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151316.835 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151316.835 * * [misc]simplify: iters left: 6 (15 enodes) 1548151316.841 * * [misc]simplify: iters left: 5 (21 enodes) 1548151316.846 * * [misc]simplify: iters left: 4 (25 enodes) 1548151316.853 * * [misc]simplify: iters left: 3 (27 enodes) 1548151316.861 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1548151316.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1548151316.861 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1548151316.861 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1548151316.861 * * [misc]simplify: iters left: 4 (6 enodes) 1548151316.863 * * [misc]simplify: iters left: 3 (9 enodes) 1548151316.865 * [exit]simplify: Simplified to (sqrt PI) 1548151316.865 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.866 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151316.866 * * [misc]simplify: iters left: 6 (14 enodes) 1548151316.870 * * [misc]simplify: iters left: 5 (20 enodes) 1548151316.876 * * [misc]simplify: iters left: 4 (24 enodes) 1548151316.882 * * [misc]simplify: iters left: 3 (26 enodes) 1548151316.889 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151316.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.889 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1548151316.889 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548151316.890 * * [misc]simplify: iters left: 3 (5 enodes) 1548151316.891 * * [misc]simplify: iters left: 2 (8 enodes) 1548151316.894 * * [misc]simplify: iters left: 1 (10 enodes) 1548151316.895 * [exit]simplify: Simplified to (sqrt PI) 1548151316.895 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.896 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151316.896 * * [misc]simplify: iters left: 6 (14 enodes) 1548151316.900 * * [misc]simplify: iters left: 5 (20 enodes) 1548151316.906 * * [misc]simplify: iters left: 4 (24 enodes) 1548151316.912 * * [misc]simplify: iters left: 3 (26 enodes) 1548151316.919 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151316.919 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.919 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1548151316.920 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1548151316.920 * * [misc]simplify: iters left: 3 (6 enodes) 1548151316.921 * * [misc]simplify: iters left: 2 (7 enodes) 1548151316.923 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548151316.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.924 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151316.924 * * [misc]simplify: iters left: 6 (14 enodes) 1548151316.928 * * [misc]simplify: iters left: 5 (22 enodes) 1548151316.934 * * [misc]simplify: iters left: 4 (26 enodes) 1548151316.941 * * [misc]simplify: iters left: 3 (36 enodes) 1548151316.950 * * [misc]simplify: iters left: 2 (38 enodes) 1548151316.957 * * [misc]simplify: iters left: 1 (43 enodes) 1548151316.968 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548151316.968 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1548151316.968 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1548151316.968 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151316.968 * * [misc]simplify: iters left: 6 (11 enodes) 1548151316.972 * * [misc]simplify: iters left: 5 (16 enodes) 1548151316.976 * * [misc]simplify: iters left: 4 (19 enodes) 1548151316.981 * * [misc]simplify: iters left: 3 (21 enodes) 1548151316.986 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1548151316.986 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1548151316.986 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1548151316.986 * * [misc]simplify: iters left: 6 (10 enodes) 1548151316.989 * * [misc]simplify: iters left: 5 (13 enodes) 1548151316.993 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1548151316.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1548151316.993 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1548151316.994 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151316.994 * * [misc]simplify: iters left: 6 (15 enodes) 1548151316.999 * * [misc]simplify: iters left: 5 (21 enodes) 1548151317.005 * * [misc]simplify: iters left: 4 (24 enodes) 1548151317.013 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.013 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.013 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.013 * * [misc]simplify: iters left: 6 (15 enodes) 1548151317.018 * * [misc]simplify: iters left: 5 (19 enodes) 1548151317.023 * * [misc]simplify: iters left: 4 (20 enodes) 1548151317.028 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.028 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.028 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1548151317.029 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.029 * * [misc]simplify: iters left: 6 (14 enodes) 1548151317.033 * * [misc]simplify: iters left: 5 (18 enodes) 1548151317.038 * * [misc]simplify: iters left: 4 (21 enodes) 1548151317.043 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.044 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.044 * * [misc]simplify: iters left: 6 (15 enodes) 1548151317.048 * * [misc]simplify: iters left: 5 (19 enodes) 1548151317.051 * * [misc]simplify: iters left: 4 (20 enodes) 1548151317.053 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.053 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1548151317.054 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151317.054 * * [misc]simplify: iters left: 6 (13 enodes) 1548151317.056 * * [misc]simplify: iters left: 5 (20 enodes) 1548151317.058 * * [misc]simplify: iters left: 4 (27 enodes) 1548151317.062 * * [misc]simplify: iters left: 3 (39 enodes) 1548151317.067 * * [misc]simplify: iters left: 2 (44 enodes) 1548151317.072 * * [misc]simplify: iters left: 1 (51 enodes) 1548151317.078 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1548151317.079 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151317.079 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151317.079 * * [misc]simplify: iters left: 6 (13 enodes) 1548151317.081 * * [misc]simplify: iters left: 5 (18 enodes) 1548151317.083 * * [misc]simplify: iters left: 4 (21 enodes) 1548151317.086 * * [misc]simplify: iters left: 3 (23 enodes) 1548151317.089 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548151317.089 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548151317.089 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1548151317.089 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151317.089 * * [misc]simplify: iters left: 6 (13 enodes) 1548151317.091 * * [misc]simplify: iters left: 5 (20 enodes) 1548151317.093 * * [misc]simplify: iters left: 4 (27 enodes) 1548151317.097 * * [misc]simplify: iters left: 3 (39 enodes) 1548151317.102 * * [misc]simplify: iters left: 2 (44 enodes) 1548151317.108 * * [misc]simplify: iters left: 1 (51 enodes) 1548151317.114 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1548151317.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151317.114 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151317.114 * * [misc]simplify: iters left: 6 (13 enodes) 1548151317.116 * * [misc]simplify: iters left: 5 (18 enodes) 1548151317.119 * * [misc]simplify: iters left: 4 (21 enodes) 1548151317.122 * * [misc]simplify: iters left: 3 (23 enodes) 1548151317.125 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548151317.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548151317.125 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1548151317.125 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151317.125 * * [misc]simplify: iters left: 6 (14 enodes) 1548151317.127 * * [misc]simplify: iters left: 5 (21 enodes) 1548151317.130 * * [misc]simplify: iters left: 4 (31 enodes) 1548151317.135 * * [misc]simplify: iters left: 3 (43 enodes) 1548151317.140 * * [misc]simplify: iters left: 2 (48 enodes) 1548151317.146 * * [misc]simplify: iters left: 1 (55 enodes) 1548151317.154 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1548151317.155 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151317.155 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151317.155 * * [misc]simplify: iters left: 6 (13 enodes) 1548151317.157 * * [misc]simplify: iters left: 5 (18 enodes) 1548151317.160 * * [misc]simplify: iters left: 4 (22 enodes) 1548151317.163 * * [misc]simplify: iters left: 3 (24 enodes) 1548151317.166 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548151317.166 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548151317.166 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1548151317.166 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.166 * * [misc]simplify: iters left: 6 (17 enodes) 1548151317.169 * * [misc]simplify: iters left: 5 (29 enodes) 1548151317.173 * * [misc]simplify: iters left: 4 (50 enodes) 1548151317.180 * * [misc]simplify: iters left: 3 (73 enodes) 1548151317.191 * * [misc]simplify: iters left: 2 (103 enodes) 1548151317.215 * * [misc]simplify: iters left: 1 (127 enodes) 1548151317.251 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548151317.251 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.252 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.252 * * [misc]simplify: iters left: 6 (16 enodes) 1548151317.256 * * [misc]simplify: iters left: 5 (22 enodes) 1548151317.261 * * [misc]simplify: iters left: 4 (26 enodes) 1548151317.267 * * [misc]simplify: iters left: 3 (28 enodes) 1548151317.273 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151317.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151317.273 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1548151317.274 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.274 * * [misc]simplify: iters left: 6 (16 enodes) 1548151317.278 * * [misc]simplify: iters left: 5 (24 enodes) 1548151317.284 * * [misc]simplify: iters left: 4 (34 enodes) 1548151317.292 * * [misc]simplify: iters left: 3 (46 enodes) 1548151317.303 * * [misc]simplify: iters left: 2 (51 enodes) 1548151317.314 * * [misc]simplify: iters left: 1 (58 enodes) 1548151317.326 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1548151317.326 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.326 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.327 * * [misc]simplify: iters left: 6 (16 enodes) 1548151317.330 * * [misc]simplify: iters left: 5 (22 enodes) 1548151317.336 * * [misc]simplify: iters left: 4 (26 enodes) 1548151317.342 * * [misc]simplify: iters left: 3 (28 enodes) 1548151317.348 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151317.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151317.348 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1548151317.348 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151317.348 * * [misc]simplify: iters left: 6 (10 enodes) 1548151317.351 * * [misc]simplify: iters left: 5 (17 enodes) 1548151317.356 * * [misc]simplify: iters left: 4 (28 enodes) 1548151317.363 * * [misc]simplify: iters left: 3 (33 enodes) 1548151317.368 * * [misc]simplify: iters left: 2 (50 enodes) 1548151317.381 * * [misc]simplify: iters left: 1 (65 enodes) 1548151317.394 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548151317.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.395 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151317.395 * * [misc]simplify: iters left: 6 (15 enodes) 1548151317.398 * * [misc]simplify: iters left: 5 (21 enodes) 1548151317.403 * * [misc]simplify: iters left: 4 (25 enodes) 1548151317.409 * * [misc]simplify: iters left: 3 (27 enodes) 1548151317.415 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1548151317.415 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1548151317.415 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1548151317.415 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151317.415 * * [misc]simplify: iters left: 6 (12 enodes) 1548151317.419 * * [misc]simplify: iters left: 5 (17 enodes) 1548151317.423 * * [misc]simplify: iters left: 4 (20 enodes) 1548151317.428 * * [misc]simplify: iters left: 3 (22 enodes) 1548151317.431 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1548151317.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151317.431 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151317.431 * * [misc]simplify: iters left: 6 (13 enodes) 1548151317.433 * * [misc]simplify: iters left: 5 (18 enodes) 1548151317.436 * * [misc]simplify: iters left: 4 (21 enodes) 1548151317.438 * * [misc]simplify: iters left: 3 (23 enodes) 1548151317.441 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548151317.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548151317.442 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1548151317.442 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151317.442 * * [misc]simplify: iters left: 6 (12 enodes) 1548151317.444 * * [misc]simplify: iters left: 5 (17 enodes) 1548151317.446 * * [misc]simplify: iters left: 4 (20 enodes) 1548151317.448 * * [misc]simplify: iters left: 3 (22 enodes) 1548151317.451 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1548151317.451 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151317.451 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151317.451 * * [misc]simplify: iters left: 6 (13 enodes) 1548151317.453 * * [misc]simplify: iters left: 5 (18 enodes) 1548151317.456 * * [misc]simplify: iters left: 4 (21 enodes) 1548151317.459 * * [misc]simplify: iters left: 3 (23 enodes) 1548151317.463 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548151317.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548151317.463 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1548151317.463 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151317.463 * * [misc]simplify: iters left: 6 (13 enodes) 1548151317.465 * * [misc]simplify: iters left: 5 (18 enodes) 1548151317.468 * * [misc]simplify: iters left: 4 (24 enodes) 1548151317.471 * * [misc]simplify: iters left: 3 (26 enodes) 1548151317.479 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548151317.479 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151317.479 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151317.479 * * [misc]simplify: iters left: 6 (13 enodes) 1548151317.484 * * [misc]simplify: iters left: 5 (18 enodes) 1548151317.489 * * [misc]simplify: iters left: 4 (22 enodes) 1548151317.494 * * [misc]simplify: iters left: 3 (24 enodes) 1548151317.501 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548151317.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548151317.501 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1548151317.502 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.502 * * [misc]simplify: iters left: 6 (16 enodes) 1548151317.507 * * [misc]simplify: iters left: 5 (24 enodes) 1548151317.513 * * [misc]simplify: iters left: 4 (32 enodes) 1548151317.522 * * [misc]simplify: iters left: 3 (41 enodes) 1548151317.533 * * [misc]simplify: iters left: 2 (49 enodes) 1548151317.545 * * [misc]simplify: iters left: 1 (51 enodes) 1548151317.558 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151317.558 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.558 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.558 * * [misc]simplify: iters left: 6 (16 enodes) 1548151317.563 * * [misc]simplify: iters left: 5 (22 enodes) 1548151317.568 * * [misc]simplify: iters left: 4 (26 enodes) 1548151317.575 * * [misc]simplify: iters left: 3 (28 enodes) 1548151317.582 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151317.582 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151317.582 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1548151317.582 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.583 * * [misc]simplify: iters left: 6 (15 enodes) 1548151317.587 * * [misc]simplify: iters left: 5 (21 enodes) 1548151317.593 * * [misc]simplify: iters left: 4 (27 enodes) 1548151317.603 * * [misc]simplify: iters left: 3 (29 enodes) 1548151317.610 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151317.610 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.610 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.610 * * [misc]simplify: iters left: 6 (16 enodes) 1548151317.615 * * [misc]simplify: iters left: 5 (22 enodes) 1548151317.621 * * [misc]simplify: iters left: 4 (26 enodes) 1548151317.627 * * [misc]simplify: iters left: 3 (28 enodes) 1548151317.634 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151317.635 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151317.635 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1548151317.635 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1548151317.635 * * [misc]simplify: iters left: 6 (9 enodes) 1548151317.638 * * [misc]simplify: iters left: 5 (14 enodes) 1548151317.642 * * [misc]simplify: iters left: 4 (21 enodes) 1548151317.646 * * [misc]simplify: iters left: 3 (23 enodes) 1548151317.650 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548151317.650 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.651 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151317.651 * * [misc]simplify: iters left: 6 (15 enodes) 1548151317.655 * * [misc]simplify: iters left: 5 (21 enodes) 1548151317.661 * * [misc]simplify: iters left: 4 (25 enodes) 1548151317.667 * * [misc]simplify: iters left: 3 (27 enodes) 1548151317.674 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1548151317.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1548151317.674 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1548151317.674 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1548151317.675 * * [misc]simplify: iters left: 6 (10 enodes) 1548151317.678 * * [misc]simplify: iters left: 5 (17 enodes) 1548151317.682 * * [misc]simplify: iters left: 4 (19 enodes) 1548151317.686 * * [misc]simplify: iters left: 3 (28 enodes) 1548151317.689 * * [misc]simplify: iters left: 2 (31 enodes) 1548151317.693 * * [misc]simplify: iters left: 1 (33 enodes) 1548151317.696 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1548151317.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151317.696 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151317.697 * * [misc]simplify: iters left: 6 (12 enodes) 1548151317.698 * * [misc]simplify: iters left: 5 (17 enodes) 1548151317.701 * * [misc]simplify: iters left: 4 (20 enodes) 1548151317.703 * * [misc]simplify: iters left: 3 (22 enodes) 1548151317.706 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151317.706 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151317.706 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1548151317.706 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1548151317.706 * * [misc]simplify: iters left: 6 (10 enodes) 1548151317.708 * * [misc]simplify: iters left: 5 (17 enodes) 1548151317.710 * * [misc]simplify: iters left: 4 (19 enodes) 1548151317.714 * * [misc]simplify: iters left: 3 (28 enodes) 1548151317.717 * * [misc]simplify: iters left: 2 (31 enodes) 1548151317.721 * * [misc]simplify: iters left: 1 (33 enodes) 1548151317.725 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1548151317.725 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151317.725 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151317.725 * * [misc]simplify: iters left: 6 (12 enodes) 1548151317.727 * * [misc]simplify: iters left: 5 (17 enodes) 1548151317.730 * * [misc]simplify: iters left: 4 (20 enodes) 1548151317.732 * * [misc]simplify: iters left: 3 (22 enodes) 1548151317.735 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151317.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151317.735 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1548151317.735 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151317.735 * * [misc]simplify: iters left: 6 (12 enodes) 1548151317.738 * * [misc]simplify: iters left: 5 (19 enodes) 1548151317.743 * * [misc]simplify: iters left: 4 (24 enodes) 1548151317.749 * * [misc]simplify: iters left: 3 (33 enodes) 1548151317.753 * * [misc]simplify: iters left: 2 (36 enodes) 1548151317.757 * * [misc]simplify: iters left: 1 (39 enodes) 1548151317.762 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1548151317.762 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151317.762 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151317.762 * * [misc]simplify: iters left: 6 (12 enodes) 1548151317.764 * * [misc]simplify: iters left: 5 (17 enodes) 1548151317.766 * * [misc]simplify: iters left: 4 (21 enodes) 1548151317.769 * * [misc]simplify: iters left: 3 (23 enodes) 1548151317.772 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151317.772 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548151317.772 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1548151317.772 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.772 * * [misc]simplify: iters left: 6 (15 enodes) 1548151317.775 * * [misc]simplify: iters left: 5 (25 enodes) 1548151317.779 * * [misc]simplify: iters left: 4 (32 enodes) 1548151317.787 * * [misc]simplify: iters left: 3 (47 enodes) 1548151317.799 * * [misc]simplify: iters left: 2 (62 enodes) 1548151317.817 * * [misc]simplify: iters left: 1 (76 enodes) 1548151317.839 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1548151317.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.839 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.839 * * [misc]simplify: iters left: 6 (15 enodes) 1548151317.844 * * [misc]simplify: iters left: 5 (21 enodes) 1548151317.850 * * [misc]simplify: iters left: 4 (25 enodes) 1548151317.856 * * [misc]simplify: iters left: 3 (27 enodes) 1548151317.863 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1548151317.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1548151317.864 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1548151317.864 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.864 * * [misc]simplify: iters left: 6 (14 enodes) 1548151317.868 * * [misc]simplify: iters left: 5 (22 enodes) 1548151317.874 * * [misc]simplify: iters left: 4 (27 enodes) 1548151317.882 * * [misc]simplify: iters left: 3 (36 enodes) 1548151317.890 * * [misc]simplify: iters left: 2 (39 enodes) 1548151317.896 * * [misc]simplify: iters left: 1 (42 enodes) 1548151317.900 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1548151317.900 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151317.901 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151317.901 * * [misc]simplify: iters left: 6 (15 enodes) 1548151317.903 * * [misc]simplify: iters left: 5 (21 enodes) 1548151317.906 * * [misc]simplify: iters left: 4 (25 enodes) 1548151317.909 * * [misc]simplify: iters left: 3 (27 enodes) 1548151317.913 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1548151317.913 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1548151317.913 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1548151317.913 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1548151317.913 * * [misc]simplify: iters left: 4 (6 enodes) 1548151317.914 * * [misc]simplify: iters left: 3 (9 enodes) 1548151317.915 * [exit]simplify: Simplified to (sqrt PI) 1548151317.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.915 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151317.915 * * [misc]simplify: iters left: 6 (14 enodes) 1548151317.918 * * [misc]simplify: iters left: 5 (20 enodes) 1548151317.920 * * [misc]simplify: iters left: 4 (24 enodes) 1548151317.925 * * [misc]simplify: iters left: 3 (26 enodes) 1548151317.928 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151317.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.929 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1548151317.929 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548151317.929 * * [misc]simplify: iters left: 3 (5 enodes) 1548151317.930 * * [misc]simplify: iters left: 2 (8 enodes) 1548151317.931 * * [misc]simplify: iters left: 1 (10 enodes) 1548151317.932 * [exit]simplify: Simplified to (sqrt PI) 1548151317.932 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.932 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151317.932 * * [misc]simplify: iters left: 6 (14 enodes) 1548151317.934 * * [misc]simplify: iters left: 5 (20 enodes) 1548151317.937 * * [misc]simplify: iters left: 4 (24 enodes) 1548151317.940 * * [misc]simplify: iters left: 3 (26 enodes) 1548151317.943 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151317.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.944 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1548151317.944 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1548151317.944 * * [misc]simplify: iters left: 3 (6 enodes) 1548151317.945 * * [misc]simplify: iters left: 2 (7 enodes) 1548151317.946 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548151317.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.946 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151317.946 * * [misc]simplify: iters left: 6 (14 enodes) 1548151317.948 * * [misc]simplify: iters left: 5 (22 enodes) 1548151317.953 * * [misc]simplify: iters left: 4 (26 enodes) 1548151317.960 * * [misc]simplify: iters left: 3 (36 enodes) 1548151317.965 * * [misc]simplify: iters left: 2 (38 enodes) 1548151317.968 * * [misc]simplify: iters left: 1 (43 enodes) 1548151317.973 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548151317.973 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1548151317.973 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1548151317.973 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151317.973 * * [misc]simplify: iters left: 6 (11 enodes) 1548151317.975 * * [misc]simplify: iters left: 5 (16 enodes) 1548151317.977 * * [misc]simplify: iters left: 4 (19 enodes) 1548151317.980 * * [misc]simplify: iters left: 3 (21 enodes) 1548151317.983 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1548151317.983 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1548151317.983 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1548151317.983 * * [misc]simplify: iters left: 6 (10 enodes) 1548151317.985 * * [misc]simplify: iters left: 5 (13 enodes) 1548151317.987 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1548151317.987 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1548151317.987 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1548151317.987 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151317.987 * * [misc]simplify: iters left: 6 (17 enodes) 1548151317.990 * * [misc]simplify: iters left: 5 (26 enodes) 1548151317.994 * * [misc]simplify: iters left: 4 (38 enodes) 1548151318.001 * * [misc]simplify: iters left: 3 (41 enodes) 1548151318.012 * * [misc]simplify: iters left: 2 (44 enodes) 1548151318.024 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151318.024 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151318.024 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151318.024 * * [misc]simplify: iters left: 6 (15 enodes) 1548151318.029 * * [misc]simplify: iters left: 5 (18 enodes) 1548151318.033 * * [misc]simplify: iters left: 4 (21 enodes) 1548151318.040 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151318.040 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151318.040 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1548151318.040 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151318.040 * * [misc]simplify: iters left: 6 (16 enodes) 1548151318.045 * * [misc]simplify: iters left: 5 (21 enodes) 1548151318.051 * * [misc]simplify: iters left: 4 (26 enodes) 1548151318.058 * * [misc]simplify: iters left: 3 (27 enodes) 1548151318.065 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151318.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151318.065 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151318.065 * * [misc]simplify: iters left: 6 (15 enodes) 1548151318.070 * * [misc]simplify: iters left: 5 (18 enodes) 1548151318.075 * * [misc]simplify: iters left: 4 (21 enodes) 1548151318.081 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151318.081 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151318.081 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1548151318.082 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151318.082 * * [misc]simplify: iters left: 6 (17 enodes) 1548151318.087 * * [misc]simplify: iters left: 5 (27 enodes) 1548151318.092 * * [misc]simplify: iters left: 4 (45 enodes) 1548151318.098 * * [misc]simplify: iters left: 3 (86 enodes) 1548151318.112 * * [misc]simplify: iters left: 2 (137 enodes) 1548151318.149 * * [misc]simplify: iters left: 1 (166 enodes) 1548151318.177 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151318.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151318.178 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151318.178 * * [misc]simplify: iters left: 6 (16 enodes) 1548151318.180 * * [misc]simplify: iters left: 5 (22 enodes) 1548151318.183 * * [misc]simplify: iters left: 4 (26 enodes) 1548151318.188 * * [misc]simplify: iters left: 3 (28 enodes) 1548151318.195 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151318.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151318.195 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1548151318.196 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151318.196 * * [misc]simplify: iters left: 6 (17 enodes) 1548151318.202 * * [misc]simplify: iters left: 5 (27 enodes) 1548151318.210 * * [misc]simplify: iters left: 4 (45 enodes) 1548151318.224 * * [misc]simplify: iters left: 3 (86 enodes) 1548151318.241 * * [misc]simplify: iters left: 2 (137 enodes) 1548151318.266 * * [misc]simplify: iters left: 1 (166 enodes) 1548151318.322 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151318.322 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151318.322 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151318.322 * * [misc]simplify: iters left: 6 (16 enodes) 1548151318.327 * * [misc]simplify: iters left: 5 (22 enodes) 1548151318.333 * * [misc]simplify: iters left: 4 (26 enodes) 1548151318.340 * * [misc]simplify: iters left: 3 (28 enodes) 1548151318.347 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151318.347 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151318.347 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1548151318.348 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151318.348 * * [misc]simplify: iters left: 6 (16 enodes) 1548151318.353 * * [misc]simplify: iters left: 5 (24 enodes) 1548151318.360 * * [misc]simplify: iters left: 4 (42 enodes) 1548151318.374 * * [misc]simplify: iters left: 3 (83 enodes) 1548151318.391 * * [misc]simplify: iters left: 2 (134 enodes) 1548151318.424 * * [misc]simplify: iters left: 1 (163 enodes) 1548151318.480 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151318.480 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151318.480 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151318.480 * * [misc]simplify: iters left: 6 (13 enodes) 1548151318.484 * * [misc]simplify: iters left: 5 (17 enodes) 1548151318.490 * * [misc]simplify: iters left: 4 (23 enodes) 1548151318.496 * * [misc]simplify: iters left: 3 (25 enodes) 1548151318.503 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151318.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151318.503 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1548151318.503 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151318.504 * * [misc]simplify: iters left: 6 (19 enodes) 1548151318.510 * * [misc]simplify: iters left: 5 (32 enodes) 1548151318.522 * * [misc]simplify: iters left: 4 (66 enodes) 1548151318.544 * * [misc]simplify: iters left: 3 (135 enodes) 1548151318.590 * * [misc]simplify: iters left: 2 (266 enodes) 1548151318.662 * * [misc]simplify: iters left: 1 (376 enodes) 1548151318.816 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1548151318.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151318.816 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151318.816 * * [misc]simplify: iters left: 6 (16 enodes) 1548151318.818 * * [misc]simplify: iters left: 5 (21 enodes) 1548151318.821 * * [misc]simplify: iters left: 4 (27 enodes) 1548151318.825 * * [misc]simplify: iters left: 3 (29 enodes) 1548151318.830 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548151318.830 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548151318.830 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1548151318.830 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151318.830 * * [misc]simplify: iters left: 6 (18 enodes) 1548151318.833 * * [misc]simplify: iters left: 5 (27 enodes) 1548151318.837 * * [misc]simplify: iters left: 4 (45 enodes) 1548151318.844 * * [misc]simplify: iters left: 3 (86 enodes) 1548151318.868 * * [misc]simplify: iters left: 2 (137 enodes) 1548151318.894 * * [misc]simplify: iters left: 1 (166 enodes) 1548151318.938 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151318.938 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151318.938 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151318.938 * * [misc]simplify: iters left: 6 (16 enodes) 1548151318.940 * * [misc]simplify: iters left: 5 (21 enodes) 1548151318.943 * * [misc]simplify: iters left: 4 (27 enodes) 1548151318.947 * * [misc]simplify: iters left: 3 (29 enodes) 1548151318.951 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548151318.951 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548151318.951 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1548151318.951 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151318.951 * * [misc]simplify: iters left: 6 (15 enodes) 1548151318.953 * * [misc]simplify: iters left: 5 (25 enodes) 1548151318.957 * * [misc]simplify: iters left: 4 (46 enodes) 1548151318.967 * * [misc]simplify: iters left: 3 (70 enodes) 1548151318.989 * * [misc]simplify: iters left: 2 (144 enodes) 1548151319.026 * * [misc]simplify: iters left: 1 (214 enodes) 1548151319.076 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548151319.076 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151319.076 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151319.076 * * [misc]simplify: iters left: 6 (15 enodes) 1548151319.081 * * [misc]simplify: iters left: 5 (20 enodes) 1548151319.086 * * [misc]simplify: iters left: 4 (26 enodes) 1548151319.093 * * [misc]simplify: iters left: 3 (28 enodes) 1548151319.100 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151319.100 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151319.100 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1548151319.101 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151319.101 * * [misc]simplify: iters left: 6 (16 enodes) 1548151319.106 * * [misc]simplify: iters left: 5 (24 enodes) 1548151319.110 * * [misc]simplify: iters left: 4 (34 enodes) 1548151319.115 * * [misc]simplify: iters left: 3 (46 enodes) 1548151319.121 * * [misc]simplify: iters left: 2 (58 enodes) 1548151319.130 * * [misc]simplify: iters left: 1 (64 enodes) 1548151319.139 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548151319.139 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151319.140 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151319.140 * * [misc]simplify: iters left: 6 (16 enodes) 1548151319.142 * * [misc]simplify: iters left: 5 (22 enodes) 1548151319.149 * * [misc]simplify: iters left: 4 (26 enodes) 1548151319.156 * * [misc]simplify: iters left: 3 (28 enodes) 1548151319.163 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151319.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151319.163 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1548151319.164 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151319.164 * * [misc]simplify: iters left: 6 (16 enodes) 1548151319.169 * * [misc]simplify: iters left: 5 (24 enodes) 1548151319.175 * * [misc]simplify: iters left: 4 (34 enodes) 1548151319.180 * * [misc]simplify: iters left: 3 (46 enodes) 1548151319.186 * * [misc]simplify: iters left: 2 (58 enodes) 1548151319.193 * * [misc]simplify: iters left: 1 (64 enodes) 1548151319.202 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548151319.202 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151319.202 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151319.202 * * [misc]simplify: iters left: 6 (16 enodes) 1548151319.205 * * [misc]simplify: iters left: 5 (22 enodes) 1548151319.211 * * [misc]simplify: iters left: 4 (26 enodes) 1548151319.215 * * [misc]simplify: iters left: 3 (28 enodes) 1548151319.219 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151319.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151319.219 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1548151319.219 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151319.219 * * [misc]simplify: iters left: 6 (15 enodes) 1548151319.222 * * [misc]simplify: iters left: 5 (21 enodes) 1548151319.224 * * [misc]simplify: iters left: 4 (31 enodes) 1548151319.230 * * [misc]simplify: iters left: 3 (43 enodes) 1548151319.236 * * [misc]simplify: iters left: 2 (55 enodes) 1548151319.246 * * [misc]simplify: iters left: 1 (61 enodes) 1548151319.262 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151319.262 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151319.262 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151319.262 * * [misc]simplify: iters left: 6 (13 enodes) 1548151319.266 * * [misc]simplify: iters left: 5 (17 enodes) 1548151319.271 * * [misc]simplify: iters left: 4 (23 enodes) 1548151319.277 * * [misc]simplify: iters left: 3 (25 enodes) 1548151319.283 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151319.283 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151319.283 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1548151319.284 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151319.284 * * [misc]simplify: iters left: 6 (18 enodes) 1548151319.290 * * [misc]simplify: iters left: 5 (27 enodes) 1548151319.298 * * [misc]simplify: iters left: 4 (41 enodes) 1548151319.311 * * [misc]simplify: iters left: 3 (67 enodes) 1548151319.331 * * [misc]simplify: iters left: 2 (106 enodes) 1548151319.367 * * [misc]simplify: iters left: 1 (137 enodes) 1548151319.410 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1548151319.410 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151319.410 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151319.410 * * [misc]simplify: iters left: 6 (16 enodes) 1548151319.415 * * [misc]simplify: iters left: 5 (21 enodes) 1548151319.421 * * [misc]simplify: iters left: 4 (27 enodes) 1548151319.428 * * [misc]simplify: iters left: 3 (29 enodes) 1548151319.436 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151319.436 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548151319.436 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1548151319.436 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151319.436 * * [misc]simplify: iters left: 6 (17 enodes) 1548151319.442 * * [misc]simplify: iters left: 5 (24 enodes) 1548151319.449 * * [misc]simplify: iters left: 4 (34 enodes) 1548151319.459 * * [misc]simplify: iters left: 3 (46 enodes) 1548151319.471 * * [misc]simplify: iters left: 2 (58 enodes) 1548151319.485 * * [misc]simplify: iters left: 1 (64 enodes) 1548151319.495 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151319.495 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151319.496 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151319.496 * * [misc]simplify: iters left: 6 (16 enodes) 1548151319.498 * * [misc]simplify: iters left: 5 (21 enodes) 1548151319.502 * * [misc]simplify: iters left: 4 (27 enodes) 1548151319.506 * * [misc]simplify: iters left: 3 (29 enodes) 1548151319.509 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151319.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548151319.510 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1548151319.510 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1548151319.510 * * [misc]simplify: iters left: 6 (14 enodes) 1548151319.512 * * [misc]simplify: iters left: 5 (22 enodes) 1548151319.516 * * [misc]simplify: iters left: 4 (33 enodes) 1548151319.523 * * [misc]simplify: iters left: 3 (44 enodes) 1548151319.533 * * [misc]simplify: iters left: 2 (45 enodes) 1548151319.541 * * [misc]simplify: iters left: 1 (51 enodes) 1548151319.553 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151319.553 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151319.553 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151319.554 * * [misc]simplify: iters left: 6 (15 enodes) 1548151319.558 * * [misc]simplify: iters left: 5 (20 enodes) 1548151319.564 * * [misc]simplify: iters left: 4 (26 enodes) 1548151319.570 * * [misc]simplify: iters left: 3 (28 enodes) 1548151319.577 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151319.577 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151319.578 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1548151319.578 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1548151319.578 * * [misc]simplify: iters left: 6 (15 enodes) 1548151319.583 * * [misc]simplify: iters left: 5 (25 enodes) 1548151319.589 * * [misc]simplify: iters left: 4 (35 enodes) 1548151319.599 * * [misc]simplify: iters left: 3 (50 enodes) 1548151319.615 * * [misc]simplify: iters left: 2 (98 enodes) 1548151319.647 * * [misc]simplify: iters left: 1 (235 enodes) 1548151319.725 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1548151319.725 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151319.726 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151319.726 * * [misc]simplify: iters left: 6 (15 enodes) 1548151319.730 * * [misc]simplify: iters left: 5 (21 enodes) 1548151319.734 * * [misc]simplify: iters left: 4 (25 enodes) 1548151319.737 * * [misc]simplify: iters left: 3 (27 enodes) 1548151319.741 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1548151319.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1548151319.741 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1548151319.741 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1548151319.741 * * [misc]simplify: iters left: 6 (15 enodes) 1548151319.744 * * [misc]simplify: iters left: 5 (25 enodes) 1548151319.747 * * [misc]simplify: iters left: 4 (35 enodes) 1548151319.752 * * [misc]simplify: iters left: 3 (50 enodes) 1548151319.760 * * [misc]simplify: iters left: 2 (98 enodes) 1548151319.795 * * [misc]simplify: iters left: 1 (235 enodes) 1548151319.877 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1548151319.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151319.877 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151319.877 * * [misc]simplify: iters left: 6 (15 enodes) 1548151319.879 * * [misc]simplify: iters left: 5 (21 enodes) 1548151319.885 * * [misc]simplify: iters left: 4 (25 enodes) 1548151319.888 * * [misc]simplify: iters left: 3 (27 enodes) 1548151319.892 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1548151319.892 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1548151319.892 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1548151319.892 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151319.892 * * [misc]simplify: iters left: 6 (14 enodes) 1548151319.896 * * [misc]simplify: iters left: 5 (22 enodes) 1548151319.903 * * [misc]simplify: iters left: 4 (32 enodes) 1548151319.910 * * [misc]simplify: iters left: 3 (47 enodes) 1548151319.919 * * [misc]simplify: iters left: 2 (95 enodes) 1548151319.940 * * [misc]simplify: iters left: 1 (215 enodes) 1548151319.993 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151319.993 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151319.993 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151319.993 * * [misc]simplify: iters left: 6 (12 enodes) 1548151319.995 * * [misc]simplify: iters left: 5 (16 enodes) 1548151319.997 * * [misc]simplify: iters left: 4 (22 enodes) 1548151320.001 * * [misc]simplify: iters left: 3 (24 enodes) 1548151320.004 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151320.004 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151320.004 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1548151320.004 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151320.004 * * [misc]simplify: iters left: 6 (17 enodes) 1548151320.007 * * [misc]simplify: iters left: 5 (28 enodes) 1548151320.010 * * [misc]simplify: iters left: 4 (42 enodes) 1548151320.020 * * [misc]simplify: iters left: 3 (69 enodes) 1548151320.044 * * [misc]simplify: iters left: 2 (137 enodes) 1548151320.121 * * [misc]simplify: iters left: 1 (398 enodes) 1548151320.394 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151320.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151320.395 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151320.395 * * [misc]simplify: iters left: 6 (15 enodes) 1548151320.399 * * [misc]simplify: iters left: 5 (20 enodes) 1548151320.404 * * [misc]simplify: iters left: 4 (26 enodes) 1548151320.410 * * [misc]simplify: iters left: 3 (28 enodes) 1548151320.419 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151320.419 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151320.419 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1548151320.420 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151320.420 * * [misc]simplify: iters left: 6 (16 enodes) 1548151320.425 * * [misc]simplify: iters left: 5 (25 enodes) 1548151320.431 * * [misc]simplify: iters left: 4 (35 enodes) 1548151320.440 * * [misc]simplify: iters left: 3 (50 enodes) 1548151320.452 * * [misc]simplify: iters left: 2 (73 enodes) 1548151320.472 * * [misc]simplify: iters left: 1 (148 enodes) 1548151320.526 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151320.526 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151320.527 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151320.527 * * [misc]simplify: iters left: 6 (15 enodes) 1548151320.531 * * [misc]simplify: iters left: 5 (20 enodes) 1548151320.535 * * [misc]simplify: iters left: 4 (26 enodes) 1548151320.542 * * [misc]simplify: iters left: 3 (28 enodes) 1548151320.548 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151320.548 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151320.548 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1548151320.549 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1548151320.549 * * [misc]simplify: iters left: 6 (12 enodes) 1548151320.552 * * [misc]simplify: iters left: 5 (18 enodes) 1548151320.556 * * [misc]simplify: iters left: 4 (21 enodes) 1548151320.562 * * [misc]simplify: iters left: 3 (29 enodes) 1548151320.569 * * [misc]simplify: iters left: 2 (31 enodes) 1548151320.575 * * [misc]simplify: iters left: 1 (38 enodes) 1548151320.586 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151320.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151320.586 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151320.587 * * [misc]simplify: iters left: 6 (14 enodes) 1548151320.591 * * [misc]simplify: iters left: 5 (19 enodes) 1548151320.596 * * [misc]simplify: iters left: 4 (25 enodes) 1548151320.602 * * [misc]simplify: iters left: 3 (27 enodes) 1548151320.609 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151320.609 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151320.609 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1548151320.610 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1548151320.610 * * [misc]simplify: iters left: 6 (11 enodes) 1548151320.613 * * [misc]simplify: iters left: 5 (17 enodes) 1548151320.618 * * [misc]simplify: iters left: 4 (26 enodes) 1548151320.624 * * [misc]simplify: iters left: 3 (28 enodes) 1548151320.629 * * [misc]simplify: iters left: 2 (33 enodes) 1548151320.633 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151320.633 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151320.634 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151320.634 * * [misc]simplify: iters left: 6 (14 enodes) 1548151320.636 * * [misc]simplify: iters left: 5 (19 enodes) 1548151320.638 * * [misc]simplify: iters left: 4 (25 enodes) 1548151320.642 * * [misc]simplify: iters left: 3 (27 enodes) 1548151320.645 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151320.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151320.645 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1548151320.646 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1548151320.646 * * [misc]simplify: iters left: 6 (11 enodes) 1548151320.647 * * [misc]simplify: iters left: 5 (15 enodes) 1548151320.650 * * [misc]simplify: iters left: 4 (20 enodes) 1548151320.653 * * [misc]simplify: iters left: 3 (21 enodes) 1548151320.656 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151320.656 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151320.656 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151320.656 * * [misc]simplify: iters left: 6 (14 enodes) 1548151320.658 * * [misc]simplify: iters left: 5 (21 enodes) 1548151320.661 * * [misc]simplify: iters left: 4 (27 enodes) 1548151320.666 * * [misc]simplify: iters left: 3 (37 enodes) 1548151320.674 * * [misc]simplify: iters left: 2 (39 enodes) 1548151320.681 * * [misc]simplify: iters left: 1 (44 enodes) 1548151320.691 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151320.691 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1548151320.691 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1548151320.692 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151320.692 * * [misc]simplify: iters left: 6 (15 enodes) 1548151320.697 * * [misc]simplify: iters left: 5 (23 enodes) 1548151320.703 * * [misc]simplify: iters left: 4 (33 enodes) 1548151320.712 * * [misc]simplify: iters left: 3 (45 enodes) 1548151320.723 * * [misc]simplify: iters left: 2 (57 enodes) 1548151320.737 * * [misc]simplify: iters left: 1 (63 enodes) 1548151320.754 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151320.755 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548151320.755 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548151320.755 * * [misc]simplify: iters left: 6 (12 enodes) 1548151320.759 * * [misc]simplify: iters left: 5 (15 enodes) 1548151320.763 * * [misc]simplify: iters left: 4 (18 enodes) 1548151320.768 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548151320.768 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548151320.768 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1548151320.769 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151320.769 * * [misc]simplify: iters left: 6 (16 enodes) 1548151320.775 * * [misc]simplify: iters left: 5 (21 enodes) 1548151320.782 * * [misc]simplify: iters left: 4 (24 enodes) 1548151320.789 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151320.789 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151320.789 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151320.789 * * [misc]simplify: iters left: 6 (15 enodes) 1548151320.794 * * [misc]simplify: iters left: 5 (18 enodes) 1548151320.799 * * [misc]simplify: iters left: 4 (21 enodes) 1548151320.805 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151320.805 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151320.805 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1548151320.805 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151320.806 * * [misc]simplify: iters left: 6 (15 enodes) 1548151320.810 * * [misc]simplify: iters left: 5 (18 enodes) 1548151320.813 * * [misc]simplify: iters left: 4 (21 enodes) 1548151320.816 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151320.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151320.817 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151320.817 * * [misc]simplify: iters left: 6 (15 enodes) 1548151320.819 * * [misc]simplify: iters left: 5 (18 enodes) 1548151320.821 * * [misc]simplify: iters left: 4 (21 enodes) 1548151320.825 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151320.825 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151320.825 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1548151320.825 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151320.825 * * [misc]simplify: iters left: 6 (16 enodes) 1548151320.827 * * [misc]simplify: iters left: 5 (24 enodes) 1548151320.831 * * [misc]simplify: iters left: 4 (34 enodes) 1548151320.835 * * [misc]simplify: iters left: 3 (46 enodes) 1548151320.842 * * [misc]simplify: iters left: 2 (51 enodes) 1548151320.848 * * [misc]simplify: iters left: 1 (58 enodes) 1548151320.854 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1548151320.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151320.855 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151320.855 * * [misc]simplify: iters left: 6 (16 enodes) 1548151320.857 * * [misc]simplify: iters left: 5 (22 enodes) 1548151320.860 * * [misc]simplify: iters left: 4 (26 enodes) 1548151320.863 * * [misc]simplify: iters left: 3 (28 enodes) 1548151320.868 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151320.868 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151320.868 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1548151320.868 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151320.868 * * [misc]simplify: iters left: 6 (16 enodes) 1548151320.870 * * [misc]simplify: iters left: 5 (24 enodes) 1548151320.874 * * [misc]simplify: iters left: 4 (34 enodes) 1548151320.879 * * [misc]simplify: iters left: 3 (46 enodes) 1548151320.885 * * [misc]simplify: iters left: 2 (51 enodes) 1548151320.891 * * [misc]simplify: iters left: 1 (58 enodes) 1548151320.899 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1548151320.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151320.899 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151320.899 * * [misc]simplify: iters left: 6 (16 enodes) 1548151320.902 * * [misc]simplify: iters left: 5 (22 enodes) 1548151320.908 * * [misc]simplify: iters left: 4 (26 enodes) 1548151320.914 * * [misc]simplify: iters left: 3 (28 enodes) 1548151320.921 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151320.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151320.921 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1548151320.922 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151320.922 * * [misc]simplify: iters left: 6 (15 enodes) 1548151320.926 * * [misc]simplify: iters left: 5 (21 enodes) 1548151320.932 * * [misc]simplify: iters left: 4 (31 enodes) 1548151320.940 * * [misc]simplify: iters left: 3 (43 enodes) 1548151320.952 * * [misc]simplify: iters left: 2 (48 enodes) 1548151320.963 * * [misc]simplify: iters left: 1 (55 enodes) 1548151320.975 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151320.975 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151320.975 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151320.975 * * [misc]simplify: iters left: 6 (13 enodes) 1548151320.979 * * [misc]simplify: iters left: 5 (17 enodes) 1548151320.984 * * [misc]simplify: iters left: 4 (23 enodes) 1548151320.990 * * [misc]simplify: iters left: 3 (25 enodes) 1548151320.997 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151320.997 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151320.997 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1548151320.997 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151320.998 * * [misc]simplify: iters left: 6 (18 enodes) 1548151321.003 * * [misc]simplify: iters left: 5 (29 enodes) 1548151321.012 * * [misc]simplify: iters left: 4 (50 enodes) 1548151321.026 * * [misc]simplify: iters left: 3 (73 enodes) 1548151321.048 * * [misc]simplify: iters left: 2 (103 enodes) 1548151321.076 * * [misc]simplify: iters left: 1 (127 enodes) 1548151321.117 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1548151321.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.118 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.118 * * [misc]simplify: iters left: 6 (16 enodes) 1548151321.120 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.123 * * [misc]simplify: iters left: 4 (27 enodes) 1548151321.127 * * [misc]simplify: iters left: 3 (29 enodes) 1548151321.131 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548151321.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548151321.131 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1548151321.131 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.131 * * [misc]simplify: iters left: 6 (17 enodes) 1548151321.134 * * [misc]simplify: iters left: 5 (24 enodes) 1548151321.138 * * [misc]simplify: iters left: 4 (34 enodes) 1548151321.143 * * [misc]simplify: iters left: 3 (46 enodes) 1548151321.154 * * [misc]simplify: iters left: 2 (51 enodes) 1548151321.166 * * [misc]simplify: iters left: 1 (58 enodes) 1548151321.181 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151321.181 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.181 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.181 * * [misc]simplify: iters left: 6 (16 enodes) 1548151321.186 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.192 * * [misc]simplify: iters left: 4 (27 enodes) 1548151321.199 * * [misc]simplify: iters left: 3 (29 enodes) 1548151321.207 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548151321.207 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548151321.207 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1548151321.207 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151321.207 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.211 * * [misc]simplify: iters left: 5 (22 enodes) 1548151321.218 * * [misc]simplify: iters left: 4 (36 enodes) 1548151321.224 * * [misc]simplify: iters left: 3 (57 enodes) 1548151321.232 * * [misc]simplify: iters left: 2 (119 enodes) 1548151321.257 * * [misc]simplify: iters left: 1 (178 enodes) 1548151321.271 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151321.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.271 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151321.272 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.274 * * [misc]simplify: iters left: 5 (20 enodes) 1548151321.276 * * [misc]simplify: iters left: 4 (26 enodes) 1548151321.280 * * [misc]simplify: iters left: 3 (28 enodes) 1548151321.283 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151321.283 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.283 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1548151321.284 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151321.284 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.287 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.292 * * [misc]simplify: iters left: 4 (27 enodes) 1548151321.298 * * [misc]simplify: iters left: 3 (29 enodes) 1548151321.305 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1548151321.305 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151321.305 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151321.306 * * [misc]simplify: iters left: 6 (16 enodes) 1548151321.310 * * [misc]simplify: iters left: 5 (22 enodes) 1548151321.317 * * [misc]simplify: iters left: 4 (26 enodes) 1548151321.324 * * [misc]simplify: iters left: 3 (28 enodes) 1548151321.331 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151321.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151321.331 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1548151321.331 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151321.332 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.336 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.342 * * [misc]simplify: iters left: 4 (27 enodes) 1548151321.349 * * [misc]simplify: iters left: 3 (29 enodes) 1548151321.356 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1548151321.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151321.357 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151321.357 * * [misc]simplify: iters left: 6 (16 enodes) 1548151321.362 * * [misc]simplify: iters left: 5 (22 enodes) 1548151321.369 * * [misc]simplify: iters left: 4 (26 enodes) 1548151321.376 * * [misc]simplify: iters left: 3 (28 enodes) 1548151321.383 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151321.383 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151321.383 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1548151321.383 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151321.384 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.387 * * [misc]simplify: iters left: 5 (18 enodes) 1548151321.392 * * [misc]simplify: iters left: 4 (24 enodes) 1548151321.399 * * [misc]simplify: iters left: 3 (26 enodes) 1548151321.406 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151321.406 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151321.406 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151321.406 * * [misc]simplify: iters left: 6 (13 enodes) 1548151321.410 * * [misc]simplify: iters left: 5 (17 enodes) 1548151321.415 * * [misc]simplify: iters left: 4 (23 enodes) 1548151321.421 * * [misc]simplify: iters left: 3 (25 enodes) 1548151321.428 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151321.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151321.428 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1548151321.428 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.429 * * [misc]simplify: iters left: 6 (17 enodes) 1548151321.435 * * [misc]simplify: iters left: 5 (24 enodes) 1548151321.442 * * [misc]simplify: iters left: 4 (32 enodes) 1548151321.452 * * [misc]simplify: iters left: 3 (41 enodes) 1548151321.463 * * [misc]simplify: iters left: 2 (49 enodes) 1548151321.475 * * [misc]simplify: iters left: 1 (51 enodes) 1548151321.483 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.483 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.483 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.483 * * [misc]simplify: iters left: 6 (16 enodes) 1548151321.485 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.488 * * [misc]simplify: iters left: 4 (27 enodes) 1548151321.492 * * [misc]simplify: iters left: 3 (29 enodes) 1548151321.496 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151321.496 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548151321.496 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1548151321.496 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.496 * * [misc]simplify: iters left: 6 (16 enodes) 1548151321.498 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.501 * * [misc]simplify: iters left: 4 (27 enodes) 1548151321.505 * * [misc]simplify: iters left: 3 (29 enodes) 1548151321.513 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151321.513 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.514 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.514 * * [misc]simplify: iters left: 6 (16 enodes) 1548151321.519 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.525 * * [misc]simplify: iters left: 4 (27 enodes) 1548151321.532 * * [misc]simplify: iters left: 3 (29 enodes) 1548151321.536 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151321.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548151321.536 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1548151321.536 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1548151321.537 * * [misc]simplify: iters left: 6 (13 enodes) 1548151321.538 * * [misc]simplify: iters left: 5 (19 enodes) 1548151321.543 * * [misc]simplify: iters left: 4 (29 enodes) 1548151321.548 * * [misc]simplify: iters left: 3 (33 enodes) 1548151321.552 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151321.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.552 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151321.552 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.554 * * [misc]simplify: iters left: 5 (20 enodes) 1548151321.557 * * [misc]simplify: iters left: 4 (26 enodes) 1548151321.560 * * [misc]simplify: iters left: 3 (28 enodes) 1548151321.564 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151321.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.564 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1548151321.564 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1548151321.564 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.566 * * [misc]simplify: iters left: 5 (22 enodes) 1548151321.569 * * [misc]simplify: iters left: 4 (28 enodes) 1548151321.574 * * [misc]simplify: iters left: 3 (38 enodes) 1548151321.582 * * [misc]simplify: iters left: 2 (40 enodes) 1548151321.590 * * [misc]simplify: iters left: 1 (45 enodes) 1548151321.599 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548151321.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151321.600 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151321.600 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.602 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.605 * * [misc]simplify: iters left: 4 (25 enodes) 1548151321.608 * * [misc]simplify: iters left: 3 (27 enodes) 1548151321.612 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1548151321.612 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1548151321.612 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1548151321.612 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1548151321.612 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.614 * * [misc]simplify: iters left: 5 (22 enodes) 1548151321.617 * * [misc]simplify: iters left: 4 (28 enodes) 1548151321.621 * * [misc]simplify: iters left: 3 (38 enodes) 1548151321.625 * * [misc]simplify: iters left: 2 (40 enodes) 1548151321.631 * * [misc]simplify: iters left: 1 (45 enodes) 1548151321.640 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548151321.640 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151321.640 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151321.640 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.644 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.647 * * [misc]simplify: iters left: 4 (25 enodes) 1548151321.650 * * [misc]simplify: iters left: 3 (27 enodes) 1548151321.654 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1548151321.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1548151321.654 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1548151321.654 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151321.654 * * [misc]simplify: iters left: 6 (13 enodes) 1548151321.656 * * [misc]simplify: iters left: 5 (19 enodes) 1548151321.659 * * [misc]simplify: iters left: 4 (25 enodes) 1548151321.662 * * [misc]simplify: iters left: 3 (35 enodes) 1548151321.666 * * [misc]simplify: iters left: 2 (37 enodes) 1548151321.670 * * [misc]simplify: iters left: 1 (42 enodes) 1548151321.674 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548151321.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151321.674 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151321.674 * * [misc]simplify: iters left: 6 (12 enodes) 1548151321.676 * * [misc]simplify: iters left: 5 (16 enodes) 1548151321.678 * * [misc]simplify: iters left: 4 (22 enodes) 1548151321.681 * * [misc]simplify: iters left: 3 (24 enodes) 1548151321.684 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151321.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151321.684 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1548151321.684 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.684 * * [misc]simplify: iters left: 6 (16 enodes) 1548151321.687 * * [misc]simplify: iters left: 5 (25 enodes) 1548151321.690 * * [misc]simplify: iters left: 4 (33 enodes) 1548151321.695 * * [misc]simplify: iters left: 3 (47 enodes) 1548151321.702 * * [misc]simplify: iters left: 2 (56 enodes) 1548151321.709 * * [misc]simplify: iters left: 1 (66 enodes) 1548151321.724 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151321.725 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.725 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.725 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.730 * * [misc]simplify: iters left: 5 (20 enodes) 1548151321.736 * * [misc]simplify: iters left: 4 (26 enodes) 1548151321.742 * * [misc]simplify: iters left: 3 (28 enodes) 1548151321.750 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151321.750 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151321.750 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1548151321.750 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.750 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.755 * * [misc]simplify: iters left: 5 (22 enodes) 1548151321.761 * * [misc]simplify: iters left: 4 (28 enodes) 1548151321.768 * * [misc]simplify: iters left: 3 (38 enodes) 1548151321.773 * * [misc]simplify: iters left: 2 (40 enodes) 1548151321.777 * * [misc]simplify: iters left: 1 (45 enodes) 1548151321.782 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548151321.782 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.782 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.782 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.784 * * [misc]simplify: iters left: 5 (20 enodes) 1548151321.787 * * [misc]simplify: iters left: 4 (26 enodes) 1548151321.790 * * [misc]simplify: iters left: 3 (28 enodes) 1548151321.794 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151321.794 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151321.794 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1548151321.794 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1548151321.795 * * [misc]simplify: iters left: 6 (11 enodes) 1548151321.796 * * [misc]simplify: iters left: 5 (15 enodes) 1548151321.800 * * [misc]simplify: iters left: 4 (18 enodes) 1548151321.805 * * [misc]simplify: iters left: 3 (20 enodes) 1548151321.809 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151321.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.809 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151321.810 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.813 * * [misc]simplify: iters left: 5 (19 enodes) 1548151321.816 * * [misc]simplify: iters left: 4 (25 enodes) 1548151321.820 * * [misc]simplify: iters left: 3 (27 enodes) 1548151321.823 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151321.823 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151321.823 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1548151321.823 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1548151321.824 * * [misc]simplify: iters left: 6 (10 enodes) 1548151321.825 * * [misc]simplify: iters left: 5 (14 enodes) 1548151321.828 * * [misc]simplify: iters left: 4 (19 enodes) 1548151321.830 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151321.830 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.830 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151321.830 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.832 * * [misc]simplify: iters left: 5 (19 enodes) 1548151321.835 * * [misc]simplify: iters left: 4 (25 enodes) 1548151321.838 * * [misc]simplify: iters left: 3 (27 enodes) 1548151321.841 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151321.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151321.842 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1548151321.842 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548151321.842 * * [misc]simplify: iters left: 6 (10 enodes) 1548151321.843 * * [misc]simplify: iters left: 5 (12 enodes) 1548151321.845 * * [misc]simplify: iters left: 4 (15 enodes) 1548151321.847 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548151321.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.847 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151321.847 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.849 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.852 * * [misc]simplify: iters left: 4 (27 enodes) 1548151321.856 * * [misc]simplify: iters left: 3 (37 enodes) 1548151321.860 * * [misc]simplify: iters left: 2 (39 enodes) 1548151321.864 * * [misc]simplify: iters left: 1 (44 enodes) 1548151321.869 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548151321.869 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1548151321.869 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1548151321.869 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151321.869 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.871 * * [misc]simplify: iters left: 5 (20 enodes) 1548151321.874 * * [misc]simplify: iters left: 4 (26 enodes) 1548151321.877 * * [misc]simplify: iters left: 3 (28 enodes) 1548151321.881 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1548151321.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548151321.881 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548151321.881 * * [misc]simplify: iters left: 6 (12 enodes) 1548151321.883 * * [misc]simplify: iters left: 5 (15 enodes) 1548151321.885 * * [misc]simplify: iters left: 4 (18 enodes) 1548151321.887 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548151321.887 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548151321.887 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1548151321.887 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151321.887 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.890 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.893 * * [misc]simplify: iters left: 4 (24 enodes) 1548151321.897 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.897 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.897 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.899 * * [misc]simplify: iters left: 5 (17 enodes) 1548151321.901 * * [misc]simplify: iters left: 4 (20 enodes) 1548151321.904 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.904 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.904 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1548151321.905 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.905 * * [misc]simplify: iters left: 6 (13 enodes) 1548151321.907 * * [misc]simplify: iters left: 5 (18 enodes) 1548151321.909 * * [misc]simplify: iters left: 4 (21 enodes) 1548151321.912 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.912 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.912 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.912 * * [misc]simplify: iters left: 6 (14 enodes) 1548151321.915 * * [misc]simplify: iters left: 5 (17 enodes) 1548151321.920 * * [misc]simplify: iters left: 4 (20 enodes) 1548151321.925 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151321.925 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151321.925 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1548151321.926 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151321.926 * * [misc]simplify: iters left: 6 (12 enodes) 1548151321.930 * * [misc]simplify: iters left: 5 (20 enodes) 1548151321.935 * * [misc]simplify: iters left: 4 (27 enodes) 1548151321.942 * * [misc]simplify: iters left: 3 (37 enodes) 1548151321.953 * * [misc]simplify: iters left: 2 (64 enodes) 1548151321.963 * * [misc]simplify: iters left: 1 (93 enodes) 1548151321.978 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151321.978 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151321.978 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151321.978 * * [misc]simplify: iters left: 6 (15 enodes) 1548151321.982 * * [misc]simplify: iters left: 5 (21 enodes) 1548151321.988 * * [misc]simplify: iters left: 4 (25 enodes) 1548151321.994 * * [misc]simplify: iters left: 3 (27 enodes) 1548151322.001 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151322.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151322.002 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1548151322.002 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151322.002 * * [misc]simplify: iters left: 6 (12 enodes) 1548151322.006 * * [misc]simplify: iters left: 5 (20 enodes) 1548151322.011 * * [misc]simplify: iters left: 4 (27 enodes) 1548151322.018 * * [misc]simplify: iters left: 3 (37 enodes) 1548151322.031 * * [misc]simplify: iters left: 2 (64 enodes) 1548151322.051 * * [misc]simplify: iters left: 1 (93 enodes) 1548151322.079 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151322.079 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151322.080 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151322.080 * * [misc]simplify: iters left: 6 (15 enodes) 1548151322.084 * * [misc]simplify: iters left: 5 (21 enodes) 1548151322.090 * * [misc]simplify: iters left: 4 (25 enodes) 1548151322.097 * * [misc]simplify: iters left: 3 (27 enodes) 1548151322.104 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151322.104 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151322.104 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1548151322.105 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151322.105 * * [misc]simplify: iters left: 6 (13 enodes) 1548151322.109 * * [misc]simplify: iters left: 5 (21 enodes) 1548151322.115 * * [misc]simplify: iters left: 4 (31 enodes) 1548151322.127 * * [misc]simplify: iters left: 3 (51 enodes) 1548151322.144 * * [misc]simplify: iters left: 2 (90 enodes) 1548151322.172 * * [misc]simplify: iters left: 1 (181 enodes) 1548151322.255 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151322.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151322.256 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151322.256 * * [misc]simplify: iters left: 6 (12 enodes) 1548151322.260 * * [misc]simplify: iters left: 5 (16 enodes) 1548151322.264 * * [misc]simplify: iters left: 4 (22 enodes) 1548151322.271 * * [misc]simplify: iters left: 3 (24 enodes) 1548151322.277 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1548151322.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548151322.277 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1548151322.277 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151322.278 * * [misc]simplify: iters left: 6 (16 enodes) 1548151322.282 * * [misc]simplify: iters left: 5 (29 enodes) 1548151322.290 * * [misc]simplify: iters left: 4 (50 enodes) 1548151322.306 * * [misc]simplify: iters left: 3 (70 enodes) 1548151322.331 * * [misc]simplify: iters left: 2 (169 enodes) 1548151322.405 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548151322.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151322.405 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151322.405 * * [misc]simplify: iters left: 6 (15 enodes) 1548151322.410 * * [misc]simplify: iters left: 5 (20 enodes) 1548151322.414 * * [misc]simplify: iters left: 4 (26 enodes) 1548151322.417 * * [misc]simplify: iters left: 3 (28 enodes) 1548151322.421 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151322.421 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151322.421 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1548151322.421 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151322.421 * * [misc]simplify: iters left: 6 (15 enodes) 1548151322.424 * * [misc]simplify: iters left: 5 (24 enodes) 1548151322.427 * * [misc]simplify: iters left: 4 (34 enodes) 1548151322.432 * * [misc]simplify: iters left: 3 (54 enodes) 1548151322.441 * * [misc]simplify: iters left: 2 (93 enodes) 1548151322.467 * * [misc]simplify: iters left: 1 (182 enodes) 1548151322.548 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151322.548 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151322.548 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151322.549 * * [misc]simplify: iters left: 6 (15 enodes) 1548151322.553 * * [misc]simplify: iters left: 5 (20 enodes) 1548151322.558 * * [misc]simplify: iters left: 4 (26 enodes) 1548151322.565 * * [misc]simplify: iters left: 3 (28 enodes) 1548151322.573 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151322.573 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151322.573 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1548151322.573 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151322.573 * * [misc]simplify: iters left: 6 (7 enodes) 1548151322.576 * * [misc]simplify: iters left: 5 (13 enodes) 1548151322.583 * * [misc]simplify: iters left: 4 (22 enodes) 1548151322.586 * * [misc]simplify: iters left: 3 (24 enodes) 1548151322.588 * * [misc]simplify: iters left: 2 (29 enodes) 1548151322.591 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1548151322.591 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151322.592 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151322.592 * * [misc]simplify: iters left: 6 (14 enodes) 1548151322.594 * * [misc]simplify: iters left: 5 (19 enodes) 1548151322.597 * * [misc]simplify: iters left: 4 (25 enodes) 1548151322.600 * * [misc]simplify: iters left: 3 (27 enodes) 1548151322.604 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548151322.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151322.604 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1548151322.604 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151322.604 * * [misc]simplify: iters left: 6 (11 enodes) 1548151322.606 * * [misc]simplify: iters left: 5 (17 enodes) 1548151322.608 * * [misc]simplify: iters left: 4 (20 enodes) 1548151322.610 * * [misc]simplify: iters left: 3 (22 enodes) 1548151322.614 * * [misc]simplify: iters left: 2 (34 enodes) 1548151322.618 * * [misc]simplify: iters left: 1 (42 enodes) 1548151322.625 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1548151322.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151322.625 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151322.625 * * [misc]simplify: iters left: 6 (15 enodes) 1548151322.629 * * [misc]simplify: iters left: 5 (21 enodes) 1548151322.635 * * [misc]simplify: iters left: 4 (25 enodes) 1548151322.642 * * [misc]simplify: iters left: 3 (27 enodes) 1548151322.650 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151322.651 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151322.651 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1548151322.651 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151322.651 * * [misc]simplify: iters left: 6 (11 enodes) 1548151322.654 * * [misc]simplify: iters left: 5 (17 enodes) 1548151322.657 * * [misc]simplify: iters left: 4 (20 enodes) 1548151322.660 * * [misc]simplify: iters left: 3 (22 enodes) 1548151322.663 * * [misc]simplify: iters left: 2 (34 enodes) 1548151322.667 * * [misc]simplify: iters left: 1 (42 enodes) 1548151322.671 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1548151322.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151322.671 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151322.671 * * [misc]simplify: iters left: 6 (15 enodes) 1548151322.673 * * [misc]simplify: iters left: 5 (21 enodes) 1548151322.677 * * [misc]simplify: iters left: 4 (25 enodes) 1548151322.680 * * [misc]simplify: iters left: 3 (27 enodes) 1548151322.683 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151322.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151322.684 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1548151322.684 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151322.684 * * [misc]simplify: iters left: 6 (12 enodes) 1548151322.686 * * [misc]simplify: iters left: 5 (18 enodes) 1548151322.689 * * [misc]simplify: iters left: 4 (24 enodes) 1548151322.692 * * [misc]simplify: iters left: 3 (32 enodes) 1548151322.697 * * [misc]simplify: iters left: 2 (41 enodes) 1548151322.702 * * [misc]simplify: iters left: 1 (51 enodes) 1548151322.707 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548151322.707 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151322.708 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151322.708 * * [misc]simplify: iters left: 6 (12 enodes) 1548151322.709 * * [misc]simplify: iters left: 5 (16 enodes) 1548151322.712 * * [misc]simplify: iters left: 4 (22 enodes) 1548151322.717 * * [misc]simplify: iters left: 3 (24 enodes) 1548151322.723 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1548151322.723 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548151322.723 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1548151322.723 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151322.723 * * [misc]simplify: iters left: 6 (15 enodes) 1548151322.726 * * [misc]simplify: iters left: 5 (24 enodes) 1548151322.729 * * [misc]simplify: iters left: 4 (32 enodes) 1548151322.734 * * [misc]simplify: iters left: 3 (43 enodes) 1548151322.740 * * [misc]simplify: iters left: 2 (69 enodes) 1548151322.751 * * [misc]simplify: iters left: 1 (119 enodes) 1548151322.792 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151322.792 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151322.792 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151322.792 * * [misc]simplify: iters left: 6 (15 enodes) 1548151322.794 * * [misc]simplify: iters left: 5 (20 enodes) 1548151322.797 * * [misc]simplify: iters left: 4 (26 enodes) 1548151322.801 * * [misc]simplify: iters left: 3 (28 enodes) 1548151322.804 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151322.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151322.804 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1548151322.804 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151322.804 * * [misc]simplify: iters left: 6 (14 enodes) 1548151322.806 * * [misc]simplify: iters left: 5 (21 enodes) 1548151322.809 * * [misc]simplify: iters left: 4 (27 enodes) 1548151322.813 * * [misc]simplify: iters left: 3 (35 enodes) 1548151322.823 * * [misc]simplify: iters left: 2 (43 enodes) 1548151322.830 * * [misc]simplify: iters left: 1 (56 enodes) 1548151322.838 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151322.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151322.838 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151322.838 * * [misc]simplify: iters left: 6 (15 enodes) 1548151322.841 * * [misc]simplify: iters left: 5 (20 enodes) 1548151322.845 * * [misc]simplify: iters left: 4 (26 enodes) 1548151322.849 * * [misc]simplify: iters left: 3 (28 enodes) 1548151322.852 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151322.852 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151322.852 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1548151322.853 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1548151322.853 * * [misc]simplify: iters left: 6 (6 enodes) 1548151322.854 * * [misc]simplify: iters left: 5 (10 enodes) 1548151322.855 * * [misc]simplify: iters left: 4 (16 enodes) 1548151322.857 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1548151322.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151322.857 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151322.857 * * [misc]simplify: iters left: 6 (14 enodes) 1548151322.859 * * [misc]simplify: iters left: 5 (19 enodes) 1548151322.862 * * [misc]simplify: iters left: 4 (25 enodes) 1548151322.866 * * [misc]simplify: iters left: 3 (27 enodes) 1548151322.870 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548151322.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151322.870 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1548151322.870 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1548151322.870 * * [misc]simplify: iters left: 6 (8 enodes) 1548151322.872 * * [misc]simplify: iters left: 5 (14 enodes) 1548151322.873 * * [misc]simplify: iters left: 4 (15 enodes) 1548151322.875 * * [misc]simplify: iters left: 3 (19 enodes) 1548151322.877 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1548151322.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151322.877 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151322.877 * * [misc]simplify: iters left: 6 (14 enodes) 1548151322.879 * * [misc]simplify: iters left: 5 (20 enodes) 1548151322.883 * * [misc]simplify: iters left: 4 (24 enodes) 1548151322.886 * * [misc]simplify: iters left: 3 (26 enodes) 1548151322.889 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548151322.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1548151322.889 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1548151322.889 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1548151322.889 * * [misc]simplify: iters left: 6 (8 enodes) 1548151322.891 * * [misc]simplify: iters left: 5 (14 enodes) 1548151322.893 * * [misc]simplify: iters left: 4 (15 enodes) 1548151322.897 * * [misc]simplify: iters left: 3 (19 enodes) 1548151322.901 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1548151322.901 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151322.901 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151322.901 * * [misc]simplify: iters left: 6 (14 enodes) 1548151322.905 * * [misc]simplify: iters left: 5 (20 enodes) 1548151322.911 * * [misc]simplify: iters left: 4 (24 enodes) 1548151322.917 * * [misc]simplify: iters left: 3 (26 enodes) 1548151322.924 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548151322.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1548151322.924 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1548151322.924 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151322.924 * * [misc]simplify: iters left: 6 (10 enodes) 1548151322.928 * * [misc]simplify: iters left: 5 (16 enodes) 1548151322.932 * * [misc]simplify: iters left: 4 (20 enodes) 1548151322.938 * * [misc]simplify: iters left: 3 (24 enodes) 1548151322.943 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548151322.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151322.944 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151322.944 * * [misc]simplify: iters left: 6 (11 enodes) 1548151322.948 * * [misc]simplify: iters left: 5 (15 enodes) 1548151322.953 * * [misc]simplify: iters left: 4 (21 enodes) 1548151322.958 * * [misc]simplify: iters left: 3 (23 enodes) 1548151322.964 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151322.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151322.964 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1548151322.965 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151322.965 * * [misc]simplify: iters left: 6 (13 enodes) 1548151322.969 * * [misc]simplify: iters left: 5 (22 enodes) 1548151322.974 * * [misc]simplify: iters left: 4 (26 enodes) 1548151322.977 * * [misc]simplify: iters left: 3 (32 enodes) 1548151322.981 * * [misc]simplify: iters left: 2 (34 enodes) 1548151322.985 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151322.985 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151322.986 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151322.986 * * [misc]simplify: iters left: 6 (14 enodes) 1548151322.988 * * [misc]simplify: iters left: 5 (19 enodes) 1548151322.990 * * [misc]simplify: iters left: 4 (25 enodes) 1548151322.993 * * [misc]simplify: iters left: 3 (27 enodes) 1548151322.997 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151322.998 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151322.998 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1548151322.998 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151322.998 * * [misc]simplify: iters left: 6 (12 enodes) 1548151323.000 * * [misc]simplify: iters left: 5 (19 enodes) 1548151323.002 * * [misc]simplify: iters left: 4 (23 enodes) 1548151323.006 * * [misc]simplify: iters left: 3 (27 enodes) 1548151323.009 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1548151323.009 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151323.009 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151323.009 * * [misc]simplify: iters left: 6 (14 enodes) 1548151323.011 * * [misc]simplify: iters left: 5 (19 enodes) 1548151323.015 * * [misc]simplify: iters left: 4 (25 enodes) 1548151323.022 * * [misc]simplify: iters left: 3 (27 enodes) 1548151323.029 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.030 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.030 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1548151323.030 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1548151323.030 * * [misc]simplify: iters left: 4 (3 enodes) 1548151323.031 * * [misc]simplify: iters left: 3 (5 enodes) 1548151323.032 * [exit]simplify: Simplified to 1 1548151323.032 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.032 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.033 * * [misc]simplify: iters left: 6 (13 enodes) 1548151323.036 * * [misc]simplify: iters left: 5 (18 enodes) 1548151323.042 * * [misc]simplify: iters left: 4 (24 enodes) 1548151323.048 * * [misc]simplify: iters left: 3 (26 enodes) 1548151323.055 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548151323.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1548151323.055 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1548151323.055 * [enter]simplify: Simplifying (/ 1 1) 1548151323.056 * * [misc]simplify: iters left: 2 (2 enodes) 1548151323.056 * * [misc]simplify: iters left: 1 (4 enodes) 1548151323.057 * [exit]simplify: Simplified to 1 1548151323.057 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.057 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.057 * * [misc]simplify: iters left: 6 (13 enodes) 1548151323.062 * * [misc]simplify: iters left: 5 (18 enodes) 1548151323.067 * * [misc]simplify: iters left: 4 (24 enodes) 1548151323.073 * * [misc]simplify: iters left: 3 (26 enodes) 1548151323.080 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548151323.080 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1548151323.080 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1548151323.080 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1548151323.080 * * [misc]simplify: iters left: 3 (4 enodes) 1548151323.082 * * [misc]simplify: iters left: 2 (6 enodes) 1548151323.083 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1548151323.083 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.084 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.084 * * [misc]simplify: iters left: 6 (13 enodes) 1548151323.088 * * [misc]simplify: iters left: 5 (20 enodes) 1548151323.094 * * [misc]simplify: iters left: 4 (26 enodes) 1548151323.102 * * [misc]simplify: iters left: 3 (36 enodes) 1548151323.110 * * [misc]simplify: iters left: 2 (38 enodes) 1548151323.117 * * [misc]simplify: iters left: 1 (43 enodes) 1548151323.126 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1548151323.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1548151323.126 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1548151323.127 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1548151323.127 * * [misc]simplify: iters left: 6 (10 enodes) 1548151323.130 * * [misc]simplify: iters left: 5 (16 enodes) 1548151323.134 * * [misc]simplify: iters left: 4 (19 enodes) 1548151323.138 * * [misc]simplify: iters left: 3 (21 enodes) 1548151323.144 * * [misc]simplify: iters left: 2 (33 enodes) 1548151323.152 * * [misc]simplify: iters left: 1 (41 enodes) 1548151323.160 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1548151323.160 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1548151323.160 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1548151323.160 * * [misc]simplify: iters left: 6 (11 enodes) 1548151323.164 * * [misc]simplify: iters left: 5 (14 enodes) 1548151323.167 * * [misc]simplify: iters left: 4 (17 enodes) 1548151323.172 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1548151323.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1548151323.173 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1548151323.173 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1548151323.173 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1548151323.173 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1548151323.173 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.173 * * [misc]simplify: iters left: 6 (11 enodes) 1548151323.176 * * [misc]simplify: iters left: 5 (14 enodes) 1548151323.180 * * [misc]simplify: iters left: 4 (17 enodes) 1548151323.185 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.185 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.185 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1548151323.185 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.185 * * [misc]simplify: iters left: 6 (11 enodes) 1548151323.188 * * [misc]simplify: iters left: 5 (14 enodes) 1548151323.192 * * [misc]simplify: iters left: 4 (17 enodes) 1548151323.197 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.197 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.197 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1548151323.197 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151323.197 * * [misc]simplify: iters left: 6 (10 enodes) 1548151323.200 * * [misc]simplify: iters left: 5 (13 enodes) 1548151323.204 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151323.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151323.205 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1548151323.205 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151323.205 * * [misc]simplify: iters left: 6 (10 enodes) 1548151323.208 * * [misc]simplify: iters left: 5 (13 enodes) 1548151323.211 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151323.211 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151323.211 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1548151323.212 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151323.212 * * [misc]simplify: iters left: 6 (9 enodes) 1548151323.214 * * [misc]simplify: iters left: 5 (11 enodes) 1548151323.217 * * [misc]simplify: iters left: 4 (14 enodes) 1548151323.221 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151323.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548151323.221 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1548151323.221 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.222 * * [misc]simplify: iters left: 6 (12 enodes) 1548151323.225 * * [misc]simplify: iters left: 5 (15 enodes) 1548151323.229 * * [misc]simplify: iters left: 4 (18 enodes) 1548151323.234 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.235 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1548151323.235 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.235 * * [misc]simplify: iters left: 6 (12 enodes) 1548151323.239 * * [misc]simplify: iters left: 5 (15 enodes) 1548151323.243 * * [misc]simplify: iters left: 4 (18 enodes) 1548151323.248 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.248 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1548151323.249 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151323.249 * * [misc]simplify: iters left: 6 (11 enodes) 1548151323.250 * * [misc]simplify: iters left: 5 (14 enodes) 1548151323.252 * * [misc]simplify: iters left: 4 (17 enodes) 1548151323.254 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151323.254 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151323.254 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1548151323.254 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151323.254 * * [misc]simplify: iters left: 6 (10 enodes) 1548151323.256 * * [misc]simplify: iters left: 5 (13 enodes) 1548151323.258 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151323.258 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151323.258 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1548151323.258 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151323.258 * * [misc]simplify: iters left: 6 (10 enodes) 1548151323.259 * * [misc]simplify: iters left: 5 (13 enodes) 1548151323.261 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151323.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151323.261 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1548151323.261 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151323.261 * * [misc]simplify: iters left: 6 (9 enodes) 1548151323.263 * * [misc]simplify: iters left: 5 (11 enodes) 1548151323.264 * * [misc]simplify: iters left: 4 (14 enodes) 1548151323.266 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151323.266 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548151323.266 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1548151323.266 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.266 * * [misc]simplify: iters left: 6 (12 enodes) 1548151323.268 * * [misc]simplify: iters left: 5 (15 enodes) 1548151323.270 * * [misc]simplify: iters left: 4 (18 enodes) 1548151323.272 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.272 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1548151323.273 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.273 * * [misc]simplify: iters left: 6 (12 enodes) 1548151323.274 * * [misc]simplify: iters left: 5 (15 enodes) 1548151323.276 * * [misc]simplify: iters left: 4 (18 enodes) 1548151323.279 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.279 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.279 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1548151323.279 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151323.279 * * [misc]simplify: iters left: 6 (11 enodes) 1548151323.281 * * [misc]simplify: iters left: 5 (14 enodes) 1548151323.283 * * [misc]simplify: iters left: 4 (17 enodes) 1548151323.287 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151323.287 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151323.287 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1548151323.287 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548151323.287 * * [misc]simplify: iters left: 6 (9 enodes) 1548151323.290 * * [misc]simplify: iters left: 5 (12 enodes) 1548151323.293 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548151323.293 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1548151323.293 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1548151323.293 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548151323.294 * * [misc]simplify: iters left: 6 (9 enodes) 1548151323.296 * * [misc]simplify: iters left: 5 (12 enodes) 1548151323.300 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548151323.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1548151323.300 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1548151323.300 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151323.300 * * [misc]simplify: iters left: 6 (8 enodes) 1548151323.302 * * [misc]simplify: iters left: 5 (10 enodes) 1548151323.305 * * [misc]simplify: iters left: 4 (13 enodes) 1548151323.309 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151323.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151323.309 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1548151323.309 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.309 * * [misc]simplify: iters left: 6 (11 enodes) 1548151323.314 * * [misc]simplify: iters left: 5 (14 enodes) 1548151323.317 * * [misc]simplify: iters left: 4 (17 enodes) 1548151323.322 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.322 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.322 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1548151323.322 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.323 * * [misc]simplify: iters left: 6 (11 enodes) 1548151323.326 * * [misc]simplify: iters left: 5 (14 enodes) 1548151323.330 * * [misc]simplify: iters left: 4 (17 enodes) 1548151323.335 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151323.335 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1548151323.335 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151323.335 * * [misc]simplify: iters left: 6 (10 enodes) 1548151323.338 * * [misc]simplify: iters left: 5 (13 enodes) 1548151323.342 * * [misc]simplify: iters left: 4 (16 enodes) 1548151323.346 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151323.347 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151323.347 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1548151323.347 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151323.347 * * [misc]simplify: iters left: 6 (10 enodes) 1548151323.350 * * [misc]simplify: iters left: 5 (13 enodes) 1548151323.354 * * [misc]simplify: iters left: 4 (16 enodes) 1548151323.358 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151323.358 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151323.358 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1548151323.358 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1548151323.359 * * [misc]simplify: iters left: 6 (10 enodes) 1548151323.362 * * [misc]simplify: iters left: 5 (15 enodes) 1548151323.366 * * [misc]simplify: iters left: 4 (18 enodes) 1548151323.370 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1548151323.370 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151323.371 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1548151323.371 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548151323.371 * * [misc]simplify: iters left: 3 (6 enodes) 1548151323.373 * * [misc]simplify: iters left: 2 (7 enodes) 1548151323.375 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548151323.375 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1548151323.375 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1548151323.375 * [enter]simplify: Simplifying (pow PI 1/2) 1548151323.375 * * [misc]simplify: iters left: 1 (3 enodes) 1548151323.376 * [exit]simplify: Simplified to (sqrt PI) 1548151323.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1548151323.376 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1548151323.377 * [enter]simplify: Simplifying (pow PI 1/2) 1548151323.377 * * [misc]simplify: iters left: 1 (3 enodes) 1548151323.377 * [exit]simplify: Simplified to (sqrt PI) 1548151323.378 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1548151323.378 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1548151323.378 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151323.378 * * [misc]simplify: iters left: 6 (9 enodes) 1548151323.380 * * [misc]simplify: iters left: 5 (11 enodes) 1548151323.382 * * [misc]simplify: iters left: 4 (14 enodes) 1548151323.384 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151323.384 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1548151323.385 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1548151323.385 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151323.385 * * [misc]simplify: iters left: 6 (8 enodes) 1548151323.386 * * [misc]simplify: iters left: 5 (10 enodes) 1548151323.387 * * [misc]simplify: iters left: 4 (13 enodes) 1548151323.389 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151323.389 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1548151323.389 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1548151323.389 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1548151323.389 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1548151323.389 * * [misc]simplify: iters left: 5 (8 enodes) 1548151323.390 * * [misc]simplify: iters left: 4 (11 enodes) 1548151323.392 * * [misc]simplify: iters left: 3 (14 enodes) 1548151323.394 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1548151323.394 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.394 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1548151323.394 * [enter]simplify: Simplifying (pow PI 1/2) 1548151323.394 * * [misc]simplify: iters left: 1 (3 enodes) 1548151323.395 * [exit]simplify: Simplified to (sqrt PI) 1548151323.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1548151323.395 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1548151323.395 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1548151323.395 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1548151323.395 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1548151323.395 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548151323.395 * * [misc]simplify: iters left: 6 (12 enodes) 1548151323.397 * * [misc]simplify: iters left: 5 (21 enodes) 1548151323.402 * * [misc]simplify: iters left: 4 (44 enodes) 1548151323.411 * * [misc]simplify: iters left: 3 (133 enodes) 1548151323.454 * * [misc]simplify: iters left: 2 (379 enodes) 1548151323.578 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1548151323.578 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1548151323.578 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1548151323.578 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548151323.578 * * [misc]simplify: iters left: 6 (12 enodes) 1548151323.581 * * [misc]simplify: iters left: 5 (21 enodes) 1548151323.584 * * [misc]simplify: iters left: 4 (44 enodes) 1548151323.598 * * [misc]simplify: iters left: 3 (133 enodes) 1548151323.663 * * [misc]simplify: iters left: 2 (379 enodes) 1548151323.834 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1548151323.834 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1548151323.834 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1548151323.834 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.834 * * [misc]simplify: iters left: 6 (12 enodes) 1548151323.838 * * [misc]simplify: iters left: 5 (19 enodes) 1548151323.844 * * [misc]simplify: iters left: 4 (32 enodes) 1548151323.854 * * [misc]simplify: iters left: 3 (69 enodes) 1548151323.882 * * [misc]simplify: iters left: 2 (208 enodes) 1548151323.982 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1548151323.982 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1548151323.982 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1548151323.982 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1548151323.982 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1548151323.982 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151323.983 * * [misc]simplify: iters left: 6 (14 enodes) 1548151323.987 * * [misc]simplify: iters left: 5 (26 enodes) 1548151323.997 * * [misc]simplify: iters left: 4 (58 enodes) 1548151324.017 * * [misc]simplify: iters left: 3 (117 enodes) 1548151324.043 * * [misc]simplify: iters left: 2 (193 enodes) 1548151324.104 * * [misc]simplify: iters left: 1 (263 enodes) 1548151324.166 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.166 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.166 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1548151324.166 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1548151324.166 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1548151324.166 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1548151324.166 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1548151324.166 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1548151324.166 * * [misc]simplify: iters left: 6 (10 enodes) 1548151324.168 * * [misc]simplify: iters left: 5 (14 enodes) 1548151324.170 * * [misc]simplify: iters left: 4 (16 enodes) 1548151324.172 * * [misc]simplify: iters left: 3 (17 enodes) 1548151324.174 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1548151324.174 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151324.174 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151324.174 * * [misc]simplify: iters left: 6 (10 enodes) 1548151324.176 * * [misc]simplify: iters left: 5 (13 enodes) 1548151324.178 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151324.178 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548151324.178 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1548151324.178 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1548151324.178 * * [misc]simplify: iters left: 6 (10 enodes) 1548151324.180 * * [misc]simplify: iters left: 5 (14 enodes) 1548151324.181 * * [misc]simplify: iters left: 4 (16 enodes) 1548151324.184 * * [misc]simplify: iters left: 3 (17 enodes) 1548151324.187 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1548151324.187 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151324.188 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151324.188 * * [misc]simplify: iters left: 6 (10 enodes) 1548151324.191 * * [misc]simplify: iters left: 5 (13 enodes) 1548151324.194 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151324.194 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548151324.194 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1548151324.195 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548151324.195 * * [misc]simplify: iters left: 6 (11 enodes) 1548151324.198 * * [misc]simplify: iters left: 5 (15 enodes) 1548151324.202 * * [misc]simplify: iters left: 4 (20 enodes) 1548151324.207 * * [misc]simplify: iters left: 3 (21 enodes) 1548151324.213 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548151324.213 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151324.213 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151324.213 * * [misc]simplify: iters left: 6 (9 enodes) 1548151324.214 * * [misc]simplify: iters left: 5 (11 enodes) 1548151324.217 * * [misc]simplify: iters left: 4 (14 enodes) 1548151324.219 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151324.219 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151324.219 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1548151324.219 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151324.219 * * [misc]simplify: iters left: 6 (14 enodes) 1548151324.221 * * [misc]simplify: iters left: 5 (23 enodes) 1548151324.225 * * [misc]simplify: iters left: 4 (35 enodes) 1548151324.229 * * [misc]simplify: iters left: 3 (38 enodes) 1548151324.234 * * [misc]simplify: iters left: 2 (41 enodes) 1548151324.240 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151324.240 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.240 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.240 * * [misc]simplify: iters left: 6 (12 enodes) 1548151324.242 * * [misc]simplify: iters left: 5 (15 enodes) 1548151324.244 * * [misc]simplify: iters left: 4 (18 enodes) 1548151324.248 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.248 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.248 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1548151324.248 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.248 * * [misc]simplify: iters left: 6 (13 enodes) 1548151324.252 * * [misc]simplify: iters left: 5 (18 enodes) 1548151324.257 * * [misc]simplify: iters left: 4 (23 enodes) 1548151324.263 * * [misc]simplify: iters left: 3 (24 enodes) 1548151324.270 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.270 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.271 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.271 * * [misc]simplify: iters left: 6 (12 enodes) 1548151324.274 * * [misc]simplify: iters left: 5 (15 enodes) 1548151324.279 * * [misc]simplify: iters left: 4 (18 enodes) 1548151324.283 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.283 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.284 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1548151324.284 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1548151324.284 * * [misc]simplify: iters left: 6 (6 enodes) 1548151324.286 * * [misc]simplify: iters left: 5 (10 enodes) 1548151324.289 * * [misc]simplify: iters left: 4 (16 enodes) 1548151324.291 * * [misc]simplify: iters left: 3 (18 enodes) 1548151324.292 * * [misc]simplify: iters left: 2 (23 enodes) 1548151324.295 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548151324.295 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151324.295 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.295 * * [misc]simplify: iters left: 6 (11 enodes) 1548151324.297 * * [misc]simplify: iters left: 5 (14 enodes) 1548151324.299 * * [misc]simplify: iters left: 4 (17 enodes) 1548151324.301 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.301 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151324.301 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1548151324.301 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1548151324.301 * * [misc]simplify: iters left: 5 (9 enodes) 1548151324.302 * * [misc]simplify: iters left: 4 (11 enodes) 1548151324.304 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1548151324.304 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151324.305 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151324.305 * * [misc]simplify: iters left: 6 (10 enodes) 1548151324.306 * * [misc]simplify: iters left: 5 (13 enodes) 1548151324.308 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151324.308 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548151324.308 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1548151324.308 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1548151324.308 * * [misc]simplify: iters left: 5 (9 enodes) 1548151324.309 * * [misc]simplify: iters left: 4 (11 enodes) 1548151324.312 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1548151324.312 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151324.312 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151324.312 * * [misc]simplify: iters left: 6 (10 enodes) 1548151324.313 * * [misc]simplify: iters left: 5 (13 enodes) 1548151324.315 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151324.315 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548151324.315 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1548151324.315 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1548151324.316 * * [misc]simplify: iters left: 6 (10 enodes) 1548151324.317 * * [misc]simplify: iters left: 5 (12 enodes) 1548151324.319 * * [misc]simplify: iters left: 4 (15 enodes) 1548151324.321 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1548151324.321 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151324.321 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151324.321 * * [misc]simplify: iters left: 6 (9 enodes) 1548151324.324 * * [misc]simplify: iters left: 5 (11 enodes) 1548151324.327 * * [misc]simplify: iters left: 4 (14 enodes) 1548151324.331 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151324.331 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151324.331 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1548151324.332 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151324.332 * * [misc]simplify: iters left: 6 (13 enodes) 1548151324.336 * * [misc]simplify: iters left: 5 (18 enodes) 1548151324.341 * * [misc]simplify: iters left: 4 (21 enodes) 1548151324.346 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151324.347 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.347 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.347 * * [misc]simplify: iters left: 6 (12 enodes) 1548151324.350 * * [misc]simplify: iters left: 5 (15 enodes) 1548151324.354 * * [misc]simplify: iters left: 4 (18 enodes) 1548151324.359 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.359 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.359 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1548151324.360 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.360 * * [misc]simplify: iters left: 6 (12 enodes) 1548151324.363 * * [misc]simplify: iters left: 5 (15 enodes) 1548151324.367 * * [misc]simplify: iters left: 4 (18 enodes) 1548151324.372 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.372 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.372 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.373 * * [misc]simplify: iters left: 6 (12 enodes) 1548151324.376 * * [misc]simplify: iters left: 5 (15 enodes) 1548151324.380 * * [misc]simplify: iters left: 4 (18 enodes) 1548151324.384 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.385 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.385 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1548151324.385 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1548151324.385 * * [misc]simplify: iters left: 4 (5 enodes) 1548151324.387 * * [misc]simplify: iters left: 3 (7 enodes) 1548151324.390 * * [misc]simplify: iters left: 2 (9 enodes) 1548151324.392 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548151324.392 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151324.393 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.393 * * [misc]simplify: iters left: 6 (11 enodes) 1548151324.396 * * [misc]simplify: iters left: 5 (14 enodes) 1548151324.400 * * [misc]simplify: iters left: 4 (17 enodes) 1548151324.404 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.404 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151324.404 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1548151324.405 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1548151324.405 * * [misc]simplify: iters left: 5 (7 enodes) 1548151324.407 * * [misc]simplify: iters left: 4 (11 enodes) 1548151324.410 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1548151324.410 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151324.410 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548151324.410 * * [misc]simplify: iters left: 6 (9 enodes) 1548151324.413 * * [misc]simplify: iters left: 5 (12 enodes) 1548151324.416 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548151324.416 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548151324.416 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1548151324.416 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1548151324.416 * * [misc]simplify: iters left: 5 (7 enodes) 1548151324.419 * * [misc]simplify: iters left: 4 (11 enodes) 1548151324.422 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1548151324.422 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151324.422 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548151324.422 * * [misc]simplify: iters left: 6 (9 enodes) 1548151324.425 * * [misc]simplify: iters left: 5 (12 enodes) 1548151324.428 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548151324.428 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548151324.428 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1548151324.429 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1548151324.429 * * [misc]simplify: iters left: 6 (9 enodes) 1548151324.431 * * [misc]simplify: iters left: 5 (13 enodes) 1548151324.435 * * [misc]simplify: iters left: 4 (16 enodes) 1548151324.439 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1548151324.439 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151324.439 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151324.439 * * [misc]simplify: iters left: 6 (8 enodes) 1548151324.442 * * [misc]simplify: iters left: 5 (10 enodes) 1548151324.444 * * [misc]simplify: iters left: 4 (13 enodes) 1548151324.448 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151324.448 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151324.448 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1548151324.449 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151324.449 * * [misc]simplify: iters left: 6 (12 enodes) 1548151324.454 * * [misc]simplify: iters left: 5 (19 enodes) 1548151324.459 * * [misc]simplify: iters left: 4 (22 enodes) 1548151324.465 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151324.465 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.466 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.466 * * [misc]simplify: iters left: 6 (11 enodes) 1548151324.469 * * [misc]simplify: iters left: 5 (14 enodes) 1548151324.473 * * [misc]simplify: iters left: 4 (17 enodes) 1548151324.478 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.478 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.478 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1548151324.478 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.478 * * [misc]simplify: iters left: 6 (11 enodes) 1548151324.481 * * [misc]simplify: iters left: 5 (16 enodes) 1548151324.485 * * [misc]simplify: iters left: 4 (19 enodes) 1548151324.491 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151324.491 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.491 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.491 * * [misc]simplify: iters left: 6 (11 enodes) 1548151324.494 * * [misc]simplify: iters left: 5 (14 enodes) 1548151324.498 * * [misc]simplify: iters left: 4 (17 enodes) 1548151324.503 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151324.503 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151324.503 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1548151324.503 * [enter]simplify: Simplifying (/ 1 1) 1548151324.503 * * [misc]simplify: iters left: 2 (2 enodes) 1548151324.504 * * [misc]simplify: iters left: 1 (4 enodes) 1548151324.505 * [exit]simplify: Simplified to 1 1548151324.505 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151324.505 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.505 * * [misc]simplify: iters left: 6 (10 enodes) 1548151324.508 * * [misc]simplify: iters left: 5 (13 enodes) 1548151324.512 * * [misc]simplify: iters left: 4 (16 enodes) 1548151324.516 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.516 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151324.516 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1548151324.516 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1548151324.516 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1548151324.516 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1548151324.516 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548151324.517 * * [misc]simplify: iters left: 5 (7 enodes) 1548151324.519 * * [misc]simplify: iters left: 4 (10 enodes) 1548151324.521 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548151324.521 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1548151324.521 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1548151324.522 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548151324.522 * * [misc]simplify: iters left: 5 (7 enodes) 1548151324.524 * * [misc]simplify: iters left: 4 (10 enodes) 1548151324.527 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548151324.527 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1548151324.527 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1548151324.527 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1548151324.527 * * [misc]simplify: iters left: 5 (6 enodes) 1548151324.529 * * [misc]simplify: iters left: 4 (8 enodes) 1548151324.531 * * [misc]simplify: iters left: 3 (11 enodes) 1548151324.534 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1548151324.534 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1548151324.534 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1548151324.534 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.535 * * [misc]simplify: iters left: 6 (9 enodes) 1548151324.537 * * [misc]simplify: iters left: 5 (12 enodes) 1548151324.541 * * [misc]simplify: iters left: 4 (15 enodes) 1548151324.545 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.546 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151324.546 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1548151324.546 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.546 * * [misc]simplify: iters left: 6 (9 enodes) 1548151324.549 * * [misc]simplify: iters left: 5 (12 enodes) 1548151324.552 * * [misc]simplify: iters left: 4 (15 enodes) 1548151324.557 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548151324.557 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151324.557 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1548151324.557 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1548151324.558 * * [misc]simplify: iters left: 5 (8 enodes) 1548151324.560 * * [misc]simplify: iters left: 4 (11 enodes) 1548151324.563 * * [misc]simplify: iters left: 3 (14 enodes) 1548151324.566 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1548151324.567 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151324.567 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1548151324.567 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548151324.567 * * [misc]simplify: iters left: 4 (4 enodes) 1548151324.568 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548151324.568 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548151324.568 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1548151324.568 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1548151324.569 * * [misc]simplify: iters left: 2 (3 enodes) 1548151324.569 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548151324.569 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548151324.569 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1548151324.570 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1548151324.570 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548151324.570 * * [misc]simplify: iters left: 3 (6 enodes) 1548151324.572 * * [misc]simplify: iters left: 2 (7 enodes) 1548151324.574 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548151324.574 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1548151324.574 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1548151324.574 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1548151324.575 * * [misc]simplify: iters left: 6 (35 enodes) 1548151324.589 * * [misc]simplify: iters left: 5 (102 enodes) 1548151324.610 * * [misc]simplify: iters left: 4 (321 enodes) 1548151324.854 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1548151324.854 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1548151324.854 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1548151324.854 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1548151324.855 * * [misc]simplify: iters left: 6 (13 enodes) 1548151324.860 * * [misc]simplify: iters left: 5 (27 enodes) 1548151324.869 * * [misc]simplify: iters left: 4 (53 enodes) 1548151324.888 * * [misc]simplify: iters left: 3 (124 enodes) 1548151324.945 * * [misc]simplify: iters left: 2 (394 enodes) 1548151325.411 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1548151325.411 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1548151325.411 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1548151325.411 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1548151325.411 * * [misc]simplify: iters left: 6 (13 enodes) 1548151325.416 * * [misc]simplify: iters left: 5 (24 enodes) 1548151325.425 * * [misc]simplify: iters left: 4 (54 enodes) 1548151325.449 * * [misc]simplify: iters left: 3 (151 enodes) 1548151325.508 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1548151325.508 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1548151325.508 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1548151325.508 * [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)))) 1548151325.508 * * [misc]simplify: iters left: 6 (18 enodes) 1548151325.512 * * [misc]simplify: iters left: 5 (39 enodes) 1548151325.519 * * [misc]simplify: iters left: 4 (110 enodes) 1548151325.572 * * [misc]simplify: iters left: 3 (321 enodes) 1548151325.739 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1548151325.739 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151325.739 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1548151325.739 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1548151325.739 * * [misc]simplify: iters left: 5 (6 enodes) 1548151325.741 * * [misc]simplify: iters left: 4 (9 enodes) 1548151325.745 * * [misc]simplify: iters left: 3 (17 enodes) 1548151325.750 * * [misc]simplify: iters left: 2 (24 enodes) 1548151325.755 * * [misc]simplify: iters left: 1 (28 enodes) 1548151325.767 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1548151325.767 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151325.767 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1548151325.767 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1548151325.767 * * [misc]simplify: iters left: 5 (6 enodes) 1548151325.769 * * [misc]simplify: iters left: 4 (9 enodes) 1548151325.773 * * [misc]simplify: iters left: 3 (17 enodes) 1548151325.777 * * [misc]simplify: iters left: 2 (24 enodes) 1548151325.783 * * [misc]simplify: iters left: 1 (28 enodes) 1548151325.793 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1548151325.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151325.794 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1548151325.794 * [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))))))))))))))) 1548151325.794 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548151325.794 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1548151325.797 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1548151325.798 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548151325.798 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1548151325.798 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1548151325.798 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548151325.798 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1548151325.798 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1548151325.798 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1548151325.798 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1548151325.799 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1548151325.799 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1548151325.799 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1548151325.799 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1548151325.799 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1548151325.799 * * * [misc]progress: adding candidates to table 1548151329.006 * * [misc]progress: iteration 3 / 4 1548151329.007 * * * [misc]progress: picking best candidate 1548151329.031 * * * * [misc]pick: Picked # 1548151329.031 * * * [misc]progress: localizing error 1548151329.042 * * * [misc]progress: generating rewritten candidates 1548151329.042 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1548151329.046 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1548151329.065 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1548151329.072 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1548151329.083 * * * [misc]progress: generating series expansions 1548151329.083 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1548151329.083 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1548151329.083 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1548151329.083 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151329.083 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151329.083 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151329.083 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.083 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.083 * [misc]taylor: Taking taylor expansion of k in k 1548151329.083 * [misc]backup-simplify: Simplify 0 into 0 1548151329.083 * [misc]backup-simplify: Simplify 1 into 1 1548151329.083 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151329.083 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151329.083 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.083 * [misc]backup-simplify: Simplify 2 into 2 1548151329.083 * [misc]taylor: Taking taylor expansion of n in k 1548151329.083 * [misc]backup-simplify: Simplify n into n 1548151329.083 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151329.083 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151329.084 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151329.084 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.084 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.084 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151329.084 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151329.084 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548151329.084 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548151329.084 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548151329.084 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151329.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.084 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151329.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.084 * [misc]taylor: Taking taylor expansion of k in n 1548151329.084 * [misc]backup-simplify: Simplify k into k 1548151329.084 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151329.084 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151329.084 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.084 * [misc]backup-simplify: Simplify 2 into 2 1548151329.084 * [misc]taylor: Taking taylor expansion of n in n 1548151329.084 * [misc]backup-simplify: Simplify 0 into 0 1548151329.084 * [misc]backup-simplify: Simplify 1 into 1 1548151329.085 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151329.085 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151329.085 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.085 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151329.085 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151329.085 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151329.085 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.085 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548151329.086 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1548151329.086 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548151329.086 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548151329.086 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548151329.086 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151329.086 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.086 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151329.086 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.086 * [misc]taylor: Taking taylor expansion of k in n 1548151329.086 * [misc]backup-simplify: Simplify k into k 1548151329.086 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151329.086 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151329.086 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.086 * [misc]backup-simplify: Simplify 2 into 2 1548151329.086 * [misc]taylor: Taking taylor expansion of n in n 1548151329.086 * [misc]backup-simplify: Simplify 0 into 0 1548151329.086 * [misc]backup-simplify: Simplify 1 into 1 1548151329.086 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151329.086 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151329.086 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.086 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151329.086 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151329.086 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151329.087 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.087 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548151329.087 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1548151329.087 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1548151329.087 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1548151329.087 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1548151329.087 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151329.087 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.087 * [misc]backup-simplify: Simplify 2 into 2 1548151329.087 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.087 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151329.087 * [misc]taylor: Taking taylor expansion of n in k 1548151329.087 * [misc]backup-simplify: Simplify n into n 1548151329.087 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151329.087 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.087 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.087 * [misc]taylor: Taking taylor expansion of k in k 1548151329.087 * [misc]backup-simplify: Simplify 0 into 0 1548151329.087 * [misc]backup-simplify: Simplify 1 into 1 1548151329.088 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1548151329.088 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151329.088 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.088 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.088 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1548151329.088 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1548151329.088 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1548151329.089 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548151329.090 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151329.090 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548151329.090 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.090 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.090 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.091 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1548151329.091 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151329.091 * [misc]taylor: Taking taylor expansion of 0 in k 1548151329.091 * [misc]backup-simplify: Simplify 0 into 0 1548151329.091 * [misc]backup-simplify: Simplify 0 into 0 1548151329.092 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151329.092 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.092 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.094 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151329.095 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548151329.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.095 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1548151329.096 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1548151329.097 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1548151329.097 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548151329.101 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548151329.102 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548151329.102 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.102 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.102 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.103 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1548151329.105 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151329.105 * [misc]taylor: Taking taylor expansion of 0 in k 1548151329.105 * [misc]backup-simplify: Simplify 0 into 0 1548151329.105 * [misc]backup-simplify: Simplify 0 into 0 1548151329.105 * [misc]backup-simplify: Simplify 0 into 0 1548151329.105 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151329.105 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.105 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.109 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548151329.111 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548151329.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.111 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1548151329.113 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1548151329.114 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1548151329.117 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1548151329.117 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.117 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1548151329.117 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151329.117 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151329.117 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151329.117 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.117 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.117 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.117 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.117 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.118 * [misc]taylor: Taking taylor expansion of k in k 1548151329.118 * [misc]backup-simplify: Simplify 0 into 0 1548151329.118 * [misc]backup-simplify: Simplify 1 into 1 1548151329.118 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.118 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151329.118 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151329.118 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.118 * [misc]backup-simplify: Simplify 2 into 2 1548151329.118 * [misc]taylor: Taking taylor expansion of n in k 1548151329.118 * [misc]backup-simplify: Simplify n into n 1548151329.118 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151329.118 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151329.118 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.118 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.118 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.119 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151329.119 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.119 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.119 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.119 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.119 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.119 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.119 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.119 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.119 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.119 * [misc]taylor: Taking taylor expansion of k in n 1548151329.119 * [misc]backup-simplify: Simplify k into k 1548151329.119 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.119 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.119 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.119 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.119 * [misc]backup-simplify: Simplify 2 into 2 1548151329.119 * [misc]taylor: Taking taylor expansion of n in n 1548151329.119 * [misc]backup-simplify: Simplify 0 into 0 1548151329.119 * [misc]backup-simplify: Simplify 1 into 1 1548151329.120 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.120 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.120 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.120 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.120 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.120 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.121 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.121 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.121 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.121 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.121 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.121 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.121 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.121 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.121 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.121 * [misc]taylor: Taking taylor expansion of k in n 1548151329.121 * [misc]backup-simplify: Simplify k into k 1548151329.121 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.121 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.121 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.121 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.121 * [misc]backup-simplify: Simplify 2 into 2 1548151329.121 * [misc]taylor: Taking taylor expansion of n in n 1548151329.122 * [misc]backup-simplify: Simplify 0 into 0 1548151329.122 * [misc]backup-simplify: Simplify 1 into 1 1548151329.122 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.122 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.122 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.122 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.122 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.123 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.123 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.123 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.123 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1548151329.123 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1548151329.123 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.123 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.124 * [misc]taylor: Taking taylor expansion of k in k 1548151329.124 * [misc]backup-simplify: Simplify 0 into 0 1548151329.124 * [misc]backup-simplify: Simplify 1 into 1 1548151329.124 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.124 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1548151329.124 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151329.124 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.124 * [misc]backup-simplify: Simplify 2 into 2 1548151329.124 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.124 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151329.124 * [misc]taylor: Taking taylor expansion of n in k 1548151329.124 * [misc]backup-simplify: Simplify n into n 1548151329.124 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151329.124 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.125 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.125 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.125 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548151329.125 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1548151329.125 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1548151329.126 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.126 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.126 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548151329.129 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151329.129 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.129 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151329.129 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.130 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.130 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548151329.132 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151329.132 * [misc]taylor: Taking taylor expansion of 0 in k 1548151329.132 * [misc]backup-simplify: Simplify 0 into 0 1548151329.132 * [misc]backup-simplify: Simplify 0 into 0 1548151329.132 * [misc]backup-simplify: Simplify 0 into 0 1548151329.132 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.136 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548151329.137 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151329.137 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151329.137 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.137 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.138 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.138 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1548151329.140 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151329.140 * [misc]taylor: Taking taylor expansion of 0 in k 1548151329.140 * [misc]backup-simplify: Simplify 0 into 0 1548151329.140 * [misc]backup-simplify: Simplify 0 into 0 1548151329.140 * [misc]backup-simplify: Simplify 0 into 0 1548151329.140 * [misc]backup-simplify: Simplify 0 into 0 1548151329.141 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.147 * [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 1548151329.147 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151329.148 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548151329.148 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.148 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.148 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.149 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1548151329.152 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1548151329.152 * [misc]taylor: Taking taylor expansion of 0 in k 1548151329.152 * [misc]backup-simplify: Simplify 0 into 0 1548151329.152 * [misc]backup-simplify: Simplify 0 into 0 1548151329.153 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1548151329.153 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.153 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1548151329.153 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151329.153 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151329.153 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151329.153 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.153 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.153 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.153 * [misc]taylor: Taking taylor expansion of k in k 1548151329.153 * [misc]backup-simplify: Simplify 0 into 0 1548151329.153 * [misc]backup-simplify: Simplify 1 into 1 1548151329.154 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.154 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151329.154 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151329.154 * [misc]taylor: Taking taylor expansion of -2 in k 1548151329.154 * [misc]backup-simplify: Simplify -2 into -2 1548151329.154 * [misc]taylor: Taking taylor expansion of n in k 1548151329.154 * [misc]backup-simplify: Simplify n into n 1548151329.154 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151329.154 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151329.154 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.154 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.154 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151329.154 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.155 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.155 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.155 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.155 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.155 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.155 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.155 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.155 * [misc]taylor: Taking taylor expansion of k in n 1548151329.155 * [misc]backup-simplify: Simplify k into k 1548151329.155 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.155 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.155 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.155 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.155 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.155 * [misc]backup-simplify: Simplify -2 into -2 1548151329.155 * [misc]taylor: Taking taylor expansion of n in n 1548151329.155 * [misc]backup-simplify: Simplify 0 into 0 1548151329.155 * [misc]backup-simplify: Simplify 1 into 1 1548151329.155 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.155 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.155 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.156 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.156 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.156 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.156 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.157 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.157 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.157 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.157 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.157 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.157 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.157 * [misc]taylor: Taking taylor expansion of k in n 1548151329.157 * [misc]backup-simplify: Simplify k into k 1548151329.157 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.157 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.157 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.157 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.157 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.157 * [misc]backup-simplify: Simplify -2 into -2 1548151329.157 * [misc]taylor: Taking taylor expansion of n in n 1548151329.157 * [misc]backup-simplify: Simplify 0 into 0 1548151329.157 * [misc]backup-simplify: Simplify 1 into 1 1548151329.157 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.157 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.157 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.158 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.158 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.158 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.159 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.159 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1548151329.159 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1548151329.159 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.159 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.159 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.159 * [misc]taylor: Taking taylor expansion of k in k 1548151329.159 * [misc]backup-simplify: Simplify 0 into 0 1548151329.159 * [misc]backup-simplify: Simplify 1 into 1 1548151329.159 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.159 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1548151329.159 * [misc]taylor: Taking taylor expansion of (log -2) in k 1548151329.159 * [misc]taylor: Taking taylor expansion of -2 in k 1548151329.159 * [misc]backup-simplify: Simplify -2 into -2 1548151329.159 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.160 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151329.160 * [misc]taylor: Taking taylor expansion of n in k 1548151329.160 * [misc]backup-simplify: Simplify n into n 1548151329.160 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151329.160 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.160 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.160 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548151329.160 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1548151329.161 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1548151329.161 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.161 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.162 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548151329.164 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548151329.165 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.165 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151329.165 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.165 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.166 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548151329.167 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151329.167 * [misc]taylor: Taking taylor expansion of 0 in k 1548151329.167 * [misc]backup-simplify: Simplify 0 into 0 1548151329.167 * [misc]backup-simplify: Simplify 0 into 0 1548151329.167 * [misc]backup-simplify: Simplify 0 into 0 1548151329.167 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.176 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1548151329.176 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151329.177 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151329.177 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.177 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.178 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1548151329.180 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151329.180 * [misc]taylor: Taking taylor expansion of 0 in k 1548151329.180 * [misc]backup-simplify: Simplify 0 into 0 1548151329.180 * [misc]backup-simplify: Simplify 0 into 0 1548151329.180 * [misc]backup-simplify: Simplify 0 into 0 1548151329.180 * [misc]backup-simplify: Simplify 0 into 0 1548151329.181 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.187 * [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 1548151329.188 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151329.188 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548151329.188 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.189 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.189 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1548151329.193 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1548151329.193 * [misc]taylor: Taking taylor expansion of 0 in k 1548151329.193 * [misc]backup-simplify: Simplify 0 into 0 1548151329.193 * [misc]backup-simplify: Simplify 0 into 0 1548151329.193 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1548151329.193 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1548151329.194 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1548151329.194 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1548151329.194 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1548151329.194 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1548151329.194 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548151329.194 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548151329.194 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548151329.194 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151329.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.194 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151329.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.194 * [misc]taylor: Taking taylor expansion of k in n 1548151329.194 * [misc]backup-simplify: Simplify k into k 1548151329.194 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151329.194 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151329.194 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.194 * [misc]backup-simplify: Simplify 2 into 2 1548151329.194 * [misc]taylor: Taking taylor expansion of n in n 1548151329.194 * [misc]backup-simplify: Simplify 0 into 0 1548151329.195 * [misc]backup-simplify: Simplify 1 into 1 1548151329.195 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151329.195 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151329.195 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.195 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151329.195 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151329.195 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151329.196 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.196 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548151329.196 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1548151329.196 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1548151329.196 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1548151329.196 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1548151329.196 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151329.196 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.196 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151329.196 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.196 * [misc]taylor: Taking taylor expansion of k in n 1548151329.196 * [misc]backup-simplify: Simplify k into k 1548151329.197 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.197 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.197 * [misc]backup-simplify: Simplify PI into PI 1548151329.197 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.197 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151329.197 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151329.197 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151329.197 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1548151329.198 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1548151329.198 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548151329.198 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.198 * [misc]taylor: Taking taylor expansion of k in n 1548151329.198 * [misc]backup-simplify: Simplify k into k 1548151329.198 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.198 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548151329.198 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.198 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548151329.198 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1548151329.198 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548151329.198 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151329.198 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151329.198 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151329.198 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.198 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.198 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.198 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.198 * [misc]taylor: Taking taylor expansion of k in k 1548151329.199 * [misc]backup-simplify: Simplify 0 into 0 1548151329.199 * [misc]backup-simplify: Simplify 1 into 1 1548151329.199 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151329.199 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151329.199 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.199 * [misc]backup-simplify: Simplify 2 into 2 1548151329.199 * [misc]taylor: Taking taylor expansion of n in k 1548151329.199 * [misc]backup-simplify: Simplify n into n 1548151329.199 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151329.199 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151329.199 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151329.199 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.199 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.199 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151329.199 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151329.199 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151329.200 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151329.200 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151329.200 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.200 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.200 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.200 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.200 * [misc]taylor: Taking taylor expansion of k in k 1548151329.200 * [misc]backup-simplify: Simplify 0 into 0 1548151329.200 * [misc]backup-simplify: Simplify 1 into 1 1548151329.200 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.200 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.200 * [misc]backup-simplify: Simplify PI into PI 1548151329.200 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.200 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151329.200 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.201 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.201 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.202 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151329.202 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151329.202 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.202 * [misc]taylor: Taking taylor expansion of k in k 1548151329.202 * [misc]backup-simplify: Simplify 0 into 0 1548151329.202 * [misc]backup-simplify: Simplify 1 into 1 1548151329.202 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.202 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.203 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.203 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1548151329.203 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548151329.203 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151329.203 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151329.203 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151329.203 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.203 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.203 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.203 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.203 * [misc]taylor: Taking taylor expansion of k in k 1548151329.203 * [misc]backup-simplify: Simplify 0 into 0 1548151329.203 * [misc]backup-simplify: Simplify 1 into 1 1548151329.203 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151329.203 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151329.203 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.203 * [misc]backup-simplify: Simplify 2 into 2 1548151329.203 * [misc]taylor: Taking taylor expansion of n in k 1548151329.203 * [misc]backup-simplify: Simplify n into n 1548151329.203 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151329.203 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151329.204 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151329.204 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.204 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.204 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151329.204 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151329.204 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151329.204 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151329.204 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151329.204 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.204 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.204 * [misc]taylor: Taking taylor expansion of k in k 1548151329.204 * [misc]backup-simplify: Simplify 0 into 0 1548151329.204 * [misc]backup-simplify: Simplify 1 into 1 1548151329.204 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.204 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.205 * [misc]backup-simplify: Simplify PI into PI 1548151329.205 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.205 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151329.205 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.205 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.206 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.206 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151329.206 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151329.206 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.206 * [misc]taylor: Taking taylor expansion of k in k 1548151329.206 * [misc]backup-simplify: Simplify 0 into 0 1548151329.206 * [misc]backup-simplify: Simplify 1 into 1 1548151329.207 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.207 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.207 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.208 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1548151329.208 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1548151329.208 * [misc]taylor: Taking taylor expansion of 0 in n 1548151329.208 * [misc]backup-simplify: Simplify 0 into 0 1548151329.208 * [misc]backup-simplify: Simplify 0 into 0 1548151329.209 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151329.210 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151329.210 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.210 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.211 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548151329.212 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548151329.213 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1548151329.213 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1548151329.213 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151329.213 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.213 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.213 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1548151329.214 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1548151329.215 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1548151329.215 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1548151329.215 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1548151329.215 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548151329.215 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.215 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.215 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548151329.216 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.216 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.216 * [misc]backup-simplify: Simplify 2 into 2 1548151329.216 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.216 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.216 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151329.216 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151329.216 * [misc]taylor: Taking taylor expansion of n in n 1548151329.216 * [misc]backup-simplify: Simplify 0 into 0 1548151329.216 * [misc]backup-simplify: Simplify 1 into 1 1548151329.216 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.216 * [misc]backup-simplify: Simplify PI into PI 1548151329.216 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151329.216 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151329.217 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.217 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.217 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548151329.217 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.217 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.217 * [misc]backup-simplify: Simplify 0 into 0 1548151329.217 * [misc]backup-simplify: Simplify 0 into 0 1548151329.217 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151329.218 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151329.220 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151329.221 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151329.221 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.221 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.221 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548151329.224 * [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))) 1548151329.224 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1548151329.225 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1548151329.225 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151329.225 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.226 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1548151329.226 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1548151329.228 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1548151329.230 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1548151329.231 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1548151329.231 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1548151329.231 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1548151329.231 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.231 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.231 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1548151329.231 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1548151329.231 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.231 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.231 * [misc]backup-simplify: Simplify 2 into 2 1548151329.231 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.231 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.231 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.231 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.231 * [misc]backup-simplify: Simplify PI into PI 1548151329.231 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.231 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151329.231 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151329.231 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.231 * [misc]backup-simplify: Simplify PI into PI 1548151329.231 * [misc]taylor: Taking taylor expansion of n in n 1548151329.231 * [misc]backup-simplify: Simplify 0 into 0 1548151329.231 * [misc]backup-simplify: Simplify 1 into 1 1548151329.232 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151329.232 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151329.232 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.233 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.233 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1548151329.233 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1548151329.233 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548151329.233 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.233 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.233 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548151329.233 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.233 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.233 * [misc]backup-simplify: Simplify 2 into 2 1548151329.233 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.233 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.233 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151329.233 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151329.233 * [misc]taylor: Taking taylor expansion of n in n 1548151329.233 * [misc]backup-simplify: Simplify 0 into 0 1548151329.233 * [misc]backup-simplify: Simplify 1 into 1 1548151329.233 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.233 * [misc]backup-simplify: Simplify PI into PI 1548151329.233 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151329.234 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151329.234 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.234 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.234 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1548151329.234 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1548151329.234 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.234 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.234 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1548151329.234 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1548151329.234 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.234 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.234 * [misc]backup-simplify: Simplify 2 into 2 1548151329.234 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.234 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.234 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151329.234 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151329.234 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.234 * [misc]backup-simplify: Simplify 2 into 2 1548151329.234 * [misc]taylor: Taking taylor expansion of n in n 1548151329.234 * [misc]backup-simplify: Simplify 0 into 0 1548151329.234 * [misc]backup-simplify: Simplify 1 into 1 1548151329.235 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151329.235 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151329.235 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.235 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151329.235 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151329.235 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.235 * [misc]backup-simplify: Simplify PI into PI 1548151329.235 * [misc]taylor: Taking taylor expansion of n in n 1548151329.235 * [misc]backup-simplify: Simplify 0 into 0 1548151329.235 * [misc]backup-simplify: Simplify 1 into 1 1548151329.235 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151329.235 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151329.236 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.236 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.236 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1548151329.237 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1548151329.237 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.237 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548151329.237 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.237 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.238 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1548151329.238 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1548151329.238 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.238 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.238 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.238 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.238 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.239 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.239 * [misc]backup-simplify: Simplify 0 into 0 1548151329.239 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151329.241 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151329.242 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151329.242 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151329.242 * [misc]backup-simplify: Simplify 0 into 0 1548151329.243 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.243 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151329.247 * [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 1548151329.248 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548151329.248 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.248 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548151329.253 * [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))) 1548151329.253 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1548151329.255 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1548151329.255 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548151329.255 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1548151329.256 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1548151329.260 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1548151329.265 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1548151329.265 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1548151329.265 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1548151329.265 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1548151329.265 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.265 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.265 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1548151329.265 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1548151329.265 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.265 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.265 * [misc]backup-simplify: Simplify 2 into 2 1548151329.266 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.266 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.266 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.266 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.266 * [misc]backup-simplify: Simplify PI into PI 1548151329.266 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.266 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151329.266 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151329.266 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.266 * [misc]backup-simplify: Simplify PI into PI 1548151329.266 * [misc]taylor: Taking taylor expansion of n in n 1548151329.266 * [misc]backup-simplify: Simplify 0 into 0 1548151329.266 * [misc]backup-simplify: Simplify 1 into 1 1548151329.266 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151329.267 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151329.267 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.267 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.267 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1548151329.267 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1548151329.267 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1548151329.267 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.267 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.267 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1548151329.267 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1548151329.267 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.267 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.267 * [misc]backup-simplify: Simplify 2 into 2 1548151329.267 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.267 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.268 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1548151329.268 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.268 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.268 * [misc]backup-simplify: Simplify PI into PI 1548151329.268 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.268 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151329.268 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151329.268 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.268 * [misc]backup-simplify: Simplify PI into PI 1548151329.268 * [misc]taylor: Taking taylor expansion of n in n 1548151329.268 * [misc]backup-simplify: Simplify 0 into 0 1548151329.268 * [misc]backup-simplify: Simplify 1 into 1 1548151329.268 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151329.268 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151329.268 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.269 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.269 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1548151329.269 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1548151329.269 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1548151329.269 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.269 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.269 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1548151329.269 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1548151329.269 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.269 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.269 * [misc]backup-simplify: Simplify 2 into 2 1548151329.269 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.269 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.269 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1548151329.269 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151329.269 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151329.269 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.269 * [misc]backup-simplify: Simplify 2 into 2 1548151329.269 * [misc]taylor: Taking taylor expansion of n in n 1548151329.269 * [misc]backup-simplify: Simplify 0 into 0 1548151329.269 * [misc]backup-simplify: Simplify 1 into 1 1548151329.269 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151329.270 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151329.270 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.270 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.270 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151329.270 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151329.270 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.270 * [misc]backup-simplify: Simplify PI into PI 1548151329.270 * [misc]taylor: Taking taylor expansion of n in n 1548151329.270 * [misc]backup-simplify: Simplify 0 into 0 1548151329.270 * [misc]backup-simplify: Simplify 1 into 1 1548151329.270 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151329.271 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151329.271 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.271 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.271 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1548151329.271 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1548151329.271 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1548151329.271 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.271 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.271 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1548151329.271 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1548151329.271 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.271 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.271 * [misc]backup-simplify: Simplify 2 into 2 1548151329.271 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.271 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.271 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1548151329.271 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151329.271 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151329.271 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.271 * [misc]backup-simplify: Simplify 2 into 2 1548151329.271 * [misc]taylor: Taking taylor expansion of n in n 1548151329.271 * [misc]backup-simplify: Simplify 0 into 0 1548151329.271 * [misc]backup-simplify: Simplify 1 into 1 1548151329.272 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151329.272 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151329.272 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.272 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.272 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.272 * [misc]backup-simplify: Simplify PI into PI 1548151329.272 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.272 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151329.272 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151329.272 * [misc]taylor: Taking taylor expansion of n in n 1548151329.272 * [misc]backup-simplify: Simplify 0 into 0 1548151329.272 * [misc]backup-simplify: Simplify 1 into 1 1548151329.272 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.272 * [misc]backup-simplify: Simplify PI into PI 1548151329.272 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151329.273 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151329.273 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.274 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.274 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1548151329.274 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1548151329.274 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548151329.274 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.274 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.274 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548151329.274 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.274 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.274 * [misc]backup-simplify: Simplify 2 into 2 1548151329.274 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.274 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.274 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151329.274 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151329.274 * [misc]taylor: Taking taylor expansion of n in n 1548151329.274 * [misc]backup-simplify: Simplify 0 into 0 1548151329.274 * [misc]backup-simplify: Simplify 1 into 1 1548151329.274 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.274 * [misc]backup-simplify: Simplify PI into PI 1548151329.275 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151329.275 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151329.275 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.276 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.276 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1548151329.276 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1548151329.276 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.276 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.276 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1548151329.276 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1548151329.276 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.276 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.276 * [misc]backup-simplify: Simplify 2 into 2 1548151329.276 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.277 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.277 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151329.277 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151329.277 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.277 * [misc]backup-simplify: Simplify 2 into 2 1548151329.277 * [misc]taylor: Taking taylor expansion of n in n 1548151329.277 * [misc]backup-simplify: Simplify 0 into 0 1548151329.277 * [misc]backup-simplify: Simplify 1 into 1 1548151329.277 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151329.277 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151329.277 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.277 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548151329.277 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548151329.277 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.277 * [misc]backup-simplify: Simplify PI into PI 1548151329.277 * [misc]taylor: Taking taylor expansion of n in n 1548151329.277 * [misc]backup-simplify: Simplify 0 into 0 1548151329.277 * [misc]backup-simplify: Simplify 1 into 1 1548151329.278 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548151329.278 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548151329.278 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.279 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151329.280 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1548151329.280 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1548151329.281 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.281 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1548151329.282 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1548151329.283 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1548151329.284 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.284 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.284 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.285 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1548151329.285 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1548151329.285 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1548151329.286 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.286 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.286 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1548151329.287 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1548151329.288 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1548151329.288 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.288 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548151329.288 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.289 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.289 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1548151329.291 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1548151329.291 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548151329.291 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.291 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.292 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.292 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.292 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.292 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.292 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.292 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.293 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.293 * [misc]backup-simplify: Simplify 0 into 0 1548151329.295 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151329.296 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1548151329.298 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1548151329.300 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1548151329.301 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151329.302 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548151329.303 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548151329.304 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151329.304 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.304 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1548151329.305 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1548151329.306 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1548151329.307 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1548151329.309 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1548151329.311 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1548151329.314 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1548151329.318 * [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))))))))) 1548151329.321 * [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))))))))) 1548151329.322 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548151329.323 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1548151329.324 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1548151329.325 * [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)))) 1548151329.327 * [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)))) 1548151329.328 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1548151329.329 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1548151329.335 * [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))))))))))))))) 1548151329.335 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1548151329.335 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1548151329.335 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1548151329.335 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151329.335 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.335 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151329.335 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151329.335 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.335 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.335 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.335 * [misc]taylor: Taking taylor expansion of k in n 1548151329.335 * [misc]backup-simplify: Simplify k into k 1548151329.335 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.335 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.335 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.335 * [misc]backup-simplify: Simplify PI into PI 1548151329.336 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.336 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.336 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.336 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.336 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151329.336 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.336 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.336 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.337 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.337 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.337 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.337 * [misc]taylor: Taking taylor expansion of k in n 1548151329.337 * [misc]backup-simplify: Simplify k into k 1548151329.337 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.337 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.337 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.337 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.337 * [misc]backup-simplify: Simplify 2 into 2 1548151329.337 * [misc]taylor: Taking taylor expansion of n in n 1548151329.337 * [misc]backup-simplify: Simplify 0 into 0 1548151329.337 * [misc]backup-simplify: Simplify 1 into 1 1548151329.337 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.337 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.337 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.337 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.337 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.337 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.338 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.338 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.338 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548151329.338 * [misc]taylor: Taking taylor expansion of k in n 1548151329.338 * [misc]backup-simplify: Simplify k into k 1548151329.338 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548151329.338 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548151329.338 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1548151329.338 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151329.338 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151329.338 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151329.338 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151329.338 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.338 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.338 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.338 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.338 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.338 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.338 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.338 * [misc]taylor: Taking taylor expansion of k in k 1548151329.338 * [misc]backup-simplify: Simplify 0 into 0 1548151329.338 * [misc]backup-simplify: Simplify 1 into 1 1548151329.338 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.338 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.338 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.338 * [misc]backup-simplify: Simplify PI into PI 1548151329.339 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.339 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.339 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.339 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.339 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151329.339 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.339 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151329.339 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151329.339 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151329.339 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.339 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.339 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.339 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.340 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.340 * [misc]taylor: Taking taylor expansion of k in k 1548151329.340 * [misc]backup-simplify: Simplify 0 into 0 1548151329.340 * [misc]backup-simplify: Simplify 1 into 1 1548151329.340 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.340 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151329.340 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151329.340 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.340 * [misc]backup-simplify: Simplify 2 into 2 1548151329.340 * [misc]taylor: Taking taylor expansion of n in k 1548151329.340 * [misc]backup-simplify: Simplify n into n 1548151329.340 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151329.340 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151329.340 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.340 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.340 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.340 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151329.340 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.340 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151329.340 * [misc]taylor: Taking taylor expansion of k in k 1548151329.340 * [misc]backup-simplify: Simplify 0 into 0 1548151329.340 * [misc]backup-simplify: Simplify 1 into 1 1548151329.341 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.341 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.341 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1548151329.341 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151329.341 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151329.341 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151329.341 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151329.341 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.341 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.341 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.341 * [misc]taylor: Taking taylor expansion of k in k 1548151329.341 * [misc]backup-simplify: Simplify 0 into 0 1548151329.341 * [misc]backup-simplify: Simplify 1 into 1 1548151329.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.341 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.341 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.341 * [misc]backup-simplify: Simplify PI into PI 1548151329.341 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.341 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.342 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.342 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.342 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151329.342 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.342 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151329.342 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151329.342 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151329.342 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.342 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.342 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.342 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.342 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.342 * [misc]taylor: Taking taylor expansion of k in k 1548151329.342 * [misc]backup-simplify: Simplify 0 into 0 1548151329.342 * [misc]backup-simplify: Simplify 1 into 1 1548151329.343 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.343 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151329.343 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151329.343 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.343 * [misc]backup-simplify: Simplify 2 into 2 1548151329.343 * [misc]taylor: Taking taylor expansion of n in k 1548151329.343 * [misc]backup-simplify: Simplify n into n 1548151329.343 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151329.343 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151329.343 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.343 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.343 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.343 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151329.343 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.343 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151329.343 * [misc]taylor: Taking taylor expansion of k in k 1548151329.343 * [misc]backup-simplify: Simplify 0 into 0 1548151329.343 * [misc]backup-simplify: Simplify 1 into 1 1548151329.343 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.344 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.344 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548151329.344 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1548151329.344 * [misc]taylor: Taking taylor expansion of 0 in n 1548151329.344 * [misc]backup-simplify: Simplify 0 into 0 1548151329.344 * [misc]backup-simplify: Simplify 0 into 0 1548151329.344 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1548151329.345 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151329.345 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151329.345 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151329.345 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.345 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.345 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151329.345 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.345 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151329.345 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151329.345 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.345 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.345 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.345 * [misc]taylor: Taking taylor expansion of k in n 1548151329.345 * [misc]backup-simplify: Simplify k into k 1548151329.345 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.346 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.346 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.346 * [misc]backup-simplify: Simplify PI into PI 1548151329.346 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.346 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.346 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.346 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.346 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151329.347 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.347 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.347 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.347 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.347 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.347 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.347 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.347 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.347 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.347 * [misc]taylor: Taking taylor expansion of k in n 1548151329.347 * [misc]backup-simplify: Simplify k into k 1548151329.347 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.347 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.347 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.347 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.347 * [misc]backup-simplify: Simplify 2 into 2 1548151329.347 * [misc]taylor: Taking taylor expansion of n in n 1548151329.347 * [misc]backup-simplify: Simplify 0 into 0 1548151329.347 * [misc]backup-simplify: Simplify 1 into 1 1548151329.347 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.348 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.348 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.348 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.348 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.348 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.349 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.349 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.349 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.350 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1548151329.350 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.351 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.351 * [misc]backup-simplify: Simplify 0 into 0 1548151329.352 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151329.353 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1548151329.353 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151329.353 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151329.353 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151329.353 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.353 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.353 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151329.353 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.354 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151329.354 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151329.354 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.354 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.354 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.354 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.354 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.354 * [misc]taylor: Taking taylor expansion of k in n 1548151329.354 * [misc]backup-simplify: Simplify k into k 1548151329.354 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.354 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.354 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.354 * [misc]backup-simplify: Simplify PI into PI 1548151329.354 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.354 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.354 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.354 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.355 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151329.355 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.355 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.355 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.355 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.355 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.355 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.356 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.356 * [misc]taylor: Taking taylor expansion of k in n 1548151329.356 * [misc]backup-simplify: Simplify k into k 1548151329.356 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.356 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.356 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.356 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.356 * [misc]backup-simplify: Simplify 2 into 2 1548151329.356 * [misc]taylor: Taking taylor expansion of n in n 1548151329.356 * [misc]backup-simplify: Simplify 0 into 0 1548151329.356 * [misc]backup-simplify: Simplify 1 into 1 1548151329.356 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.356 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.356 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.356 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.356 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.357 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.357 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.357 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.358 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.358 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1548151329.359 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.359 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.360 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548151329.362 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151329.362 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.362 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151329.362 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.363 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.363 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548151329.364 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151329.367 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151329.367 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.367 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151329.367 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.367 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.368 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1548151329.369 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151329.370 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1548151329.370 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1548151329.370 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.370 * [misc]backup-simplify: Simplify 0 into 0 1548151329.370 * [misc]backup-simplify: Simplify 0 into 0 1548151329.372 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151329.372 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548151329.373 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151329.373 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151329.373 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151329.373 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.373 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.373 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151329.373 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.373 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151329.373 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151329.373 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.374 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.374 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.374 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.374 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.374 * [misc]taylor: Taking taylor expansion of k in n 1548151329.374 * [misc]backup-simplify: Simplify k into k 1548151329.374 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.374 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.374 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.374 * [misc]backup-simplify: Simplify PI into PI 1548151329.374 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.374 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.375 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.375 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.375 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151329.375 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.375 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.375 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.375 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.376 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.376 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.376 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.376 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.376 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.376 * [misc]taylor: Taking taylor expansion of k in n 1548151329.376 * [misc]backup-simplify: Simplify k into k 1548151329.376 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.376 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.376 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.376 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.376 * [misc]backup-simplify: Simplify 2 into 2 1548151329.376 * [misc]taylor: Taking taylor expansion of n in n 1548151329.376 * [misc]backup-simplify: Simplify 0 into 0 1548151329.376 * [misc]backup-simplify: Simplify 1 into 1 1548151329.376 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.376 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.376 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.377 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.377 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.377 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.377 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.378 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.378 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.378 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1548151329.379 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.379 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.382 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1548151329.383 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1548151329.383 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1548151329.383 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of k in n 1548151329.383 * [misc]backup-simplify: Simplify k into k 1548151329.383 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.383 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.383 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.383 * [misc]backup-simplify: Simplify -2 into -2 1548151329.383 * [misc]taylor: Taking taylor expansion of n in n 1548151329.383 * [misc]backup-simplify: Simplify 0 into 0 1548151329.383 * [misc]backup-simplify: Simplify 1 into 1 1548151329.384 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.384 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.384 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.384 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.384 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.385 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.385 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.385 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.385 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151329.385 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151329.385 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.385 * [misc]taylor: Taking taylor expansion of k in n 1548151329.385 * [misc]backup-simplify: Simplify k into k 1548151329.385 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.385 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.385 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.385 * [misc]backup-simplify: Simplify PI into PI 1548151329.386 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.386 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.386 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.386 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151329.387 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.387 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548151329.387 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548151329.387 * [misc]taylor: Taking taylor expansion of -1 in n 1548151329.387 * [misc]backup-simplify: Simplify -1 into -1 1548151329.387 * [misc]taylor: Taking taylor expansion of k in n 1548151329.387 * [misc]backup-simplify: Simplify k into k 1548151329.387 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548151329.387 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548151329.387 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548151329.387 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548151329.388 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151329.388 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1548151329.388 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1548151329.388 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151329.388 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151329.388 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151329.388 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151329.388 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.388 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.388 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.388 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.388 * [misc]taylor: Taking taylor expansion of k in k 1548151329.388 * [misc]backup-simplify: Simplify 0 into 0 1548151329.388 * [misc]backup-simplify: Simplify 1 into 1 1548151329.389 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.389 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.389 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151329.389 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151329.389 * [misc]taylor: Taking taylor expansion of -2 in k 1548151329.389 * [misc]backup-simplify: Simplify -2 into -2 1548151329.389 * [misc]taylor: Taking taylor expansion of n in k 1548151329.389 * [misc]backup-simplify: Simplify n into n 1548151329.389 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151329.389 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151329.389 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.389 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.389 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151329.390 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.390 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151329.390 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151329.390 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151329.390 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.390 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.390 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.390 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.390 * [misc]taylor: Taking taylor expansion of k in k 1548151329.390 * [misc]backup-simplify: Simplify 0 into 0 1548151329.390 * [misc]backup-simplify: Simplify 1 into 1 1548151329.390 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.390 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.390 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.390 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.390 * [misc]backup-simplify: Simplify PI into PI 1548151329.391 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.391 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.391 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.392 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.392 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.392 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151329.392 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151329.392 * [misc]taylor: Taking taylor expansion of -1 in k 1548151329.392 * [misc]backup-simplify: Simplify -1 into -1 1548151329.392 * [misc]taylor: Taking taylor expansion of k in k 1548151329.392 * [misc]backup-simplify: Simplify 0 into 0 1548151329.392 * [misc]backup-simplify: Simplify 1 into 1 1548151329.392 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151329.392 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.393 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151329.393 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151329.393 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151329.394 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.394 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of k in k 1548151329.394 * [misc]backup-simplify: Simplify 0 into 0 1548151329.394 * [misc]backup-simplify: Simplify 1 into 1 1548151329.394 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.394 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.394 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151329.394 * [misc]taylor: Taking taylor expansion of -2 in k 1548151329.394 * [misc]backup-simplify: Simplify -2 into -2 1548151329.394 * [misc]taylor: Taking taylor expansion of n in k 1548151329.394 * [misc]backup-simplify: Simplify n into n 1548151329.394 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151329.394 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151329.395 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.395 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.395 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151329.395 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.395 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151329.395 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151329.395 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151329.395 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.395 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.395 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.395 * [misc]taylor: Taking taylor expansion of k in k 1548151329.395 * [misc]backup-simplify: Simplify 0 into 0 1548151329.395 * [misc]backup-simplify: Simplify 1 into 1 1548151329.396 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.396 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.396 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.396 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.396 * [misc]backup-simplify: Simplify PI into PI 1548151329.396 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.396 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.396 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.397 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.397 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.397 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151329.397 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151329.397 * [misc]taylor: Taking taylor expansion of -1 in k 1548151329.397 * [misc]backup-simplify: Simplify -1 into -1 1548151329.397 * [misc]taylor: Taking taylor expansion of k in k 1548151329.397 * [misc]backup-simplify: Simplify 0 into 0 1548151329.397 * [misc]backup-simplify: Simplify 1 into 1 1548151329.398 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151329.398 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.398 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151329.398 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151329.399 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151329.399 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.399 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.399 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.399 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of k in n 1548151329.399 * [misc]backup-simplify: Simplify k into k 1548151329.399 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.399 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.399 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.399 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.399 * [misc]backup-simplify: Simplify -2 into -2 1548151329.400 * [misc]taylor: Taking taylor expansion of n in n 1548151329.400 * [misc]backup-simplify: Simplify 0 into 0 1548151329.400 * [misc]backup-simplify: Simplify 1 into 1 1548151329.400 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.400 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.400 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.400 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.400 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.401 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.401 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.401 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.401 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151329.402 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151329.402 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.402 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.402 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.402 * [misc]taylor: Taking taylor expansion of k in n 1548151329.402 * [misc]backup-simplify: Simplify k into k 1548151329.402 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.402 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.402 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.402 * [misc]backup-simplify: Simplify PI into PI 1548151329.402 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.402 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.402 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.403 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151329.403 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.404 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151329.404 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151329.405 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151329.405 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1548151329.405 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548151329.406 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151329.407 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151329.407 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548151329.407 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151329.407 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.407 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.407 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151329.407 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.407 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.407 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.407 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.407 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.407 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.407 * [misc]taylor: Taking taylor expansion of k in n 1548151329.407 * [misc]backup-simplify: Simplify k into k 1548151329.408 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.408 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.408 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.408 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.408 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.408 * [misc]backup-simplify: Simplify -2 into -2 1548151329.408 * [misc]taylor: Taking taylor expansion of n in n 1548151329.408 * [misc]backup-simplify: Simplify 0 into 0 1548151329.408 * [misc]backup-simplify: Simplify 1 into 1 1548151329.408 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.408 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.408 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.408 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.409 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.409 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.409 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.409 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.409 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151329.409 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151329.409 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.410 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.410 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.410 * [misc]taylor: Taking taylor expansion of k in n 1548151329.410 * [misc]backup-simplify: Simplify k into k 1548151329.410 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.410 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.410 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.410 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.410 * [misc]backup-simplify: Simplify PI into PI 1548151329.410 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.410 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.410 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.411 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151329.411 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.411 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151329.412 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151329.412 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151329.413 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151329.415 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151329.416 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.416 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151329.416 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.417 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1548151329.418 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151329.418 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548151329.422 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548151329.422 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.422 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151329.422 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.423 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.423 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548151329.424 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151329.425 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1548151329.425 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1548151329.425 * [misc]backup-simplify: Simplify 0 into 0 1548151329.426 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1548151329.426 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.427 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151329.429 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151329.429 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.429 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.429 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.429 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of k in n 1548151329.429 * [misc]backup-simplify: Simplify k into k 1548151329.429 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.429 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.429 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.429 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.429 * [misc]backup-simplify: Simplify -2 into -2 1548151329.429 * [misc]taylor: Taking taylor expansion of n in n 1548151329.429 * [misc]backup-simplify: Simplify 0 into 0 1548151329.429 * [misc]backup-simplify: Simplify 1 into 1 1548151329.430 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.430 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.430 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.430 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.431 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.431 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.431 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.431 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151329.431 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151329.431 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.431 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.431 * [misc]taylor: Taking taylor expansion of k in n 1548151329.431 * [misc]backup-simplify: Simplify k into k 1548151329.431 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.431 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.431 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151329.432 * [misc]taylor: Taking taylor expansion of PI in n 1548151329.432 * [misc]backup-simplify: Simplify PI into PI 1548151329.432 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.432 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.432 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.432 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151329.433 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.433 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151329.434 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151329.434 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151329.435 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151329.437 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1548151329.437 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1548151329.437 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1548151329.437 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1548151329.437 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1548151329.437 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1548151329.437 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548151329.437 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548151329.437 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548151329.437 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151329.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.438 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151329.438 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.438 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.438 * [misc]taylor: Taking taylor expansion of k in n 1548151329.438 * [misc]backup-simplify: Simplify k into k 1548151329.438 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151329.438 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151329.438 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.438 * [misc]backup-simplify: Simplify 2 into 2 1548151329.438 * [misc]taylor: Taking taylor expansion of n in n 1548151329.438 * [misc]backup-simplify: Simplify 0 into 0 1548151329.438 * [misc]backup-simplify: Simplify 1 into 1 1548151329.438 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151329.438 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151329.438 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.438 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151329.439 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151329.439 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151329.439 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.439 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548151329.440 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1548151329.440 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1548151329.440 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548151329.440 * [misc]taylor: Taking taylor expansion of k in n 1548151329.440 * [misc]backup-simplify: Simplify k into k 1548151329.440 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548151329.440 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548151329.440 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548151329.440 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1548151329.440 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151329.440 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151329.440 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151329.440 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.440 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.440 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.441 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.441 * [misc]taylor: Taking taylor expansion of k in k 1548151329.441 * [misc]backup-simplify: Simplify 0 into 0 1548151329.441 * [misc]backup-simplify: Simplify 1 into 1 1548151329.441 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151329.441 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151329.441 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.441 * [misc]backup-simplify: Simplify 2 into 2 1548151329.441 * [misc]taylor: Taking taylor expansion of n in k 1548151329.441 * [misc]backup-simplify: Simplify n into n 1548151329.441 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151329.441 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151329.441 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151329.441 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.441 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.441 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151329.442 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151329.442 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1548151329.442 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151329.442 * [misc]taylor: Taking taylor expansion of k in k 1548151329.442 * [misc]backup-simplify: Simplify 0 into 0 1548151329.442 * [misc]backup-simplify: Simplify 1 into 1 1548151329.442 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.443 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.443 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548151329.443 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1548151329.443 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548151329.443 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548151329.443 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548151329.443 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.443 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.443 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.443 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.443 * [misc]taylor: Taking taylor expansion of k in k 1548151329.443 * [misc]backup-simplify: Simplify 0 into 0 1548151329.443 * [misc]backup-simplify: Simplify 1 into 1 1548151329.443 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548151329.443 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548151329.443 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.443 * [misc]backup-simplify: Simplify 2 into 2 1548151329.443 * [misc]taylor: Taking taylor expansion of n in k 1548151329.443 * [misc]backup-simplify: Simplify n into n 1548151329.443 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548151329.443 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548151329.444 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151329.444 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.444 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.444 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548151329.444 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548151329.444 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1548151329.444 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151329.444 * [misc]taylor: Taking taylor expansion of k in k 1548151329.444 * [misc]backup-simplify: Simplify 0 into 0 1548151329.444 * [misc]backup-simplify: Simplify 1 into 1 1548151329.444 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.445 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.445 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1548151329.445 * [misc]taylor: Taking taylor expansion of 0 in n 1548151329.445 * [misc]backup-simplify: Simplify 0 into 0 1548151329.445 * [misc]backup-simplify: Simplify 0 into 0 1548151329.445 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1548151329.446 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1548151329.446 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151329.447 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.447 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.447 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1548151329.447 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1548151329.448 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1548151329.449 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1548151329.449 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1548151329.449 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1548151329.449 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.449 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.449 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1548151329.449 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548151329.449 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151329.449 * [misc]taylor: Taking taylor expansion of n in n 1548151329.449 * [misc]backup-simplify: Simplify 0 into 0 1548151329.449 * [misc]backup-simplify: Simplify 1 into 1 1548151329.449 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.450 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.450 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.450 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548151329.450 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.450 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548151329.451 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548151329.451 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548151329.452 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1548151329.453 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1548151329.454 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548151329.454 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548151329.455 * [misc]backup-simplify: Simplify 0 into 0 1548151329.456 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151329.456 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1548151329.458 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1548151329.458 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151329.458 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.458 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.459 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1548151329.460 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1548151329.462 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1548151329.465 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1548151329.466 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1548151329.466 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1548151329.466 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1548151329.466 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.466 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.466 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1548151329.466 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1548151329.466 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548151329.466 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.466 * [misc]backup-simplify: Simplify 2 into 2 1548151329.466 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548151329.466 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548151329.466 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1548151329.466 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548151329.466 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548151329.466 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.467 * [misc]backup-simplify: Simplify 2 into 2 1548151329.467 * [misc]taylor: Taking taylor expansion of n in n 1548151329.467 * [misc]backup-simplify: Simplify 0 into 0 1548151329.467 * [misc]backup-simplify: Simplify 1 into 1 1548151329.467 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548151329.467 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548151329.467 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.467 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1548151329.467 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548151329.467 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.467 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548151329.468 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548151329.468 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548151329.468 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151329.468 * [misc]taylor: Taking taylor expansion of n in n 1548151329.468 * [misc]backup-simplify: Simplify 0 into 0 1548151329.468 * [misc]backup-simplify: Simplify 1 into 1 1548151329.468 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.468 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.469 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.469 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1548151329.469 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1548151329.469 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.469 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.469 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1548151329.469 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548151329.469 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151329.469 * [misc]taylor: Taking taylor expansion of n in n 1548151329.469 * [misc]backup-simplify: Simplify 0 into 0 1548151329.469 * [misc]backup-simplify: Simplify 1 into 1 1548151329.469 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.469 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.470 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.470 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548151329.470 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.470 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548151329.470 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548151329.471 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.471 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1548151329.472 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1548151329.472 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1548151329.473 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548151329.473 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1548151329.473 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548151329.476 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151329.477 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1548151329.477 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1548151329.479 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1548151329.480 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1548151329.483 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1548151329.484 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548151329.484 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1548151329.485 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1548151329.486 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548151329.489 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1548151329.493 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1548151329.496 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1548151329.497 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1548151329.498 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151329.499 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151329.500 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548151329.501 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1548151329.502 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548151329.502 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548151329.508 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1548151329.508 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1548151329.508 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1548151329.508 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1548151329.508 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151329.508 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.509 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.509 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.509 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.509 * [misc]taylor: Taking taylor expansion of k in n 1548151329.509 * [misc]backup-simplify: Simplify k into k 1548151329.509 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.509 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.509 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.509 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.509 * [misc]backup-simplify: Simplify 2 into 2 1548151329.509 * [misc]taylor: Taking taylor expansion of n in n 1548151329.509 * [misc]backup-simplify: Simplify 0 into 0 1548151329.509 * [misc]backup-simplify: Simplify 1 into 1 1548151329.509 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.509 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.509 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.510 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.510 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.510 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.511 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.511 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.511 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548151329.511 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.511 * [misc]taylor: Taking taylor expansion of k in n 1548151329.511 * [misc]backup-simplify: Simplify k into k 1548151329.511 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.511 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548151329.511 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.511 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548151329.512 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.512 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.512 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of k in k 1548151329.512 * [misc]backup-simplify: Simplify 0 into 0 1548151329.512 * [misc]backup-simplify: Simplify 1 into 1 1548151329.512 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.512 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151329.512 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.512 * [misc]backup-simplify: Simplify 2 into 2 1548151329.513 * [misc]taylor: Taking taylor expansion of n in k 1548151329.513 * [misc]backup-simplify: Simplify n into n 1548151329.513 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151329.513 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151329.513 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.513 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.513 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.513 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151329.513 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.514 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548151329.514 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151329.514 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.514 * [misc]taylor: Taking taylor expansion of k in k 1548151329.514 * [misc]backup-simplify: Simplify 0 into 0 1548151329.514 * [misc]backup-simplify: Simplify 1 into 1 1548151329.514 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.514 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.515 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.515 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of k in k 1548151329.515 * [misc]backup-simplify: Simplify 0 into 0 1548151329.515 * [misc]backup-simplify: Simplify 1 into 1 1548151329.515 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.515 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548151329.515 * [misc]taylor: Taking taylor expansion of 2 in k 1548151329.515 * [misc]backup-simplify: Simplify 2 into 2 1548151329.515 * [misc]taylor: Taking taylor expansion of n in k 1548151329.515 * [misc]backup-simplify: Simplify n into n 1548151329.516 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548151329.516 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548151329.516 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.516 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.516 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.516 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548151329.516 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151329.517 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548151329.517 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151329.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.517 * [misc]taylor: Taking taylor expansion of k in k 1548151329.517 * [misc]backup-simplify: Simplify 0 into 0 1548151329.517 * [misc]backup-simplify: Simplify 1 into 1 1548151329.517 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.517 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.517 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151329.518 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1548151329.518 * [misc]taylor: Taking taylor expansion of 0 in n 1548151329.518 * [misc]backup-simplify: Simplify 0 into 0 1548151329.518 * [misc]backup-simplify: Simplify 0 into 0 1548151329.518 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548151329.519 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151329.519 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.519 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.519 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of k in n 1548151329.519 * [misc]backup-simplify: Simplify k into k 1548151329.519 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.519 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.519 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.519 * [misc]backup-simplify: Simplify 2 into 2 1548151329.519 * [misc]taylor: Taking taylor expansion of n in n 1548151329.519 * [misc]backup-simplify: Simplify 0 into 0 1548151329.519 * [misc]backup-simplify: Simplify 1 into 1 1548151329.520 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.520 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.520 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.520 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.520 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.520 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.521 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.521 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.521 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.522 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.522 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.522 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.523 * [misc]backup-simplify: Simplify 0 into 0 1548151329.523 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151329.524 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151329.524 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548151329.525 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151329.525 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151329.525 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151329.525 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.525 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.525 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151329.525 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.525 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.525 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.525 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.525 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.525 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.525 * [misc]taylor: Taking taylor expansion of k in n 1548151329.526 * [misc]backup-simplify: Simplify k into k 1548151329.526 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.526 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.526 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.526 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.526 * [misc]backup-simplify: Simplify 2 into 2 1548151329.526 * [misc]taylor: Taking taylor expansion of n in n 1548151329.526 * [misc]backup-simplify: Simplify 0 into 0 1548151329.526 * [misc]backup-simplify: Simplify 1 into 1 1548151329.526 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.526 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.526 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.526 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.526 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.527 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.527 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.527 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.528 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.528 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.529 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.529 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.530 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548151329.532 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151329.532 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.532 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151329.532 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.533 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548151329.534 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151329.535 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1548151329.536 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1548151329.536 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.536 * [misc]backup-simplify: Simplify 0 into 0 1548151329.536 * [misc]backup-simplify: Simplify 0 into 0 1548151329.536 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.537 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151329.538 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548151329.539 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548151329.539 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.539 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.539 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.539 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of k in n 1548151329.539 * [misc]backup-simplify: Simplify k into k 1548151329.539 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.539 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548151329.539 * [misc]taylor: Taking taylor expansion of 2 in n 1548151329.540 * [misc]backup-simplify: Simplify 2 into 2 1548151329.540 * [misc]taylor: Taking taylor expansion of n in n 1548151329.540 * [misc]backup-simplify: Simplify 0 into 0 1548151329.540 * [misc]backup-simplify: Simplify 1 into 1 1548151329.540 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548151329.540 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151329.540 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.540 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151329.540 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151329.541 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548151329.541 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548151329.541 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548151329.541 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.542 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548151329.542 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.543 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548151329.544 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1548151329.544 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548151329.544 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1548151329.545 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of -1 in n 1548151329.545 * [misc]backup-simplify: Simplify -1 into -1 1548151329.545 * [misc]taylor: Taking taylor expansion of k in n 1548151329.545 * [misc]backup-simplify: Simplify k into k 1548151329.545 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548151329.545 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548151329.545 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548151329.545 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548151329.545 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.545 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of k in n 1548151329.545 * [misc]backup-simplify: Simplify k into k 1548151329.545 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.545 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.545 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.545 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.545 * [misc]backup-simplify: Simplify -2 into -2 1548151329.545 * [misc]taylor: Taking taylor expansion of n in n 1548151329.546 * [misc]backup-simplify: Simplify 0 into 0 1548151329.546 * [misc]backup-simplify: Simplify 1 into 1 1548151329.546 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.546 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.546 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.546 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.546 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.547 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.547 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.547 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151329.547 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151329.547 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151329.547 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151329.547 * [misc]taylor: Taking taylor expansion of -1 in k 1548151329.548 * [misc]backup-simplify: Simplify -1 into -1 1548151329.548 * [misc]taylor: Taking taylor expansion of k in k 1548151329.548 * [misc]backup-simplify: Simplify 0 into 0 1548151329.548 * [misc]backup-simplify: Simplify 1 into 1 1548151329.548 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151329.548 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.548 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151329.548 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151329.548 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151329.548 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151329.548 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.549 * [misc]taylor: Taking taylor expansion of k in k 1548151329.549 * [misc]backup-simplify: Simplify 0 into 0 1548151329.549 * [misc]backup-simplify: Simplify 1 into 1 1548151329.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.549 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151329.549 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151329.549 * [misc]taylor: Taking taylor expansion of -2 in k 1548151329.549 * [misc]backup-simplify: Simplify -2 into -2 1548151329.549 * [misc]taylor: Taking taylor expansion of n in k 1548151329.549 * [misc]backup-simplify: Simplify n into n 1548151329.549 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151329.549 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151329.549 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.549 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.550 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151329.550 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.550 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548151329.550 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151329.550 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151329.550 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151329.550 * [misc]taylor: Taking taylor expansion of -1 in k 1548151329.550 * [misc]backup-simplify: Simplify -1 into -1 1548151329.550 * [misc]taylor: Taking taylor expansion of k in k 1548151329.550 * [misc]backup-simplify: Simplify 0 into 0 1548151329.550 * [misc]backup-simplify: Simplify 1 into 1 1548151329.550 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151329.550 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151329.551 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151329.551 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151329.551 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548151329.551 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548151329.551 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.551 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.551 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.551 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.551 * [misc]taylor: Taking taylor expansion of k in k 1548151329.551 * [misc]backup-simplify: Simplify 0 into 0 1548151329.551 * [misc]backup-simplify: Simplify 1 into 1 1548151329.551 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.551 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.551 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548151329.551 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548151329.552 * [misc]taylor: Taking taylor expansion of -2 in k 1548151329.552 * [misc]backup-simplify: Simplify -2 into -2 1548151329.552 * [misc]taylor: Taking taylor expansion of n in k 1548151329.552 * [misc]backup-simplify: Simplify n into n 1548151329.552 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548151329.552 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548151329.552 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.552 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.552 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548151329.552 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151329.552 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548151329.553 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151329.553 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.553 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.553 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.553 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.553 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.553 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.553 * [misc]taylor: Taking taylor expansion of k in n 1548151329.553 * [misc]backup-simplify: Simplify k into k 1548151329.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.553 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.553 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.553 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.553 * [misc]backup-simplify: Simplify -2 into -2 1548151329.553 * [misc]taylor: Taking taylor expansion of n in n 1548151329.553 * [misc]backup-simplify: Simplify 0 into 0 1548151329.553 * [misc]backup-simplify: Simplify 1 into 1 1548151329.553 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.554 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.554 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.554 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.554 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.555 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.555 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151329.555 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151329.556 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548151329.557 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151329.557 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151329.557 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548151329.557 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151329.557 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.557 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.557 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151329.558 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.558 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.558 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.558 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.558 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.558 * [misc]taylor: Taking taylor expansion of k in n 1548151329.558 * [misc]backup-simplify: Simplify k into k 1548151329.558 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.558 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.558 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.558 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.558 * [misc]backup-simplify: Simplify -2 into -2 1548151329.558 * [misc]taylor: Taking taylor expansion of n in n 1548151329.558 * [misc]backup-simplify: Simplify 0 into 0 1548151329.558 * [misc]backup-simplify: Simplify 1 into 1 1548151329.558 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.558 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.559 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.559 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.559 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.559 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.560 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.560 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151329.560 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151329.561 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548151329.561 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548151329.561 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548151329.564 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548151329.564 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151329.565 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151329.565 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.565 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.565 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548151329.567 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151329.568 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1548151329.568 * [misc]backup-simplify: Simplify 0 into 0 1548151329.568 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.569 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151329.570 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1548151329.570 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548151329.570 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548151329.570 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548151329.570 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548151329.570 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548151329.571 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151329.571 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548151329.571 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548151329.571 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151329.571 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151329.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151329.571 * [misc]taylor: Taking taylor expansion of k in n 1548151329.571 * [misc]backup-simplify: Simplify k into k 1548151329.571 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151329.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151329.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.571 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548151329.571 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548151329.571 * [misc]taylor: Taking taylor expansion of -2 in n 1548151329.571 * [misc]backup-simplify: Simplify -2 into -2 1548151329.571 * [misc]taylor: Taking taylor expansion of n in n 1548151329.571 * [misc]backup-simplify: Simplify 0 into 0 1548151329.571 * [misc]backup-simplify: Simplify 1 into 1 1548151329.571 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548151329.571 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548151329.572 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151329.572 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151329.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548151329.572 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548151329.573 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548151329.573 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151329.573 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548151329.574 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548151329.574 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548151329.576 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1548151329.576 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1548151329.576 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1548151329.576 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1548151329.577 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151329.577 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.577 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.577 * [misc]taylor: Taking taylor expansion of k in k 1548151329.577 * [misc]backup-simplify: Simplify 0 into 0 1548151329.577 * [misc]backup-simplify: Simplify 1 into 1 1548151329.577 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.577 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.577 * [misc]backup-simplify: Simplify PI into PI 1548151329.577 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.577 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151329.577 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151329.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.577 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151329.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.577 * [misc]taylor: Taking taylor expansion of k in k 1548151329.577 * [misc]backup-simplify: Simplify 0 into 0 1548151329.577 * [misc]backup-simplify: Simplify 1 into 1 1548151329.577 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.577 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.578 * [misc]backup-simplify: Simplify PI into PI 1548151329.578 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.578 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151329.578 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.578 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.580 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.580 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.583 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151329.583 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151329.583 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.583 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.584 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548151329.585 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1548151329.589 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151329.589 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151329.590 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.591 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548151329.591 * [misc]backup-simplify: Simplify 0 into 0 1548151329.598 * [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 1548151329.599 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548151329.599 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.599 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.601 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548151329.601 * [misc]backup-simplify: Simplify 0 into 0 1548151329.613 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1548151329.613 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1548151329.613 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.616 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1548151329.616 * [misc]backup-simplify: Simplify 0 into 0 1548151329.633 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1548151329.634 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1548151329.634 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.634 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1548151329.637 * [misc]backup-simplify: Simplify 0 into 0 1548151329.664 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1548151329.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1548151329.665 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.665 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.668 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1548151329.669 * [misc]backup-simplify: Simplify 0 into 0 1548151329.707 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1548151329.708 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1548151329.708 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.708 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.713 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1548151329.713 * [misc]backup-simplify: Simplify 0 into 0 1548151329.714 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548151329.715 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151329.715 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1548151329.715 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151329.715 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.715 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.715 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.715 * [misc]taylor: Taking taylor expansion of k in k 1548151329.715 * [misc]backup-simplify: Simplify 0 into 0 1548151329.715 * [misc]backup-simplify: Simplify 1 into 1 1548151329.715 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.715 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.715 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.715 * [misc]backup-simplify: Simplify PI into PI 1548151329.716 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.716 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151329.716 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151329.716 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.716 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.716 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.716 * [misc]taylor: Taking taylor expansion of k in k 1548151329.716 * [misc]backup-simplify: Simplify 0 into 0 1548151329.716 * [misc]backup-simplify: Simplify 1 into 1 1548151329.716 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.716 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.716 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.716 * [misc]backup-simplify: Simplify PI into PI 1548151329.716 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.717 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.717 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151329.717 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151329.717 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151329.718 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151329.720 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151329.720 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151329.721 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1548151329.721 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.721 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.722 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1548151329.722 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.726 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151329.727 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.727 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1548151329.727 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.727 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.730 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1548151329.730 * [misc]backup-simplify: Simplify 0 into 0 1548151329.737 * [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 1548151329.737 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1548151329.737 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.739 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548151329.739 * [misc]backup-simplify: Simplify 0 into 0 1548151329.750 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1548151329.750 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.750 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1548151329.750 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.750 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.752 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1548151329.752 * [misc]backup-simplify: Simplify 0 into 0 1548151329.761 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1548151329.761 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.762 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1548151329.762 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.762 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.764 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1548151329.764 * [misc]backup-simplify: Simplify 0 into 0 1548151329.778 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1548151329.779 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.779 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1548151329.779 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.779 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.782 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1548151329.782 * [misc]backup-simplify: Simplify 0 into 0 1548151329.809 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1548151329.810 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.810 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1548151329.810 * [misc]backup-simplify: Simplify (- 0) into 0 1548151329.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.813 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1548151329.813 * [misc]backup-simplify: Simplify 0 into 0 1548151329.814 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548151329.814 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151329.814 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1548151329.814 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151329.814 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.814 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.814 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.814 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.814 * [misc]taylor: Taking taylor expansion of k in k 1548151329.814 * [misc]backup-simplify: Simplify 0 into 0 1548151329.814 * [misc]backup-simplify: Simplify 1 into 1 1548151329.814 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.814 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.814 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.814 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.814 * [misc]backup-simplify: Simplify PI into PI 1548151329.814 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.814 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151329.814 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151329.814 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151329.815 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.815 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151329.815 * [misc]taylor: Taking taylor expansion of k in k 1548151329.815 * [misc]backup-simplify: Simplify 0 into 0 1548151329.815 * [misc]backup-simplify: Simplify 1 into 1 1548151329.815 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151329.815 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151329.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151329.815 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151329.815 * [misc]taylor: Taking taylor expansion of PI in k 1548151329.815 * [misc]backup-simplify: Simplify PI into PI 1548151329.815 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151329.815 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151329.815 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151329.816 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.816 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.817 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151329.818 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151329.818 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1548151329.818 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1548151329.818 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1548151329.819 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151329.821 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151329.821 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.822 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1548151329.822 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.822 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1548151329.822 * [misc]backup-simplify: Simplify 0 into 0 1548151329.826 * [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 1548151329.827 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.827 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1548151329.827 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.829 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548151329.829 * [misc]backup-simplify: Simplify 0 into 0 1548151329.835 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1548151329.835 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.836 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1548151329.836 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.837 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1548151329.837 * [misc]backup-simplify: Simplify 0 into 0 1548151329.847 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1548151329.847 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.847 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1548151329.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1548151329.849 * [misc]backup-simplify: Simplify 0 into 0 1548151329.864 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1548151329.864 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.865 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1548151329.865 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.867 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1548151329.867 * [misc]backup-simplify: Simplify 0 into 0 1548151329.889 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1548151329.890 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151329.890 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1548151329.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151329.892 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1548151329.892 * [misc]backup-simplify: Simplify 0 into 0 1548151329.893 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548151329.893 * * * [misc]progress: simplifying candidates 1548151329.893 * * * * [misc]progress: [ 1 / 310 ] simplifiying candidate # 1548151329.893 * * * * [misc]progress: [ 2 / 310 ] simplifiying candidate # 1548151329.893 * * * * [misc]progress: [ 3 / 310 ] simplifiying candidate # 1548151329.893 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1548151329.894 * * [misc]simplify: iters left: 6 (9 enodes) 1548151329.895 * * [misc]simplify: iters left: 5 (16 enodes) 1548151329.898 * * [misc]simplify: iters left: 4 (32 enodes) 1548151329.904 * * [misc]simplify: iters left: 3 (72 enodes) 1548151329.923 * * [misc]simplify: iters left: 2 (195 enodes) 1548151329.996 * * [misc]simplify: iters left: 1 (418 enodes) 1548151330.154 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1548151330.154 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1548151330.154 * * * * [misc]progress: [ 4 / 310 ] simplifiying candidate # 1548151330.154 * * * * [misc]progress: [ 5 / 310 ] simplifiying candidate # 1548151330.154 * [enter]simplify: Simplifying (* n 2) 1548151330.154 * * [misc]simplify: iters left: 2 (3 enodes) 1548151330.155 * * [misc]simplify: iters left: 1 (4 enodes) 1548151330.155 * [exit]simplify: Simplified to (* n 2) 1548151330.155 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1548151330.155 * * * * [misc]progress: [ 6 / 310 ] simplifiying candidate # 1548151330.155 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548151330.155 * * [misc]simplify: iters left: 3 (6 enodes) 1548151330.156 * * [misc]simplify: iters left: 2 (7 enodes) 1548151330.157 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548151330.157 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1548151330.157 * * * * [misc]progress: [ 7 / 310 ] simplifiying candidate # 1548151330.158 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548151330.158 * * [misc]simplify: iters left: 5 (6 enodes) 1548151330.158 * * [misc]simplify: iters left: 4 (8 enodes) 1548151330.160 * * [misc]simplify: iters left: 3 (11 enodes) 1548151330.161 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548151330.161 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1548151330.161 * * * * [misc]progress: [ 8 / 310 ] simplifiying candidate # 1548151330.161 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548151330.161 * * [misc]simplify: iters left: 5 (6 enodes) 1548151330.162 * * [misc]simplify: iters left: 4 (8 enodes) 1548151330.163 * * [misc]simplify: iters left: 3 (11 enodes) 1548151330.165 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548151330.165 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1548151330.165 * * * * [misc]progress: [ 9 / 310 ] simplifiying candidate # 1548151330.166 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548151330.166 * * [misc]simplify: iters left: 4 (5 enodes) 1548151330.166 * * [misc]simplify: iters left: 3 (7 enodes) 1548151330.167 * * [misc]simplify: iters left: 2 (10 enodes) 1548151330.169 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548151330.169 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1548151330.169 * * * * [misc]progress: [ 10 / 310 ] simplifiying candidate # 1548151330.169 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548151330.169 * * [misc]simplify: iters left: 5 (7 enodes) 1548151330.170 * * [misc]simplify: iters left: 4 (10 enodes) 1548151330.171 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548151330.171 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1548151330.171 * * * * [misc]progress: [ 11 / 310 ] simplifiying candidate # 1548151330.172 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548151330.172 * * [misc]simplify: iters left: 5 (7 enodes) 1548151330.173 * * [misc]simplify: iters left: 4 (10 enodes) 1548151330.174 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548151330.174 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1548151330.174 * * * * [misc]progress: [ 12 / 310 ] simplifiying candidate # 1548151330.174 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1548151330.174 * * [misc]simplify: iters left: 5 (7 enodes) 1548151330.175 * * [misc]simplify: iters left: 4 (9 enodes) 1548151330.177 * * [misc]simplify: iters left: 3 (12 enodes) 1548151330.180 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548151330.180 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1548151330.180 * * * * [misc]progress: [ 13 / 310 ] simplifiying candidate # 1548151330.180 * * * * [misc]progress: [ 14 / 310 ] simplifiying candidate # 1548151330.180 * * * * [misc]progress: [ 15 / 310 ] simplifiying candidate # 1548151330.181 * * * * [misc]progress: [ 16 / 310 ] simplifiying candidate # 1548151330.181 * * * * [misc]progress: [ 17 / 310 ] simplifiying candidate # 1548151330.181 * * * * [misc]progress: [ 18 / 310 ] simplifiying candidate # 1548151330.181 * * * * [misc]progress: [ 19 / 310 ] simplifiying candidate # 1548151330.181 * * * * [misc]progress: [ 20 / 310 ] simplifiying candidate # 1548151330.181 * * * * [misc]progress: [ 21 / 310 ] simplifiying candidate # 1548151330.181 * * * * [misc]progress: [ 22 / 310 ] simplifiying candidate # 1548151330.181 * * * * [misc]progress: [ 23 / 310 ] simplifiying candidate # 1548151330.181 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548151330.181 * * [misc]simplify: iters left: 6 (16 enodes) 1548151330.187 * * [misc]simplify: iters left: 5 (31 enodes) 1548151330.197 * * [misc]simplify: iters left: 4 (70 enodes) 1548151330.227 * * [misc]simplify: iters left: 3 (225 enodes) 1548151330.353 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1548151330.354 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1548151330.354 * * * * [misc]progress: [ 24 / 310 ] simplifiying candidate # 1548151330.354 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548151330.354 * * [misc]simplify: iters left: 6 (16 enodes) 1548151330.358 * * [misc]simplify: iters left: 5 (31 enodes) 1548151330.364 * * [misc]simplify: iters left: 4 (70 enodes) 1548151330.380 * * [misc]simplify: iters left: 3 (225 enodes) 1548151330.488 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1548151330.489 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1548151330.489 * * * * [misc]progress: [ 25 / 310 ] simplifiying candidate # 1548151330.489 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151330.489 * * [misc]simplify: iters left: 6 (16 enodes) 1548151330.494 * * [misc]simplify: iters left: 5 (29 enodes) 1548151330.508 * * [misc]simplify: iters left: 4 (58 enodes) 1548151330.530 * * [misc]simplify: iters left: 3 (142 enodes) 1548151330.587 * * [misc]simplify: iters left: 2 (491 enodes) 1548151330.915 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))) 1548151330.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))))) 1548151330.915 * * * * [misc]progress: [ 26 / 310 ] simplifiying candidate # 1548151330.915 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151330.915 * * [misc]simplify: iters left: 6 (15 enodes) 1548151330.918 * * [misc]simplify: iters left: 5 (25 enodes) 1548151330.922 * * [misc]simplify: iters left: 4 (42 enodes) 1548151330.929 * * [misc]simplify: iters left: 3 (87 enodes) 1548151330.955 * * [misc]simplify: iters left: 2 (190 enodes) 1548151331.060 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1548151331.060 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1548151331.060 * * * * [misc]progress: [ 27 / 310 ] simplifiying candidate # 1548151331.060 * * * * [misc]progress: [ 28 / 310 ] simplifiying candidate # 1548151331.060 * * * * [misc]progress: [ 29 / 310 ] simplifiying candidate # 1548151331.060 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151331.061 * * [misc]simplify: iters left: 6 (21 enodes) 1548151331.068 * * [misc]simplify: iters left: 5 (44 enodes) 1548151331.083 * * [misc]simplify: iters left: 4 (136 enodes) 1548151331.130 * [exit]simplify: Simplified to (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151331.130 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151331.130 * * * * [misc]progress: [ 30 / 310 ] simplifiying candidate # 1548151331.131 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151331.131 * * [misc]simplify: iters left: 6 (19 enodes) 1548151331.134 * * [misc]simplify: iters left: 5 (43 enodes) 1548151331.150 * * [misc]simplify: iters left: 4 (116 enodes) 1548151331.198 * * [misc]simplify: iters left: 3 (342 enodes) 1548151331.428 * [exit]simplify: Simplified to (pow (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) 3) 1548151331.428 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) 3))) 1548151331.428 * * * * [misc]progress: [ 31 / 310 ] simplifiying candidate # 1548151331.428 * * * * [misc]progress: [ 32 / 310 ] simplifiying candidate # 1548151331.428 * * * * [misc]progress: [ 33 / 310 ] simplifiying candidate # 1548151331.428 * * * * [misc]progress: [ 34 / 310 ] simplifiying candidate # 1548151331.428 * * * * [misc]progress: [ 35 / 310 ] simplifiying candidate # 1548151331.428 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151331.428 * * [misc]simplify: iters left: 6 (17 enodes) 1548151331.431 * * [misc]simplify: iters left: 5 (26 enodes) 1548151331.434 * * [misc]simplify: iters left: 4 (31 enodes) 1548151331.438 * * [misc]simplify: iters left: 3 (33 enodes) 1548151331.446 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151331.446 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151331.447 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151331.447 * * [misc]simplify: iters left: 6 (17 enodes) 1548151331.450 * * [misc]simplify: iters left: 5 (27 enodes) 1548151331.457 * * [misc]simplify: iters left: 4 (41 enodes) 1548151331.469 * * [misc]simplify: iters left: 3 (71 enodes) 1548151331.481 * * [misc]simplify: iters left: 2 (93 enodes) 1548151331.491 * * [misc]simplify: iters left: 1 (101 enodes) 1548151331.503 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151331.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151331.503 * * * * [misc]progress: [ 36 / 310 ] simplifiying candidate # 1548151331.504 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151331.504 * * [misc]simplify: iters left: 6 (16 enodes) 1548151331.508 * * [misc]simplify: iters left: 5 (23 enodes) 1548151331.514 * * [misc]simplify: iters left: 4 (28 enodes) 1548151331.521 * * [misc]simplify: iters left: 3 (30 enodes) 1548151331.529 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151331.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151331.529 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151331.530 * * [misc]simplify: iters left: 6 (17 enodes) 1548151331.535 * * [misc]simplify: iters left: 5 (27 enodes) 1548151331.540 * * [misc]simplify: iters left: 4 (41 enodes) 1548151331.546 * * [misc]simplify: iters left: 3 (71 enodes) 1548151331.555 * * [misc]simplify: iters left: 2 (93 enodes) 1548151331.566 * * [misc]simplify: iters left: 1 (101 enodes) 1548151331.577 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151331.578 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151331.578 * * * * [misc]progress: [ 37 / 310 ] simplifiying candidate # 1548151331.578 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151331.578 * * [misc]simplify: iters left: 6 (15 enodes) 1548151331.580 * * [misc]simplify: iters left: 5 (25 enodes) 1548151331.583 * * [misc]simplify: iters left: 4 (34 enodes) 1548151331.588 * * [misc]simplify: iters left: 3 (48 enodes) 1548151331.594 * * [misc]simplify: iters left: 2 (53 enodes) 1548151331.601 * * [misc]simplify: iters left: 1 (60 enodes) 1548151331.608 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151331.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151331.608 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151331.608 * * [misc]simplify: iters left: 6 (15 enodes) 1548151331.611 * * [misc]simplify: iters left: 5 (26 enodes) 1548151331.614 * * [misc]simplify: iters left: 4 (42 enodes) 1548151331.620 * * [misc]simplify: iters left: 3 (78 enodes) 1548151331.634 * * [misc]simplify: iters left: 2 (126 enodes) 1548151331.659 * * [misc]simplify: iters left: 1 (179 enodes) 1548151331.687 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151331.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151331.688 * * * * [misc]progress: [ 38 / 310 ] simplifiying candidate # 1548151331.688 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151331.688 * * [misc]simplify: iters left: 6 (15 enodes) 1548151331.693 * * [misc]simplify: iters left: 5 (25 enodes) 1548151331.698 * * [misc]simplify: iters left: 4 (34 enodes) 1548151331.703 * * [misc]simplify: iters left: 3 (48 enodes) 1548151331.709 * * [misc]simplify: iters left: 2 (53 enodes) 1548151331.717 * * [misc]simplify: iters left: 1 (60 enodes) 1548151331.726 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151331.726 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151331.727 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151331.727 * * [misc]simplify: iters left: 6 (15 enodes) 1548151331.731 * * [misc]simplify: iters left: 5 (26 enodes) 1548151331.739 * * [misc]simplify: iters left: 4 (42 enodes) 1548151331.751 * * [misc]simplify: iters left: 3 (78 enodes) 1548151331.771 * * [misc]simplify: iters left: 2 (126 enodes) 1548151331.804 * * [misc]simplify: iters left: 1 (179 enodes) 1548151331.856 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151331.856 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151331.856 * * * * [misc]progress: [ 39 / 310 ] simplifiying candidate # 1548151331.856 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151331.857 * * [misc]simplify: iters left: 6 (16 enodes) 1548151331.861 * * [misc]simplify: iters left: 5 (26 enodes) 1548151331.868 * * [misc]simplify: iters left: 4 (38 enodes) 1548151331.878 * * [misc]simplify: iters left: 3 (52 enodes) 1548151331.884 * * [misc]simplify: iters left: 2 (57 enodes) 1548151331.891 * * [misc]simplify: iters left: 1 (64 enodes) 1548151331.899 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151331.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151331.899 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151331.899 * * [misc]simplify: iters left: 6 (15 enodes) 1548151331.902 * * [misc]simplify: iters left: 5 (26 enodes) 1548151331.905 * * [misc]simplify: iters left: 4 (43 enodes) 1548151331.913 * * [misc]simplify: iters left: 3 (79 enodes) 1548151331.933 * * [misc]simplify: iters left: 2 (127 enodes) 1548151331.961 * * [misc]simplify: iters left: 1 (180 enodes) 1548151331.991 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151331.991 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151331.991 * * * * [misc]progress: [ 40 / 310 ] simplifiying candidate # 1548151331.991 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151331.992 * * [misc]simplify: iters left: 6 (19 enodes) 1548151331.998 * * [misc]simplify: iters left: 5 (34 enodes) 1548151332.008 * * [misc]simplify: iters left: 4 (57 enodes) 1548151332.016 * * [misc]simplify: iters left: 3 (84 enodes) 1548151332.029 * * [misc]simplify: iters left: 2 (118 enodes) 1548151332.051 * * [misc]simplify: iters left: 1 (141 enodes) 1548151332.075 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151332.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151332.076 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151332.076 * * [misc]simplify: iters left: 6 (18 enodes) 1548151332.078 * * [misc]simplify: iters left: 5 (30 enodes) 1548151332.083 * * [misc]simplify: iters left: 4 (47 enodes) 1548151332.089 * * [misc]simplify: iters left: 3 (83 enodes) 1548151332.100 * * [misc]simplify: iters left: 2 (131 enodes) 1548151332.125 * * [misc]simplify: iters left: 1 (184 enodes) 1548151332.172 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151332.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151332.172 * * * * [misc]progress: [ 41 / 310 ] simplifiying candidate # 1548151332.172 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151332.172 * * [misc]simplify: iters left: 6 (18 enodes) 1548151332.175 * * [misc]simplify: iters left: 5 (29 enodes) 1548151332.179 * * [misc]simplify: iters left: 4 (41 enodes) 1548151332.185 * * [misc]simplify: iters left: 3 (55 enodes) 1548151332.192 * * [misc]simplify: iters left: 2 (60 enodes) 1548151332.199 * * [misc]simplify: iters left: 1 (67 enodes) 1548151332.213 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151332.213 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151332.213 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151332.213 * * [misc]simplify: iters left: 6 (18 enodes) 1548151332.219 * * [misc]simplify: iters left: 5 (30 enodes) 1548151332.227 * * [misc]simplify: iters left: 4 (47 enodes) 1548151332.236 * * [misc]simplify: iters left: 3 (83 enodes) 1548151332.247 * * [misc]simplify: iters left: 2 (131 enodes) 1548151332.269 * * [misc]simplify: iters left: 1 (184 enodes) 1548151332.319 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151332.319 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151332.319 * * * * [misc]progress: [ 42 / 310 ] simplifiying candidate # 1548151332.319 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151332.319 * * [misc]simplify: iters left: 6 (12 enodes) 1548151332.321 * * [misc]simplify: iters left: 5 (22 enodes) 1548151332.325 * * [misc]simplify: iters left: 4 (35 enodes) 1548151332.330 * * [misc]simplify: iters left: 3 (57 enodes) 1548151332.339 * * [misc]simplify: iters left: 2 (124 enodes) 1548151332.391 * * [misc]simplify: iters left: 1 (186 enodes) 1548151332.408 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548151332.408 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151332.408 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151332.408 * * [misc]simplify: iters left: 6 (17 enodes) 1548151332.412 * * [misc]simplify: iters left: 5 (29 enodes) 1548151332.416 * * [misc]simplify: iters left: 4 (46 enodes) 1548151332.422 * * [misc]simplify: iters left: 3 (82 enodes) 1548151332.437 * * [misc]simplify: iters left: 2 (130 enodes) 1548151332.471 * * [misc]simplify: iters left: 1 (183 enodes) 1548151332.501 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151332.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151332.501 * * * * [misc]progress: [ 43 / 310 ] simplifiying candidate # 1548151332.501 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151332.501 * * [misc]simplify: iters left: 6 (14 enodes) 1548151332.503 * * [misc]simplify: iters left: 5 (22 enodes) 1548151332.507 * * [misc]simplify: iters left: 4 (27 enodes) 1548151332.510 * * [misc]simplify: iters left: 3 (31 enodes) 1548151332.514 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151332.514 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151332.514 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151332.514 * * [misc]simplify: iters left: 6 (15 enodes) 1548151332.517 * * [misc]simplify: iters left: 5 (26 enodes) 1548151332.520 * * [misc]simplify: iters left: 4 (42 enodes) 1548151332.526 * * [misc]simplify: iters left: 3 (78 enodes) 1548151332.544 * * [misc]simplify: iters left: 2 (126 enodes) 1548151332.561 * * [misc]simplify: iters left: 1 (179 enodes) 1548151332.600 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151332.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151332.600 * * * * [misc]progress: [ 44 / 310 ] simplifiying candidate # 1548151332.600 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151332.600 * * [misc]simplify: iters left: 6 (14 enodes) 1548151332.605 * * [misc]simplify: iters left: 5 (22 enodes) 1548151332.610 * * [misc]simplify: iters left: 4 (27 enodes) 1548151332.617 * * [misc]simplify: iters left: 3 (31 enodes) 1548151332.623 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151332.623 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151332.623 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151332.623 * * [misc]simplify: iters left: 6 (15 enodes) 1548151332.625 * * [misc]simplify: iters left: 5 (26 enodes) 1548151332.629 * * [misc]simplify: iters left: 4 (42 enodes) 1548151332.635 * * [misc]simplify: iters left: 3 (78 enodes) 1548151332.644 * * [misc]simplify: iters left: 2 (126 enodes) 1548151332.666 * * [misc]simplify: iters left: 1 (179 enodes) 1548151332.718 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151332.718 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151332.718 * * * * [misc]progress: [ 45 / 310 ] simplifiying candidate # 1548151332.718 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151332.718 * * [misc]simplify: iters left: 6 (15 enodes) 1548151332.723 * * [misc]simplify: iters left: 5 (23 enodes) 1548151332.729 * * [misc]simplify: iters left: 4 (31 enodes) 1548151332.737 * * [misc]simplify: iters left: 3 (35 enodes) 1548151332.746 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548151332.746 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151332.746 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151332.746 * * [misc]simplify: iters left: 6 (15 enodes) 1548151332.750 * * [misc]simplify: iters left: 5 (26 enodes) 1548151332.758 * * [misc]simplify: iters left: 4 (43 enodes) 1548151332.769 * * [misc]simplify: iters left: 3 (79 enodes) 1548151332.788 * * [misc]simplify: iters left: 2 (127 enodes) 1548151332.822 * * [misc]simplify: iters left: 1 (180 enodes) 1548151332.875 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151332.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151332.875 * * * * [misc]progress: [ 46 / 310 ] simplifiying candidate # 1548151332.875 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151332.875 * * [misc]simplify: iters left: 6 (18 enodes) 1548151332.881 * * [misc]simplify: iters left: 5 (29 enodes) 1548151332.890 * * [misc]simplify: iters left: 4 (39 enodes) 1548151332.901 * * [misc]simplify: iters left: 3 (50 enodes) 1548151332.914 * * [misc]simplify: iters left: 2 (58 enodes) 1548151332.928 * * [misc]simplify: iters left: 1 (60 enodes) 1548151332.944 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151332.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151332.944 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151332.944 * * [misc]simplify: iters left: 6 (18 enodes) 1548151332.949 * * [misc]simplify: iters left: 5 (30 enodes) 1548151332.954 * * [misc]simplify: iters left: 4 (47 enodes) 1548151332.960 * * [misc]simplify: iters left: 3 (83 enodes) 1548151332.972 * * [misc]simplify: iters left: 2 (131 enodes) 1548151333.000 * * [misc]simplify: iters left: 1 (184 enodes) 1548151333.047 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151333.048 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151333.048 * * * * [misc]progress: [ 47 / 310 ] simplifiying candidate # 1548151333.048 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151333.048 * * [misc]simplify: iters left: 6 (17 enodes) 1548151333.051 * * [misc]simplify: iters left: 5 (26 enodes) 1548151333.055 * * [misc]simplify: iters left: 4 (34 enodes) 1548151333.059 * * [misc]simplify: iters left: 3 (38 enodes) 1548151333.064 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151333.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151333.064 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151333.064 * * [misc]simplify: iters left: 6 (18 enodes) 1548151333.069 * * [misc]simplify: iters left: 5 (30 enodes) 1548151333.073 * * [misc]simplify: iters left: 4 (47 enodes) 1548151333.087 * * [misc]simplify: iters left: 3 (83 enodes) 1548151333.107 * * [misc]simplify: iters left: 2 (131 enodes) 1548151333.125 * * [misc]simplify: iters left: 1 (184 enodes) 1548151333.161 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151333.161 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151333.161 * * * * [misc]progress: [ 48 / 310 ] simplifiying candidate # 1548151333.161 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1548151333.162 * * [misc]simplify: iters left: 6 (11 enodes) 1548151333.167 * * [misc]simplify: iters left: 5 (19 enodes) 1548151333.173 * * [misc]simplify: iters left: 4 (28 enodes) 1548151333.180 * * [misc]simplify: iters left: 3 (32 enodes) 1548151333.186 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548151333.186 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151333.187 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151333.187 * * [misc]simplify: iters left: 6 (17 enodes) 1548151333.192 * * [misc]simplify: iters left: 5 (29 enodes) 1548151333.201 * * [misc]simplify: iters left: 4 (46 enodes) 1548151333.207 * * [misc]simplify: iters left: 3 (82 enodes) 1548151333.217 * * [misc]simplify: iters left: 2 (130 enodes) 1548151333.237 * * [misc]simplify: iters left: 1 (183 enodes) 1548151333.270 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151333.270 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151333.271 * * * * [misc]progress: [ 49 / 310 ] simplifiying candidate # 1548151333.271 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1548151333.271 * * [misc]simplify: iters left: 6 (12 enodes) 1548151333.273 * * [misc]simplify: iters left: 5 (22 enodes) 1548151333.275 * * [misc]simplify: iters left: 4 (26 enodes) 1548151333.281 * * [misc]simplify: iters left: 3 (37 enodes) 1548151333.290 * * [misc]simplify: iters left: 2 (42 enodes) 1548151333.296 * * [misc]simplify: iters left: 1 (51 enodes) 1548151333.302 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548151333.302 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151333.302 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151333.302 * * [misc]simplify: iters left: 6 (14 enodes) 1548151333.304 * * [misc]simplify: iters left: 5 (25 enodes) 1548151333.308 * * [misc]simplify: iters left: 4 (41 enodes) 1548151333.314 * * [misc]simplify: iters left: 3 (77 enodes) 1548151333.326 * * [misc]simplify: iters left: 2 (125 enodes) 1548151333.344 * * [misc]simplify: iters left: 1 (178 enodes) 1548151333.382 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151333.382 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151333.382 * * * * [misc]progress: [ 50 / 310 ] simplifiying candidate # 1548151333.382 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1548151333.382 * * [misc]simplify: iters left: 6 (12 enodes) 1548151333.385 * * [misc]simplify: iters left: 5 (22 enodes) 1548151333.388 * * [misc]simplify: iters left: 4 (26 enodes) 1548151333.392 * * [misc]simplify: iters left: 3 (37 enodes) 1548151333.396 * * [misc]simplify: iters left: 2 (42 enodes) 1548151333.401 * * [misc]simplify: iters left: 1 (51 enodes) 1548151333.408 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548151333.408 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151333.408 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151333.408 * * [misc]simplify: iters left: 6 (14 enodes) 1548151333.410 * * [misc]simplify: iters left: 5 (25 enodes) 1548151333.414 * * [misc]simplify: iters left: 4 (41 enodes) 1548151333.423 * * [misc]simplify: iters left: 3 (77 enodes) 1548151333.433 * * [misc]simplify: iters left: 2 (125 enodes) 1548151333.462 * * [misc]simplify: iters left: 1 (178 enodes) 1548151333.509 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151333.509 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151333.509 * * * * [misc]progress: [ 51 / 310 ] simplifiying candidate # 1548151333.509 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151333.509 * * [misc]simplify: iters left: 6 (14 enodes) 1548151333.511 * * [misc]simplify: iters left: 5 (24 enodes) 1548151333.515 * * [misc]simplify: iters left: 4 (31 enodes) 1548151333.519 * * [misc]simplify: iters left: 3 (42 enodes) 1548151333.524 * * [misc]simplify: iters left: 2 (47 enodes) 1548151333.529 * * [misc]simplify: iters left: 1 (57 enodes) 1548151333.536 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1548151333.536 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151333.536 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151333.536 * * [misc]simplify: iters left: 6 (14 enodes) 1548151333.541 * * [misc]simplify: iters left: 5 (25 enodes) 1548151333.550 * * [misc]simplify: iters left: 4 (42 enodes) 1548151333.561 * * [misc]simplify: iters left: 3 (78 enodes) 1548151333.580 * * [misc]simplify: iters left: 2 (126 enodes) 1548151333.598 * * [misc]simplify: iters left: 1 (179 enodes) 1548151333.628 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1548151333.628 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))))) 1548151333.628 * * * * [misc]progress: [ 52 / 310 ] simplifiying candidate # 1548151333.629 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151333.629 * * [misc]simplify: iters left: 6 (17 enodes) 1548151333.631 * * [misc]simplify: iters left: 5 (30 enodes) 1548151333.636 * * [misc]simplify: iters left: 4 (39 enodes) 1548151333.643 * * [misc]simplify: iters left: 3 (56 enodes) 1548151333.650 * * [misc]simplify: iters left: 2 (73 enodes) 1548151333.662 * * [misc]simplify: iters left: 1 (94 enodes) 1548151333.689 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1548151333.689 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151333.689 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151333.689 * * [misc]simplify: iters left: 6 (17 enodes) 1548151333.692 * * [misc]simplify: iters left: 5 (29 enodes) 1548151333.696 * * [misc]simplify: iters left: 4 (46 enodes) 1548151333.702 * * [misc]simplify: iters left: 3 (82 enodes) 1548151333.713 * * [misc]simplify: iters left: 2 (130 enodes) 1548151333.748 * * [misc]simplify: iters left: 1 (183 enodes) 1548151333.796 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548151333.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151333.796 * * * * [misc]progress: [ 53 / 310 ] simplifiying candidate # 1548151333.797 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151333.797 * * [misc]simplify: iters left: 6 (16 enodes) 1548151333.801 * * [misc]simplify: iters left: 5 (27 enodes) 1548151333.805 * * [misc]simplify: iters left: 4 (34 enodes) 1548151333.810 * * [misc]simplify: iters left: 3 (45 enodes) 1548151333.815 * * [misc]simplify: iters left: 2 (50 enodes) 1548151333.821 * * [misc]simplify: iters left: 1 (60 enodes) 1548151333.828 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151333.828 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151333.828 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151333.829 * * [misc]simplify: iters left: 6 (17 enodes) 1548151333.834 * * [misc]simplify: iters left: 5 (29 enodes) 1548151333.841 * * [misc]simplify: iters left: 4 (46 enodes) 1548151333.850 * * [misc]simplify: iters left: 3 (82 enodes) 1548151333.863 * * [misc]simplify: iters left: 2 (130 enodes) 1548151333.886 * * [misc]simplify: iters left: 1 (183 enodes) 1548151333.923 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548151333.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151333.924 * * * * [misc]progress: [ 54 / 310 ] simplifiying candidate # 1548151333.924 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1548151333.924 * * [misc]simplify: iters left: 6 (8 enodes) 1548151333.925 * * [misc]simplify: iters left: 5 (14 enodes) 1548151333.927 * * [misc]simplify: iters left: 4 (16 enodes) 1548151333.928 * * [misc]simplify: iters left: 3 (18 enodes) 1548151333.930 * [exit]simplify: Simplified to (sqrt PI) 1548151333.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151333.931 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151333.931 * * [misc]simplify: iters left: 6 (16 enodes) 1548151333.935 * * [misc]simplify: iters left: 5 (28 enodes) 1548151333.939 * * [misc]simplify: iters left: 4 (45 enodes) 1548151333.950 * * [misc]simplify: iters left: 3 (81 enodes) 1548151333.970 * * [misc]simplify: iters left: 2 (129 enodes) 1548151334.005 * * [misc]simplify: iters left: 1 (181 enodes) 1548151334.031 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151334.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151334.032 * * * * [misc]progress: [ 55 / 310 ] simplifiying candidate # 1548151334.032 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1548151334.032 * * [misc]simplify: iters left: 6 (7 enodes) 1548151334.033 * * [misc]simplify: iters left: 5 (13 enodes) 1548151334.035 * * [misc]simplify: iters left: 4 (19 enodes) 1548151334.038 * [exit]simplify: Simplified to (sqrt PI) 1548151334.038 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151334.038 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151334.040 * * [misc]simplify: iters left: 6 (16 enodes) 1548151334.045 * * [misc]simplify: iters left: 5 (28 enodes) 1548151334.053 * * [misc]simplify: iters left: 4 (45 enodes) 1548151334.065 * * [misc]simplify: iters left: 3 (81 enodes) 1548151334.077 * * [misc]simplify: iters left: 2 (129 enodes) 1548151334.094 * * [misc]simplify: iters left: 1 (181 enodes) 1548151334.126 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151334.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151334.126 * * * * [misc]progress: [ 56 / 310 ] simplifiying candidate # 1548151334.127 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1548151334.127 * * [misc]simplify: iters left: 6 (8 enodes) 1548151334.129 * * [misc]simplify: iters left: 5 (12 enodes) 1548151334.132 * * [misc]simplify: iters left: 4 (14 enodes) 1548151334.134 * * [misc]simplify: iters left: 3 (16 enodes) 1548151334.136 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548151334.136 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151334.136 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151334.136 * * [misc]simplify: iters left: 6 (16 enodes) 1548151334.139 * * [misc]simplify: iters left: 5 (30 enodes) 1548151334.143 * * [misc]simplify: iters left: 4 (45 enodes) 1548151334.149 * * [misc]simplify: iters left: 3 (88 enodes) 1548151334.165 * * [misc]simplify: iters left: 2 (130 enodes) 1548151334.197 * * [misc]simplify: iters left: 1 (185 enodes) 1548151334.231 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1548151334.231 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1548151334.231 * * * * [misc]progress: [ 57 / 310 ] simplifiying candidate # 1548151334.231 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151334.231 * * [misc]simplify: iters left: 6 (13 enodes) 1548151334.235 * * [misc]simplify: iters left: 5 (21 enodes) 1548151334.241 * * [misc]simplify: iters left: 4 (26 enodes) 1548151334.247 * * [misc]simplify: iters left: 3 (30 enodes) 1548151334.254 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1548151334.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548151334.255 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1548151334.255 * * [misc]simplify: iters left: 6 (12 enodes) 1548151334.258 * * [misc]simplify: iters left: 5 (21 enodes) 1548151334.265 * * [misc]simplify: iters left: 4 (34 enodes) 1548151334.274 * * [misc]simplify: iters left: 3 (64 enodes) 1548151334.285 * * [misc]simplify: iters left: 2 (86 enodes) 1548151334.293 * * [misc]simplify: iters left: 1 (94 enodes) 1548151334.303 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1548151334.304 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1548151334.304 * * * * [misc]progress: [ 58 / 310 ] simplifiying candidate # 1548151334.304 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151334.304 * * [misc]simplify: iters left: 6 (17 enodes) 1548151334.306 * * [misc]simplify: iters left: 5 (26 enodes) 1548151334.310 * * [misc]simplify: iters left: 4 (31 enodes) 1548151334.316 * * [misc]simplify: iters left: 3 (33 enodes) 1548151334.324 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151334.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151334.325 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151334.325 * * [misc]simplify: iters left: 6 (17 enodes) 1548151334.328 * * [misc]simplify: iters left: 5 (27 enodes) 1548151334.332 * * [misc]simplify: iters left: 4 (41 enodes) 1548151334.339 * * [misc]simplify: iters left: 3 (71 enodes) 1548151334.347 * * [misc]simplify: iters left: 2 (93 enodes) 1548151334.357 * * [misc]simplify: iters left: 1 (101 enodes) 1548151334.375 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151334.375 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151334.375 * * * * [misc]progress: [ 59 / 310 ] simplifiying candidate # 1548151334.375 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151334.375 * * [misc]simplify: iters left: 6 (16 enodes) 1548151334.380 * * [misc]simplify: iters left: 5 (23 enodes) 1548151334.385 * * [misc]simplify: iters left: 4 (28 enodes) 1548151334.390 * * [misc]simplify: iters left: 3 (30 enodes) 1548151334.394 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151334.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151334.395 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151334.395 * * [misc]simplify: iters left: 6 (17 enodes) 1548151334.397 * * [misc]simplify: iters left: 5 (27 enodes) 1548151334.401 * * [misc]simplify: iters left: 4 (41 enodes) 1548151334.407 * * [misc]simplify: iters left: 3 (71 enodes) 1548151334.417 * * [misc]simplify: iters left: 2 (93 enodes) 1548151334.429 * * [misc]simplify: iters left: 1 (101 enodes) 1548151334.451 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151334.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151334.452 * * * * [misc]progress: [ 60 / 310 ] simplifiying candidate # 1548151334.452 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151334.452 * * [misc]simplify: iters left: 6 (15 enodes) 1548151334.457 * * [misc]simplify: iters left: 5 (25 enodes) 1548151334.464 * * [misc]simplify: iters left: 4 (34 enodes) 1548151334.474 * * [misc]simplify: iters left: 3 (48 enodes) 1548151334.486 * * [misc]simplify: iters left: 2 (53 enodes) 1548151334.499 * * [misc]simplify: iters left: 1 (60 enodes) 1548151334.514 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151334.514 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151334.514 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151334.514 * * [misc]simplify: iters left: 6 (15 enodes) 1548151334.519 * * [misc]simplify: iters left: 5 (26 enodes) 1548151334.527 * * [misc]simplify: iters left: 4 (42 enodes) 1548151334.538 * * [misc]simplify: iters left: 3 (78 enodes) 1548151334.557 * * [misc]simplify: iters left: 2 (126 enodes) 1548151334.574 * * [misc]simplify: iters left: 1 (179 enodes) 1548151334.612 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151334.612 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151334.613 * * * * [misc]progress: [ 61 / 310 ] simplifiying candidate # 1548151334.613 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151334.613 * * [misc]simplify: iters left: 6 (15 enodes) 1548151334.618 * * [misc]simplify: iters left: 5 (25 enodes) 1548151334.625 * * [misc]simplify: iters left: 4 (34 enodes) 1548151334.634 * * [misc]simplify: iters left: 3 (48 enodes) 1548151334.646 * * [misc]simplify: iters left: 2 (53 enodes) 1548151334.661 * * [misc]simplify: iters left: 1 (60 enodes) 1548151334.675 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151334.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151334.676 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151334.676 * * [misc]simplify: iters left: 6 (15 enodes) 1548151334.680 * * [misc]simplify: iters left: 5 (26 enodes) 1548151334.688 * * [misc]simplify: iters left: 4 (42 enodes) 1548151334.699 * * [misc]simplify: iters left: 3 (78 enodes) 1548151334.718 * * [misc]simplify: iters left: 2 (126 enodes) 1548151334.753 * * [misc]simplify: iters left: 1 (179 enodes) 1548151334.805 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151334.805 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151334.805 * * * * [misc]progress: [ 62 / 310 ] simplifiying candidate # 1548151334.806 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151334.806 * * [misc]simplify: iters left: 6 (16 enodes) 1548151334.811 * * [misc]simplify: iters left: 5 (26 enodes) 1548151334.816 * * [misc]simplify: iters left: 4 (38 enodes) 1548151334.821 * * [misc]simplify: iters left: 3 (52 enodes) 1548151334.828 * * [misc]simplify: iters left: 2 (57 enodes) 1548151334.834 * * [misc]simplify: iters left: 1 (64 enodes) 1548151334.843 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151334.843 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151334.843 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151334.843 * * [misc]simplify: iters left: 6 (15 enodes) 1548151334.846 * * [misc]simplify: iters left: 5 (26 enodes) 1548151334.854 * * [misc]simplify: iters left: 4 (43 enodes) 1548151334.863 * * [misc]simplify: iters left: 3 (79 enodes) 1548151334.873 * * [misc]simplify: iters left: 2 (127 enodes) 1548151334.899 * * [misc]simplify: iters left: 1 (180 enodes) 1548151334.931 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151334.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151334.931 * * * * [misc]progress: [ 63 / 310 ] simplifiying candidate # 1548151334.931 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151334.931 * * [misc]simplify: iters left: 6 (19 enodes) 1548151334.934 * * [misc]simplify: iters left: 5 (34 enodes) 1548151334.939 * * [misc]simplify: iters left: 4 (57 enodes) 1548151334.954 * * [misc]simplify: iters left: 3 (84 enodes) 1548151334.977 * * [misc]simplify: iters left: 2 (118 enodes) 1548151334.996 * * [misc]simplify: iters left: 1 (141 enodes) 1548151335.018 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151335.018 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151335.019 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151335.019 * * [misc]simplify: iters left: 6 (18 enodes) 1548151335.021 * * [misc]simplify: iters left: 5 (30 enodes) 1548151335.026 * * [misc]simplify: iters left: 4 (47 enodes) 1548151335.032 * * [misc]simplify: iters left: 3 (83 enodes) 1548151335.043 * * [misc]simplify: iters left: 2 (131 enodes) 1548151335.073 * * [misc]simplify: iters left: 1 (184 enodes) 1548151335.112 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151335.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151335.112 * * * * [misc]progress: [ 64 / 310 ] simplifiying candidate # 1548151335.112 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151335.112 * * [misc]simplify: iters left: 6 (18 enodes) 1548151335.115 * * [misc]simplify: iters left: 5 (29 enodes) 1548151335.120 * * [misc]simplify: iters left: 4 (41 enodes) 1548151335.125 * * [misc]simplify: iters left: 3 (55 enodes) 1548151335.136 * * [misc]simplify: iters left: 2 (60 enodes) 1548151335.149 * * [misc]simplify: iters left: 1 (67 enodes) 1548151335.168 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151335.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151335.168 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151335.168 * * [misc]simplify: iters left: 6 (18 enodes) 1548151335.174 * * [misc]simplify: iters left: 5 (30 enodes) 1548151335.183 * * [misc]simplify: iters left: 4 (47 enodes) 1548151335.196 * * [misc]simplify: iters left: 3 (83 enodes) 1548151335.216 * * [misc]simplify: iters left: 2 (131 enodes) 1548151335.250 * * [misc]simplify: iters left: 1 (184 enodes) 1548151335.301 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151335.301 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151335.301 * * * * [misc]progress: [ 65 / 310 ] simplifiying candidate # 1548151335.303 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151335.303 * * [misc]simplify: iters left: 6 (12 enodes) 1548151335.307 * * [misc]simplify: iters left: 5 (22 enodes) 1548151335.313 * * [misc]simplify: iters left: 4 (35 enodes) 1548151335.323 * * [misc]simplify: iters left: 3 (57 enodes) 1548151335.339 * * [misc]simplify: iters left: 2 (124 enodes) 1548151335.393 * * [misc]simplify: iters left: 1 (186 enodes) 1548151335.412 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548151335.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151335.412 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151335.412 * * [misc]simplify: iters left: 6 (17 enodes) 1548151335.415 * * [misc]simplify: iters left: 5 (29 enodes) 1548151335.420 * * [misc]simplify: iters left: 4 (46 enodes) 1548151335.427 * * [misc]simplify: iters left: 3 (82 enodes) 1548151335.437 * * [misc]simplify: iters left: 2 (130 enodes) 1548151335.455 * * [misc]simplify: iters left: 1 (183 enodes) 1548151335.489 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548151335.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548151335.489 * * * * [misc]progress: [ 66 / 310 ] simplifiying candidate # 1548151335.489 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151335.490 * * [misc]simplify: iters left: 6 (14 enodes) 1548151335.494 * * [misc]simplify: iters left: 5 (22 enodes) 1548151335.500 * * [misc]simplify: iters left: 4 (27 enodes) 1548151335.509 * * [misc]simplify: iters left: 3 (31 enodes) 1548151335.516 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151335.516 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151335.516 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151335.516 * * [misc]simplify: iters left: 6 (15 enodes) 1548151335.521 * * [misc]simplify: iters left: 5 (26 enodes) 1548151335.528 * * [misc]simplify: iters left: 4 (42 enodes) 1548151335.540 * * [misc]simplify: iters left: 3 (78 enodes) 1548151335.559 * * [misc]simplify: iters left: 2 (126 enodes) 1548151335.590 * * [misc]simplify: iters left: 1 (179 enodes) 1548151335.616 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151335.616 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151335.616 * * * * [misc]progress: [ 67 / 310 ] simplifiying candidate # 1548151335.617 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151335.617 * * [misc]simplify: iters left: 6 (14 enodes) 1548151335.619 * * [misc]simplify: iters left: 5 (22 enodes) 1548151335.622 * * [misc]simplify: iters left: 4 (27 enodes) 1548151335.625 * * [misc]simplify: iters left: 3 (31 enodes) 1548151335.629 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151335.629 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151335.629 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151335.629 * * [misc]simplify: iters left: 6 (15 enodes) 1548151335.632 * * [misc]simplify: iters left: 5 (26 enodes) 1548151335.635 * * [misc]simplify: iters left: 4 (42 enodes) 1548151335.641 * * [misc]simplify: iters left: 3 (78 enodes) 1548151335.651 * * [misc]simplify: iters left: 2 (126 enodes) 1548151335.668 * * [misc]simplify: iters left: 1 (179 enodes) 1548151335.698 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151335.699 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151335.699 * * * * [misc]progress: [ 68 / 310 ] simplifiying candidate # 1548151335.699 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151335.699 * * [misc]simplify: iters left: 6 (15 enodes) 1548151335.701 * * [misc]simplify: iters left: 5 (23 enodes) 1548151335.704 * * [misc]simplify: iters left: 4 (31 enodes) 1548151335.712 * * [misc]simplify: iters left: 3 (35 enodes) 1548151335.720 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548151335.720 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151335.721 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151335.721 * * [misc]simplify: iters left: 6 (15 enodes) 1548151335.725 * * [misc]simplify: iters left: 5 (26 enodes) 1548151335.729 * * [misc]simplify: iters left: 4 (43 enodes) 1548151335.735 * * [misc]simplify: iters left: 3 (79 enodes) 1548151335.745 * * [misc]simplify: iters left: 2 (127 enodes) 1548151335.767 * * [misc]simplify: iters left: 1 (180 enodes) 1548151335.804 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151335.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151335.804 * * * * [misc]progress: [ 69 / 310 ] simplifiying candidate # 1548151335.804 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151335.804 * * [misc]simplify: iters left: 6 (18 enodes) 1548151335.807 * * [misc]simplify: iters left: 5 (29 enodes) 1548151335.811 * * [misc]simplify: iters left: 4 (39 enodes) 1548151335.817 * * [misc]simplify: iters left: 3 (50 enodes) 1548151335.824 * * [misc]simplify: iters left: 2 (58 enodes) 1548151335.831 * * [misc]simplify: iters left: 1 (60 enodes) 1548151335.838 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151335.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151335.839 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151335.839 * * [misc]simplify: iters left: 6 (18 enodes) 1548151335.842 * * [misc]simplify: iters left: 5 (30 enodes) 1548151335.848 * * [misc]simplify: iters left: 4 (47 enodes) 1548151335.859 * * [misc]simplify: iters left: 3 (83 enodes) 1548151335.871 * * [misc]simplify: iters left: 2 (131 enodes) 1548151335.889 * * [misc]simplify: iters left: 1 (184 enodes) 1548151335.939 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151335.939 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151335.939 * * * * [misc]progress: [ 70 / 310 ] simplifiying candidate # 1548151335.939 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151335.940 * * [misc]simplify: iters left: 6 (17 enodes) 1548151335.944 * * [misc]simplify: iters left: 5 (26 enodes) 1548151335.951 * * [misc]simplify: iters left: 4 (34 enodes) 1548151335.960 * * [misc]simplify: iters left: 3 (38 enodes) 1548151335.965 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151335.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151335.965 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151335.965 * * [misc]simplify: iters left: 6 (18 enodes) 1548151335.968 * * [misc]simplify: iters left: 5 (30 enodes) 1548151335.977 * * [misc]simplify: iters left: 4 (47 enodes) 1548151335.990 * * [misc]simplify: iters left: 3 (83 enodes) 1548151336.005 * * [misc]simplify: iters left: 2 (131 enodes) 1548151336.023 * * [misc]simplify: iters left: 1 (184 enodes) 1548151336.073 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151336.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151336.073 * * * * [misc]progress: [ 71 / 310 ] simplifiying candidate # 1548151336.073 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1548151336.073 * * [misc]simplify: iters left: 6 (11 enodes) 1548151336.077 * * [misc]simplify: iters left: 5 (19 enodes) 1548151336.085 * * [misc]simplify: iters left: 4 (28 enodes) 1548151336.091 * * [misc]simplify: iters left: 3 (32 enodes) 1548151336.097 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548151336.097 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151336.097 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151336.097 * * [misc]simplify: iters left: 6 (17 enodes) 1548151336.100 * * [misc]simplify: iters left: 5 (29 enodes) 1548151336.104 * * [misc]simplify: iters left: 4 (46 enodes) 1548151336.110 * * [misc]simplify: iters left: 3 (82 enodes) 1548151336.121 * * [misc]simplify: iters left: 2 (130 enodes) 1548151336.147 * * [misc]simplify: iters left: 1 (183 enodes) 1548151336.174 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548151336.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548151336.174 * * * * [misc]progress: [ 72 / 310 ] simplifiying candidate # 1548151336.174 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1548151336.175 * * [misc]simplify: iters left: 6 (12 enodes) 1548151336.177 * * [misc]simplify: iters left: 5 (22 enodes) 1548151336.182 * * [misc]simplify: iters left: 4 (26 enodes) 1548151336.189 * * [misc]simplify: iters left: 3 (37 enodes) 1548151336.198 * * [misc]simplify: iters left: 2 (42 enodes) 1548151336.207 * * [misc]simplify: iters left: 1 (51 enodes) 1548151336.218 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548151336.218 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151336.219 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151336.219 * * [misc]simplify: iters left: 6 (14 enodes) 1548151336.223 * * [misc]simplify: iters left: 5 (25 enodes) 1548151336.230 * * [misc]simplify: iters left: 4 (41 enodes) 1548151336.242 * * [misc]simplify: iters left: 3 (77 enodes) 1548151336.262 * * [misc]simplify: iters left: 2 (125 enodes) 1548151336.283 * * [misc]simplify: iters left: 1 (178 enodes) 1548151336.317 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151336.317 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151336.317 * * * * [misc]progress: [ 73 / 310 ] simplifiying candidate # 1548151336.317 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1548151336.317 * * [misc]simplify: iters left: 6 (12 enodes) 1548151336.321 * * [misc]simplify: iters left: 5 (22 enodes) 1548151336.327 * * [misc]simplify: iters left: 4 (26 enodes) 1548151336.334 * * [misc]simplify: iters left: 3 (37 enodes) 1548151336.342 * * [misc]simplify: iters left: 2 (42 enodes) 1548151336.350 * * [misc]simplify: iters left: 1 (51 enodes) 1548151336.356 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548151336.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151336.356 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151336.356 * * [misc]simplify: iters left: 6 (14 enodes) 1548151336.358 * * [misc]simplify: iters left: 5 (25 enodes) 1548151336.362 * * [misc]simplify: iters left: 4 (41 enodes) 1548151336.368 * * [misc]simplify: iters left: 3 (77 enodes) 1548151336.378 * * [misc]simplify: iters left: 2 (125 enodes) 1548151336.408 * * [misc]simplify: iters left: 1 (178 enodes) 1548151336.442 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151336.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151336.442 * * * * [misc]progress: [ 74 / 310 ] simplifiying candidate # 1548151336.443 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151336.443 * * [misc]simplify: iters left: 6 (14 enodes) 1548151336.445 * * [misc]simplify: iters left: 5 (24 enodes) 1548151336.449 * * [misc]simplify: iters left: 4 (31 enodes) 1548151336.453 * * [misc]simplify: iters left: 3 (42 enodes) 1548151336.458 * * [misc]simplify: iters left: 2 (47 enodes) 1548151336.463 * * [misc]simplify: iters left: 1 (57 enodes) 1548151336.476 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1548151336.476 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151336.476 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151336.476 * * [misc]simplify: iters left: 6 (14 enodes) 1548151336.481 * * [misc]simplify: iters left: 5 (25 enodes) 1548151336.490 * * [misc]simplify: iters left: 4 (42 enodes) 1548151336.502 * * [misc]simplify: iters left: 3 (78 enodes) 1548151336.515 * * [misc]simplify: iters left: 2 (126 enodes) 1548151336.532 * * [misc]simplify: iters left: 1 (179 enodes) 1548151336.570 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1548151336.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))))) 1548151336.570 * * * * [misc]progress: [ 75 / 310 ] simplifiying candidate # 1548151336.571 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151336.571 * * [misc]simplify: iters left: 6 (17 enodes) 1548151336.573 * * [misc]simplify: iters left: 5 (30 enodes) 1548151336.578 * * [misc]simplify: iters left: 4 (39 enodes) 1548151336.586 * * [misc]simplify: iters left: 3 (56 enodes) 1548151336.593 * * [misc]simplify: iters left: 2 (73 enodes) 1548151336.613 * * [misc]simplify: iters left: 1 (94 enodes) 1548151336.642 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1548151336.642 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151336.643 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151336.643 * * [misc]simplify: iters left: 6 (17 enodes) 1548151336.648 * * [misc]simplify: iters left: 5 (29 enodes) 1548151336.656 * * [misc]simplify: iters left: 4 (46 enodes) 1548151336.669 * * [misc]simplify: iters left: 3 (82 enodes) 1548151336.689 * * [misc]simplify: iters left: 2 (130 enodes) 1548151336.711 * * [misc]simplify: iters left: 1 (183 enodes) 1548151336.743 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548151336.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151336.743 * * * * [misc]progress: [ 76 / 310 ] simplifiying candidate # 1548151336.744 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151336.744 * * [misc]simplify: iters left: 6 (16 enodes) 1548151336.747 * * [misc]simplify: iters left: 5 (27 enodes) 1548151336.750 * * [misc]simplify: iters left: 4 (34 enodes) 1548151336.755 * * [misc]simplify: iters left: 3 (45 enodes) 1548151336.760 * * [misc]simplify: iters left: 2 (50 enodes) 1548151336.768 * * [misc]simplify: iters left: 1 (60 enodes) 1548151336.782 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151336.782 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151336.782 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151336.782 * * [misc]simplify: iters left: 6 (17 enodes) 1548151336.788 * * [misc]simplify: iters left: 5 (29 enodes) 1548151336.796 * * [misc]simplify: iters left: 4 (46 enodes) 1548151336.811 * * [misc]simplify: iters left: 3 (82 enodes) 1548151336.831 * * [misc]simplify: iters left: 2 (130 enodes) 1548151336.865 * * [misc]simplify: iters left: 1 (183 enodes) 1548151336.892 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548151336.892 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151336.892 * * * * [misc]progress: [ 77 / 310 ] simplifiying candidate # 1548151336.892 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1548151336.892 * * [misc]simplify: iters left: 6 (8 enodes) 1548151336.893 * * [misc]simplify: iters left: 5 (14 enodes) 1548151336.895 * * [misc]simplify: iters left: 4 (16 enodes) 1548151336.897 * * [misc]simplify: iters left: 3 (18 enodes) 1548151336.899 * [exit]simplify: Simplified to (sqrt PI) 1548151336.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151336.899 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151336.899 * * [misc]simplify: iters left: 6 (16 enodes) 1548151336.901 * * [misc]simplify: iters left: 5 (28 enodes) 1548151336.907 * * [misc]simplify: iters left: 4 (45 enodes) 1548151336.913 * * [misc]simplify: iters left: 3 (81 enodes) 1548151336.923 * * [misc]simplify: iters left: 2 (129 enodes) 1548151336.953 * * [misc]simplify: iters left: 1 (181 enodes) 1548151337.004 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151337.004 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151337.004 * * * * [misc]progress: [ 78 / 310 ] simplifiying candidate # 1548151337.004 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1548151337.004 * * [misc]simplify: iters left: 6 (7 enodes) 1548151337.007 * * [misc]simplify: iters left: 5 (13 enodes) 1548151337.011 * * [misc]simplify: iters left: 4 (19 enodes) 1548151337.015 * [exit]simplify: Simplified to (sqrt PI) 1548151337.015 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151337.015 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151337.016 * * [misc]simplify: iters left: 6 (16 enodes) 1548151337.021 * * [misc]simplify: iters left: 5 (28 enodes) 1548151337.031 * * [misc]simplify: iters left: 4 (45 enodes) 1548151337.044 * * [misc]simplify: iters left: 3 (81 enodes) 1548151337.065 * * [misc]simplify: iters left: 2 (129 enodes) 1548151337.095 * * [misc]simplify: iters left: 1 (181 enodes) 1548151337.119 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151337.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151337.120 * * * * [misc]progress: [ 79 / 310 ] simplifiying candidate # 1548151337.120 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1548151337.120 * * [misc]simplify: iters left: 6 (8 enodes) 1548151337.122 * * [misc]simplify: iters left: 5 (12 enodes) 1548151337.125 * * [misc]simplify: iters left: 4 (14 enodes) 1548151337.129 * * [misc]simplify: iters left: 3 (16 enodes) 1548151337.135 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548151337.135 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151337.135 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151337.136 * * [misc]simplify: iters left: 6 (16 enodes) 1548151337.140 * * [misc]simplify: iters left: 5 (30 enodes) 1548151337.149 * * [misc]simplify: iters left: 4 (45 enodes) 1548151337.163 * * [misc]simplify: iters left: 3 (88 enodes) 1548151337.185 * * [misc]simplify: iters left: 2 (130 enodes) 1548151337.216 * * [misc]simplify: iters left: 1 (185 enodes) 1548151337.245 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1548151337.245 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1548151337.245 * * * * [misc]progress: [ 80 / 310 ] simplifiying candidate # 1548151337.246 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151337.246 * * [misc]simplify: iters left: 6 (13 enodes) 1548151337.248 * * [misc]simplify: iters left: 5 (21 enodes) 1548151337.250 * * [misc]simplify: iters left: 4 (26 enodes) 1548151337.254 * * [misc]simplify: iters left: 3 (30 enodes) 1548151337.258 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1548151337.258 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548151337.258 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1548151337.258 * * [misc]simplify: iters left: 6 (12 enodes) 1548151337.260 * * [misc]simplify: iters left: 5 (21 enodes) 1548151337.265 * * [misc]simplify: iters left: 4 (34 enodes) 1548151337.274 * * [misc]simplify: iters left: 3 (64 enodes) 1548151337.289 * * [misc]simplify: iters left: 2 (86 enodes) 1548151337.308 * * [misc]simplify: iters left: 1 (94 enodes) 1548151337.327 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1548151337.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1548151337.328 * * * * [misc]progress: [ 81 / 310 ] simplifiying candidate # 1548151337.328 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151337.328 * * [misc]simplify: iters left: 6 (17 enodes) 1548151337.334 * * [misc]simplify: iters left: 5 (25 enodes) 1548151337.341 * * [misc]simplify: iters left: 4 (29 enodes) 1548151337.350 * * [misc]simplify: iters left: 3 (32 enodes) 1548151337.355 * * [misc]simplify: iters left: 2 (33 enodes) 1548151337.361 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151337.361 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151337.361 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151337.362 * * [misc]simplify: iters left: 6 (17 enodes) 1548151337.364 * * [misc]simplify: iters left: 5 (26 enodes) 1548151337.368 * * [misc]simplify: iters left: 4 (45 enodes) 1548151337.374 * * [misc]simplify: iters left: 3 (74 enodes) 1548151337.383 * * [misc]simplify: iters left: 2 (90 enodes) 1548151337.396 * * [misc]simplify: iters left: 1 (100 enodes) 1548151337.408 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151337.408 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151337.408 * * * * [misc]progress: [ 82 / 310 ] simplifiying candidate # 1548151337.408 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151337.408 * * [misc]simplify: iters left: 6 (16 enodes) 1548151337.411 * * [misc]simplify: iters left: 5 (22 enodes) 1548151337.414 * * [misc]simplify: iters left: 4 (26 enodes) 1548151337.418 * * [misc]simplify: iters left: 3 (29 enodes) 1548151337.422 * * [misc]simplify: iters left: 2 (30 enodes) 1548151337.427 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151337.428 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151337.428 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151337.428 * * [misc]simplify: iters left: 6 (17 enodes) 1548151337.433 * * [misc]simplify: iters left: 5 (26 enodes) 1548151337.440 * * [misc]simplify: iters left: 4 (45 enodes) 1548151337.454 * * [misc]simplify: iters left: 3 (74 enodes) 1548151337.464 * * [misc]simplify: iters left: 2 (90 enodes) 1548151337.474 * * [misc]simplify: iters left: 1 (100 enodes) 1548151337.495 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151337.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151337.495 * * * * [misc]progress: [ 83 / 310 ] simplifiying candidate # 1548151337.495 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151337.495 * * [misc]simplify: iters left: 6 (15 enodes) 1548151337.501 * * [misc]simplify: iters left: 5 (24 enodes) 1548151337.506 * * [misc]simplify: iters left: 4 (32 enodes) 1548151337.511 * * [misc]simplify: iters left: 3 (47 enodes) 1548151337.517 * * [misc]simplify: iters left: 2 (53 enodes) 1548151337.523 * * [misc]simplify: iters left: 1 (60 enodes) 1548151337.531 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1548151337.531 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151337.531 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151337.531 * * [misc]simplify: iters left: 6 (15 enodes) 1548151337.535 * * [misc]simplify: iters left: 5 (25 enodes) 1548151337.542 * * [misc]simplify: iters left: 4 (46 enodes) 1548151337.558 * * [misc]simplify: iters left: 3 (81 enodes) 1548151337.578 * * [misc]simplify: iters left: 2 (123 enodes) 1548151337.609 * * [misc]simplify: iters left: 1 (177 enodes) 1548151337.658 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151337.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151337.658 * * * * [misc]progress: [ 84 / 310 ] simplifiying candidate # 1548151337.658 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151337.658 * * [misc]simplify: iters left: 6 (15 enodes) 1548151337.664 * * [misc]simplify: iters left: 5 (24 enodes) 1548151337.671 * * [misc]simplify: iters left: 4 (32 enodes) 1548151337.680 * * [misc]simplify: iters left: 3 (47 enodes) 1548151337.696 * * [misc]simplify: iters left: 2 (53 enodes) 1548151337.707 * * [misc]simplify: iters left: 1 (60 enodes) 1548151337.714 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1548151337.714 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151337.714 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151337.714 * * [misc]simplify: iters left: 6 (15 enodes) 1548151337.716 * * [misc]simplify: iters left: 5 (25 enodes) 1548151337.720 * * [misc]simplify: iters left: 4 (46 enodes) 1548151337.727 * * [misc]simplify: iters left: 3 (81 enodes) 1548151337.738 * * [misc]simplify: iters left: 2 (123 enodes) 1548151337.763 * * [misc]simplify: iters left: 1 (177 enodes) 1548151337.789 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151337.789 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151337.789 * * * * [misc]progress: [ 85 / 310 ] simplifiying candidate # 1548151337.789 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151337.789 * * [misc]simplify: iters left: 6 (16 enodes) 1548151337.792 * * [misc]simplify: iters left: 5 (25 enodes) 1548151337.796 * * [misc]simplify: iters left: 4 (36 enodes) 1548151337.802 * * [misc]simplify: iters left: 3 (51 enodes) 1548151337.809 * * [misc]simplify: iters left: 2 (57 enodes) 1548151337.816 * * [misc]simplify: iters left: 1 (64 enodes) 1548151337.831 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1548151337.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151337.831 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151337.831 * * [misc]simplify: iters left: 6 (15 enodes) 1548151337.836 * * [misc]simplify: iters left: 5 (25 enodes) 1548151337.843 * * [misc]simplify: iters left: 4 (47 enodes) 1548151337.857 * * [misc]simplify: iters left: 3 (82 enodes) 1548151337.876 * * [misc]simplify: iters left: 2 (124 enodes) 1548151337.911 * * [misc]simplify: iters left: 1 (178 enodes) 1548151337.941 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151337.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151337.941 * * * * [misc]progress: [ 86 / 310 ] simplifiying candidate # 1548151337.941 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151337.941 * * [misc]simplify: iters left: 6 (19 enodes) 1548151337.944 * * [misc]simplify: iters left: 5 (33 enodes) 1548151337.949 * * [misc]simplify: iters left: 4 (55 enodes) 1548151337.963 * * [misc]simplify: iters left: 3 (83 enodes) 1548151337.988 * * [misc]simplify: iters left: 2 (118 enodes) 1548151338.025 * * [misc]simplify: iters left: 1 (141 enodes) 1548151338.052 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) 1548151338.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151338.052 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151338.052 * * [misc]simplify: iters left: 6 (18 enodes) 1548151338.055 * * [misc]simplify: iters left: 5 (29 enodes) 1548151338.059 * * [misc]simplify: iters left: 4 (51 enodes) 1548151338.066 * * [misc]simplify: iters left: 3 (86 enodes) 1548151338.077 * * [misc]simplify: iters left: 2 (128 enodes) 1548151338.095 * * [misc]simplify: iters left: 1 (183 enodes) 1548151338.121 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151338.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151338.121 * * * * [misc]progress: [ 87 / 310 ] simplifiying candidate # 1548151338.121 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151338.121 * * [misc]simplify: iters left: 6 (18 enodes) 1548151338.124 * * [misc]simplify: iters left: 5 (28 enodes) 1548151338.128 * * [misc]simplify: iters left: 4 (39 enodes) 1548151338.135 * * [misc]simplify: iters left: 3 (54 enodes) 1548151338.146 * * [misc]simplify: iters left: 2 (60 enodes) 1548151338.154 * * [misc]simplify: iters left: 1 (67 enodes) 1548151338.163 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1548151338.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151338.164 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151338.164 * * [misc]simplify: iters left: 6 (18 enodes) 1548151338.166 * * [misc]simplify: iters left: 5 (29 enodes) 1548151338.171 * * [misc]simplify: iters left: 4 (51 enodes) 1548151338.183 * * [misc]simplify: iters left: 3 (86 enodes) 1548151338.198 * * [misc]simplify: iters left: 2 (128 enodes) 1548151338.215 * * [misc]simplify: iters left: 1 (183 enodes) 1548151338.266 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151338.267 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151338.267 * * * * [misc]progress: [ 88 / 310 ] simplifiying candidate # 1548151338.267 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151338.267 * * [misc]simplify: iters left: 6 (12 enodes) 1548151338.272 * * [misc]simplify: iters left: 5 (21 enodes) 1548151338.279 * * [misc]simplify: iters left: 4 (33 enodes) 1548151338.288 * * [misc]simplify: iters left: 3 (56 enodes) 1548151338.306 * * [misc]simplify: iters left: 2 (119 enodes) 1548151338.332 * * [misc]simplify: iters left: 1 (173 enodes) 1548151338.357 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548151338.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151338.358 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151338.358 * * [misc]simplify: iters left: 6 (17 enodes) 1548151338.363 * * [misc]simplify: iters left: 5 (28 enodes) 1548151338.372 * * [misc]simplify: iters left: 4 (50 enodes) 1548151338.388 * * [misc]simplify: iters left: 3 (85 enodes) 1548151338.409 * * [misc]simplify: iters left: 2 (127 enodes) 1548151338.441 * * [misc]simplify: iters left: 1 (181 enodes) 1548151338.480 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151338.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151338.481 * * * * [misc]progress: [ 89 / 310 ] simplifiying candidate # 1548151338.481 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151338.481 * * [misc]simplify: iters left: 6 (14 enodes) 1548151338.483 * * [misc]simplify: iters left: 5 (21 enodes) 1548151338.487 * * [misc]simplify: iters left: 4 (25 enodes) 1548151338.491 * * [misc]simplify: iters left: 3 (30 enodes) 1548151338.497 * * [misc]simplify: iters left: 2 (31 enodes) 1548151338.500 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151338.500 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151338.501 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151338.501 * * [misc]simplify: iters left: 6 (15 enodes) 1548151338.503 * * [misc]simplify: iters left: 5 (25 enodes) 1548151338.507 * * [misc]simplify: iters left: 4 (46 enodes) 1548151338.513 * * [misc]simplify: iters left: 3 (81 enodes) 1548151338.529 * * [misc]simplify: iters left: 2 (123 enodes) 1548151338.554 * * [misc]simplify: iters left: 1 (177 enodes) 1548151338.579 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151338.579 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151338.579 * * * * [misc]progress: [ 90 / 310 ] simplifiying candidate # 1548151338.579 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151338.579 * * [misc]simplify: iters left: 6 (14 enodes) 1548151338.583 * * [misc]simplify: iters left: 5 (21 enodes) 1548151338.590 * * [misc]simplify: iters left: 4 (25 enodes) 1548151338.597 * * [misc]simplify: iters left: 3 (30 enodes) 1548151338.605 * * [misc]simplify: iters left: 2 (31 enodes) 1548151338.612 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151338.612 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151338.612 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151338.613 * * [misc]simplify: iters left: 6 (15 enodes) 1548151338.617 * * [misc]simplify: iters left: 5 (25 enodes) 1548151338.624 * * [misc]simplify: iters left: 4 (46 enodes) 1548151338.637 * * [misc]simplify: iters left: 3 (81 enodes) 1548151338.649 * * [misc]simplify: iters left: 2 (123 enodes) 1548151338.665 * * [misc]simplify: iters left: 1 (177 enodes) 1548151338.711 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151338.711 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151338.711 * * * * [misc]progress: [ 91 / 310 ] simplifiying candidate # 1548151338.711 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151338.711 * * [misc]simplify: iters left: 6 (15 enodes) 1548151338.717 * * [misc]simplify: iters left: 5 (22 enodes) 1548151338.723 * * [misc]simplify: iters left: 4 (29 enodes) 1548151338.731 * * [misc]simplify: iters left: 3 (34 enodes) 1548151338.740 * * [misc]simplify: iters left: 2 (35 enodes) 1548151338.744 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151338.745 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151338.745 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151338.745 * * [misc]simplify: iters left: 6 (15 enodes) 1548151338.747 * * [misc]simplify: iters left: 5 (25 enodes) 1548151338.751 * * [misc]simplify: iters left: 4 (47 enodes) 1548151338.757 * * [misc]simplify: iters left: 3 (82 enodes) 1548151338.767 * * [misc]simplify: iters left: 2 (124 enodes) 1548151338.794 * * [misc]simplify: iters left: 1 (178 enodes) 1548151338.843 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151338.844 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151338.844 * * * * [misc]progress: [ 92 / 310 ] simplifiying candidate # 1548151338.844 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151338.844 * * [misc]simplify: iters left: 6 (18 enodes) 1548151338.850 * * [misc]simplify: iters left: 5 (28 enodes) 1548151338.858 * * [misc]simplify: iters left: 4 (37 enodes) 1548151338.869 * * [misc]simplify: iters left: 3 (49 enodes) 1548151338.882 * * [misc]simplify: iters left: 2 (58 enodes) 1548151338.895 * * [misc]simplify: iters left: 1 (60 enodes) 1548151338.910 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1548151338.910 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151338.910 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151338.910 * * [misc]simplify: iters left: 6 (18 enodes) 1548151338.916 * * [misc]simplify: iters left: 5 (29 enodes) 1548151338.924 * * [misc]simplify: iters left: 4 (51 enodes) 1548151338.940 * * [misc]simplify: iters left: 3 (86 enodes) 1548151338.960 * * [misc]simplify: iters left: 2 (128 enodes) 1548151338.993 * * [misc]simplify: iters left: 1 (183 enodes) 1548151339.042 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151339.042 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151339.042 * * * * [misc]progress: [ 93 / 310 ] simplifiying candidate # 1548151339.043 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151339.043 * * [misc]simplify: iters left: 6 (17 enodes) 1548151339.049 * * [misc]simplify: iters left: 5 (25 enodes) 1548151339.052 * * [misc]simplify: iters left: 4 (32 enodes) 1548151339.058 * * [misc]simplify: iters left: 3 (37 enodes) 1548151339.064 * * [misc]simplify: iters left: 2 (38 enodes) 1548151339.069 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151339.069 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151339.070 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151339.070 * * [misc]simplify: iters left: 6 (18 enodes) 1548151339.075 * * [misc]simplify: iters left: 5 (29 enodes) 1548151339.084 * * [misc]simplify: iters left: 4 (51 enodes) 1548151339.092 * * [misc]simplify: iters left: 3 (86 enodes) 1548151339.102 * * [misc]simplify: iters left: 2 (128 enodes) 1548151339.119 * * [misc]simplify: iters left: 1 (183 enodes) 1548151339.160 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151339.160 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151339.160 * * * * [misc]progress: [ 94 / 310 ] simplifiying candidate # 1548151339.160 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1548151339.160 * * [misc]simplify: iters left: 6 (11 enodes) 1548151339.162 * * [misc]simplify: iters left: 5 (18 enodes) 1548151339.165 * * [misc]simplify: iters left: 4 (26 enodes) 1548151339.169 * * [misc]simplify: iters left: 3 (31 enodes) 1548151339.172 * * [misc]simplify: iters left: 2 (32 enodes) 1548151339.175 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548151339.175 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151339.175 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151339.175 * * [misc]simplify: iters left: 6 (17 enodes) 1548151339.178 * * [misc]simplify: iters left: 5 (28 enodes) 1548151339.182 * * [misc]simplify: iters left: 4 (50 enodes) 1548151339.193 * * [misc]simplify: iters left: 3 (85 enodes) 1548151339.214 * * [misc]simplify: iters left: 2 (127 enodes) 1548151339.231 * * [misc]simplify: iters left: 1 (181 enodes) 1548151339.265 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151339.265 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151339.265 * * * * [misc]progress: [ 95 / 310 ] simplifiying candidate # 1548151339.266 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1548151339.266 * * [misc]simplify: iters left: 6 (12 enodes) 1548151339.268 * * [misc]simplify: iters left: 5 (21 enodes) 1548151339.271 * * [misc]simplify: iters left: 4 (24 enodes) 1548151339.275 * * [misc]simplify: iters left: 3 (36 enodes) 1548151339.279 * * [misc]simplify: iters left: 2 (42 enodes) 1548151339.284 * * [misc]simplify: iters left: 1 (51 enodes) 1548151339.290 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548151339.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151339.291 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151339.291 * * [misc]simplify: iters left: 6 (14 enodes) 1548151339.293 * * [misc]simplify: iters left: 5 (24 enodes) 1548151339.296 * * [misc]simplify: iters left: 4 (45 enodes) 1548151339.303 * * [misc]simplify: iters left: 3 (80 enodes) 1548151339.314 * * [misc]simplify: iters left: 2 (122 enodes) 1548151339.349 * * [misc]simplify: iters left: 1 (177 enodes) 1548151339.398 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1548151339.398 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1548151339.398 * * * * [misc]progress: [ 96 / 310 ] simplifiying candidate # 1548151339.399 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1548151339.399 * * [misc]simplify: iters left: 6 (12 enodes) 1548151339.403 * * [misc]simplify: iters left: 5 (21 enodes) 1548151339.409 * * [misc]simplify: iters left: 4 (24 enodes) 1548151339.412 * * [misc]simplify: iters left: 3 (36 enodes) 1548151339.417 * * [misc]simplify: iters left: 2 (42 enodes) 1548151339.422 * * [misc]simplify: iters left: 1 (51 enodes) 1548151339.427 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548151339.428 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151339.428 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151339.428 * * [misc]simplify: iters left: 6 (14 enodes) 1548151339.430 * * [misc]simplify: iters left: 5 (24 enodes) 1548151339.433 * * [misc]simplify: iters left: 4 (45 enodes) 1548151339.443 * * [misc]simplify: iters left: 3 (80 enodes) 1548151339.465 * * [misc]simplify: iters left: 2 (122 enodes) 1548151339.498 * * [misc]simplify: iters left: 1 (177 enodes) 1548151339.547 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1548151339.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1548151339.548 * * * * [misc]progress: [ 97 / 310 ] simplifiying candidate # 1548151339.548 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151339.548 * * [misc]simplify: iters left: 6 (14 enodes) 1548151339.553 * * [misc]simplify: iters left: 5 (23 enodes) 1548151339.560 * * [misc]simplify: iters left: 4 (29 enodes) 1548151339.565 * * [misc]simplify: iters left: 3 (41 enodes) 1548151339.570 * * [misc]simplify: iters left: 2 (47 enodes) 1548151339.576 * * [misc]simplify: iters left: 1 (57 enodes) 1548151339.585 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1548151339.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151339.585 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151339.585 * * [misc]simplify: iters left: 6 (14 enodes) 1548151339.587 * * [misc]simplify: iters left: 5 (24 enodes) 1548151339.593 * * [misc]simplify: iters left: 4 (46 enodes) 1548151339.599 * * [misc]simplify: iters left: 3 (81 enodes) 1548151339.609 * * [misc]simplify: iters left: 2 (123 enodes) 1548151339.627 * * [misc]simplify: iters left: 1 (178 enodes) 1548151339.679 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151339.679 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151339.679 * * * * [misc]progress: [ 98 / 310 ] simplifiying candidate # 1548151339.679 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151339.680 * * [misc]simplify: iters left: 6 (17 enodes) 1548151339.685 * * [misc]simplify: iters left: 5 (29 enodes) 1548151339.689 * * [misc]simplify: iters left: 4 (37 enodes) 1548151339.695 * * [misc]simplify: iters left: 3 (55 enodes) 1548151339.703 * * [misc]simplify: iters left: 2 (74 enodes) 1548151339.714 * * [misc]simplify: iters left: 1 (95 enodes) 1548151339.744 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1548151339.744 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151339.744 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151339.744 * * [misc]simplify: iters left: 6 (17 enodes) 1548151339.750 * * [misc]simplify: iters left: 5 (28 enodes) 1548151339.758 * * [misc]simplify: iters left: 4 (50 enodes) 1548151339.772 * * [misc]simplify: iters left: 3 (85 enodes) 1548151339.795 * * [misc]simplify: iters left: 2 (127 enodes) 1548151339.829 * * [misc]simplify: iters left: 1 (181 enodes) 1548151339.861 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548151339.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151339.861 * * * * [misc]progress: [ 99 / 310 ] simplifiying candidate # 1548151339.861 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151339.861 * * [misc]simplify: iters left: 6 (16 enodes) 1548151339.864 * * [misc]simplify: iters left: 5 (26 enodes) 1548151339.868 * * [misc]simplify: iters left: 4 (32 enodes) 1548151339.873 * * [misc]simplify: iters left: 3 (44 enodes) 1548151339.880 * * [misc]simplify: iters left: 2 (50 enodes) 1548151339.891 * * [misc]simplify: iters left: 1 (60 enodes) 1548151339.907 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151339.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151339.908 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151339.908 * * [misc]simplify: iters left: 6 (17 enodes) 1548151339.913 * * [misc]simplify: iters left: 5 (28 enodes) 1548151339.922 * * [misc]simplify: iters left: 4 (50 enodes) 1548151339.936 * * [misc]simplify: iters left: 3 (85 enodes) 1548151339.957 * * [misc]simplify: iters left: 2 (127 enodes) 1548151339.989 * * [misc]simplify: iters left: 1 (181 enodes) 1548151340.041 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548151340.041 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151340.041 * * * * [misc]progress: [ 100 / 310 ] simplifiying candidate # 1548151340.042 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1548151340.042 * * [misc]simplify: iters left: 6 (8 enodes) 1548151340.045 * * [misc]simplify: iters left: 5 (13 enodes) 1548151340.049 * * [misc]simplify: iters left: 4 (14 enodes) 1548151340.053 * * [misc]simplify: iters left: 3 (17 enodes) 1548151340.057 * * [misc]simplify: iters left: 2 (18 enodes) 1548151340.061 * * [misc]simplify: iters left: 1 (20 enodes) 1548151340.065 * [exit]simplify: Simplified to (sqrt PI) 1548151340.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151340.066 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151340.066 * * [misc]simplify: iters left: 6 (16 enodes) 1548151340.071 * * [misc]simplify: iters left: 5 (27 enodes) 1548151340.079 * * [misc]simplify: iters left: 4 (49 enodes) 1548151340.092 * * [misc]simplify: iters left: 3 (84 enodes) 1548151340.109 * * [misc]simplify: iters left: 2 (126 enodes) 1548151340.126 * * [misc]simplify: iters left: 1 (181 enodes) 1548151340.154 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151340.154 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151340.154 * * * * [misc]progress: [ 101 / 310 ] simplifiying candidate # 1548151340.154 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1548151340.154 * * [misc]simplify: iters left: 6 (7 enodes) 1548151340.155 * * [misc]simplify: iters left: 5 (12 enodes) 1548151340.157 * * [misc]simplify: iters left: 4 (17 enodes) 1548151340.159 * * [misc]simplify: iters left: 3 (19 enodes) 1548151340.162 * [exit]simplify: Simplified to (sqrt PI) 1548151340.162 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151340.162 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151340.162 * * [misc]simplify: iters left: 6 (16 enodes) 1548151340.165 * * [misc]simplify: iters left: 5 (27 enodes) 1548151340.169 * * [misc]simplify: iters left: 4 (49 enodes) 1548151340.175 * * [misc]simplify: iters left: 3 (84 enodes) 1548151340.186 * * [misc]simplify: iters left: 2 (126 enodes) 1548151340.203 * * [misc]simplify: iters left: 1 (181 enodes) 1548151340.254 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151340.254 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151340.254 * * * * [misc]progress: [ 102 / 310 ] simplifiying candidate # 1548151340.255 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1548151340.255 * * [misc]simplify: iters left: 6 (8 enodes) 1548151340.258 * * [misc]simplify: iters left: 5 (11 enodes) 1548151340.261 * * [misc]simplify: iters left: 4 (12 enodes) 1548151340.265 * * [misc]simplify: iters left: 3 (15 enodes) 1548151340.269 * * [misc]simplify: iters left: 2 (16 enodes) 1548151340.273 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548151340.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151340.274 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151340.274 * * [misc]simplify: iters left: 6 (16 enodes) 1548151340.279 * * [misc]simplify: iters left: 5 (29 enodes) 1548151340.287 * * [misc]simplify: iters left: 4 (49 enodes) 1548151340.302 * * [misc]simplify: iters left: 3 (91 enodes) 1548151340.325 * * [misc]simplify: iters left: 2 (126 enodes) 1548151340.358 * * [misc]simplify: iters left: 1 (183 enodes) 1548151340.402 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1548151340.403 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1548151340.403 * * * * [misc]progress: [ 103 / 310 ] simplifiying candidate # 1548151340.403 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151340.403 * * [misc]simplify: iters left: 6 (13 enodes) 1548151340.405 * * [misc]simplify: iters left: 5 (20 enodes) 1548151340.408 * * [misc]simplify: iters left: 4 (24 enodes) 1548151340.412 * * [misc]simplify: iters left: 3 (29 enodes) 1548151340.416 * * [misc]simplify: iters left: 2 (30 enodes) 1548151340.420 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1548151340.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))))) 1548151340.420 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1548151340.420 * * [misc]simplify: iters left: 6 (12 enodes) 1548151340.423 * * [misc]simplify: iters left: 5 (20 enodes) 1548151340.429 * * [misc]simplify: iters left: 4 (38 enodes) 1548151340.440 * * [misc]simplify: iters left: 3 (67 enodes) 1548151340.456 * * [misc]simplify: iters left: 2 (83 enodes) 1548151340.473 * * [misc]simplify: iters left: 1 (93 enodes) 1548151340.495 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1548151340.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1548151340.495 * * * * [misc]progress: [ 104 / 310 ] simplifiying candidate # 1548151340.495 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151340.496 * * [misc]simplify: iters left: 6 (17 enodes) 1548151340.501 * * [misc]simplify: iters left: 5 (25 enodes) 1548151340.508 * * [misc]simplify: iters left: 4 (29 enodes) 1548151340.516 * * [misc]simplify: iters left: 3 (32 enodes) 1548151340.521 * * [misc]simplify: iters left: 2 (33 enodes) 1548151340.525 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151340.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151340.525 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151340.525 * * [misc]simplify: iters left: 6 (17 enodes) 1548151340.528 * * [misc]simplify: iters left: 5 (26 enodes) 1548151340.531 * * [misc]simplify: iters left: 4 (45 enodes) 1548151340.538 * * [misc]simplify: iters left: 3 (74 enodes) 1548151340.547 * * [misc]simplify: iters left: 2 (90 enodes) 1548151340.560 * * [misc]simplify: iters left: 1 (100 enodes) 1548151340.581 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151340.581 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151340.581 * * * * [misc]progress: [ 105 / 310 ] simplifiying candidate # 1548151340.582 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151340.582 * * [misc]simplify: iters left: 6 (16 enodes) 1548151340.586 * * [misc]simplify: iters left: 5 (22 enodes) 1548151340.590 * * [misc]simplify: iters left: 4 (26 enodes) 1548151340.594 * * [misc]simplify: iters left: 3 (29 enodes) 1548151340.599 * * [misc]simplify: iters left: 2 (30 enodes) 1548151340.602 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151340.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151340.603 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151340.603 * * [misc]simplify: iters left: 6 (17 enodes) 1548151340.605 * * [misc]simplify: iters left: 5 (26 enodes) 1548151340.609 * * [misc]simplify: iters left: 4 (45 enodes) 1548151340.615 * * [misc]simplify: iters left: 3 (74 enodes) 1548151340.624 * * [misc]simplify: iters left: 2 (90 enodes) 1548151340.642 * * [misc]simplify: iters left: 1 (100 enodes) 1548151340.663 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151340.664 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151340.664 * * * * [misc]progress: [ 106 / 310 ] simplifiying candidate # 1548151340.664 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151340.664 * * [misc]simplify: iters left: 6 (15 enodes) 1548151340.669 * * [misc]simplify: iters left: 5 (24 enodes) 1548151340.676 * * [misc]simplify: iters left: 4 (32 enodes) 1548151340.686 * * [misc]simplify: iters left: 3 (47 enodes) 1548151340.698 * * [misc]simplify: iters left: 2 (53 enodes) 1548151340.711 * * [misc]simplify: iters left: 1 (60 enodes) 1548151340.718 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1548151340.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151340.718 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151340.718 * * [misc]simplify: iters left: 6 (15 enodes) 1548151340.720 * * [misc]simplify: iters left: 5 (25 enodes) 1548151340.724 * * [misc]simplify: iters left: 4 (46 enodes) 1548151340.731 * * [misc]simplify: iters left: 3 (81 enodes) 1548151340.744 * * [misc]simplify: iters left: 2 (123 enodes) 1548151340.776 * * [misc]simplify: iters left: 1 (177 enodes) 1548151340.825 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151340.826 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151340.826 * * * * [misc]progress: [ 107 / 310 ] simplifiying candidate # 1548151340.826 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151340.826 * * [misc]simplify: iters left: 6 (15 enodes) 1548151340.832 * * [misc]simplify: iters left: 5 (24 enodes) 1548151340.839 * * [misc]simplify: iters left: 4 (32 enodes) 1548151340.848 * * [misc]simplify: iters left: 3 (47 enodes) 1548151340.861 * * [misc]simplify: iters left: 2 (53 enodes) 1548151340.874 * * [misc]simplify: iters left: 1 (60 enodes) 1548151340.888 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1548151340.888 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151340.888 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151340.888 * * [misc]simplify: iters left: 6 (15 enodes) 1548151340.893 * * [misc]simplify: iters left: 5 (25 enodes) 1548151340.896 * * [misc]simplify: iters left: 4 (46 enodes) 1548151340.904 * * [misc]simplify: iters left: 3 (81 enodes) 1548151340.914 * * [misc]simplify: iters left: 2 (123 enodes) 1548151340.931 * * [misc]simplify: iters left: 1 (177 enodes) 1548151340.974 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151340.974 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151340.974 * * * * [misc]progress: [ 108 / 310 ] simplifiying candidate # 1548151340.974 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151340.974 * * [misc]simplify: iters left: 6 (16 enodes) 1548151340.980 * * [misc]simplify: iters left: 5 (25 enodes) 1548151340.987 * * [misc]simplify: iters left: 4 (36 enodes) 1548151340.998 * * [misc]simplify: iters left: 3 (51 enodes) 1548151341.011 * * [misc]simplify: iters left: 2 (57 enodes) 1548151341.024 * * [misc]simplify: iters left: 1 (64 enodes) 1548151341.039 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1548151341.039 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151341.040 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151341.040 * * [misc]simplify: iters left: 6 (15 enodes) 1548151341.044 * * [misc]simplify: iters left: 5 (25 enodes) 1548151341.054 * * [misc]simplify: iters left: 4 (47 enodes) 1548151341.068 * * [misc]simplify: iters left: 3 (82 enodes) 1548151341.088 * * [misc]simplify: iters left: 2 (124 enodes) 1548151341.121 * * [misc]simplify: iters left: 1 (178 enodes) 1548151341.170 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151341.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151341.171 * * * * [misc]progress: [ 109 / 310 ] simplifiying candidate # 1548151341.171 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151341.171 * * [misc]simplify: iters left: 6 (19 enodes) 1548151341.178 * * [misc]simplify: iters left: 5 (33 enodes) 1548151341.188 * * [misc]simplify: iters left: 4 (55 enodes) 1548151341.206 * * [misc]simplify: iters left: 3 (83 enodes) 1548151341.226 * * [misc]simplify: iters left: 2 (118 enodes) 1548151341.242 * * [misc]simplify: iters left: 1 (141 enodes) 1548151341.264 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) 1548151341.264 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151341.264 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151341.265 * * [misc]simplify: iters left: 6 (18 enodes) 1548151341.267 * * [misc]simplify: iters left: 5 (29 enodes) 1548151341.273 * * [misc]simplify: iters left: 4 (51 enodes) 1548151341.283 * * [misc]simplify: iters left: 3 (86 enodes) 1548151341.304 * * [misc]simplify: iters left: 2 (128 enodes) 1548151341.337 * * [misc]simplify: iters left: 1 (183 enodes) 1548151341.387 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151341.387 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151341.387 * * * * [misc]progress: [ 110 / 310 ] simplifiying candidate # 1548151341.387 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151341.387 * * [misc]simplify: iters left: 6 (18 enodes) 1548151341.394 * * [misc]simplify: iters left: 5 (28 enodes) 1548151341.402 * * [misc]simplify: iters left: 4 (39 enodes) 1548151341.416 * * [misc]simplify: iters left: 3 (54 enodes) 1548151341.430 * * [misc]simplify: iters left: 2 (60 enodes) 1548151341.444 * * [misc]simplify: iters left: 1 (67 enodes) 1548151341.461 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1548151341.461 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151341.461 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151341.461 * * [misc]simplify: iters left: 6 (18 enodes) 1548151341.467 * * [misc]simplify: iters left: 5 (29 enodes) 1548151341.475 * * [misc]simplify: iters left: 4 (51 enodes) 1548151341.489 * * [misc]simplify: iters left: 3 (86 enodes) 1548151341.510 * * [misc]simplify: iters left: 2 (128 enodes) 1548151341.542 * * [misc]simplify: iters left: 1 (183 enodes) 1548151341.582 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151341.582 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151341.583 * * * * [misc]progress: [ 111 / 310 ] simplifiying candidate # 1548151341.583 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151341.583 * * [misc]simplify: iters left: 6 (12 enodes) 1548151341.585 * * [misc]simplify: iters left: 5 (21 enodes) 1548151341.588 * * [misc]simplify: iters left: 4 (33 enodes) 1548151341.593 * * [misc]simplify: iters left: 3 (56 enodes) 1548151341.602 * * [misc]simplify: iters left: 2 (119 enodes) 1548151341.643 * * [misc]simplify: iters left: 1 (173 enodes) 1548151341.668 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548151341.668 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151341.669 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151341.669 * * [misc]simplify: iters left: 6 (17 enodes) 1548151341.674 * * [misc]simplify: iters left: 5 (28 enodes) 1548151341.682 * * [misc]simplify: iters left: 4 (50 enodes) 1548151341.696 * * [misc]simplify: iters left: 3 (85 enodes) 1548151341.716 * * [misc]simplify: iters left: 2 (127 enodes) 1548151341.737 * * [misc]simplify: iters left: 1 (181 enodes) 1548151341.763 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548151341.764 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548151341.764 * * * * [misc]progress: [ 112 / 310 ] simplifiying candidate # 1548151341.764 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151341.764 * * [misc]simplify: iters left: 6 (14 enodes) 1548151341.766 * * [misc]simplify: iters left: 5 (21 enodes) 1548151341.769 * * [misc]simplify: iters left: 4 (25 enodes) 1548151341.773 * * [misc]simplify: iters left: 3 (30 enodes) 1548151341.777 * * [misc]simplify: iters left: 2 (31 enodes) 1548151341.780 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151341.780 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151341.781 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151341.781 * * [misc]simplify: iters left: 6 (15 enodes) 1548151341.783 * * [misc]simplify: iters left: 5 (25 enodes) 1548151341.786 * * [misc]simplify: iters left: 4 (46 enodes) 1548151341.793 * * [misc]simplify: iters left: 3 (81 enodes) 1548151341.803 * * [misc]simplify: iters left: 2 (123 enodes) 1548151341.835 * * [misc]simplify: iters left: 1 (177 enodes) 1548151341.865 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151341.865 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151341.865 * * * * [misc]progress: [ 113 / 310 ] simplifiying candidate # 1548151341.865 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151341.865 * * [misc]simplify: iters left: 6 (14 enodes) 1548151341.868 * * [misc]simplify: iters left: 5 (21 enodes) 1548151341.872 * * [misc]simplify: iters left: 4 (25 enodes) 1548151341.875 * * [misc]simplify: iters left: 3 (30 enodes) 1548151341.879 * * [misc]simplify: iters left: 2 (31 enodes) 1548151341.886 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151341.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151341.886 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151341.887 * * [misc]simplify: iters left: 6 (15 enodes) 1548151341.892 * * [misc]simplify: iters left: 5 (25 enodes) 1548151341.899 * * [misc]simplify: iters left: 4 (46 enodes) 1548151341.912 * * [misc]simplify: iters left: 3 (81 enodes) 1548151341.932 * * [misc]simplify: iters left: 2 (123 enodes) 1548151341.952 * * [misc]simplify: iters left: 1 (177 enodes) 1548151341.982 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151341.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151341.982 * * * * [misc]progress: [ 114 / 310 ] simplifiying candidate # 1548151341.982 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151341.983 * * [misc]simplify: iters left: 6 (15 enodes) 1548151341.987 * * [misc]simplify: iters left: 5 (22 enodes) 1548151341.993 * * [misc]simplify: iters left: 4 (29 enodes) 1548151342.000 * * [misc]simplify: iters left: 3 (34 enodes) 1548151342.008 * * [misc]simplify: iters left: 2 (35 enodes) 1548151342.015 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151342.015 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151342.016 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151342.016 * * [misc]simplify: iters left: 6 (15 enodes) 1548151342.020 * * [misc]simplify: iters left: 5 (25 enodes) 1548151342.026 * * [misc]simplify: iters left: 4 (47 enodes) 1548151342.038 * * [misc]simplify: iters left: 3 (82 enodes) 1548151342.058 * * [misc]simplify: iters left: 2 (124 enodes) 1548151342.089 * * [misc]simplify: iters left: 1 (178 enodes) 1548151342.121 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151342.122 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151342.122 * * * * [misc]progress: [ 115 / 310 ] simplifiying candidate # 1548151342.122 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151342.122 * * [misc]simplify: iters left: 6 (18 enodes) 1548151342.125 * * [misc]simplify: iters left: 5 (28 enodes) 1548151342.129 * * [misc]simplify: iters left: 4 (37 enodes) 1548151342.137 * * [misc]simplify: iters left: 3 (49 enodes) 1548151342.150 * * [misc]simplify: iters left: 2 (58 enodes) 1548151342.160 * * [misc]simplify: iters left: 1 (60 enodes) 1548151342.168 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1548151342.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151342.168 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151342.169 * * [misc]simplify: iters left: 6 (18 enodes) 1548151342.172 * * [misc]simplify: iters left: 5 (29 enodes) 1548151342.176 * * [misc]simplify: iters left: 4 (51 enodes) 1548151342.183 * * [misc]simplify: iters left: 3 (86 enodes) 1548151342.198 * * [misc]simplify: iters left: 2 (128 enodes) 1548151342.215 * * [misc]simplify: iters left: 1 (183 enodes) 1548151342.265 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151342.265 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151342.265 * * * * [misc]progress: [ 116 / 310 ] simplifiying candidate # 1548151342.265 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151342.266 * * [misc]simplify: iters left: 6 (17 enodes) 1548151342.271 * * [misc]simplify: iters left: 5 (25 enodes) 1548151342.278 * * [misc]simplify: iters left: 4 (32 enodes) 1548151342.287 * * [misc]simplify: iters left: 3 (37 enodes) 1548151342.296 * * [misc]simplify: iters left: 2 (38 enodes) 1548151342.305 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548151342.305 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151342.305 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151342.305 * * [misc]simplify: iters left: 6 (18 enodes) 1548151342.310 * * [misc]simplify: iters left: 5 (29 enodes) 1548151342.319 * * [misc]simplify: iters left: 4 (51 enodes) 1548151342.333 * * [misc]simplify: iters left: 3 (86 enodes) 1548151342.354 * * [misc]simplify: iters left: 2 (128 enodes) 1548151342.374 * * [misc]simplify: iters left: 1 (183 enodes) 1548151342.408 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151342.408 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151342.408 * * * * [misc]progress: [ 117 / 310 ] simplifiying candidate # 1548151342.409 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1548151342.409 * * [misc]simplify: iters left: 6 (11 enodes) 1548151342.413 * * [misc]simplify: iters left: 5 (18 enodes) 1548151342.419 * * [misc]simplify: iters left: 4 (26 enodes) 1548151342.426 * * [misc]simplify: iters left: 3 (31 enodes) 1548151342.432 * * [misc]simplify: iters left: 2 (32 enodes) 1548151342.438 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548151342.438 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151342.438 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151342.439 * * [misc]simplify: iters left: 6 (17 enodes) 1548151342.444 * * [misc]simplify: iters left: 5 (28 enodes) 1548151342.452 * * [misc]simplify: iters left: 4 (50 enodes) 1548151342.460 * * [misc]simplify: iters left: 3 (85 enodes) 1548151342.470 * * [misc]simplify: iters left: 2 (127 enodes) 1548151342.498 * * [misc]simplify: iters left: 1 (181 enodes) 1548151342.542 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548151342.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548151342.542 * * * * [misc]progress: [ 118 / 310 ] simplifiying candidate # 1548151342.542 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1548151342.542 * * [misc]simplify: iters left: 6 (12 enodes) 1548151342.545 * * [misc]simplify: iters left: 5 (21 enodes) 1548151342.548 * * [misc]simplify: iters left: 4 (24 enodes) 1548151342.551 * * [misc]simplify: iters left: 3 (36 enodes) 1548151342.556 * * [misc]simplify: iters left: 2 (42 enodes) 1548151342.562 * * [misc]simplify: iters left: 1 (51 enodes) 1548151342.568 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548151342.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151342.569 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151342.569 * * [misc]simplify: iters left: 6 (14 enodes) 1548151342.574 * * [misc]simplify: iters left: 5 (24 enodes) 1548151342.581 * * [misc]simplify: iters left: 4 (45 enodes) 1548151342.596 * * [misc]simplify: iters left: 3 (80 enodes) 1548151342.616 * * [misc]simplify: iters left: 2 (122 enodes) 1548151342.649 * * [misc]simplify: iters left: 1 (177 enodes) 1548151342.682 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1548151342.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1548151342.682 * * * * [misc]progress: [ 119 / 310 ] simplifiying candidate # 1548151342.682 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1548151342.682 * * [misc]simplify: iters left: 6 (12 enodes) 1548151342.685 * * [misc]simplify: iters left: 5 (21 enodes) 1548151342.688 * * [misc]simplify: iters left: 4 (24 enodes) 1548151342.692 * * [misc]simplify: iters left: 3 (36 enodes) 1548151342.701 * * [misc]simplify: iters left: 2 (42 enodes) 1548151342.713 * * [misc]simplify: iters left: 1 (51 enodes) 1548151342.726 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548151342.726 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151342.726 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151342.726 * * [misc]simplify: iters left: 6 (14 enodes) 1548151342.730 * * [misc]simplify: iters left: 5 (24 enodes) 1548151342.737 * * [misc]simplify: iters left: 4 (45 enodes) 1548151342.749 * * [misc]simplify: iters left: 3 (80 enodes) 1548151342.760 * * [misc]simplify: iters left: 2 (122 enodes) 1548151342.776 * * [misc]simplify: iters left: 1 (177 enodes) 1548151342.804 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1548151342.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1548151342.805 * * * * [misc]progress: [ 120 / 310 ] simplifiying candidate # 1548151342.805 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151342.805 * * [misc]simplify: iters left: 6 (14 enodes) 1548151342.810 * * [misc]simplify: iters left: 5 (23 enodes) 1548151342.817 * * [misc]simplify: iters left: 4 (29 enodes) 1548151342.821 * * [misc]simplify: iters left: 3 (41 enodes) 1548151342.827 * * [misc]simplify: iters left: 2 (47 enodes) 1548151342.833 * * [misc]simplify: iters left: 1 (57 enodes) 1548151342.840 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1548151342.840 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151342.840 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151342.840 * * [misc]simplify: iters left: 6 (14 enodes) 1548151342.842 * * [misc]simplify: iters left: 5 (24 enodes) 1548151342.846 * * [misc]simplify: iters left: 4 (46 enodes) 1548151342.852 * * [misc]simplify: iters left: 3 (81 enodes) 1548151342.862 * * [misc]simplify: iters left: 2 (123 enodes) 1548151342.883 * * [misc]simplify: iters left: 1 (178 enodes) 1548151342.934 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151342.935 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151342.935 * * * * [misc]progress: [ 121 / 310 ] simplifiying candidate # 1548151342.935 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151342.935 * * [misc]simplify: iters left: 6 (17 enodes) 1548151342.941 * * [misc]simplify: iters left: 5 (29 enodes) 1548151342.950 * * [misc]simplify: iters left: 4 (37 enodes) 1548151342.961 * * [misc]simplify: iters left: 3 (55 enodes) 1548151342.975 * * [misc]simplify: iters left: 2 (74 enodes) 1548151342.985 * * [misc]simplify: iters left: 1 (95 enodes) 1548151343.003 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1548151343.003 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151343.003 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151343.003 * * [misc]simplify: iters left: 6 (17 enodes) 1548151343.009 * * [misc]simplify: iters left: 5 (28 enodes) 1548151343.017 * * [misc]simplify: iters left: 4 (50 enodes) 1548151343.027 * * [misc]simplify: iters left: 3 (85 enodes) 1548151343.037 * * [misc]simplify: iters left: 2 (127 enodes) 1548151343.059 * * [misc]simplify: iters left: 1 (181 enodes) 1548151343.091 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548151343.091 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151343.091 * * * * [misc]progress: [ 122 / 310 ] simplifiying candidate # 1548151343.091 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151343.091 * * [misc]simplify: iters left: 6 (16 enodes) 1548151343.099 * * [misc]simplify: iters left: 5 (26 enodes) 1548151343.103 * * [misc]simplify: iters left: 4 (32 enodes) 1548151343.108 * * [misc]simplify: iters left: 3 (44 enodes) 1548151343.114 * * [misc]simplify: iters left: 2 (50 enodes) 1548151343.121 * * [misc]simplify: iters left: 1 (60 enodes) 1548151343.129 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151343.129 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151343.129 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151343.129 * * [misc]simplify: iters left: 6 (17 enodes) 1548151343.134 * * [misc]simplify: iters left: 5 (28 enodes) 1548151343.143 * * [misc]simplify: iters left: 4 (50 enodes) 1548151343.156 * * [misc]simplify: iters left: 3 (85 enodes) 1548151343.175 * * [misc]simplify: iters left: 2 (127 enodes) 1548151343.192 * * [misc]simplify: iters left: 1 (181 enodes) 1548151343.237 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548151343.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151343.237 * * * * [misc]progress: [ 123 / 310 ] simplifiying candidate # 1548151343.237 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1548151343.237 * * [misc]simplify: iters left: 6 (8 enodes) 1548151343.241 * * [misc]simplify: iters left: 5 (13 enodes) 1548151343.245 * * [misc]simplify: iters left: 4 (14 enodes) 1548151343.248 * * [misc]simplify: iters left: 3 (17 enodes) 1548151343.251 * * [misc]simplify: iters left: 2 (18 enodes) 1548151343.253 * * [misc]simplify: iters left: 1 (20 enodes) 1548151343.255 * [exit]simplify: Simplified to (sqrt PI) 1548151343.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151343.255 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151343.255 * * [misc]simplify: iters left: 6 (16 enodes) 1548151343.257 * * [misc]simplify: iters left: 5 (27 enodes) 1548151343.261 * * [misc]simplify: iters left: 4 (49 enodes) 1548151343.269 * * [misc]simplify: iters left: 3 (84 enodes) 1548151343.279 * * [misc]simplify: iters left: 2 (126 enodes) 1548151343.315 * * [misc]simplify: iters left: 1 (181 enodes) 1548151343.365 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151343.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151343.365 * * * * [misc]progress: [ 124 / 310 ] simplifiying candidate # 1548151343.366 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1548151343.366 * * [misc]simplify: iters left: 6 (7 enodes) 1548151343.369 * * [misc]simplify: iters left: 5 (12 enodes) 1548151343.373 * * [misc]simplify: iters left: 4 (17 enodes) 1548151343.377 * * [misc]simplify: iters left: 3 (19 enodes) 1548151343.381 * [exit]simplify: Simplified to (sqrt PI) 1548151343.381 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151343.381 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151343.381 * * [misc]simplify: iters left: 6 (16 enodes) 1548151343.386 * * [misc]simplify: iters left: 5 (27 enodes) 1548151343.395 * * [misc]simplify: iters left: 4 (49 enodes) 1548151343.409 * * [misc]simplify: iters left: 3 (84 enodes) 1548151343.427 * * [misc]simplify: iters left: 2 (126 enodes) 1548151343.446 * * [misc]simplify: iters left: 1 (181 enodes) 1548151343.474 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548151343.474 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548151343.474 * * * * [misc]progress: [ 125 / 310 ] simplifiying candidate # 1548151343.474 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1548151343.474 * * [misc]simplify: iters left: 6 (8 enodes) 1548151343.476 * * [misc]simplify: iters left: 5 (11 enodes) 1548151343.477 * * [misc]simplify: iters left: 4 (12 enodes) 1548151343.479 * * [misc]simplify: iters left: 3 (15 enodes) 1548151343.482 * * [misc]simplify: iters left: 2 (16 enodes) 1548151343.484 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548151343.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151343.484 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151343.484 * * [misc]simplify: iters left: 6 (16 enodes) 1548151343.486 * * [misc]simplify: iters left: 5 (29 enodes) 1548151343.493 * * [misc]simplify: iters left: 4 (49 enodes) 1548151343.507 * * [misc]simplify: iters left: 3 (91 enodes) 1548151343.531 * * [misc]simplify: iters left: 2 (126 enodes) 1548151343.566 * * [misc]simplify: iters left: 1 (183 enodes) 1548151343.594 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1548151343.594 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1548151343.594 * * * * [misc]progress: [ 126 / 310 ] simplifiying candidate # 1548151343.594 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151343.594 * * [misc]simplify: iters left: 6 (13 enodes) 1548151343.596 * * [misc]simplify: iters left: 5 (20 enodes) 1548151343.599 * * [misc]simplify: iters left: 4 (24 enodes) 1548151343.605 * * [misc]simplify: iters left: 3 (29 enodes) 1548151343.610 * * [misc]simplify: iters left: 2 (30 enodes) 1548151343.614 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1548151343.615 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))))) 1548151343.615 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1548151343.615 * * [misc]simplify: iters left: 6 (12 enodes) 1548151343.617 * * [misc]simplify: iters left: 5 (20 enodes) 1548151343.620 * * [misc]simplify: iters left: 4 (38 enodes) 1548151343.627 * * [misc]simplify: iters left: 3 (67 enodes) 1548151343.635 * * [misc]simplify: iters left: 2 (83 enodes) 1548151343.647 * * [misc]simplify: iters left: 1 (93 enodes) 1548151343.664 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1548151343.664 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1548151343.664 * * * * [misc]progress: [ 127 / 310 ] simplifiying candidate # 1548151343.664 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151343.664 * * [misc]simplify: iters left: 6 (19 enodes) 1548151343.667 * * [misc]simplify: iters left: 5 (32 enodes) 1548151343.672 * * [misc]simplify: iters left: 4 (50 enodes) 1548151343.680 * * [misc]simplify: iters left: 3 (71 enodes) 1548151343.690 * * [misc]simplify: iters left: 2 (115 enodes) 1548151343.705 * * [misc]simplify: iters left: 1 (155 enodes) 1548151343.730 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151343.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151343.730 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151343.730 * * [misc]simplify: iters left: 6 (17 enodes) 1548151343.735 * * [misc]simplify: iters left: 5 (24 enodes) 1548151343.742 * * [misc]simplify: iters left: 4 (33 enodes) 1548151343.752 * * [misc]simplify: iters left: 3 (51 enodes) 1548151343.767 * * [misc]simplify: iters left: 2 (92 enodes) 1548151343.791 * * [misc]simplify: iters left: 1 (132 enodes) 1548151343.819 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151343.819 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151343.819 * * * * [misc]progress: [ 128 / 310 ] simplifiying candidate # 1548151343.819 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151343.820 * * [misc]simplify: iters left: 6 (18 enodes) 1548151343.825 * * [misc]simplify: iters left: 5 (27 enodes) 1548151343.832 * * [misc]simplify: iters left: 4 (38 enodes) 1548151343.846 * * [misc]simplify: iters left: 3 (57 enodes) 1548151343.862 * * [misc]simplify: iters left: 2 (98 enodes) 1548151343.887 * * [misc]simplify: iters left: 1 (138 enodes) 1548151343.916 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151343.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151343.916 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151343.916 * * [misc]simplify: iters left: 6 (17 enodes) 1548151343.921 * * [misc]simplify: iters left: 5 (24 enodes) 1548151343.928 * * [misc]simplify: iters left: 4 (33 enodes) 1548151343.937 * * [misc]simplify: iters left: 3 (51 enodes) 1548151343.951 * * [misc]simplify: iters left: 2 (92 enodes) 1548151343.970 * * [misc]simplify: iters left: 1 (132 enodes) 1548151343.986 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151343.986 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151343.986 * * * * [misc]progress: [ 129 / 310 ] simplifiying candidate # 1548151343.986 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151343.986 * * [misc]simplify: iters left: 6 (19 enodes) 1548151343.989 * * [misc]simplify: iters left: 5 (33 enodes) 1548151343.994 * * [misc]simplify: iters left: 4 (57 enodes) 1548151344.013 * * [misc]simplify: iters left: 3 (116 enodes) 1548151344.051 * * [misc]simplify: iters left: 2 (210 enodes) 1548151344.119 * * [misc]simplify: iters left: 1 (279 enodes) 1548151344.162 * [exit]simplify: Simplified to (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151344.162 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151344.162 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151344.162 * * [misc]simplify: iters left: 6 (18 enodes) 1548151344.165 * * [misc]simplify: iters left: 5 (28 enodes) 1548151344.170 * * [misc]simplify: iters left: 4 (38 enodes) 1548151344.182 * * [misc]simplify: iters left: 3 (58 enodes) 1548151344.198 * * [misc]simplify: iters left: 2 (99 enodes) 1548151344.223 * * [misc]simplify: iters left: 1 (139 enodes) 1548151344.252 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151344.252 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151344.252 * * * * [misc]progress: [ 130 / 310 ] simplifiying candidate # 1548151344.252 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151344.252 * * [misc]simplify: iters left: 6 (19 enodes) 1548151344.259 * * [misc]simplify: iters left: 5 (33 enodes) 1548151344.269 * * [misc]simplify: iters left: 4 (57 enodes) 1548151344.285 * * [misc]simplify: iters left: 3 (116 enodes) 1548151344.307 * * [misc]simplify: iters left: 2 (210 enodes) 1548151344.357 * * [misc]simplify: iters left: 1 (279 enodes) 1548151344.421 * [exit]simplify: Simplified to (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151344.421 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151344.421 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151344.422 * * [misc]simplify: iters left: 6 (18 enodes) 1548151344.427 * * [misc]simplify: iters left: 5 (28 enodes) 1548151344.434 * * [misc]simplify: iters left: 4 (38 enodes) 1548151344.439 * * [misc]simplify: iters left: 3 (58 enodes) 1548151344.447 * * [misc]simplify: iters left: 2 (99 enodes) 1548151344.461 * * [misc]simplify: iters left: 1 (139 enodes) 1548151344.479 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151344.479 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151344.479 * * * * [misc]progress: [ 131 / 310 ] simplifiying candidate # 1548151344.480 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151344.480 * * [misc]simplify: iters left: 6 (18 enodes) 1548151344.487 * * [misc]simplify: iters left: 5 (30 enodes) 1548151344.491 * * [misc]simplify: iters left: 4 (54 enodes) 1548151344.500 * * [misc]simplify: iters left: 3 (113 enodes) 1548151344.521 * * [misc]simplify: iters left: 2 (209 enodes) 1548151344.565 * * [misc]simplify: iters left: 1 (278 enodes) 1548151344.637 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151344.637 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151344.638 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151344.638 * * [misc]simplify: iters left: 6 (15 enodes) 1548151344.642 * * [misc]simplify: iters left: 5 (23 enodes) 1548151344.649 * * [misc]simplify: iters left: 4 (35 enodes) 1548151344.660 * * [misc]simplify: iters left: 3 (55 enodes) 1548151344.670 * * [misc]simplify: iters left: 2 (96 enodes) 1548151344.685 * * [misc]simplify: iters left: 1 (136 enodes) 1548151344.702 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151344.702 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151344.702 * * * * [misc]progress: [ 132 / 310 ] simplifiying candidate # 1548151344.703 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151344.703 * * [misc]simplify: iters left: 6 (21 enodes) 1548151344.710 * * [misc]simplify: iters left: 5 (38 enodes) 1548151344.719 * * [misc]simplify: iters left: 4 (78 enodes) 1548151344.734 * * [misc]simplify: iters left: 3 (167 enodes) 1548151344.770 * * [misc]simplify: iters left: 2 (334 enodes) 1548151344.897 * * [misc]simplify: iters left: 1 (485 enodes) 1548151345.061 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151345.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151345.061 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151345.062 * * [misc]simplify: iters left: 6 (18 enodes) 1548151345.066 * * [misc]simplify: iters left: 5 (27 enodes) 1548151345.070 * * [misc]simplify: iters left: 4 (39 enodes) 1548151345.075 * * [misc]simplify: iters left: 3 (59 enodes) 1548151345.083 * * [misc]simplify: iters left: 2 (100 enodes) 1548151345.100 * * [misc]simplify: iters left: 1 (140 enodes) 1548151345.129 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548151345.130 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548151345.130 * * * * [misc]progress: [ 133 / 310 ] simplifiying candidate # 1548151345.130 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151345.130 * * [misc]simplify: iters left: 6 (20 enodes) 1548151345.136 * * [misc]simplify: iters left: 5 (33 enodes) 1548151345.146 * * [misc]simplify: iters left: 4 (57 enodes) 1548151345.160 * * [misc]simplify: iters left: 3 (116 enodes) 1548151345.182 * * [misc]simplify: iters left: 2 (212 enodes) 1548151345.217 * * [misc]simplify: iters left: 1 (281 enodes) 1548151345.279 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151345.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151345.279 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151345.280 * * [misc]simplify: iters left: 6 (18 enodes) 1548151345.285 * * [misc]simplify: iters left: 5 (27 enodes) 1548151345.293 * * [misc]simplify: iters left: 4 (39 enodes) 1548151345.304 * * [misc]simplify: iters left: 3 (59 enodes) 1548151345.321 * * [misc]simplify: iters left: 2 (100 enodes) 1548151345.349 * * [misc]simplify: iters left: 1 (140 enodes) 1548151345.381 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548151345.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548151345.381 * * * * [misc]progress: [ 134 / 310 ] simplifiying candidate # 1548151345.382 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151345.382 * * [misc]simplify: iters left: 6 (17 enodes) 1548151345.387 * * [misc]simplify: iters left: 5 (31 enodes) 1548151345.398 * * [misc]simplify: iters left: 4 (58 enodes) 1548151345.408 * * [misc]simplify: iters left: 3 (100 enodes) 1548151345.424 * * [misc]simplify: iters left: 2 (209 enodes) 1548151345.507 * * [misc]simplify: iters left: 1 (326 enodes) 1548151345.588 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548151345.588 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151345.589 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151345.589 * * [misc]simplify: iters left: 6 (17 enodes) 1548151345.594 * * [misc]simplify: iters left: 5 (26 enodes) 1548151345.601 * * [misc]simplify: iters left: 4 (38 enodes) 1548151345.612 * * [misc]simplify: iters left: 3 (58 enodes) 1548151345.628 * * [misc]simplify: iters left: 2 (99 enodes) 1548151345.652 * * [misc]simplify: iters left: 1 (139 enodes) 1548151345.680 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151345.680 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151345.680 * * * * [misc]progress: [ 135 / 310 ] simplifiying candidate # 1548151345.680 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151345.680 * * [misc]simplify: iters left: 6 (18 enodes) 1548151345.686 * * [misc]simplify: iters left: 5 (30 enodes) 1548151345.695 * * [misc]simplify: iters left: 4 (46 enodes) 1548151345.708 * * [misc]simplify: iters left: 3 (76 enodes) 1548151345.731 * * [misc]simplify: iters left: 2 (129 enodes) 1548151345.765 * * [misc]simplify: iters left: 1 (175 enodes) 1548151345.804 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548151345.804 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151345.804 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151345.805 * * [misc]simplify: iters left: 6 (18 enodes) 1548151345.810 * * [misc]simplify: iters left: 5 (28 enodes) 1548151345.818 * * [misc]simplify: iters left: 4 (38 enodes) 1548151345.829 * * [misc]simplify: iters left: 3 (58 enodes) 1548151345.845 * * [misc]simplify: iters left: 2 (99 enodes) 1548151345.874 * * [misc]simplify: iters left: 1 (139 enodes) 1548151345.901 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151345.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151345.902 * * * * [misc]progress: [ 136 / 310 ] simplifiying candidate # 1548151345.902 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151345.902 * * [misc]simplify: iters left: 6 (18 enodes) 1548151345.905 * * [misc]simplify: iters left: 5 (30 enodes) 1548151345.909 * * [misc]simplify: iters left: 4 (46 enodes) 1548151345.915 * * [misc]simplify: iters left: 3 (76 enodes) 1548151345.926 * * [misc]simplify: iters left: 2 (129 enodes) 1548151345.956 * * [misc]simplify: iters left: 1 (175 enodes) 1548151345.997 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548151345.997 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151345.997 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151345.998 * * [misc]simplify: iters left: 6 (18 enodes) 1548151346.003 * * [misc]simplify: iters left: 5 (28 enodes) 1548151346.011 * * [misc]simplify: iters left: 4 (38 enodes) 1548151346.022 * * [misc]simplify: iters left: 3 (58 enodes) 1548151346.038 * * [misc]simplify: iters left: 2 (99 enodes) 1548151346.063 * * [misc]simplify: iters left: 1 (139 enodes) 1548151346.092 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151346.092 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151346.092 * * * * [misc]progress: [ 137 / 310 ] simplifiying candidate # 1548151346.093 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151346.093 * * [misc]simplify: iters left: 6 (17 enodes) 1548151346.098 * * [misc]simplify: iters left: 5 (27 enodes) 1548151346.106 * * [misc]simplify: iters left: 4 (43 enodes) 1548151346.120 * * [misc]simplify: iters left: 3 (73 enodes) 1548151346.143 * * [misc]simplify: iters left: 2 (126 enodes) 1548151346.171 * * [misc]simplify: iters left: 1 (172 enodes) 1548151346.191 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151346.191 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151346.192 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151346.192 * * [misc]simplify: iters left: 6 (15 enodes) 1548151346.196 * * [misc]simplify: iters left: 5 (23 enodes) 1548151346.202 * * [misc]simplify: iters left: 4 (35 enodes) 1548151346.210 * * [misc]simplify: iters left: 3 (55 enodes) 1548151346.218 * * [misc]simplify: iters left: 2 (96 enodes) 1548151346.233 * * [misc]simplify: iters left: 1 (136 enodes) 1548151346.254 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151346.254 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151346.254 * * * * [misc]progress: [ 138 / 310 ] simplifiying candidate # 1548151346.255 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151346.255 * * [misc]simplify: iters left: 6 (20 enodes) 1548151346.261 * * [misc]simplify: iters left: 5 (33 enodes) 1548151346.270 * * [misc]simplify: iters left: 4 (53 enodes) 1548151346.286 * * [misc]simplify: iters left: 3 (97 enodes) 1548151346.306 * * [misc]simplify: iters left: 2 (177 enodes) 1548151346.335 * * [misc]simplify: iters left: 1 (248 enodes) 1548151346.395 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1548151346.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151346.395 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151346.396 * * [misc]simplify: iters left: 6 (18 enodes) 1548151346.398 * * [misc]simplify: iters left: 5 (27 enodes) 1548151346.402 * * [misc]simplify: iters left: 4 (39 enodes) 1548151346.407 * * [misc]simplify: iters left: 3 (59 enodes) 1548151346.415 * * [misc]simplify: iters left: 2 (100 enodes) 1548151346.435 * * [misc]simplify: iters left: 1 (140 enodes) 1548151346.462 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151346.462 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548151346.462 * * * * [misc]progress: [ 139 / 310 ] simplifiying candidate # 1548151346.462 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151346.462 * * [misc]simplify: iters left: 6 (19 enodes) 1548151346.465 * * [misc]simplify: iters left: 5 (30 enodes) 1548151346.469 * * [misc]simplify: iters left: 4 (46 enodes) 1548151346.477 * * [misc]simplify: iters left: 3 (76 enodes) 1548151346.489 * * [misc]simplify: iters left: 2 (129 enodes) 1548151346.506 * * [misc]simplify: iters left: 1 (175 enodes) 1548151346.529 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151346.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151346.530 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151346.530 * * [misc]simplify: iters left: 6 (18 enodes) 1548151346.535 * * [misc]simplify: iters left: 5 (27 enodes) 1548151346.543 * * [misc]simplify: iters left: 4 (39 enodes) 1548151346.554 * * [misc]simplify: iters left: 3 (59 enodes) 1548151346.569 * * [misc]simplify: iters left: 2 (100 enodes) 1548151346.596 * * [misc]simplify: iters left: 1 (140 enodes) 1548151346.625 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151346.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548151346.625 * * * * [misc]progress: [ 140 / 310 ] simplifiying candidate # 1548151346.625 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1548151346.625 * * [misc]simplify: iters left: 6 (16 enodes) 1548151346.630 * * [misc]simplify: iters left: 5 (28 enodes) 1548151346.641 * * [misc]simplify: iters left: 4 (45 enodes) 1548151346.653 * * [misc]simplify: iters left: 3 (74 enodes) 1548151346.671 * * [misc]simplify: iters left: 2 (115 enodes) 1548151346.699 * * [misc]simplify: iters left: 1 (159 enodes) 1548151346.730 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151346.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151346.730 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151346.730 * * [misc]simplify: iters left: 6 (17 enodes) 1548151346.733 * * [misc]simplify: iters left: 5 (26 enodes) 1548151346.737 * * [misc]simplify: iters left: 4 (38 enodes) 1548151346.742 * * [misc]simplify: iters left: 3 (58 enodes) 1548151346.750 * * [misc]simplify: iters left: 2 (99 enodes) 1548151346.768 * * [misc]simplify: iters left: 1 (139 enodes) 1548151346.797 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151346.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151346.797 * * * * [misc]progress: [ 141 / 310 ] simplifiying candidate # 1548151346.798 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1548151346.798 * * [misc]simplify: iters left: 6 (17 enodes) 1548151346.802 * * [misc]simplify: iters left: 5 (31 enodes) 1548151346.806 * * [misc]simplify: iters left: 4 (47 enodes) 1548151346.813 * * [misc]simplify: iters left: 3 (80 enodes) 1548151346.824 * * [misc]simplify: iters left: 2 (143 enodes) 1548151346.848 * * [misc]simplify: iters left: 1 (242 enodes) 1548151346.886 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151346.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151346.886 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151346.886 * * [misc]simplify: iters left: 6 (17 enodes) 1548151346.888 * * [misc]simplify: iters left: 5 (27 enodes) 1548151346.892 * * [misc]simplify: iters left: 4 (37 enodes) 1548151346.898 * * [misc]simplify: iters left: 3 (57 enodes) 1548151346.905 * * [misc]simplify: iters left: 2 (98 enodes) 1548151346.926 * * [misc]simplify: iters left: 1 (138 enodes) 1548151346.954 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1548151346.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548151346.954 * * * * [misc]progress: [ 142 / 310 ] simplifiying candidate # 1548151346.955 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1548151346.955 * * [misc]simplify: iters left: 6 (17 enodes) 1548151346.960 * * [misc]simplify: iters left: 5 (31 enodes) 1548151346.968 * * [misc]simplify: iters left: 4 (47 enodes) 1548151346.979 * * [misc]simplify: iters left: 3 (80 enodes) 1548151346.991 * * [misc]simplify: iters left: 2 (143 enodes) 1548151347.012 * * [misc]simplify: iters left: 1 (242 enodes) 1548151347.064 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151347.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151347.064 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151347.064 * * [misc]simplify: iters left: 6 (17 enodes) 1548151347.067 * * [misc]simplify: iters left: 5 (27 enodes) 1548151347.070 * * [misc]simplify: iters left: 4 (37 enodes) 1548151347.075 * * [misc]simplify: iters left: 3 (57 enodes) 1548151347.083 * * [misc]simplify: iters left: 2 (98 enodes) 1548151347.096 * * [misc]simplify: iters left: 1 (138 enodes) 1548151347.111 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1548151347.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548151347.112 * * * * [misc]progress: [ 143 / 310 ] simplifiying candidate # 1548151347.112 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151347.112 * * [misc]simplify: iters left: 6 (16 enodes) 1548151347.114 * * [misc]simplify: iters left: 5 (28 enodes) 1548151347.120 * * [misc]simplify: iters left: 4 (44 enodes) 1548151347.134 * * [misc]simplify: iters left: 3 (77 enodes) 1548151347.157 * * [misc]simplify: iters left: 2 (165 enodes) 1548151347.191 * * [misc]simplify: iters left: 1 (333 enodes) 1548151347.312 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151347.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151347.313 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151347.313 * * [misc]simplify: iters left: 6 (14 enodes) 1548151347.315 * * [misc]simplify: iters left: 5 (22 enodes) 1548151347.318 * * [misc]simplify: iters left: 4 (34 enodes) 1548151347.323 * * [misc]simplify: iters left: 3 (54 enodes) 1548151347.331 * * [misc]simplify: iters left: 2 (95 enodes) 1548151347.351 * * [misc]simplify: iters left: 1 (135 enodes) 1548151347.375 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151347.375 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151347.375 * * * * [misc]progress: [ 144 / 310 ] simplifiying candidate # 1548151347.375 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151347.376 * * [misc]simplify: iters left: 6 (19 enodes) 1548151347.381 * * [misc]simplify: iters left: 5 (34 enodes) 1548151347.390 * * [misc]simplify: iters left: 4 (54 enodes) 1548151347.404 * * [misc]simplify: iters left: 3 (99 enodes) 1548151347.435 * * [misc]simplify: iters left: 2 (208 enodes) 1548151347.532 * * [misc]simplify: iters left: 1 (492 enodes) 1548151347.842 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151347.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151347.842 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151347.842 * * [misc]simplify: iters left: 6 (17 enodes) 1548151347.847 * * [misc]simplify: iters left: 5 (26 enodes) 1548151347.855 * * [misc]simplify: iters left: 4 (38 enodes) 1548151347.866 * * [misc]simplify: iters left: 3 (58 enodes) 1548151347.885 * * [misc]simplify: iters left: 2 (99 enodes) 1548151347.911 * * [misc]simplify: iters left: 1 (139 enodes) 1548151347.941 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151347.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151347.941 * * * * [misc]progress: [ 145 / 310 ] simplifiying candidate # 1548151347.941 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151347.941 * * [misc]simplify: iters left: 6 (18 enodes) 1548151347.947 * * [misc]simplify: iters left: 5 (31 enodes) 1548151347.956 * * [misc]simplify: iters left: 4 (47 enodes) 1548151347.970 * * [misc]simplify: iters left: 3 (80 enodes) 1548151347.994 * * [misc]simplify: iters left: 2 (143 enodes) 1548151348.023 * * [misc]simplify: iters left: 1 (241 enodes) 1548151348.088 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151348.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151348.089 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151348.089 * * [misc]simplify: iters left: 6 (17 enodes) 1548151348.094 * * [misc]simplify: iters left: 5 (26 enodes) 1548151348.101 * * [misc]simplify: iters left: 4 (38 enodes) 1548151348.112 * * [misc]simplify: iters left: 3 (58 enodes) 1548151348.127 * * [misc]simplify: iters left: 2 (99 enodes) 1548151348.156 * * [misc]simplify: iters left: 1 (139 enodes) 1548151348.177 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151348.177 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151348.177 * * * * [misc]progress: [ 146 / 310 ] simplifiying candidate # 1548151348.178 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 1)) 1548151348.178 * * [misc]simplify: iters left: 6 (14 enodes) 1548151348.180 * * [misc]simplify: iters left: 5 (24 enodes) 1548151348.183 * * [misc]simplify: iters left: 4 (33 enodes) 1548151348.188 * * [misc]simplify: iters left: 3 (59 enodes) 1548151348.196 * * [misc]simplify: iters left: 2 (111 enodes) 1548151348.223 * * [misc]simplify: iters left: 1 (177 enodes) 1548151348.252 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151348.252 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151348.252 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151348.252 * * [misc]simplify: iters left: 6 (16 enodes) 1548151348.254 * * [misc]simplify: iters left: 5 (25 enodes) 1548151348.258 * * [misc]simplify: iters left: 4 (37 enodes) 1548151348.263 * * [misc]simplify: iters left: 3 (57 enodes) 1548151348.275 * * [misc]simplify: iters left: 2 (98 enodes) 1548151348.297 * * [misc]simplify: iters left: 1 (138 enodes) 1548151348.323 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151348.323 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151348.323 * * * * [misc]progress: [ 147 / 310 ] simplifiying candidate # 1548151348.323 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1) 1548151348.324 * * [misc]simplify: iters left: 6 (13 enodes) 1548151348.327 * * [misc]simplify: iters left: 5 (23 enodes) 1548151348.333 * * [misc]simplify: iters left: 4 (38 enodes) 1548151348.342 * * [misc]simplify: iters left: 3 (58 enodes) 1548151348.357 * * [misc]simplify: iters left: 2 (103 enodes) 1548151348.375 * * [misc]simplify: iters left: 1 (141 enodes) 1548151348.388 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151348.389 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151348.389 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151348.389 * * [misc]simplify: iters left: 6 (16 enodes) 1548151348.394 * * [misc]simplify: iters left: 5 (25 enodes) 1548151348.400 * * [misc]simplify: iters left: 4 (37 enodes) 1548151348.409 * * [misc]simplify: iters left: 3 (57 enodes) 1548151348.422 * * [misc]simplify: iters left: 2 (98 enodes) 1548151348.442 * * [misc]simplify: iters left: 1 (138 enodes) 1548151348.459 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151348.459 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151348.459 * * * * [misc]progress: [ 148 / 310 ] simplifiying candidate # 1548151348.459 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt k)) 1548151348.459 * * [misc]simplify: iters left: 6 (13 enodes) 1548151348.461 * * [misc]simplify: iters left: 5 (21 enodes) 1548151348.464 * * [misc]simplify: iters left: 4 (32 enodes) 1548151348.469 * * [misc]simplify: iters left: 3 (51 enodes) 1548151348.476 * * [misc]simplify: iters left: 2 (92 enodes) 1548151348.489 * * [misc]simplify: iters left: 1 (132 enodes) 1548151348.511 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151348.511 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151348.511 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151348.511 * * [misc]simplify: iters left: 6 (16 enodes) 1548151348.516 * * [misc]simplify: iters left: 5 (27 enodes) 1548151348.522 * * [misc]simplify: iters left: 4 (39 enodes) 1548151348.533 * * [misc]simplify: iters left: 3 (67 enodes) 1548151348.552 * * [misc]simplify: iters left: 2 (109 enodes) 1548151348.565 * * [misc]simplify: iters left: 1 (152 enodes) 1548151348.582 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151348.582 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1548151348.583 * * * * [misc]progress: [ 149 / 310 ] simplifiying candidate # 1548151348.583 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151348.583 * * [misc]simplify: iters left: 6 (17 enodes) 1548151348.588 * * [misc]simplify: iters left: 5 (29 enodes) 1548151348.595 * * [misc]simplify: iters left: 4 (45 enodes) 1548151348.606 * * [misc]simplify: iters left: 3 (75 enodes) 1548151348.621 * * [misc]simplify: iters left: 2 (128 enodes) 1548151348.640 * * [misc]simplify: iters left: 1 (174 enodes) 1548151348.674 * [exit]simplify: Simplified to (* (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))) 1548151348.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1548151348.675 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1548151348.676 * * [misc]simplify: iters left: 6 (14 enodes) 1548151348.680 * * [misc]simplify: iters left: 5 (21 enodes) 1548151348.685 * * [misc]simplify: iters left: 4 (30 enodes) 1548151348.694 * * [misc]simplify: iters left: 3 (48 enodes) 1548151348.708 * * [misc]simplify: iters left: 2 (89 enodes) 1548151348.731 * * [misc]simplify: iters left: 1 (129 enodes) 1548151348.756 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1548151348.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1548151348.756 * * * * [misc]progress: [ 150 / 310 ] simplifiying candidate # 1548151348.756 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151348.756 * * [misc]simplify: iters left: 6 (18 enodes) 1548151348.759 * * [misc]simplify: iters left: 5 (27 enodes) 1548151348.762 * * [misc]simplify: iters left: 4 (36 enodes) 1548151348.769 * * [misc]simplify: iters left: 3 (54 enodes) 1548151348.777 * * [misc]simplify: iters left: 2 (95 enodes) 1548151348.795 * * [misc]simplify: iters left: 1 (135 enodes) 1548151348.810 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151348.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151348.810 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151348.811 * * [misc]simplify: iters left: 6 (17 enodes) 1548151348.813 * * [misc]simplify: iters left: 5 (24 enodes) 1548151348.816 * * [misc]simplify: iters left: 4 (33 enodes) 1548151348.821 * * [misc]simplify: iters left: 3 (51 enodes) 1548151348.832 * * [misc]simplify: iters left: 2 (92 enodes) 1548151348.850 * * [misc]simplify: iters left: 1 (132 enodes) 1548151348.867 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151348.867 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151348.867 * * * * [misc]progress: [ 151 / 310 ] simplifiying candidate # 1548151348.867 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151348.867 * * [misc]simplify: iters left: 6 (17 enodes) 1548151348.869 * * [misc]simplify: iters left: 5 (24 enodes) 1548151348.873 * * [misc]simplify: iters left: 4 (33 enodes) 1548151348.877 * * [misc]simplify: iters left: 3 (51 enodes) 1548151348.888 * * [misc]simplify: iters left: 2 (92 enodes) 1548151348.909 * * [misc]simplify: iters left: 1 (132 enodes) 1548151348.923 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151348.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151348.923 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151348.923 * * [misc]simplify: iters left: 6 (17 enodes) 1548151348.926 * * [misc]simplify: iters left: 5 (24 enodes) 1548151348.929 * * [misc]simplify: iters left: 4 (33 enodes) 1548151348.933 * * [misc]simplify: iters left: 3 (51 enodes) 1548151348.942 * * [misc]simplify: iters left: 2 (92 enodes) 1548151348.954 * * [misc]simplify: iters left: 1 (132 enodes) 1548151348.968 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151348.968 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151348.968 * * * * [misc]progress: [ 152 / 310 ] simplifiying candidate # 1548151348.968 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151348.969 * * [misc]simplify: iters left: 6 (18 enodes) 1548151348.974 * * [misc]simplify: iters left: 5 (30 enodes) 1548151348.983 * * [misc]simplify: iters left: 4 (46 enodes) 1548151348.996 * * [misc]simplify: iters left: 3 (76 enodes) 1548151349.011 * * [misc]simplify: iters left: 2 (122 enodes) 1548151349.030 * * [misc]simplify: iters left: 1 (169 enodes) 1548151349.049 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1548151349.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151349.049 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151349.049 * * [misc]simplify: iters left: 6 (18 enodes) 1548151349.052 * * [misc]simplify: iters left: 5 (28 enodes) 1548151349.056 * * [misc]simplify: iters left: 4 (38 enodes) 1548151349.061 * * [misc]simplify: iters left: 3 (58 enodes) 1548151349.069 * * [misc]simplify: iters left: 2 (99 enodes) 1548151349.082 * * [misc]simplify: iters left: 1 (139 enodes) 1548151349.097 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151349.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151349.098 * * * * [misc]progress: [ 153 / 310 ] simplifiying candidate # 1548151349.098 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151349.098 * * [misc]simplify: iters left: 6 (18 enodes) 1548151349.103 * * [misc]simplify: iters left: 5 (30 enodes) 1548151349.113 * * [misc]simplify: iters left: 4 (46 enodes) 1548151349.127 * * [misc]simplify: iters left: 3 (76 enodes) 1548151349.148 * * [misc]simplify: iters left: 2 (122 enodes) 1548151349.179 * * [misc]simplify: iters left: 1 (169 enodes) 1548151349.198 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1548151349.198 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151349.198 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151349.198 * * [misc]simplify: iters left: 6 (18 enodes) 1548151349.201 * * [misc]simplify: iters left: 5 (28 enodes) 1548151349.205 * * [misc]simplify: iters left: 4 (38 enodes) 1548151349.211 * * [misc]simplify: iters left: 3 (58 enodes) 1548151349.220 * * [misc]simplify: iters left: 2 (99 enodes) 1548151349.246 * * [misc]simplify: iters left: 1 (139 enodes) 1548151349.276 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151349.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151349.277 * * * * [misc]progress: [ 154 / 310 ] simplifiying candidate # 1548151349.277 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151349.277 * * [misc]simplify: iters left: 6 (17 enodes) 1548151349.282 * * [misc]simplify: iters left: 5 (27 enodes) 1548151349.290 * * [misc]simplify: iters left: 4 (43 enodes) 1548151349.303 * * [misc]simplify: iters left: 3 (73 enodes) 1548151349.316 * * [misc]simplify: iters left: 2 (119 enodes) 1548151349.334 * * [misc]simplify: iters left: 1 (166 enodes) 1548151349.362 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151349.362 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151349.363 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151349.363 * * [misc]simplify: iters left: 6 (15 enodes) 1548151349.368 * * [misc]simplify: iters left: 5 (23 enodes) 1548151349.374 * * [misc]simplify: iters left: 4 (35 enodes) 1548151349.384 * * [misc]simplify: iters left: 3 (55 enodes) 1548151349.399 * * [misc]simplify: iters left: 2 (96 enodes) 1548151349.415 * * [misc]simplify: iters left: 1 (136 enodes) 1548151349.429 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151349.429 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151349.429 * * * * [misc]progress: [ 155 / 310 ] simplifiying candidate # 1548151349.429 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151349.430 * * [misc]simplify: iters left: 6 (20 enodes) 1548151349.433 * * [misc]simplify: iters left: 5 (35 enodes) 1548151349.440 * * [misc]simplify: iters left: 4 (62 enodes) 1548151349.451 * * [misc]simplify: iters left: 3 (105 enodes) 1548151349.483 * * [misc]simplify: iters left: 2 (180 enodes) 1548151349.536 * * [misc]simplify: iters left: 1 (243 enodes) 1548151349.601 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151349.601 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151349.601 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151349.602 * * [misc]simplify: iters left: 6 (18 enodes) 1548151349.607 * * [misc]simplify: iters left: 5 (27 enodes) 1548151349.615 * * [misc]simplify: iters left: 4 (39 enodes) 1548151349.626 * * [misc]simplify: iters left: 3 (59 enodes) 1548151349.634 * * [misc]simplify: iters left: 2 (100 enodes) 1548151349.648 * * [misc]simplify: iters left: 1 (140 enodes) 1548151349.668 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548151349.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548151349.668 * * * * [misc]progress: [ 156 / 310 ] simplifiying candidate # 1548151349.668 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151349.668 * * [misc]simplify: iters left: 6 (19 enodes) 1548151349.673 * * [misc]simplify: iters left: 5 (30 enodes) 1548151349.677 * * [misc]simplify: iters left: 4 (46 enodes) 1548151349.684 * * [misc]simplify: iters left: 3 (76 enodes) 1548151349.695 * * [misc]simplify: iters left: 2 (122 enodes) 1548151349.724 * * [misc]simplify: iters left: 1 (169 enodes) 1548151349.760 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151349.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151349.761 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151349.761 * * [misc]simplify: iters left: 6 (18 enodes) 1548151349.765 * * [misc]simplify: iters left: 5 (27 enodes) 1548151349.769 * * [misc]simplify: iters left: 4 (39 enodes) 1548151349.774 * * [misc]simplify: iters left: 3 (59 enodes) 1548151349.784 * * [misc]simplify: iters left: 2 (100 enodes) 1548151349.801 * * [misc]simplify: iters left: 1 (140 enodes) 1548151349.821 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548151349.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548151349.821 * * * * [misc]progress: [ 157 / 310 ] simplifiying candidate # 1548151349.821 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151349.821 * * [misc]simplify: iters left: 6 (16 enodes) 1548151349.824 * * [misc]simplify: iters left: 5 (28 enodes) 1548151349.828 * * [misc]simplify: iters left: 4 (48 enodes) 1548151349.835 * * [misc]simplify: iters left: 3 (87 enodes) 1548151349.855 * * [misc]simplify: iters left: 2 (192 enodes) 1548151349.928 * * [misc]simplify: iters left: 1 (283 enodes) 1548151349.978 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151349.978 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151349.978 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151349.978 * * [misc]simplify: iters left: 6 (17 enodes) 1548151349.984 * * [misc]simplify: iters left: 5 (26 enodes) 1548151349.990 * * [misc]simplify: iters left: 4 (38 enodes) 1548151349.995 * * [misc]simplify: iters left: 3 (58 enodes) 1548151350.005 * * [misc]simplify: iters left: 2 (99 enodes) 1548151350.018 * * [misc]simplify: iters left: 1 (139 enodes) 1548151350.045 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151350.045 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151350.045 * * * * [misc]progress: [ 158 / 310 ] simplifiying candidate # 1548151350.045 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151350.046 * * [misc]simplify: iters left: 6 (17 enodes) 1548151350.051 * * [misc]simplify: iters left: 5 (27 enodes) 1548151350.058 * * [misc]simplify: iters left: 4 (39 enodes) 1548151350.069 * * [misc]simplify: iters left: 3 (59 enodes) 1548151350.086 * * [misc]simplify: iters left: 2 (100 enodes) 1548151350.111 * * [misc]simplify: iters left: 1 (140 enodes) 1548151350.141 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548151350.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151350.142 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151350.142 * * [misc]simplify: iters left: 6 (18 enodes) 1548151350.148 * * [misc]simplify: iters left: 5 (28 enodes) 1548151350.155 * * [misc]simplify: iters left: 4 (38 enodes) 1548151350.166 * * [misc]simplify: iters left: 3 (58 enodes) 1548151350.177 * * [misc]simplify: iters left: 2 (99 enodes) 1548151350.190 * * [misc]simplify: iters left: 1 (139 enodes) 1548151350.209 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151350.209 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151350.209 * * * * [misc]progress: [ 159 / 310 ] simplifiying candidate # 1548151350.209 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151350.209 * * [misc]simplify: iters left: 6 (17 enodes) 1548151350.211 * * [misc]simplify: iters left: 5 (27 enodes) 1548151350.215 * * [misc]simplify: iters left: 4 (39 enodes) 1548151350.222 * * [misc]simplify: iters left: 3 (59 enodes) 1548151350.230 * * [misc]simplify: iters left: 2 (100 enodes) 1548151350.244 * * [misc]simplify: iters left: 1 (140 enodes) 1548151350.267 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548151350.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151350.267 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151350.267 * * [misc]simplify: iters left: 6 (18 enodes) 1548151350.273 * * [misc]simplify: iters left: 5 (28 enodes) 1548151350.280 * * [misc]simplify: iters left: 4 (38 enodes) 1548151350.290 * * [misc]simplify: iters left: 3 (58 enodes) 1548151350.298 * * [misc]simplify: iters left: 2 (99 enodes) 1548151350.314 * * [misc]simplify: iters left: 1 (139 enodes) 1548151350.338 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548151350.338 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548151350.339 * * * * [misc]progress: [ 160 / 310 ] simplifiying candidate # 1548151350.339 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151350.339 * * [misc]simplify: iters left: 6 (16 enodes) 1548151350.341 * * [misc]simplify: iters left: 5 (24 enodes) 1548151350.344 * * [misc]simplify: iters left: 4 (36 enodes) 1548151350.350 * * [misc]simplify: iters left: 3 (56 enodes) 1548151350.358 * * [misc]simplify: iters left: 2 (97 enodes) 1548151350.371 * * [misc]simplify: iters left: 1 (137 enodes) 1548151350.393 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151350.393 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151350.394 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151350.394 * * [misc]simplify: iters left: 6 (15 enodes) 1548151350.399 * * [misc]simplify: iters left: 5 (23 enodes) 1548151350.405 * * [misc]simplify: iters left: 4 (35 enodes) 1548151350.412 * * [misc]simplify: iters left: 3 (55 enodes) 1548151350.421 * * [misc]simplify: iters left: 2 (96 enodes) 1548151350.433 * * [misc]simplify: iters left: 1 (136 enodes) 1548151350.457 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151350.457 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151350.457 * * * * [misc]progress: [ 161 / 310 ] simplifiying candidate # 1548151350.457 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151350.457 * * [misc]simplify: iters left: 6 (19 enodes) 1548151350.460 * * [misc]simplify: iters left: 5 (30 enodes) 1548151350.465 * * [misc]simplify: iters left: 4 (44 enodes) 1548151350.471 * * [misc]simplify: iters left: 3 (71 enodes) 1548151350.483 * * [misc]simplify: iters left: 2 (120 enodes) 1548151350.517 * * [misc]simplify: iters left: 1 (162 enodes) 1548151350.534 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151350.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151350.535 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151350.535 * * [misc]simplify: iters left: 6 (18 enodes) 1548151350.537 * * [misc]simplify: iters left: 5 (27 enodes) 1548151350.541 * * [misc]simplify: iters left: 4 (39 enodes) 1548151350.548 * * [misc]simplify: iters left: 3 (59 enodes) 1548151350.564 * * [misc]simplify: iters left: 2 (100 enodes) 1548151350.589 * * [misc]simplify: iters left: 1 (140 enodes) 1548151350.616 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151350.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548151350.617 * * * * [misc]progress: [ 162 / 310 ] simplifiying candidate # 1548151350.617 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151350.617 * * [misc]simplify: iters left: 6 (18 enodes) 1548151350.625 * * [misc]simplify: iters left: 5 (27 enodes) 1548151350.633 * * [misc]simplify: iters left: 4 (39 enodes) 1548151350.645 * * [misc]simplify: iters left: 3 (59 enodes) 1548151350.661 * * [misc]simplify: iters left: 2 (100 enodes) 1548151350.688 * * [misc]simplify: iters left: 1 (140 enodes) 1548151350.715 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151350.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151350.715 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151350.715 * * [misc]simplify: iters left: 6 (18 enodes) 1548151350.718 * * [misc]simplify: iters left: 5 (27 enodes) 1548151350.722 * * [misc]simplify: iters left: 4 (39 enodes) 1548151350.728 * * [misc]simplify: iters left: 3 (59 enodes) 1548151350.736 * * [misc]simplify: iters left: 2 (100 enodes) 1548151350.759 * * [misc]simplify: iters left: 1 (140 enodes) 1548151350.788 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548151350.788 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548151350.788 * * * * [misc]progress: [ 163 / 310 ] simplifiying candidate # 1548151350.789 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1548151350.789 * * [misc]simplify: iters left: 6 (15 enodes) 1548151350.793 * * [misc]simplify: iters left: 5 (25 enodes) 1548151350.801 * * [misc]simplify: iters left: 4 (41 enodes) 1548151350.813 * * [misc]simplify: iters left: 3 (63 enodes) 1548151350.829 * * [misc]simplify: iters left: 2 (103 enodes) 1548151350.841 * * [misc]simplify: iters left: 1 (141 enodes) 1548151350.855 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151350.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151350.855 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151350.856 * * [misc]simplify: iters left: 6 (17 enodes) 1548151350.859 * * [misc]simplify: iters left: 5 (26 enodes) 1548151350.863 * * [misc]simplify: iters left: 4 (38 enodes) 1548151350.868 * * [misc]simplify: iters left: 3 (58 enodes) 1548151350.876 * * [misc]simplify: iters left: 2 (99 enodes) 1548151350.889 * * [misc]simplify: iters left: 1 (139 enodes) 1548151350.903 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151350.903 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548151350.903 * * * * [misc]progress: [ 164 / 310 ] simplifiying candidate # 1548151350.903 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1548151350.904 * * [misc]simplify: iters left: 6 (16 enodes) 1548151350.906 * * [misc]simplify: iters left: 5 (28 enodes) 1548151350.909 * * [misc]simplify: iters left: 4 (40 enodes) 1548151350.915 * * [misc]simplify: iters left: 3 (68 enodes) 1548151350.925 * * [misc]simplify: iters left: 2 (110 enodes) 1548151350.940 * * [misc]simplify: iters left: 1 (153 enodes) 1548151350.957 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1548151350.957 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151350.957 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151350.957 * * [misc]simplify: iters left: 6 (17 enodes) 1548151350.962 * * [misc]simplify: iters left: 5 (27 enodes) 1548151350.970 * * [misc]simplify: iters left: 4 (37 enodes) 1548151350.981 * * [misc]simplify: iters left: 3 (57 enodes) 1548151350.996 * * [misc]simplify: iters left: 2 (98 enodes) 1548151351.022 * * [misc]simplify: iters left: 1 (138 enodes) 1548151351.044 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1548151351.044 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548151351.044 * * * * [misc]progress: [ 165 / 310 ] simplifiying candidate # 1548151351.044 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1548151351.044 * * [misc]simplify: iters left: 6 (16 enodes) 1548151351.047 * * [misc]simplify: iters left: 5 (28 enodes) 1548151351.051 * * [misc]simplify: iters left: 4 (40 enodes) 1548151351.057 * * [misc]simplify: iters left: 3 (68 enodes) 1548151351.066 * * [misc]simplify: iters left: 2 (110 enodes) 1548151351.080 * * [misc]simplify: iters left: 1 (153 enodes) 1548151351.095 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1548151351.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151351.096 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151351.096 * * [misc]simplify: iters left: 6 (17 enodes) 1548151351.101 * * [misc]simplify: iters left: 5 (27 enodes) 1548151351.108 * * [misc]simplify: iters left: 4 (37 enodes) 1548151351.119 * * [misc]simplify: iters left: 3 (57 enodes) 1548151351.136 * * [misc]simplify: iters left: 2 (98 enodes) 1548151351.161 * * [misc]simplify: iters left: 1 (138 enodes) 1548151351.181 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1548151351.181 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548151351.181 * * * * [misc]progress: [ 166 / 310 ] simplifiying candidate # 1548151351.182 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151351.182 * * [misc]simplify: iters left: 6 (15 enodes) 1548151351.184 * * [misc]simplify: iters left: 5 (25 enodes) 1548151351.188 * * [misc]simplify: iters left: 4 (37 enodes) 1548151351.193 * * [misc]simplify: iters left: 3 (65 enodes) 1548151351.208 * * [misc]simplify: iters left: 2 (107 enodes) 1548151351.231 * * [misc]simplify: iters left: 1 (150 enodes) 1548151351.248 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1548151351.248 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151351.248 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151351.248 * * [misc]simplify: iters left: 6 (14 enodes) 1548151351.251 * * [misc]simplify: iters left: 5 (22 enodes) 1548151351.255 * * [misc]simplify: iters left: 4 (34 enodes) 1548151351.264 * * [misc]simplify: iters left: 3 (54 enodes) 1548151351.279 * * [misc]simplify: iters left: 2 (95 enodes) 1548151351.297 * * [misc]simplify: iters left: 1 (135 enodes) 1548151351.311 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151351.311 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151351.311 * * * * [misc]progress: [ 167 / 310 ] simplifiying candidate # 1548151351.311 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151351.311 * * [misc]simplify: iters left: 6 (18 enodes) 1548151351.314 * * [misc]simplify: iters left: 5 (31 enodes) 1548151351.318 * * [misc]simplify: iters left: 4 (45 enodes) 1548151351.330 * * [misc]simplify: iters left: 3 (77 enodes) 1548151351.355 * * [misc]simplify: iters left: 2 (124 enodes) 1548151351.386 * * [misc]simplify: iters left: 1 (167 enodes) 1548151351.422 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151351.422 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151351.423 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151351.423 * * [misc]simplify: iters left: 6 (17 enodes) 1548151351.428 * * [misc]simplify: iters left: 5 (26 enodes) 1548151351.436 * * [misc]simplify: iters left: 4 (38 enodes) 1548151351.447 * * [misc]simplify: iters left: 3 (58 enodes) 1548151351.463 * * [misc]simplify: iters left: 2 (99 enodes) 1548151351.492 * * [misc]simplify: iters left: 1 (139 enodes) 1548151351.507 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151351.507 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151351.507 * * * * [misc]progress: [ 168 / 310 ] simplifiying candidate # 1548151351.507 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151351.507 * * [misc]simplify: iters left: 6 (17 enodes) 1548151351.510 * * [misc]simplify: iters left: 5 (28 enodes) 1548151351.513 * * [misc]simplify: iters left: 4 (40 enodes) 1548151351.519 * * [misc]simplify: iters left: 3 (68 enodes) 1548151351.529 * * [misc]simplify: iters left: 2 (110 enodes) 1548151351.543 * * [misc]simplify: iters left: 1 (153 enodes) 1548151351.574 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548151351.574 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151351.574 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151351.574 * * [misc]simplify: iters left: 6 (17 enodes) 1548151351.581 * * [misc]simplify: iters left: 5 (26 enodes) 1548151351.588 * * [misc]simplify: iters left: 4 (38 enodes) 1548151351.599 * * [misc]simplify: iters left: 3 (58 enodes) 1548151351.616 * * [misc]simplify: iters left: 2 (99 enodes) 1548151351.631 * * [misc]simplify: iters left: 1 (139 enodes) 1548151351.645 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151351.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151351.645 * * * * [misc]progress: [ 169 / 310 ] simplifiying candidate # 1548151351.645 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 1)) 1548151351.645 * * [misc]simplify: iters left: 6 (13 enodes) 1548151351.647 * * [misc]simplify: iters left: 5 (21 enodes) 1548151351.652 * * [misc]simplify: iters left: 4 (30 enodes) 1548151351.660 * * [misc]simplify: iters left: 3 (50 enodes) 1548151351.673 * * [misc]simplify: iters left: 2 (90 enodes) 1548151351.699 * * [misc]simplify: iters left: 1 (128 enodes) 1548151351.717 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151351.717 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151351.717 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151351.717 * * [misc]simplify: iters left: 6 (16 enodes) 1548151351.720 * * [misc]simplify: iters left: 5 (25 enodes) 1548151351.723 * * [misc]simplify: iters left: 4 (37 enodes) 1548151351.729 * * [misc]simplify: iters left: 3 (57 enodes) 1548151351.737 * * [misc]simplify: iters left: 2 (98 enodes) 1548151351.750 * * [misc]simplify: iters left: 1 (138 enodes) 1548151351.765 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151351.766 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151351.766 * * * * [misc]progress: [ 170 / 310 ] simplifiying candidate # 1548151351.766 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1) 1548151351.766 * * [misc]simplify: iters left: 6 (12 enodes) 1548151351.768 * * [misc]simplify: iters left: 5 (20 enodes) 1548151351.771 * * [misc]simplify: iters left: 4 (31 enodes) 1548151351.775 * * [misc]simplify: iters left: 3 (49 enodes) 1548151351.783 * * [misc]simplify: iters left: 2 (89 enodes) 1548151351.794 * * [misc]simplify: iters left: 1 (127 enodes) 1548151351.807 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151351.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151351.808 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151351.808 * * [misc]simplify: iters left: 6 (16 enodes) 1548151351.812 * * [misc]simplify: iters left: 5 (25 enodes) 1548151351.819 * * [misc]simplify: iters left: 4 (37 enodes) 1548151351.829 * * [misc]simplify: iters left: 3 (57 enodes) 1548151351.844 * * [misc]simplify: iters left: 2 (98 enodes) 1548151351.869 * * [misc]simplify: iters left: 1 (138 enodes) 1548151351.889 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151351.890 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151351.890 * * * * [misc]progress: [ 171 / 310 ] simplifiying candidate # 1548151351.890 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)) 1548151351.890 * * [misc]simplify: iters left: 6 (12 enodes) 1548151351.892 * * [misc]simplify: iters left: 5 (18 enodes) 1548151351.894 * * [misc]simplify: iters left: 4 (27 enodes) 1548151351.898 * * [misc]simplify: iters left: 3 (45 enodes) 1548151351.904 * * [misc]simplify: iters left: 2 (86 enodes) 1548151351.919 * * [misc]simplify: iters left: 1 (126 enodes) 1548151351.945 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548151351.945 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151351.945 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151351.946 * * [misc]simplify: iters left: 6 (16 enodes) 1548151351.951 * * [misc]simplify: iters left: 5 (27 enodes) 1548151351.958 * * [misc]simplify: iters left: 4 (39 enodes) 1548151351.970 * * [misc]simplify: iters left: 3 (67 enodes) 1548151351.988 * * [misc]simplify: iters left: 2 (109 enodes) 1548151352.011 * * [misc]simplify: iters left: 1 (152 enodes) 1548151352.027 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548151352.027 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1548151352.027 * * * * [misc]progress: [ 172 / 310 ] simplifiying candidate # 1548151352.027 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548151352.027 * * [misc]simplify: iters left: 6 (16 enodes) 1548151352.030 * * [misc]simplify: iters left: 5 (26 enodes) 1548151352.034 * * [misc]simplify: iters left: 4 (38 enodes) 1548151352.045 * * [misc]simplify: iters left: 3 (58 enodes) 1548151352.062 * * [misc]simplify: iters left: 2 (99 enodes) 1548151352.076 * * [misc]simplify: iters left: 1 (139 enodes) 1548151352.093 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) 1548151352.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1548151352.093 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1548151352.093 * * [misc]simplify: iters left: 6 (14 enodes) 1548151352.095 * * [misc]simplify: iters left: 5 (21 enodes) 1548151352.098 * * [misc]simplify: iters left: 4 (30 enodes) 1548151352.103 * * [misc]simplify: iters left: 3 (48 enodes) 1548151352.110 * * [misc]simplify: iters left: 2 (89 enodes) 1548151352.123 * * [misc]simplify: iters left: 1 (129 enodes) 1548151352.136 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1548151352.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1548151352.136 * * * * [misc]progress: [ 173 / 310 ] simplifiying candidate # 1548151352.136 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151352.136 * * [misc]simplify: iters left: 6 (14 enodes) 1548151352.138 * * [misc]simplify: iters left: 5 (21 enodes) 1548151352.141 * * [misc]simplify: iters left: 4 (24 enodes) 1548151352.144 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151352.144 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151352.145 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151352.145 * * [misc]simplify: iters left: 6 (16 enodes) 1548151352.147 * * [misc]simplify: iters left: 5 (23 enodes) 1548151352.150 * * [misc]simplify: iters left: 4 (32 enodes) 1548151352.155 * * [misc]simplify: iters left: 3 (50 enodes) 1548151352.162 * * [misc]simplify: iters left: 2 (93 enodes) 1548151352.176 * * [misc]simplify: iters left: 1 (137 enodes) 1548151352.197 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151352.197 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151352.197 * * * * [misc]progress: [ 174 / 310 ] simplifiying candidate # 1548151352.198 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151352.198 * * [misc]simplify: iters left: 6 (13 enodes) 1548151352.202 * * [misc]simplify: iters left: 5 (18 enodes) 1548151352.207 * * [misc]simplify: iters left: 4 (21 enodes) 1548151352.212 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151352.212 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151352.213 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151352.213 * * [misc]simplify: iters left: 6 (16 enodes) 1548151352.218 * * [misc]simplify: iters left: 5 (23 enodes) 1548151352.224 * * [misc]simplify: iters left: 4 (32 enodes) 1548151352.233 * * [misc]simplify: iters left: 3 (50 enodes) 1548151352.248 * * [misc]simplify: iters left: 2 (93 enodes) 1548151352.271 * * [misc]simplify: iters left: 1 (137 enodes) 1548151352.288 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151352.289 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548151352.289 * * * * [misc]progress: [ 175 / 310 ] simplifiying candidate # 1548151352.289 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151352.289 * * [misc]simplify: iters left: 6 (12 enodes) 1548151352.291 * * [misc]simplify: iters left: 5 (20 enodes) 1548151352.294 * * [misc]simplify: iters left: 4 (27 enodes) 1548151352.297 * * [misc]simplify: iters left: 3 (37 enodes) 1548151352.304 * * [misc]simplify: iters left: 2 (64 enodes) 1548151352.318 * * [misc]simplify: iters left: 1 (93 enodes) 1548151352.348 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151352.348 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151352.348 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151352.348 * * [misc]simplify: iters left: 6 (17 enodes) 1548151352.354 * * [misc]simplify: iters left: 5 (27 enodes) 1548151352.361 * * [misc]simplify: iters left: 4 (37 enodes) 1548151352.370 * * [misc]simplify: iters left: 3 (57 enodes) 1548151352.378 * * [misc]simplify: iters left: 2 (104 enodes) 1548151352.394 * * [misc]simplify: iters left: 1 (157 enodes) 1548151352.420 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1548151352.420 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548151352.420 * * * * [misc]progress: [ 176 / 310 ] simplifiying candidate # 1548151352.421 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548151352.421 * * [misc]simplify: iters left: 6 (12 enodes) 1548151352.423 * * [misc]simplify: iters left: 5 (20 enodes) 1548151352.425 * * [misc]simplify: iters left: 4 (27 enodes) 1548151352.429 * * [misc]simplify: iters left: 3 (37 enodes) 1548151352.435 * * [misc]simplify: iters left: 2 (64 enodes) 1548151352.444 * * [misc]simplify: iters left: 1 (93 enodes) 1548151352.461 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151352.461 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151352.461 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151352.461 * * [misc]simplify: iters left: 6 (17 enodes) 1548151352.466 * * [misc]simplify: iters left: 5 (27 enodes) 1548151352.474 * * [misc]simplify: iters left: 4 (37 enodes) 1548151352.485 * * [misc]simplify: iters left: 3 (57 enodes) 1548151352.494 * * [misc]simplify: iters left: 2 (104 enodes) 1548151352.511 * * [misc]simplify: iters left: 1 (157 enodes) 1548151352.534 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1548151352.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548151352.534 * * * * [misc]progress: [ 177 / 310 ] simplifiying candidate # 1548151352.535 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548151352.535 * * [misc]simplify: iters left: 6 (13 enodes) 1548151352.539 * * [misc]simplify: iters left: 5 (21 enodes) 1548151352.542 * * [misc]simplify: iters left: 4 (31 enodes) 1548151352.547 * * [misc]simplify: iters left: 3 (51 enodes) 1548151352.558 * * [misc]simplify: iters left: 2 (90 enodes) 1548151352.575 * * [misc]simplify: iters left: 1 (181 enodes) 1548151352.635 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151352.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151352.635 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151352.637 * * [misc]simplify: iters left: 6 (14 enodes) 1548151352.639 * * [misc]simplify: iters left: 5 (22 enodes) 1548151352.642 * * [misc]simplify: iters left: 4 (34 enodes) 1548151352.647 * * [misc]simplify: iters left: 3 (54 enodes) 1548151352.655 * * [misc]simplify: iters left: 2 (101 enodes) 1548151352.669 * * [misc]simplify: iters left: 1 (153 enodes) 1548151352.694 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1548151352.694 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548151352.695 * * * * [misc]progress: [ 178 / 310 ] simplifiying candidate # 1548151352.695 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151352.695 * * [misc]simplify: iters left: 6 (16 enodes) 1548151352.700 * * [misc]simplify: iters left: 5 (29 enodes) 1548151352.709 * * [misc]simplify: iters left: 4 (50 enodes) 1548151352.725 * * [misc]simplify: iters left: 3 (70 enodes) 1548151352.751 * * [misc]simplify: iters left: 2 (169 enodes) 1548151352.813 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548151352.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151352.814 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151352.814 * * [misc]simplify: iters left: 6 (17 enodes) 1548151352.819 * * [misc]simplify: iters left: 5 (26 enodes) 1548151352.824 * * [misc]simplify: iters left: 4 (38 enodes) 1548151352.831 * * [misc]simplify: iters left: 3 (58 enodes) 1548151352.839 * * [misc]simplify: iters left: 2 (105 enodes) 1548151352.854 * * [misc]simplify: iters left: 1 (158 enodes) 1548151352.881 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151352.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151352.881 * * * * [misc]progress: [ 179 / 310 ] simplifiying candidate # 1548151352.881 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151352.881 * * [misc]simplify: iters left: 6 (15 enodes) 1548151352.886 * * [misc]simplify: iters left: 5 (24 enodes) 1548151352.893 * * [misc]simplify: iters left: 4 (34 enodes) 1548151352.903 * * [misc]simplify: iters left: 3 (54 enodes) 1548151352.922 * * [misc]simplify: iters left: 2 (93 enodes) 1548151352.953 * * [misc]simplify: iters left: 1 (182 enodes) 1548151353.035 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548151353.035 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151353.035 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151353.036 * * [misc]simplify: iters left: 6 (17 enodes) 1548151353.041 * * [misc]simplify: iters left: 5 (26 enodes) 1548151353.049 * * [misc]simplify: iters left: 4 (38 enodes) 1548151353.061 * * [misc]simplify: iters left: 3 (58 enodes) 1548151353.078 * * [misc]simplify: iters left: 2 (105 enodes) 1548151353.107 * * [misc]simplify: iters left: 1 (158 enodes) 1548151353.149 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151353.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151353.149 * * * * [misc]progress: [ 180 / 310 ] simplifiying candidate # 1548151353.149 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548151353.149 * * [misc]simplify: iters left: 6 (7 enodes) 1548151353.152 * * [misc]simplify: iters left: 5 (13 enodes) 1548151353.156 * * [misc]simplify: iters left: 4 (22 enodes) 1548151353.161 * * [misc]simplify: iters left: 3 (24 enodes) 1548151353.166 * * [misc]simplify: iters left: 2 (29 enodes) 1548151353.173 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1548151353.173 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151353.173 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151353.173 * * [misc]simplify: iters left: 6 (16 enodes) 1548151353.178 * * [misc]simplify: iters left: 5 (25 enodes) 1548151353.185 * * [misc]simplify: iters left: 4 (37 enodes) 1548151353.194 * * [misc]simplify: iters left: 3 (57 enodes) 1548151353.212 * * [misc]simplify: iters left: 2 (104 enodes) 1548151353.240 * * [misc]simplify: iters left: 1 (157 enodes) 1548151353.280 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151353.280 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151353.280 * * * * [misc]progress: [ 181 / 310 ] simplifiying candidate # 1548151353.281 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151353.281 * * [misc]simplify: iters left: 6 (11 enodes) 1548151353.284 * * [misc]simplify: iters left: 5 (17 enodes) 1548151353.289 * * [misc]simplify: iters left: 4 (20 enodes) 1548151353.294 * * [misc]simplify: iters left: 3 (22 enodes) 1548151353.300 * * [misc]simplify: iters left: 2 (34 enodes) 1548151353.308 * * [misc]simplify: iters left: 1 (42 enodes) 1548151353.316 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1548151353.316 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151353.317 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151353.317 * * [misc]simplify: iters left: 6 (17 enodes) 1548151353.319 * * [misc]simplify: iters left: 5 (27 enodes) 1548151353.323 * * [misc]simplify: iters left: 4 (37 enodes) 1548151353.329 * * [misc]simplify: iters left: 3 (57 enodes) 1548151353.341 * * [misc]simplify: iters left: 2 (104 enodes) 1548151353.362 * * [misc]simplify: iters left: 1 (157 enodes) 1548151353.400 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1548151353.400 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548151353.400 * * * * [misc]progress: [ 182 / 310 ] simplifiying candidate # 1548151353.401 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548151353.401 * * [misc]simplify: iters left: 6 (11 enodes) 1548151353.404 * * [misc]simplify: iters left: 5 (17 enodes) 1548151353.408 * * [misc]simplify: iters left: 4 (20 enodes) 1548151353.413 * * [misc]simplify: iters left: 3 (22 enodes) 1548151353.420 * * [misc]simplify: iters left: 2 (34 enodes) 1548151353.428 * * [misc]simplify: iters left: 1 (42 enodes) 1548151353.437 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1548151353.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151353.437 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548151353.437 * * [misc]simplify: iters left: 6 (17 enodes) 1548151353.443 * * [misc]simplify: iters left: 5 (27 enodes) 1548151353.450 * * [misc]simplify: iters left: 4 (37 enodes) 1548151353.460 * * [misc]simplify: iters left: 3 (57 enodes) 1548151353.478 * * [misc]simplify: iters left: 2 (104 enodes) 1548151353.498 * * [misc]simplify: iters left: 1 (157 enodes) 1548151353.524 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1548151353.524 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548151353.524 * * * * [misc]progress: [ 183 / 310 ] simplifiying candidate # 1548151353.525 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548151353.525 * * [misc]simplify: iters left: 6 (12 enodes) 1548151353.529 * * [misc]simplify: iters left: 5 (18 enodes) 1548151353.534 * * [misc]simplify: iters left: 4 (24 enodes) 1548151353.540 * * [misc]simplify: iters left: 3 (32 enodes) 1548151353.550 * * [misc]simplify: iters left: 2 (41 enodes) 1548151353.560 * * [misc]simplify: iters left: 1 (51 enodes) 1548151353.571 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548151353.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151353.572 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548151353.572 * * [misc]simplify: iters left: 6 (14 enodes) 1548151353.574 * * [misc]simplify: iters left: 5 (22 enodes) 1548151353.577 * * [misc]simplify: iters left: 4 (34 enodes) 1548151353.584 * * [misc]simplify: iters left: 3 (54 enodes) 1548151353.592 * * [misc]simplify: iters left: 2 (101 enodes) 1548151353.611 * * [misc]simplify: iters left: 1 (153 enodes) 1548151353.633 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1548151353.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548151353.633 * * * * [misc]progress: [ 184 / 310 ] simplifiying candidate # 1548151353.633 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151353.633 * * [misc]simplify: iters left: 6 (15 enodes) 1548151353.636 * * [misc]simplify: iters left: 5 (24 enodes) 1548151353.639 * * [misc]simplify: iters left: 4 (32 enodes) 1548151353.643 * * [misc]simplify: iters left: 3 (43 enodes) 1548151353.655 * * [misc]simplify: iters left: 2 (69 enodes) 1548151353.669 * * [misc]simplify: iters left: 1 (119 enodes) 1548151353.706 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151353.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151353.706 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151353.706 * * [misc]simplify: iters left: 6 (17 enodes) 1548151353.713 * * [misc]simplify: iters left: 5 (26 enodes) 1548151353.720 * * [misc]simplify: iters left: 4 (38 enodes) 1548151353.733 * * [misc]simplify: iters left: 3 (58 enodes) 1548151353.749 * * [misc]simplify: iters left: 2 (105 enodes) 1548151353.768 * * [misc]simplify: iters left: 1 (158 enodes) 1548151353.789 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151353.789 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151353.789 * * * * [misc]progress: [ 185 / 310 ] simplifiying candidate # 1548151353.789 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151353.789 * * [misc]simplify: iters left: 6 (14 enodes) 1548151353.791 * * [misc]simplify: iters left: 5 (21 enodes) 1548151353.794 * * [misc]simplify: iters left: 4 (27 enodes) 1548151353.798 * * [misc]simplify: iters left: 3 (35 enodes) 1548151353.805 * * [misc]simplify: iters left: 2 (43 enodes) 1548151353.814 * * [misc]simplify: iters left: 1 (56 enodes) 1548151353.828 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548151353.828 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151353.829 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151353.829 * * [misc]simplify: iters left: 6 (17 enodes) 1548151353.834 * * [misc]simplify: iters left: 5 (26 enodes) 1548151353.842 * * [misc]simplify: iters left: 4 (38 enodes) 1548151353.853 * * [misc]simplify: iters left: 3 (58 enodes) 1548151353.870 * * [misc]simplify: iters left: 2 (105 enodes) 1548151353.902 * * [misc]simplify: iters left: 1 (158 enodes) 1548151353.941 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151353.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151353.941 * * * * [misc]progress: [ 186 / 310 ] simplifiying candidate # 1548151353.942 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1548151353.942 * * [misc]simplify: iters left: 6 (6 enodes) 1548151353.944 * * [misc]simplify: iters left: 5 (10 enodes) 1548151353.947 * * [misc]simplify: iters left: 4 (16 enodes) 1548151353.951 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1548151353.951 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151353.951 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151353.951 * * [misc]simplify: iters left: 6 (16 enodes) 1548151353.956 * * [misc]simplify: iters left: 5 (25 enodes) 1548151353.963 * * [misc]simplify: iters left: 4 (37 enodes) 1548151353.974 * * [misc]simplify: iters left: 3 (57 enodes) 1548151353.990 * * [misc]simplify: iters left: 2 (104 enodes) 1548151354.018 * * [misc]simplify: iters left: 1 (157 enodes) 1548151354.060 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.060 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.060 * * * * [misc]progress: [ 187 / 310 ] simplifiying candidate # 1548151354.061 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1548151354.061 * * [misc]simplify: iters left: 6 (8 enodes) 1548151354.064 * * [misc]simplify: iters left: 5 (14 enodes) 1548151354.067 * * [misc]simplify: iters left: 4 (15 enodes) 1548151354.071 * * [misc]simplify: iters left: 3 (19 enodes) 1548151354.075 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1548151354.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151354.075 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151354.075 * * [misc]simplify: iters left: 6 (16 enodes) 1548151354.080 * * [misc]simplify: iters left: 5 (26 enodes) 1548151354.087 * * [misc]simplify: iters left: 4 (36 enodes) 1548151354.098 * * [misc]simplify: iters left: 3 (56 enodes) 1548151354.110 * * [misc]simplify: iters left: 2 (103 enodes) 1548151354.136 * * [misc]simplify: iters left: 1 (155 enodes) 1548151354.162 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1548151354.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1548151354.162 * * * * [misc]progress: [ 188 / 310 ] simplifiying candidate # 1548151354.163 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1548151354.163 * * [misc]simplify: iters left: 6 (8 enodes) 1548151354.166 * * [misc]simplify: iters left: 5 (14 enodes) 1548151354.170 * * [misc]simplify: iters left: 4 (15 enodes) 1548151354.172 * * [misc]simplify: iters left: 3 (19 enodes) 1548151354.174 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1548151354.174 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151354.175 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548151354.175 * * [misc]simplify: iters left: 6 (16 enodes) 1548151354.179 * * [misc]simplify: iters left: 5 (26 enodes) 1548151354.185 * * [misc]simplify: iters left: 4 (36 enodes) 1548151354.190 * * [misc]simplify: iters left: 3 (56 enodes) 1548151354.198 * * [misc]simplify: iters left: 2 (103 enodes) 1548151354.223 * * [misc]simplify: iters left: 1 (155 enodes) 1548151354.255 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1548151354.255 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1548151354.255 * * * * [misc]progress: [ 189 / 310 ] simplifiying candidate # 1548151354.255 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151354.255 * * [misc]simplify: iters left: 6 (10 enodes) 1548151354.257 * * [misc]simplify: iters left: 5 (16 enodes) 1548151354.259 * * [misc]simplify: iters left: 4 (20 enodes) 1548151354.262 * * [misc]simplify: iters left: 3 (24 enodes) 1548151354.265 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548151354.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151354.265 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548151354.265 * * [misc]simplify: iters left: 6 (13 enodes) 1548151354.267 * * [misc]simplify: iters left: 5 (21 enodes) 1548151354.274 * * [misc]simplify: iters left: 4 (33 enodes) 1548151354.283 * * [misc]simplify: iters left: 3 (53 enodes) 1548151354.299 * * [misc]simplify: iters left: 2 (100 enodes) 1548151354.327 * * [misc]simplify: iters left: 1 (152 enodes) 1548151354.348 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))) 1548151354.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))))) 1548151354.348 * * * * [misc]progress: [ 190 / 310 ] simplifiying candidate # 1548151354.349 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.349 * * [misc]simplify: iters left: 6 (13 enodes) 1548151354.351 * * [misc]simplify: iters left: 5 (22 enodes) 1548151354.354 * * [misc]simplify: iters left: 4 (26 enodes) 1548151354.358 * * [misc]simplify: iters left: 3 (32 enodes) 1548151354.363 * * [misc]simplify: iters left: 2 (34 enodes) 1548151354.369 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151354.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151354.370 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151354.370 * * [misc]simplify: iters left: 6 (16 enodes) 1548151354.372 * * [misc]simplify: iters left: 5 (25 enodes) 1548151354.376 * * [misc]simplify: iters left: 4 (37 enodes) 1548151354.382 * * [misc]simplify: iters left: 3 (57 enodes) 1548151354.393 * * [misc]simplify: iters left: 2 (104 enodes) 1548151354.417 * * [misc]simplify: iters left: 1 (157 enodes) 1548151354.437 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1548151354.437 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1548151354.437 * * * * [misc]progress: [ 191 / 310 ] simplifiying candidate # 1548151354.437 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151354.437 * * [misc]simplify: iters left: 6 (12 enodes) 1548151354.440 * * [misc]simplify: iters left: 5 (19 enodes) 1548151354.444 * * [misc]simplify: iters left: 4 (23 enodes) 1548151354.450 * * [misc]simplify: iters left: 3 (27 enodes) 1548151354.457 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1548151354.457 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151354.457 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151354.457 * * [misc]simplify: iters left: 6 (16 enodes) 1548151354.461 * * [misc]simplify: iters left: 5 (25 enodes) 1548151354.465 * * [misc]simplify: iters left: 4 (37 enodes) 1548151354.470 * * [misc]simplify: iters left: 3 (57 enodes) 1548151354.480 * * [misc]simplify: iters left: 2 (104 enodes) 1548151354.500 * * [misc]simplify: iters left: 1 (157 enodes) 1548151354.538 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1548151354.538 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1548151354.538 * * * * [misc]progress: [ 192 / 310 ] simplifiying candidate # 1548151354.539 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1548151354.539 * * [misc]simplify: iters left: 4 (3 enodes) 1548151354.540 * * [misc]simplify: iters left: 3 (5 enodes) 1548151354.541 * [exit]simplify: Simplified to 1 1548151354.541 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.541 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.541 * * [misc]simplify: iters left: 6 (15 enodes) 1548151354.547 * * [misc]simplify: iters left: 5 (24 enodes) 1548151354.555 * * [misc]simplify: iters left: 4 (36 enodes) 1548151354.565 * * [misc]simplify: iters left: 3 (56 enodes) 1548151354.581 * * [misc]simplify: iters left: 2 (103 enodes) 1548151354.612 * * [misc]simplify: iters left: 1 (155 enodes) 1548151354.639 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548151354.639 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151354.639 * * * * [misc]progress: [ 193 / 310 ] simplifiying candidate # 1548151354.640 * [enter]simplify: Simplifying (/ 1 1) 1548151354.640 * * [misc]simplify: iters left: 2 (2 enodes) 1548151354.640 * * [misc]simplify: iters left: 1 (4 enodes) 1548151354.640 * [exit]simplify: Simplified to 1 1548151354.640 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.640 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.641 * * [misc]simplify: iters left: 6 (15 enodes) 1548151354.643 * * [misc]simplify: iters left: 5 (24 enodes) 1548151354.646 * * [misc]simplify: iters left: 4 (36 enodes) 1548151354.651 * * [misc]simplify: iters left: 3 (56 enodes) 1548151354.661 * * [misc]simplify: iters left: 2 (103 enodes) 1548151354.682 * * [misc]simplify: iters left: 1 (155 enodes) 1548151354.703 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548151354.703 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151354.703 * * * * [misc]progress: [ 194 / 310 ] simplifiying candidate # 1548151354.703 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1548151354.703 * * [misc]simplify: iters left: 3 (4 enodes) 1548151354.704 * * [misc]simplify: iters left: 2 (6 enodes) 1548151354.704 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1548151354.704 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.705 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.705 * * [misc]simplify: iters left: 6 (15 enodes) 1548151354.707 * * [misc]simplify: iters left: 5 (26 enodes) 1548151354.712 * * [misc]simplify: iters left: 4 (37 enodes) 1548151354.722 * * [misc]simplify: iters left: 3 (66 enodes) 1548151354.736 * * [misc]simplify: iters left: 2 (129 enodes) 1548151354.756 * * [misc]simplify: iters left: 1 (200 enodes) 1548151354.807 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548151354.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151354.807 * * * * [misc]progress: [ 195 / 310 ] simplifiying candidate # 1548151354.807 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1548151354.807 * * [misc]simplify: iters left: 6 (10 enodes) 1548151354.808 * * [misc]simplify: iters left: 5 (16 enodes) 1548151354.810 * * [misc]simplify: iters left: 4 (19 enodes) 1548151354.813 * * [misc]simplify: iters left: 3 (21 enodes) 1548151354.816 * * [misc]simplify: iters left: 2 (33 enodes) 1548151354.820 * * [misc]simplify: iters left: 1 (41 enodes) 1548151354.824 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1548151354.824 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548151354.825 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548151354.825 * * [misc]simplify: iters left: 6 (13 enodes) 1548151354.826 * * [misc]simplify: iters left: 5 (20 enodes) 1548151354.829 * * [misc]simplify: iters left: 4 (29 enodes) 1548151354.833 * * [misc]simplify: iters left: 3 (47 enodes) 1548151354.840 * * [misc]simplify: iters left: 2 (90 enodes) 1548151354.862 * * [misc]simplify: iters left: 1 (134 enodes) 1548151354.877 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1548151354.877 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1548151354.877 * * * * [misc]progress: [ 196 / 310 ] simplifiying candidate # 1548151354.877 * * * * [misc]progress: [ 197 / 310 ] simplifiying candidate # 1548151354.878 * * * * [misc]progress: [ 198 / 310 ] simplifiying candidate # 1548151354.878 * * * * [misc]progress: [ 199 / 310 ] simplifiying candidate # 1548151354.878 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.878 * * [misc]simplify: iters left: 6 (11 enodes) 1548151354.879 * * [misc]simplify: iters left: 5 (14 enodes) 1548151354.881 * * [misc]simplify: iters left: 4 (17 enodes) 1548151354.885 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.885 * * * * [misc]progress: [ 200 / 310 ] simplifiying candidate # 1548151354.885 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.885 * * [misc]simplify: iters left: 6 (11 enodes) 1548151354.887 * * [misc]simplify: iters left: 5 (14 enodes) 1548151354.889 * * [misc]simplify: iters left: 4 (17 enodes) 1548151354.891 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.892 * * * * [misc]progress: [ 201 / 310 ] simplifiying candidate # 1548151354.892 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151354.892 * * [misc]simplify: iters left: 6 (10 enodes) 1548151354.893 * * [misc]simplify: iters left: 5 (13 enodes) 1548151354.895 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151354.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151354.895 * * * * [misc]progress: [ 202 / 310 ] simplifiying candidate # 1548151354.895 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151354.895 * * [misc]simplify: iters left: 6 (10 enodes) 1548151354.897 * * [misc]simplify: iters left: 5 (13 enodes) 1548151354.898 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151354.898 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151354.899 * * * * [misc]progress: [ 203 / 310 ] simplifiying candidate # 1548151354.899 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151354.899 * * [misc]simplify: iters left: 6 (9 enodes) 1548151354.900 * * [misc]simplify: iters left: 5 (11 enodes) 1548151354.902 * * [misc]simplify: iters left: 4 (14 enodes) 1548151354.904 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151354.904 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548151354.904 * * * * [misc]progress: [ 204 / 310 ] simplifiying candidate # 1548151354.905 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.905 * * [misc]simplify: iters left: 6 (12 enodes) 1548151354.907 * * [misc]simplify: iters left: 5 (15 enodes) 1548151354.909 * * [misc]simplify: iters left: 4 (18 enodes) 1548151354.911 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.911 * * * * [misc]progress: [ 205 / 310 ] simplifiying candidate # 1548151354.911 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.911 * * [misc]simplify: iters left: 6 (12 enodes) 1548151354.914 * * [misc]simplify: iters left: 5 (15 enodes) 1548151354.918 * * [misc]simplify: iters left: 4 (18 enodes) 1548151354.923 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.923 * * * * [misc]progress: [ 206 / 310 ] simplifiying candidate # 1548151354.923 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151354.923 * * [misc]simplify: iters left: 6 (11 enodes) 1548151354.926 * * [misc]simplify: iters left: 5 (14 enodes) 1548151354.930 * * [misc]simplify: iters left: 4 (17 enodes) 1548151354.934 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151354.934 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151354.934 * * * * [misc]progress: [ 207 / 310 ] simplifiying candidate # 1548151354.934 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151354.934 * * [misc]simplify: iters left: 6 (10 enodes) 1548151354.935 * * [misc]simplify: iters left: 5 (13 enodes) 1548151354.937 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151354.937 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151354.937 * * * * [misc]progress: [ 208 / 310 ] simplifiying candidate # 1548151354.937 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151354.937 * * [misc]simplify: iters left: 6 (10 enodes) 1548151354.939 * * [misc]simplify: iters left: 5 (13 enodes) 1548151354.940 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151354.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548151354.940 * * * * [misc]progress: [ 209 / 310 ] simplifiying candidate # 1548151354.941 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151354.941 * * [misc]simplify: iters left: 6 (9 enodes) 1548151354.942 * * [misc]simplify: iters left: 5 (11 enodes) 1548151354.943 * * [misc]simplify: iters left: 4 (14 enodes) 1548151354.945 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151354.945 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548151354.945 * * * * [misc]progress: [ 210 / 310 ] simplifiying candidate # 1548151354.946 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.946 * * [misc]simplify: iters left: 6 (12 enodes) 1548151354.947 * * [misc]simplify: iters left: 5 (15 enodes) 1548151354.949 * * [misc]simplify: iters left: 4 (18 enodes) 1548151354.952 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.952 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.952 * * * * [misc]progress: [ 211 / 310 ] simplifiying candidate # 1548151354.952 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.952 * * [misc]simplify: iters left: 6 (12 enodes) 1548151354.954 * * [misc]simplify: iters left: 5 (15 enodes) 1548151354.956 * * [misc]simplify: iters left: 4 (18 enodes) 1548151354.958 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.958 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.958 * * * * [misc]progress: [ 212 / 310 ] simplifiying candidate # 1548151354.959 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151354.959 * * [misc]simplify: iters left: 6 (11 enodes) 1548151354.960 * * [misc]simplify: iters left: 5 (14 enodes) 1548151354.962 * * [misc]simplify: iters left: 4 (17 enodes) 1548151354.964 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151354.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151354.964 * * * * [misc]progress: [ 213 / 310 ] simplifiying candidate # 1548151354.965 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548151354.965 * * [misc]simplify: iters left: 6 (9 enodes) 1548151354.967 * * [misc]simplify: iters left: 5 (12 enodes) 1548151354.969 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548151354.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1548151354.969 * * * * [misc]progress: [ 214 / 310 ] simplifiying candidate # 1548151354.969 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548151354.969 * * [misc]simplify: iters left: 6 (9 enodes) 1548151354.970 * * [misc]simplify: iters left: 5 (12 enodes) 1548151354.972 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548151354.972 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1548151354.972 * * * * [misc]progress: [ 215 / 310 ] simplifiying candidate # 1548151354.972 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151354.972 * * [misc]simplify: iters left: 6 (8 enodes) 1548151354.973 * * [misc]simplify: iters left: 5 (10 enodes) 1548151354.975 * * [misc]simplify: iters left: 4 (13 enodes) 1548151354.977 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151354.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151354.977 * * * * [misc]progress: [ 216 / 310 ] simplifiying candidate # 1548151354.977 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.977 * * [misc]simplify: iters left: 6 (11 enodes) 1548151354.978 * * [misc]simplify: iters left: 5 (14 enodes) 1548151354.980 * * [misc]simplify: iters left: 4 (17 enodes) 1548151354.982 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.982 * * * * [misc]progress: [ 217 / 310 ] simplifiying candidate # 1548151354.983 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.983 * * [misc]simplify: iters left: 6 (11 enodes) 1548151354.984 * * [misc]simplify: iters left: 5 (14 enodes) 1548151354.986 * * [misc]simplify: iters left: 4 (17 enodes) 1548151354.989 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151354.989 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151354.989 * * * * [misc]progress: [ 218 / 310 ] simplifiying candidate # 1548151354.990 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151354.990 * * [misc]simplify: iters left: 6 (10 enodes) 1548151354.993 * * [misc]simplify: iters left: 5 (13 enodes) 1548151354.996 * * [misc]simplify: iters left: 4 (16 enodes) 1548151355.001 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151355.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151355.002 * * * * [misc]progress: [ 219 / 310 ] simplifiying candidate # 1548151355.002 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151355.002 * * [misc]simplify: iters left: 6 (10 enodes) 1548151355.005 * * [misc]simplify: iters left: 5 (13 enodes) 1548151355.008 * * [misc]simplify: iters left: 4 (16 enodes) 1548151355.013 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151355.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151355.013 * * * * [misc]progress: [ 220 / 310 ] simplifiying candidate # 1548151355.013 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1548151355.013 * * [misc]simplify: iters left: 6 (10 enodes) 1548151355.016 * * [misc]simplify: iters left: 5 (15 enodes) 1548151355.020 * * [misc]simplify: iters left: 4 (18 enodes) 1548151355.025 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1548151355.025 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548151355.025 * * * * [misc]progress: [ 221 / 310 ] simplifiying candidate # 1548151355.025 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548151355.025 * * [misc]simplify: iters left: 3 (6 enodes) 1548151355.027 * * [misc]simplify: iters left: 2 (7 enodes) 1548151355.029 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548151355.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1548151355.029 * * * * [misc]progress: [ 222 / 310 ] simplifiying candidate # 1548151355.029 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1548151355.029 * * [misc]simplify: iters left: 4 (5 enodes) 1548151355.031 * * [misc]simplify: iters left: 3 (9 enodes) 1548151355.034 * * [misc]simplify: iters left: 2 (11 enodes) 1548151355.036 * * [misc]simplify: iters left: 1 (13 enodes) 1548151355.039 * [exit]simplify: Simplified to (sqrt PI) 1548151355.040 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (log PI) (- (/ k 2))))))) 1548151355.040 * * * * [misc]progress: [ 223 / 310 ] simplifiying candidate # 1548151355.040 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1548151355.040 * * [misc]simplify: iters left: 4 (5 enodes) 1548151355.042 * * [misc]simplify: iters left: 3 (9 enodes) 1548151355.044 * * [misc]simplify: iters left: 2 (11 enodes) 1548151355.046 * * [misc]simplify: iters left: 1 (13 enodes) 1548151355.049 * [exit]simplify: Simplified to (sqrt PI) 1548151355.050 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (log PI) (- (/ k 2))))))) 1548151355.050 * * * * [misc]progress: [ 224 / 310 ] simplifiying candidate # 1548151355.050 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1548151355.050 * * [misc]simplify: iters left: 4 (5 enodes) 1548151355.052 * * [misc]simplify: iters left: 3 (8 enodes) 1548151355.055 * * [misc]simplify: iters left: 2 (9 enodes) 1548151355.058 * * [misc]simplify: iters left: 1 (12 enodes) 1548151355.061 * [exit]simplify: Simplified to (sqrt PI) 1548151355.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (- (/ k 2)) (log PI)))))) 1548151355.062 * * * * [misc]progress: [ 225 / 310 ] simplifiying candidate # 1548151355.062 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1548151355.062 * * [misc]simplify: iters left: 4 (5 enodes) 1548151355.064 * * [misc]simplify: iters left: 3 (8 enodes) 1548151355.067 * * [misc]simplify: iters left: 2 (9 enodes) 1548151355.070 * * [misc]simplify: iters left: 1 (12 enodes) 1548151355.074 * [exit]simplify: Simplified to (sqrt PI) 1548151355.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (- (/ k 2)) (log PI)))))) 1548151355.074 * * * * [misc]progress: [ 226 / 310 ] simplifiying candidate # 1548151355.075 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1548151355.075 * * [misc]simplify: iters left: 6 (11 enodes) 1548151355.079 * * [misc]simplify: iters left: 5 (17 enodes) 1548151355.084 * * [misc]simplify: iters left: 4 (26 enodes) 1548151355.092 * * [misc]simplify: iters left: 3 (44 enodes) 1548151355.107 * * [misc]simplify: iters left: 2 (85 enodes) 1548151355.124 * * [misc]simplify: iters left: 1 (125 enodes) 1548151355.137 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151355.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1548151355.137 * * * * [misc]progress: [ 227 / 310 ] simplifiying candidate # 1548151355.137 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1548151355.137 * * [misc]simplify: iters left: 6 (10 enodes) 1548151355.139 * * [misc]simplify: iters left: 5 (16 enodes) 1548151355.142 * * [misc]simplify: iters left: 4 (25 enodes) 1548151355.145 * * [misc]simplify: iters left: 3 (43 enodes) 1548151355.152 * * [misc]simplify: iters left: 2 (84 enodes) 1548151355.163 * * [misc]simplify: iters left: 1 (124 enodes) 1548151355.188 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151355.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1548151355.188 * * * * [misc]progress: [ 228 / 310 ] simplifiying candidate # 1548151355.188 * * * * [misc]progress: [ 229 / 310 ] simplifiying candidate # 1548151355.188 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1548151355.188 * * [misc]simplify: iters left: 5 (8 enodes) 1548151355.191 * * [misc]simplify: iters left: 4 (11 enodes) 1548151355.194 * * [misc]simplify: iters left: 3 (14 enodes) 1548151355.198 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1548151355.198 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151355.198 * * * * [misc]progress: [ 230 / 310 ] simplifiying candidate # 1548151355.199 * * * * [misc]progress: [ 231 / 310 ] simplifiying candidate # 1548151355.199 * * * * [misc]progress: [ 232 / 310 ] simplifiying candidate # 1548151355.200 * * * * [misc]progress: [ 233 / 310 ] simplifiying candidate # 1548151355.200 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548151355.200 * * [misc]simplify: iters left: 6 (12 enodes) 1548151355.204 * * [misc]simplify: iters left: 5 (21 enodes) 1548151355.211 * * [misc]simplify: iters left: 4 (44 enodes) 1548151355.230 * * [misc]simplify: iters left: 3 (133 enodes) 1548151355.269 * * [misc]simplify: iters left: 2 (379 enodes) 1548151355.436 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1548151355.436 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1548151355.437 * * * * [misc]progress: [ 234 / 310 ] simplifiying candidate # 1548151355.437 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548151355.437 * * [misc]simplify: iters left: 6 (12 enodes) 1548151355.441 * * [misc]simplify: iters left: 5 (21 enodes) 1548151355.449 * * [misc]simplify: iters left: 4 (44 enodes) 1548151355.467 * * [misc]simplify: iters left: 3 (133 enodes) 1548151355.534 * * [misc]simplify: iters left: 2 (379 enodes) 1548151355.698 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1548151355.698 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1548151355.698 * * * * [misc]progress: [ 235 / 310 ] simplifiying candidate # 1548151355.698 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1548151355.698 * * [misc]simplify: iters left: 6 (12 enodes) 1548151355.702 * * [misc]simplify: iters left: 5 (19 enodes) 1548151355.708 * * [misc]simplify: iters left: 4 (32 enodes) 1548151355.722 * * [misc]simplify: iters left: 3 (69 enodes) 1548151355.752 * * [misc]simplify: iters left: 2 (208 enodes) 1548151355.843 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1548151355.843 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1548151355.843 * * * * [misc]progress: [ 236 / 310 ] simplifiying candidate # 1548151355.844 * * * * [misc]progress: [ 237 / 310 ] simplifiying candidate # 1548151355.844 * * * * [misc]progress: [ 238 / 310 ] simplifiying candidate # 1548151355.844 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151355.844 * * [misc]simplify: iters left: 6 (14 enodes) 1548151355.849 * * [misc]simplify: iters left: 5 (26 enodes) 1548151355.858 * * [misc]simplify: iters left: 4 (58 enodes) 1548151355.879 * * [misc]simplify: iters left: 3 (117 enodes) 1548151355.911 * * [misc]simplify: iters left: 2 (193 enodes) 1548151355.954 * * [misc]simplify: iters left: 1 (263 enodes) 1548151356.019 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.019 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.019 * * * * [misc]progress: [ 239 / 310 ] simplifiying candidate # 1548151356.019 * * * * [misc]progress: [ 240 / 310 ] simplifiying candidate # 1548151356.020 * * * * [misc]progress: [ 241 / 310 ] simplifiying candidate # 1548151356.020 * * * * [misc]progress: [ 242 / 310 ] simplifiying candidate # 1548151356.020 * * * * [misc]progress: [ 243 / 310 ] simplifiying candidate # 1548151356.020 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1548151356.020 * * [misc]simplify: iters left: 6 (10 enodes) 1548151356.023 * * [misc]simplify: iters left: 5 (14 enodes) 1548151356.026 * * [misc]simplify: iters left: 4 (16 enodes) 1548151356.030 * * [misc]simplify: iters left: 3 (17 enodes) 1548151356.034 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1548151356.034 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151356.035 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151356.035 * * [misc]simplify: iters left: 6 (10 enodes) 1548151356.041 * * [misc]simplify: iters left: 5 (13 enodes) 1548151356.045 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151356.045 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548151356.045 * * * * [misc]progress: [ 244 / 310 ] simplifiying candidate # 1548151356.045 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1548151356.045 * * [misc]simplify: iters left: 6 (10 enodes) 1548151356.048 * * [misc]simplify: iters left: 5 (14 enodes) 1548151356.052 * * [misc]simplify: iters left: 4 (16 enodes) 1548151356.056 * * [misc]simplify: iters left: 3 (17 enodes) 1548151356.061 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1548151356.061 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151356.061 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151356.062 * * [misc]simplify: iters left: 6 (10 enodes) 1548151356.065 * * [misc]simplify: iters left: 5 (13 enodes) 1548151356.068 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151356.069 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548151356.069 * * * * [misc]progress: [ 245 / 310 ] simplifiying candidate # 1548151356.069 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548151356.069 * * [misc]simplify: iters left: 6 (11 enodes) 1548151356.072 * * [misc]simplify: iters left: 5 (15 enodes) 1548151356.077 * * [misc]simplify: iters left: 4 (20 enodes) 1548151356.083 * * [misc]simplify: iters left: 3 (21 enodes) 1548151356.088 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548151356.088 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151356.089 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151356.089 * * [misc]simplify: iters left: 6 (9 enodes) 1548151356.092 * * [misc]simplify: iters left: 5 (11 enodes) 1548151356.095 * * [misc]simplify: iters left: 4 (14 enodes) 1548151356.099 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151356.099 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151356.099 * * * * [misc]progress: [ 246 / 310 ] simplifiying candidate # 1548151356.099 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.099 * * [misc]simplify: iters left: 6 (14 enodes) 1548151356.104 * * [misc]simplify: iters left: 5 (23 enodes) 1548151356.111 * * [misc]simplify: iters left: 4 (35 enodes) 1548151356.121 * * [misc]simplify: iters left: 3 (38 enodes) 1548151356.126 * * [misc]simplify: iters left: 2 (41 enodes) 1548151356.131 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.131 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.131 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.131 * * [misc]simplify: iters left: 6 (12 enodes) 1548151356.133 * * [misc]simplify: iters left: 5 (15 enodes) 1548151356.135 * * [misc]simplify: iters left: 4 (18 enodes) 1548151356.138 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.138 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.138 * * * * [misc]progress: [ 247 / 310 ] simplifiying candidate # 1548151356.138 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.138 * * [misc]simplify: iters left: 6 (13 enodes) 1548151356.140 * * [misc]simplify: iters left: 5 (18 enodes) 1548151356.142 * * [misc]simplify: iters left: 4 (23 enodes) 1548151356.145 * * [misc]simplify: iters left: 3 (24 enodes) 1548151356.149 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.149 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.149 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.149 * * [misc]simplify: iters left: 6 (12 enodes) 1548151356.151 * * [misc]simplify: iters left: 5 (15 enodes) 1548151356.153 * * [misc]simplify: iters left: 4 (18 enodes) 1548151356.159 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.159 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.159 * * * * [misc]progress: [ 248 / 310 ] simplifiying candidate # 1548151356.160 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1548151356.160 * * [misc]simplify: iters left: 6 (6 enodes) 1548151356.161 * * [misc]simplify: iters left: 5 (10 enodes) 1548151356.165 * * [misc]simplify: iters left: 4 (16 enodes) 1548151356.169 * * [misc]simplify: iters left: 3 (18 enodes) 1548151356.172 * * [misc]simplify: iters left: 2 (23 enodes) 1548151356.178 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548151356.178 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151356.178 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.178 * * [misc]simplify: iters left: 6 (11 enodes) 1548151356.181 * * [misc]simplify: iters left: 5 (14 enodes) 1548151356.186 * * [misc]simplify: iters left: 4 (17 enodes) 1548151356.191 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.191 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151356.191 * * * * [misc]progress: [ 249 / 310 ] simplifiying candidate # 1548151356.191 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1548151356.191 * * [misc]simplify: iters left: 5 (9 enodes) 1548151356.194 * * [misc]simplify: iters left: 4 (11 enodes) 1548151356.197 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1548151356.197 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151356.197 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151356.198 * * [misc]simplify: iters left: 6 (10 enodes) 1548151356.200 * * [misc]simplify: iters left: 5 (13 enodes) 1548151356.202 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151356.202 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548151356.202 * * * * [misc]progress: [ 250 / 310 ] simplifiying candidate # 1548151356.203 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1548151356.203 * * [misc]simplify: iters left: 5 (9 enodes) 1548151356.204 * * [misc]simplify: iters left: 4 (11 enodes) 1548151356.205 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1548151356.206 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548151356.206 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548151356.206 * * [misc]simplify: iters left: 6 (10 enodes) 1548151356.207 * * [misc]simplify: iters left: 5 (13 enodes) 1548151356.209 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548151356.209 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548151356.209 * * * * [misc]progress: [ 251 / 310 ] simplifiying candidate # 1548151356.209 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1548151356.209 * * [misc]simplify: iters left: 6 (10 enodes) 1548151356.211 * * [misc]simplify: iters left: 5 (12 enodes) 1548151356.213 * * [misc]simplify: iters left: 4 (15 enodes) 1548151356.215 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1548151356.215 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151356.215 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151356.215 * * [misc]simplify: iters left: 6 (9 enodes) 1548151356.217 * * [misc]simplify: iters left: 5 (11 enodes) 1548151356.218 * * [misc]simplify: iters left: 4 (14 enodes) 1548151356.220 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151356.220 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151356.220 * * * * [misc]progress: [ 252 / 310 ] simplifiying candidate # 1548151356.220 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.220 * * [misc]simplify: iters left: 6 (13 enodes) 1548151356.222 * * [misc]simplify: iters left: 5 (18 enodes) 1548151356.225 * * [misc]simplify: iters left: 4 (21 enodes) 1548151356.228 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.228 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.229 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.229 * * [misc]simplify: iters left: 6 (12 enodes) 1548151356.232 * * [misc]simplify: iters left: 5 (15 enodes) 1548151356.237 * * [misc]simplify: iters left: 4 (18 enodes) 1548151356.242 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.242 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.242 * * * * [misc]progress: [ 253 / 310 ] simplifiying candidate # 1548151356.243 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.243 * * [misc]simplify: iters left: 6 (12 enodes) 1548151356.245 * * [misc]simplify: iters left: 5 (15 enodes) 1548151356.247 * * [misc]simplify: iters left: 4 (18 enodes) 1548151356.250 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.250 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.250 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.250 * * [misc]simplify: iters left: 6 (12 enodes) 1548151356.252 * * [misc]simplify: iters left: 5 (15 enodes) 1548151356.254 * * [misc]simplify: iters left: 4 (18 enodes) 1548151356.256 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.256 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.256 * * * * [misc]progress: [ 254 / 310 ] simplifiying candidate # 1548151356.257 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1548151356.257 * * [misc]simplify: iters left: 4 (5 enodes) 1548151356.257 * * [misc]simplify: iters left: 3 (7 enodes) 1548151356.259 * * [misc]simplify: iters left: 2 (9 enodes) 1548151356.259 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548151356.259 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151356.260 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.260 * * [misc]simplify: iters left: 6 (11 enodes) 1548151356.261 * * [misc]simplify: iters left: 5 (14 enodes) 1548151356.265 * * [misc]simplify: iters left: 4 (17 enodes) 1548151356.267 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.268 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151356.268 * * * * [misc]progress: [ 255 / 310 ] simplifiying candidate # 1548151356.268 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1548151356.268 * * [misc]simplify: iters left: 5 (7 enodes) 1548151356.269 * * [misc]simplify: iters left: 4 (11 enodes) 1548151356.270 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1548151356.270 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151356.270 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548151356.270 * * [misc]simplify: iters left: 6 (9 enodes) 1548151356.272 * * [misc]simplify: iters left: 5 (12 enodes) 1548151356.274 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548151356.275 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548151356.275 * * * * [misc]progress: [ 256 / 310 ] simplifiying candidate # 1548151356.275 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1548151356.275 * * [misc]simplify: iters left: 5 (7 enodes) 1548151356.277 * * [misc]simplify: iters left: 4 (11 enodes) 1548151356.280 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1548151356.280 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548151356.280 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548151356.280 * * [misc]simplify: iters left: 6 (9 enodes) 1548151356.283 * * [misc]simplify: iters left: 5 (12 enodes) 1548151356.286 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548151356.286 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548151356.286 * * * * [misc]progress: [ 257 / 310 ] simplifiying candidate # 1548151356.287 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1548151356.287 * * [misc]simplify: iters left: 6 (9 enodes) 1548151356.290 * * [misc]simplify: iters left: 5 (13 enodes) 1548151356.294 * * [misc]simplify: iters left: 4 (16 enodes) 1548151356.298 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1548151356.298 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151356.298 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151356.298 * * [misc]simplify: iters left: 6 (8 enodes) 1548151356.301 * * [misc]simplify: iters left: 5 (10 enodes) 1548151356.303 * * [misc]simplify: iters left: 4 (13 enodes) 1548151356.307 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151356.307 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151356.307 * * * * [misc]progress: [ 258 / 310 ] simplifiying candidate # 1548151356.307 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.308 * * [misc]simplify: iters left: 6 (12 enodes) 1548151356.310 * * [misc]simplify: iters left: 5 (19 enodes) 1548151356.312 * * [misc]simplify: iters left: 4 (22 enodes) 1548151356.315 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151356.315 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.315 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.315 * * [misc]simplify: iters left: 6 (11 enodes) 1548151356.317 * * [misc]simplify: iters left: 5 (14 enodes) 1548151356.319 * * [misc]simplify: iters left: 4 (17 enodes) 1548151356.321 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.321 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.321 * * * * [misc]progress: [ 259 / 310 ] simplifiying candidate # 1548151356.321 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.321 * * [misc]simplify: iters left: 6 (11 enodes) 1548151356.323 * * [misc]simplify: iters left: 5 (16 enodes) 1548151356.325 * * [misc]simplify: iters left: 4 (19 enodes) 1548151356.327 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548151356.328 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.328 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.328 * * [misc]simplify: iters left: 6 (11 enodes) 1548151356.329 * * [misc]simplify: iters left: 5 (14 enodes) 1548151356.331 * * [misc]simplify: iters left: 4 (17 enodes) 1548151356.333 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548151356.333 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548151356.333 * * * * [misc]progress: [ 260 / 310 ] simplifiying candidate # 1548151356.334 * [enter]simplify: Simplifying (/ 1 1) 1548151356.334 * * [misc]simplify: iters left: 2 (2 enodes) 1548151356.334 * * [misc]simplify: iters left: 1 (4 enodes) 1548151356.334 * [exit]simplify: Simplified to 1 1548151356.334 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151356.334 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.335 * * [misc]simplify: iters left: 6 (10 enodes) 1548151356.336 * * [misc]simplify: iters left: 5 (13 enodes) 1548151356.339 * * [misc]simplify: iters left: 4 (16 enodes) 1548151356.344 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.344 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151356.344 * * * * [misc]progress: [ 261 / 310 ] simplifiying candidate # 1548151356.344 * * * * [misc]progress: [ 262 / 310 ] simplifiying candidate # 1548151356.344 * * * * [misc]progress: [ 263 / 310 ] simplifiying candidate # 1548151356.344 * * * * [misc]progress: [ 264 / 310 ] simplifiying candidate # 1548151356.345 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548151356.345 * * [misc]simplify: iters left: 5 (7 enodes) 1548151356.347 * * [misc]simplify: iters left: 4 (10 enodes) 1548151356.349 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548151356.349 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1548151356.349 * * * * [misc]progress: [ 265 / 310 ] simplifiying candidate # 1548151356.350 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548151356.350 * * [misc]simplify: iters left: 5 (7 enodes) 1548151356.352 * * [misc]simplify: iters left: 4 (10 enodes) 1548151356.354 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548151356.354 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1548151356.354 * * * * [misc]progress: [ 266 / 310 ] simplifiying candidate # 1548151356.355 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1548151356.355 * * [misc]simplify: iters left: 5 (6 enodes) 1548151356.356 * * [misc]simplify: iters left: 4 (8 enodes) 1548151356.358 * * [misc]simplify: iters left: 3 (11 enodes) 1548151356.361 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1548151356.362 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1548151356.362 * * * * [misc]progress: [ 267 / 310 ] simplifiying candidate # 1548151356.362 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.362 * * [misc]simplify: iters left: 6 (9 enodes) 1548151356.365 * * [misc]simplify: iters left: 5 (12 enodes) 1548151356.368 * * [misc]simplify: iters left: 4 (15 enodes) 1548151356.370 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.370 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151356.370 * * * * [misc]progress: [ 268 / 310 ] simplifiying candidate # 1548151356.371 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.371 * * [misc]simplify: iters left: 6 (9 enodes) 1548151356.373 * * [misc]simplify: iters left: 5 (12 enodes) 1548151356.374 * * [misc]simplify: iters left: 4 (15 enodes) 1548151356.377 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548151356.377 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548151356.377 * * * * [misc]progress: [ 269 / 310 ] simplifiying candidate # 1548151356.377 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1548151356.377 * * [misc]simplify: iters left: 5 (8 enodes) 1548151356.378 * * [misc]simplify: iters left: 4 (11 enodes) 1548151356.380 * * [misc]simplify: iters left: 3 (14 enodes) 1548151356.382 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1548151356.382 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.382 * * * * [misc]progress: [ 270 / 310 ] simplifiying candidate # 1548151356.382 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548151356.382 * * [misc]simplify: iters left: 4 (4 enodes) 1548151356.383 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548151356.383 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548151356.383 * * * * [misc]progress: [ 271 / 310 ] simplifiying candidate # 1548151356.383 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1548151356.383 * * [misc]simplify: iters left: 2 (3 enodes) 1548151356.383 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548151356.384 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548151356.384 * * * * [misc]progress: [ 272 / 310 ] simplifiying candidate # 1548151356.384 * * * * [misc]progress: [ 273 / 310 ] simplifiying candidate # 1548151356.384 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548151356.384 * * [misc]simplify: iters left: 3 (6 enodes) 1548151356.385 * * [misc]simplify: iters left: 2 (7 enodes) 1548151356.386 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548151356.386 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1548151356.386 * * * * [misc]progress: [ 274 / 310 ] simplifiying candidate # 1548151356.386 * * * * [misc]progress: [ 275 / 310 ] simplifiying candidate # 1548151356.386 * * * * [misc]progress: [ 276 / 310 ] simplifiying candidate # 1548151356.386 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1548151356.386 * * [misc]simplify: iters left: 6 (8 enodes) 1548151356.387 * * [misc]simplify: iters left: 5 (11 enodes) 1548151356.389 * * [misc]simplify: iters left: 4 (20 enodes) 1548151356.392 * * [misc]simplify: iters left: 3 (32 enodes) 1548151356.396 * * [misc]simplify: iters left: 2 (49 enodes) 1548151356.403 * * [misc]simplify: iters left: 1 (59 enodes) 1548151356.411 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1548151356.411 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.412 * * * * [misc]progress: [ 277 / 310 ] simplifiying candidate # 1548151356.412 * * * * [misc]progress: [ 278 / 310 ] simplifiying candidate # 1548151356.412 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1548151356.412 * * [misc]simplify: iters left: 6 (10 enodes) 1548151356.415 * * [misc]simplify: iters left: 5 (13 enodes) 1548151356.419 * * [misc]simplify: iters left: 4 (16 enodes) 1548151356.423 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1548151356.423 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.423 * * * * [misc]progress: [ 279 / 310 ] simplifiying candidate # 1548151356.423 * * * * [misc]progress: [ 280 / 310 ] simplifiying candidate # 1548151356.424 * * * * [misc]progress: [ 281 / 310 ] simplifiying candidate # 1548151356.424 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1548151356.424 * * [misc]simplify: iters left: 6 (12 enodes) 1548151356.428 * * [misc]simplify: iters left: 5 (21 enodes) 1548151356.436 * * [misc]simplify: iters left: 4 (67 enodes) 1548151356.484 * * [misc]simplify: iters left: 3 (327 enodes) 1548151356.850 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1548151356.851 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.851 * * * * [misc]progress: [ 282 / 310 ] simplifiying candidate # 1548151356.851 * * * * [misc]progress: [ 283 / 310 ] simplifiying candidate # 1548151356.851 * * * * [misc]progress: [ 284 / 310 ] simplifiying candidate # 1548151356.851 * * * * [misc]progress: [ 285 / 310 ] simplifiying candidate # 1548151356.851 * * * * [misc]progress: [ 286 / 310 ] simplifiying candidate # 1548151356.851 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1548151356.851 * * [misc]simplify: iters left: 6 (7 enodes) 1548151356.854 * * [misc]simplify: iters left: 5 (12 enodes) 1548151356.858 * * [misc]simplify: iters left: 4 (22 enodes) 1548151356.865 * * [misc]simplify: iters left: 3 (35 enodes) 1548151356.875 * * [misc]simplify: iters left: 2 (42 enodes) 1548151356.885 * * [misc]simplify: iters left: 1 (47 enodes) 1548151356.901 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1548151356.901 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.901 * * * * [misc]progress: [ 287 / 310 ] simplifiying candidate # 1548151356.902 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1548151356.902 * * [misc]simplify: iters left: 6 (7 enodes) 1548151356.904 * * [misc]simplify: iters left: 5 (12 enodes) 1548151356.907 * * [misc]simplify: iters left: 4 (22 enodes) 1548151356.913 * * [misc]simplify: iters left: 3 (35 enodes) 1548151356.922 * * [misc]simplify: iters left: 2 (42 enodes) 1548151356.932 * * [misc]simplify: iters left: 1 (47 enodes) 1548151356.942 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1548151356.942 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.942 * * * * [misc]progress: [ 288 / 310 ] simplifiying candidate # 1548151356.942 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1548151356.942 * * [misc]simplify: iters left: 6 (7 enodes) 1548151356.943 * * [misc]simplify: iters left: 5 (12 enodes) 1548151356.945 * * [misc]simplify: iters left: 4 (22 enodes) 1548151356.949 * * [misc]simplify: iters left: 3 (32 enodes) 1548151356.952 * * [misc]simplify: iters left: 2 (36 enodes) 1548151356.957 * * [misc]simplify: iters left: 1 (43 enodes) 1548151356.962 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1548151356.962 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.962 * * * * [misc]progress: [ 289 / 310 ] simplifiying candidate # 1548151356.962 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1548151356.962 * * [misc]simplify: iters left: 6 (7 enodes) 1548151356.963 * * [misc]simplify: iters left: 5 (12 enodes) 1548151356.965 * * [misc]simplify: iters left: 4 (22 enodes) 1548151356.968 * * [misc]simplify: iters left: 3 (32 enodes) 1548151356.971 * * [misc]simplify: iters left: 2 (36 enodes) 1548151356.975 * * [misc]simplify: iters left: 1 (43 enodes) 1548151356.985 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1548151356.985 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.985 * * * * [misc]progress: [ 290 / 310 ] simplifiying candidate # 1548151356.985 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548151356.986 * * [misc]simplify: iters left: 5 (6 enodes) 1548151356.987 * * [misc]simplify: iters left: 4 (8 enodes) 1548151356.990 * * [misc]simplify: iters left: 3 (11 enodes) 1548151356.992 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548151356.993 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151356.993 * * * * [misc]progress: [ 291 / 310 ] simplifiying candidate # 1548151356.993 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548151356.993 * * [misc]simplify: iters left: 5 (6 enodes) 1548151356.995 * * [misc]simplify: iters left: 4 (8 enodes) 1548151356.998 * * [misc]simplify: iters left: 3 (11 enodes) 1548151357.001 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548151357.001 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151357.001 * * * * [misc]progress: [ 292 / 310 ] simplifiying candidate # 1548151357.001 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548151357.001 * * [misc]simplify: iters left: 4 (5 enodes) 1548151357.003 * * [misc]simplify: iters left: 3 (7 enodes) 1548151357.005 * * [misc]simplify: iters left: 2 (10 enodes) 1548151357.007 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548151357.007 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151357.007 * * * * [misc]progress: [ 293 / 310 ] simplifiying candidate # 1548151357.008 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1548151357.008 * * [misc]simplify: iters left: 4 (4 enodes) 1548151357.009 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1548151357.009 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151357.009 * * * * [misc]progress: [ 294 / 310 ] simplifiying candidate # 1548151357.009 * [enter]simplify: Simplifying (sqrt (log PI)) 1548151357.010 * * [misc]simplify: iters left: 2 (3 enodes) 1548151357.010 * [exit]simplify: Simplified to (sqrt (log PI)) 1548151357.010 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151357.010 * * * * [misc]progress: [ 295 / 310 ] simplifiying candidate # 1548151357.011 * * * * [misc]progress: [ 296 / 310 ] simplifiying candidate # 1548151357.011 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1548151357.011 * * [misc]simplify: iters left: 6 (9 enodes) 1548151357.015 * * [misc]simplify: iters left: 5 (25 enodes) 1548151357.023 * * [misc]simplify: iters left: 4 (44 enodes) 1548151357.031 * * [misc]simplify: iters left: 3 (64 enodes) 1548151357.039 * * [misc]simplify: iters left: 2 (85 enodes) 1548151357.050 * * [misc]simplify: iters left: 1 (112 enodes) 1548151357.074 * [exit]simplify: Simplified to (fma k (fma k 1/4 1/4) 1/4) 1548151357.074 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (fma k (fma k 1/4 1/4) 1/4))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151357.074 * * * * [misc]progress: [ 297 / 310 ] simplifiying candidate # 1548151357.074 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1548151357.074 * * [misc]simplify: iters left: 4 (5 enodes) 1548151357.075 * * [misc]simplify: iters left: 3 (6 enodes) 1548151357.075 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1548151357.075 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151357.075 * * * * [misc]progress: [ 298 / 310 ] simplifiying candidate # 1548151357.076 * * * * [misc]progress: [ 299 / 310 ] simplifiying candidate # 1548151357.076 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1548151357.076 * * [misc]simplify: iters left: 6 (35 enodes) 1548151357.085 * * [misc]simplify: iters left: 5 (102 enodes) 1548151357.113 * * [misc]simplify: iters left: 4 (321 enodes) 1548151357.315 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1548151357.316 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1548151357.316 * * * * [misc]progress: [ 300 / 310 ] simplifiying candidate # 1548151357.316 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1548151357.316 * * [misc]simplify: iters left: 6 (13 enodes) 1548151357.321 * * [misc]simplify: iters left: 5 (27 enodes) 1548151357.330 * * [misc]simplify: iters left: 4 (53 enodes) 1548151357.339 * * [misc]simplify: iters left: 3 (124 enodes) 1548151357.375 * * [misc]simplify: iters left: 2 (394 enodes) 1548151357.797 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1548151357.797 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1548151357.798 * * * * [misc]progress: [ 301 / 310 ] simplifiying candidate # 1548151357.798 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1548151357.798 * * [misc]simplify: iters left: 6 (13 enodes) 1548151357.803 * * [misc]simplify: iters left: 5 (24 enodes) 1548151357.814 * * [misc]simplify: iters left: 4 (54 enodes) 1548151357.824 * * [misc]simplify: iters left: 3 (151 enodes) 1548151357.894 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1548151357.894 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1548151357.894 * * * * [misc]progress: [ 302 / 310 ] simplifiying candidate # 1548151357.895 * [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))))))))))))))) 1548151357.895 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548151357.895 * * * * [misc]progress: [ 303 / 310 ] simplifiying candidate # 1548151357.895 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1548151357.895 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548151357.895 * * * * [misc]progress: [ 304 / 310 ] simplifiying candidate # 1548151357.895 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1548151357.895 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548151357.895 * * * * [misc]progress: [ 305 / 310 ] simplifiying candidate # 1548151357.896 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1548151357.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1548151357.896 * * * * [misc]progress: [ 306 / 310 ] simplifiying candidate # 1548151357.896 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1548151357.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1548151357.896 * * * * [misc]progress: [ 307 / 310 ] simplifiying candidate # 1548151357.896 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1548151357.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1548151357.896 * * * * [misc]progress: [ 308 / 310 ] simplifiying candidate # 1548151357.897 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548151357.897 * * [misc]simplify: iters left: 6 (8 enodes) 1548151357.902 * * [misc]simplify: iters left: 5 (17 enodes) 1548151357.908 * * [misc]simplify: iters left: 4 (38 enodes) 1548151357.918 * * [misc]simplify: iters left: 3 (68 enodes) 1548151357.933 * * [misc]simplify: iters left: 2 (90 enodes) 1548151357.945 * * [misc]simplify: iters left: 1 (105 enodes) 1548151357.967 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1548151357.967 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151357.968 * * * * [misc]progress: [ 309 / 310 ] simplifiying candidate # 1548151357.968 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548151357.968 * * [misc]simplify: iters left: 6 (8 enodes) 1548151357.970 * * [misc]simplify: iters left: 5 (17 enodes) 1548151357.975 * * [misc]simplify: iters left: 4 (38 enodes) 1548151357.990 * * [misc]simplify: iters left: 3 (68 enodes) 1548151358.009 * * [misc]simplify: iters left: 2 (90 enodes) 1548151358.032 * * [misc]simplify: iters left: 1 (105 enodes) 1548151358.076 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1548151358.076 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151358.076 * * * * [misc]progress: [ 310 / 310 ] simplifiying candidate # 1548151358.076 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548151358.076 * * [misc]simplify: iters left: 6 (8 enodes) 1548151358.079 * * [misc]simplify: iters left: 5 (17 enodes) 1548151358.085 * * [misc]simplify: iters left: 4 (38 enodes) 1548151358.097 * * [misc]simplify: iters left: 3 (68 enodes) 1548151358.118 * * [misc]simplify: iters left: 2 (90 enodes) 1548151358.141 * * [misc]simplify: iters left: 1 (105 enodes) 1548151358.170 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1548151358.170 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548151358.171 * * * [misc]progress: adding candidates to table 1548151362.829 * * [misc]progress: iteration 4 / 4 1548151362.829 * * * [misc]progress: picking best candidate 1548151362.863 * * * * [misc]pick: Picked # 1548151362.863 * * * [misc]progress: localizing error 1548151362.903 * * * [misc]progress: generating rewritten candidates 1548151362.903 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1548151362.905 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1548151362.906 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1548151362.913 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1548151362.923 * * * [misc]progress: generating series expansions 1548151362.923 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1548151362.923 * [misc]backup-simplify: Simplify (pow n (- 1/2 (/ k 2))) into (pow n (- 1/2 (* 1/2 k))) 1548151362.923 * [misc]approximate: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0 1548151362.923 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1548151362.923 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1548151362.923 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1548151362.923 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151362.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.923 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151362.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.923 * [misc]taylor: Taking taylor expansion of k in k 1548151362.923 * [misc]backup-simplify: Simplify 0 into 0 1548151362.923 * [misc]backup-simplify: Simplify 1 into 1 1548151362.923 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151362.923 * [misc]taylor: Taking taylor expansion of n in k 1548151362.923 * [misc]backup-simplify: Simplify n into n 1548151362.923 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151362.924 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151362.924 * [misc]backup-simplify: Simplify (- 0) into 0 1548151362.924 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151362.924 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1548151362.924 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1548151362.924 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1548151362.924 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1548151362.924 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1548151362.924 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151362.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.924 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151362.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.924 * [misc]taylor: Taking taylor expansion of k in n 1548151362.924 * [misc]backup-simplify: Simplify k into k 1548151362.924 * [misc]taylor: Taking taylor expansion of (log n) in n 1548151362.924 * [misc]taylor: Taking taylor expansion of n in n 1548151362.924 * [misc]backup-simplify: Simplify 0 into 0 1548151362.924 * [misc]backup-simplify: Simplify 1 into 1 1548151362.924 * [misc]backup-simplify: Simplify (log 1) into 0 1548151362.924 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151362.924 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151362.925 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151362.925 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151362.925 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1548151362.925 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1548151362.925 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1548151362.925 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1548151362.925 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1548151362.925 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151362.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.925 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151362.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.925 * [misc]taylor: Taking taylor expansion of k in n 1548151362.925 * [misc]backup-simplify: Simplify k into k 1548151362.925 * [misc]taylor: Taking taylor expansion of (log n) in n 1548151362.925 * [misc]taylor: Taking taylor expansion of n in n 1548151362.925 * [misc]backup-simplify: Simplify 0 into 0 1548151362.925 * [misc]backup-simplify: Simplify 1 into 1 1548151362.925 * [misc]backup-simplify: Simplify (log 1) into 0 1548151362.925 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151362.925 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151362.925 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151362.925 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151362.925 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1548151362.926 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1548151362.926 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1548151362.926 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1548151362.926 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1548151362.926 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151362.926 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.926 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151362.926 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.926 * [misc]taylor: Taking taylor expansion of k in k 1548151362.926 * [misc]backup-simplify: Simplify 0 into 0 1548151362.926 * [misc]backup-simplify: Simplify 1 into 1 1548151362.926 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151362.926 * [misc]taylor: Taking taylor expansion of n in k 1548151362.926 * [misc]backup-simplify: Simplify n into n 1548151362.926 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151362.926 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151362.926 * [misc]backup-simplify: Simplify (- 0) into 0 1548151362.926 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151362.926 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1548151362.926 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1548151362.926 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1548151362.928 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548151362.928 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548151362.928 * [misc]backup-simplify: Simplify (- 0) into 0 1548151362.928 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151362.928 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151362.928 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1548151362.929 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151362.929 * [misc]taylor: Taking taylor expansion of 0 in k 1548151362.929 * [misc]backup-simplify: Simplify 0 into 0 1548151362.929 * [misc]backup-simplify: Simplify 0 into 0 1548151362.930 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548151362.930 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151362.930 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151362.930 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151362.930 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1548151362.930 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1548151362.930 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1548151362.933 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548151362.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548151362.933 * [misc]backup-simplify: Simplify (- 0) into 0 1548151362.933 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151362.933 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151362.933 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1548151362.935 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151362.935 * [misc]taylor: Taking taylor expansion of 0 in k 1548151362.935 * [misc]backup-simplify: Simplify 0 into 0 1548151362.935 * [misc]backup-simplify: Simplify 0 into 0 1548151362.935 * [misc]backup-simplify: Simplify 0 into 0 1548151362.936 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548151362.936 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151362.936 * [misc]backup-simplify: Simplify (- 0) into 0 1548151362.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151362.936 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1548151362.937 * [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))) 1548151362.937 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1548151362.937 * [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)))) 1548151362.937 * [misc]backup-simplify: Simplify (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151362.937 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1548151362.937 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151362.937 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1548151362.937 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1548151362.937 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151362.937 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.937 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151362.937 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.937 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151362.938 * [misc]taylor: Taking taylor expansion of k in k 1548151362.938 * [misc]backup-simplify: Simplify 0 into 0 1548151362.938 * [misc]backup-simplify: Simplify 1 into 1 1548151362.938 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151362.938 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1548151362.938 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1548151362.938 * [misc]taylor: Taking taylor expansion of n in k 1548151362.938 * [misc]backup-simplify: Simplify n into n 1548151362.938 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1548151362.938 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1548151362.938 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151362.938 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151362.938 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151362.938 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1548151362.938 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151362.938 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151362.938 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1548151362.938 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1548151362.938 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151362.938 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.938 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151362.938 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.938 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151362.938 * [misc]taylor: Taking taylor expansion of k in n 1548151362.938 * [misc]backup-simplify: Simplify k into k 1548151362.938 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151362.938 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1548151362.939 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151362.939 * [misc]taylor: Taking taylor expansion of n in n 1548151362.939 * [misc]backup-simplify: Simplify 0 into 0 1548151362.939 * [misc]backup-simplify: Simplify 1 into 1 1548151362.939 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151362.939 * [misc]backup-simplify: Simplify (log 1) into 0 1548151362.939 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151362.939 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151362.939 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151362.939 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548151362.939 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1548151362.939 * [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)))) 1548151362.939 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151362.939 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1548151362.939 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1548151362.939 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151362.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.939 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151362.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.939 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151362.939 * [misc]taylor: Taking taylor expansion of k in n 1548151362.939 * [misc]backup-simplify: Simplify k into k 1548151362.939 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151362.939 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1548151362.940 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151362.940 * [misc]taylor: Taking taylor expansion of n in n 1548151362.940 * [misc]backup-simplify: Simplify 0 into 0 1548151362.940 * [misc]backup-simplify: Simplify 1 into 1 1548151362.940 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151362.940 * [misc]backup-simplify: Simplify (log 1) into 0 1548151362.940 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151362.940 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151362.940 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151362.940 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548151362.940 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1548151362.940 * [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)))) 1548151362.940 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1548151362.940 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1548151362.940 * [misc]taylor: Taking taylor expansion of -1 in k 1548151362.940 * [misc]backup-simplify: Simplify -1 into -1 1548151362.940 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1548151362.940 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151362.940 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.940 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151362.940 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.941 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151362.941 * [misc]taylor: Taking taylor expansion of k in k 1548151362.941 * [misc]backup-simplify: Simplify 0 into 0 1548151362.941 * [misc]backup-simplify: Simplify 1 into 1 1548151362.941 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151362.941 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151362.941 * [misc]taylor: Taking taylor expansion of n in k 1548151362.941 * [misc]backup-simplify: Simplify n into n 1548151362.941 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151362.941 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151362.941 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151362.941 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151362.941 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1548151362.941 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1548151362.941 * [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)))) 1548151362.941 * [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)))) 1548151362.942 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151362.943 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548151362.943 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151362.943 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151362.943 * [misc]backup-simplify: Simplify (- 0) into 0 1548151362.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151362.943 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548151362.944 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1548151362.944 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151362.944 * [misc]taylor: Taking taylor expansion of 0 in k 1548151362.944 * [misc]backup-simplify: Simplify 0 into 0 1548151362.944 * [misc]backup-simplify: Simplify 0 into 0 1548151362.944 * [misc]backup-simplify: Simplify 0 into 0 1548151362.945 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151362.947 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548151362.947 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151362.947 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151362.947 * [misc]backup-simplify: Simplify (- 0) into 0 1548151362.947 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151362.948 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548151362.948 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1548151362.949 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151362.949 * [misc]taylor: Taking taylor expansion of 0 in k 1548151362.949 * [misc]backup-simplify: Simplify 0 into 0 1548151362.949 * [misc]backup-simplify: Simplify 0 into 0 1548151362.949 * [misc]backup-simplify: Simplify 0 into 0 1548151362.949 * [misc]backup-simplify: Simplify 0 into 0 1548151362.950 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151362.956 * [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 1548151362.957 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151362.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548151362.957 * [misc]backup-simplify: Simplify (- 0) into 0 1548151362.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151362.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548151362.958 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1548151362.961 * [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 1548151362.961 * [misc]taylor: Taking taylor expansion of 0 in k 1548151362.962 * [misc]backup-simplify: Simplify 0 into 0 1548151362.962 * [misc]backup-simplify: Simplify 0 into 0 1548151362.962 * [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))))) 1548151362.962 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151362.962 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1548151362.962 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151362.962 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1548151362.962 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1548151362.962 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151362.962 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151362.963 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151362.963 * [misc]taylor: Taking taylor expansion of k in k 1548151362.963 * [misc]backup-simplify: Simplify 0 into 0 1548151362.963 * [misc]backup-simplify: Simplify 1 into 1 1548151362.963 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151362.963 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.963 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1548151362.963 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1548151362.963 * [misc]taylor: Taking taylor expansion of -1 in k 1548151362.963 * [misc]backup-simplify: Simplify -1 into -1 1548151362.963 * [misc]taylor: Taking taylor expansion of n in k 1548151362.963 * [misc]backup-simplify: Simplify n into n 1548151362.963 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1548151362.963 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1548151362.964 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151362.964 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151362.964 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1548151362.964 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151362.964 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151362.964 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1548151362.964 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1548151362.964 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151362.964 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151362.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151362.964 * [misc]taylor: Taking taylor expansion of k in n 1548151362.964 * [misc]backup-simplify: Simplify k into k 1548151362.964 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151362.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.964 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1548151362.964 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1548151362.964 * [misc]taylor: Taking taylor expansion of -1 in n 1548151362.964 * [misc]backup-simplify: Simplify -1 into -1 1548151362.964 * [misc]taylor: Taking taylor expansion of n in n 1548151362.965 * [misc]backup-simplify: Simplify 0 into 0 1548151362.965 * [misc]backup-simplify: Simplify 1 into 1 1548151362.965 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151362.965 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548151362.965 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151362.965 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151362.965 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548151362.966 * [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))) 1548151362.966 * [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)))) 1548151362.966 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151362.966 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1548151362.966 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1548151362.966 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151362.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151362.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151362.966 * [misc]taylor: Taking taylor expansion of k in n 1548151362.966 * [misc]backup-simplify: Simplify k into k 1548151362.966 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151362.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151362.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.966 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1548151362.966 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1548151362.966 * [misc]taylor: Taking taylor expansion of -1 in n 1548151362.966 * [misc]backup-simplify: Simplify -1 into -1 1548151362.966 * [misc]taylor: Taking taylor expansion of n in n 1548151362.966 * [misc]backup-simplify: Simplify 0 into 0 1548151362.966 * [misc]backup-simplify: Simplify 1 into 1 1548151362.967 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151362.967 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548151362.967 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151362.967 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151362.967 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548151362.968 * [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))) 1548151362.968 * [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)))) 1548151362.968 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1548151362.968 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1548151362.968 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151362.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151362.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151362.968 * [misc]taylor: Taking taylor expansion of k in k 1548151362.968 * [misc]backup-simplify: Simplify 0 into 0 1548151362.968 * [misc]backup-simplify: Simplify 1 into 1 1548151362.968 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151362.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151362.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151362.968 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1548151362.968 * [misc]taylor: Taking taylor expansion of (log -1) in k 1548151362.968 * [misc]taylor: Taking taylor expansion of -1 in k 1548151362.968 * [misc]backup-simplify: Simplify -1 into -1 1548151362.969 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548151362.969 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151362.969 * [misc]taylor: Taking taylor expansion of n in k 1548151362.969 * [misc]backup-simplify: Simplify n into n 1548151362.969 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151362.969 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151362.969 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151362.969 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548151362.969 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1548151362.969 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1548151362.970 * [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)))) 1548151362.970 * [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)))) 1548151362.970 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548151362.973 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1548151362.973 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151362.973 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151362.973 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151362.974 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548151362.974 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1548151362.975 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151362.975 * [misc]taylor: Taking taylor expansion of 0 in k 1548151362.975 * [misc]backup-simplify: Simplify 0 into 0 1548151362.975 * [misc]backup-simplify: Simplify 0 into 0 1548151362.975 * [misc]backup-simplify: Simplify 0 into 0 1548151362.976 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151362.979 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1548151362.979 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151362.980 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151362.980 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151362.980 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548151362.981 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1548151362.983 * [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 1548151362.983 * [misc]taylor: Taking taylor expansion of 0 in k 1548151362.983 * [misc]backup-simplify: Simplify 0 into 0 1548151362.983 * [misc]backup-simplify: Simplify 0 into 0 1548151362.983 * [misc]backup-simplify: Simplify 0 into 0 1548151362.983 * [misc]backup-simplify: Simplify 0 into 0 1548151362.983 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151362.990 * [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 1548151362.990 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151362.991 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548151362.991 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151362.991 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548151362.992 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1548151362.995 * [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 1548151362.995 * [misc]taylor: Taking taylor expansion of 0 in k 1548151362.995 * [misc]backup-simplify: Simplify 0 into 0 1548151362.996 * [misc]backup-simplify: Simplify 0 into 0 1548151363.000 * [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))))) 1548151363.000 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1548151363.001 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1548151363.001 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1548151363.001 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151363.001 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151363.001 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151363.001 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151363.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.001 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151363.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.001 * [misc]taylor: Taking taylor expansion of k in k 1548151363.001 * [misc]backup-simplify: Simplify 0 into 0 1548151363.001 * [misc]backup-simplify: Simplify 1 into 1 1548151363.001 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.001 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.001 * [misc]backup-simplify: Simplify PI into PI 1548151363.002 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.002 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.002 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.002 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.003 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151363.003 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151363.004 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151363.004 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151363.004 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151363.004 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151363.004 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.004 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151363.004 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.004 * [misc]taylor: Taking taylor expansion of k in k 1548151363.004 * [misc]backup-simplify: Simplify 0 into 0 1548151363.004 * [misc]backup-simplify: Simplify 1 into 1 1548151363.004 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.004 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.004 * [misc]backup-simplify: Simplify PI into PI 1548151363.004 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.004 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.004 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.005 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.005 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151363.006 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151363.006 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1548151363.009 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151363.009 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151363.009 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.009 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.010 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548151363.014 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548151363.015 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1548151363.019 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151363.019 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151363.019 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.020 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.021 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548151363.025 * [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))) 1548151363.027 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1548151363.030 * [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)))) 1548151363.030 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.030 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1548151363.030 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151363.030 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151363.030 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151363.030 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151363.030 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.030 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.030 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.030 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.030 * [misc]taylor: Taking taylor expansion of k in k 1548151363.030 * [misc]backup-simplify: Simplify 0 into 0 1548151363.030 * [misc]backup-simplify: Simplify 1 into 1 1548151363.030 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.030 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.030 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.030 * [misc]backup-simplify: Simplify PI into PI 1548151363.031 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.031 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.031 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.031 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.032 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151363.032 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.032 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151363.032 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151363.032 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151363.032 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151363.032 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.032 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.032 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.032 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.032 * [misc]taylor: Taking taylor expansion of k in k 1548151363.032 * [misc]backup-simplify: Simplify 0 into 0 1548151363.032 * [misc]backup-simplify: Simplify 1 into 1 1548151363.033 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.033 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.033 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.033 * [misc]backup-simplify: Simplify PI into PI 1548151363.033 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.033 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.033 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.033 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.034 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151363.034 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.034 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.034 * [misc]backup-simplify: Simplify 0 into 0 1548151363.035 * [misc]backup-simplify: Simplify 0 into 0 1548151363.035 * [misc]backup-simplify: Simplify 0 into 0 1548151363.035 * [misc]backup-simplify: Simplify 0 into 0 1548151363.035 * [misc]backup-simplify: Simplify 0 into 0 1548151363.035 * [misc]backup-simplify: Simplify 0 into 0 1548151363.035 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1548151363.035 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.035 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1548151363.035 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151363.035 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151363.035 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151363.035 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151363.035 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.035 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.035 * [misc]taylor: Taking taylor expansion of k in k 1548151363.035 * [misc]backup-simplify: Simplify 0 into 0 1548151363.035 * [misc]backup-simplify: Simplify 1 into 1 1548151363.036 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.036 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.036 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.036 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.036 * [misc]backup-simplify: Simplify PI into PI 1548151363.036 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.036 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.036 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.037 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151363.037 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.037 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151363.037 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151363.037 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151363.037 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151363.037 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.037 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.037 * [misc]taylor: Taking taylor expansion of k in k 1548151363.038 * [misc]backup-simplify: Simplify 0 into 0 1548151363.038 * [misc]backup-simplify: Simplify 1 into 1 1548151363.038 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.038 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.038 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.038 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.038 * [misc]backup-simplify: Simplify PI into PI 1548151363.038 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.038 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.038 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.039 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151363.039 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.039 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.039 * [misc]backup-simplify: Simplify 0 into 0 1548151363.040 * [misc]backup-simplify: Simplify 0 into 0 1548151363.040 * [misc]backup-simplify: Simplify 0 into 0 1548151363.040 * [misc]backup-simplify: Simplify 0 into 0 1548151363.040 * [misc]backup-simplify: Simplify 0 into 0 1548151363.040 * [misc]backup-simplify: Simplify 0 into 0 1548151363.040 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1548151363.040 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1548151363.040 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) 1548151363.040 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0 1548151363.040 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548151363.040 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1548151363.040 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1548151363.040 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1548151363.040 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1548151363.040 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151363.040 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.040 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151363.040 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.041 * [misc]taylor: Taking taylor expansion of k in k 1548151363.041 * [misc]backup-simplify: Simplify 0 into 0 1548151363.041 * [misc]backup-simplify: Simplify 1 into 1 1548151363.041 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151363.041 * [misc]taylor: Taking taylor expansion of 2 in k 1548151363.041 * [misc]backup-simplify: Simplify 2 into 2 1548151363.041 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151363.041 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.041 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.041 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.042 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1548151363.042 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1548151363.043 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1548151363.043 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151363.043 * [misc]taylor: Taking taylor expansion of k in k 1548151363.043 * [misc]backup-simplify: Simplify 0 into 0 1548151363.043 * [misc]backup-simplify: Simplify 1 into 1 1548151363.043 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.044 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151363.044 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548151363.044 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1548151363.044 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1548151363.044 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1548151363.044 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1548151363.044 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151363.044 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.044 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151363.044 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.044 * [misc]taylor: Taking taylor expansion of k in k 1548151363.044 * [misc]backup-simplify: Simplify 0 into 0 1548151363.044 * [misc]backup-simplify: Simplify 1 into 1 1548151363.044 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151363.044 * [misc]taylor: Taking taylor expansion of 2 in k 1548151363.044 * [misc]backup-simplify: Simplify 2 into 2 1548151363.044 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151363.045 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.045 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.045 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.045 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1548151363.046 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1548151363.047 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1548151363.047 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548151363.047 * [misc]taylor: Taking taylor expansion of k in k 1548151363.047 * [misc]backup-simplify: Simplify 0 into 0 1548151363.047 * [misc]backup-simplify: Simplify 1 into 1 1548151363.047 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.047 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151363.048 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 2)) 0) into 0 1548151363.048 * [misc]backup-simplify: Simplify 0 into 0 1548151363.050 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548151363.050 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151363.050 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.050 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.051 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1548151363.054 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1548151363.057 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 1548151363.060 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 0)) into (- (* +nan.0 (sqrt 1/2))) 1548151363.060 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548151363.061 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151363.066 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548151363.066 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151363.066 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.067 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1548151363.070 * [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))) 1548151363.078 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow 2 1/2))) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) 1548151363.085 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (+ (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) +nan.0) (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) 1548151363.087 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) 1548151363.088 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151363.092 * [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 1548151363.092 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548151363.092 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.092 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.092 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1548151363.096 * [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))) 1548151363.105 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow 2 1/2))) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (/ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow 2 1/2))) (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (- (+ (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 3) (pow (sqrt 1/2) 4)))) (* 1/48 (* (pow (log 2) 3) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))))) 1548151363.126 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (+ (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) +nan.0) (+ (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) +nan.0) (* (- (+ (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 3) (pow (sqrt 1/2) 4)))) (* 1/48 (* (pow (log 2) 3) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) 1548151363.139 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) 1548151363.157 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) (pow k 2)) (* (- (* +nan.0 (sqrt 1/2))) k))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3))))) (- (+ (* +nan.0 (* (sqrt 1/2) (pow k 3))) (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))))))) 1548151363.157 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow 2 (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1548151363.157 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0 1548151363.157 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548151363.157 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151363.157 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151363.157 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1548151363.157 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1548151363.157 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151363.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.157 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.157 * [misc]taylor: Taking taylor expansion of k in k 1548151363.157 * [misc]backup-simplify: Simplify 0 into 0 1548151363.157 * [misc]backup-simplify: Simplify 1 into 1 1548151363.158 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.158 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151363.158 * [misc]taylor: Taking taylor expansion of 2 in k 1548151363.158 * [misc]backup-simplify: Simplify 2 into 2 1548151363.158 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151363.158 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.158 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.158 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.159 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1548151363.159 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1548151363.159 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1548151363.159 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151363.159 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.159 * [misc]taylor: Taking taylor expansion of k in k 1548151363.159 * [misc]backup-simplify: Simplify 0 into 0 1548151363.159 * [misc]backup-simplify: Simplify 1 into 1 1548151363.160 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.160 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.160 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151363.160 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548151363.160 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1548151363.160 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151363.160 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1548151363.160 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1548151363.160 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151363.161 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.161 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.161 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.161 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.161 * [misc]taylor: Taking taylor expansion of k in k 1548151363.161 * [misc]backup-simplify: Simplify 0 into 0 1548151363.161 * [misc]backup-simplify: Simplify 1 into 1 1548151363.161 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.161 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151363.161 * [misc]taylor: Taking taylor expansion of 2 in k 1548151363.161 * [misc]backup-simplify: Simplify 2 into 2 1548151363.161 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151363.161 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.161 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.162 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.162 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1548151363.162 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1548151363.162 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1548151363.162 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548151363.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.163 * [misc]taylor: Taking taylor expansion of k in k 1548151363.163 * [misc]backup-simplify: Simplify 0 into 0 1548151363.163 * [misc]backup-simplify: Simplify 1 into 1 1548151363.163 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.163 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.163 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548151363.164 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1548151363.164 * [misc]backup-simplify: Simplify 0 into 0 1548151363.164 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1548151363.165 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548151363.165 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548151363.165 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151363.166 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151363.167 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1548151363.168 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548151363.168 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548151363.168 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151363.170 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151363.171 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1548151363.171 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548151363.172 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548151363.173 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1548151363.173 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) 1548151363.173 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0 1548151363.173 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151363.173 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151363.173 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151363.173 * [misc]taylor: Taking taylor expansion of -1 in k 1548151363.173 * [misc]backup-simplify: Simplify -1 into -1 1548151363.173 * [misc]taylor: Taking taylor expansion of k in k 1548151363.173 * [misc]backup-simplify: Simplify 0 into 0 1548151363.173 * [misc]backup-simplify: Simplify 1 into 1 1548151363.174 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151363.174 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.175 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151363.175 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151363.175 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1548151363.175 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1548151363.175 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151363.175 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.175 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.175 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.175 * [misc]taylor: Taking taylor expansion of k in k 1548151363.175 * [misc]backup-simplify: Simplify 0 into 0 1548151363.175 * [misc]backup-simplify: Simplify 1 into 1 1548151363.175 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.175 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.175 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151363.175 * [misc]taylor: Taking taylor expansion of 2 in k 1548151363.175 * [misc]backup-simplify: Simplify 2 into 2 1548151363.175 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151363.176 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.176 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.176 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1548151363.176 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1548151363.177 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151363.177 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548151363.177 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548151363.177 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548151363.177 * [misc]taylor: Taking taylor expansion of -1 in k 1548151363.177 * [misc]backup-simplify: Simplify -1 into -1 1548151363.177 * [misc]taylor: Taking taylor expansion of k in k 1548151363.177 * [misc]backup-simplify: Simplify 0 into 0 1548151363.177 * [misc]backup-simplify: Simplify 1 into 1 1548151363.177 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151363.178 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.178 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548151363.178 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151363.178 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1548151363.178 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1548151363.178 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151363.178 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.178 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.178 * [misc]taylor: Taking taylor expansion of k in k 1548151363.178 * [misc]backup-simplify: Simplify 0 into 0 1548151363.178 * [misc]backup-simplify: Simplify 1 into 1 1548151363.179 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.179 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548151363.179 * [misc]taylor: Taking taylor expansion of 2 in k 1548151363.179 * [misc]backup-simplify: Simplify 2 into 2 1548151363.179 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548151363.179 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.179 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.180 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1548151363.180 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1548151363.180 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151363.181 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1548151363.181 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548151363.182 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548151363.183 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1548151363.183 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1548151363.184 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151363.185 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548151363.186 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1548151363.186 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1548151363.188 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (/ 1 (- k))) (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1548151363.188 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1548151363.188 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) into (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1548151363.188 * [misc]approximate: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in (k n) around 0 1548151363.188 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1548151363.188 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1548151363.188 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1548151363.188 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1548151363.188 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151363.188 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.188 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151363.189 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.189 * [misc]taylor: Taking taylor expansion of k in n 1548151363.189 * [misc]backup-simplify: Simplify k into k 1548151363.189 * [misc]taylor: Taking taylor expansion of (log n) in n 1548151363.189 * [misc]taylor: Taking taylor expansion of n in n 1548151363.189 * [misc]backup-simplify: Simplify 0 into 0 1548151363.189 * [misc]backup-simplify: Simplify 1 into 1 1548151363.189 * [misc]backup-simplify: Simplify (log 1) into 0 1548151363.189 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151363.189 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151363.189 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151363.189 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151363.189 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1548151363.190 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1548151363.190 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1548151363.190 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1548151363.190 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1548151363.190 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548151363.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.190 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548151363.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.190 * [misc]taylor: Taking taylor expansion of k in n 1548151363.190 * [misc]backup-simplify: Simplify k into k 1548151363.190 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151363.190 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.190 * [misc]backup-simplify: Simplify PI into PI 1548151363.190 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.190 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548151363.191 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548151363.191 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548151363.191 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1548151363.191 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1548151363.191 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548151363.191 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1548151363.191 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1548151363.191 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1548151363.191 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151363.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.192 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151363.192 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.192 * [misc]taylor: Taking taylor expansion of k in k 1548151363.192 * [misc]backup-simplify: Simplify 0 into 0 1548151363.192 * [misc]backup-simplify: Simplify 1 into 1 1548151363.192 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151363.192 * [misc]taylor: Taking taylor expansion of n in k 1548151363.192 * [misc]backup-simplify: Simplify n into n 1548151363.192 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151363.192 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.192 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.192 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.192 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1548151363.192 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1548151363.192 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151363.192 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151363.192 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151363.193 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151363.193 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.193 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151363.193 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.193 * [misc]taylor: Taking taylor expansion of k in k 1548151363.193 * [misc]backup-simplify: Simplify 0 into 0 1548151363.193 * [misc]backup-simplify: Simplify 1 into 1 1548151363.193 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.193 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.193 * [misc]backup-simplify: Simplify PI into PI 1548151363.193 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.193 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.193 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.194 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.194 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151363.195 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151363.195 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548151363.195 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1548151363.195 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1548151363.195 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1548151363.195 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151363.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.195 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151363.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.195 * [misc]taylor: Taking taylor expansion of k in k 1548151363.195 * [misc]backup-simplify: Simplify 0 into 0 1548151363.195 * [misc]backup-simplify: Simplify 1 into 1 1548151363.195 * [misc]taylor: Taking taylor expansion of (log n) in k 1548151363.195 * [misc]taylor: Taking taylor expansion of n in k 1548151363.195 * [misc]backup-simplify: Simplify n into n 1548151363.195 * [misc]backup-simplify: Simplify (log n) into (log n) 1548151363.195 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.196 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.196 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.196 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1548151363.196 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1548151363.196 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548151363.196 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548151363.196 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548151363.196 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548151363.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.196 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548151363.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.196 * [misc]taylor: Taking taylor expansion of k in k 1548151363.196 * [misc]backup-simplify: Simplify 0 into 0 1548151363.196 * [misc]backup-simplify: Simplify 1 into 1 1548151363.196 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.196 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.196 * [misc]backup-simplify: Simplify PI into PI 1548151363.197 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.197 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.197 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.197 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.198 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151363.198 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548151363.199 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow PI 1/2)) into (sqrt (* n PI)) 1548151363.199 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151363.199 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151363.199 * [misc]taylor: Taking taylor expansion of n in n 1548151363.199 * [misc]backup-simplify: Simplify 0 into 0 1548151363.199 * [misc]backup-simplify: Simplify 1 into 1 1548151363.199 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.199 * [misc]backup-simplify: Simplify PI into PI 1548151363.199 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151363.200 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151363.200 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.200 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151363.200 * [misc]backup-simplify: Simplify 0 into 0 1548151363.203 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151363.203 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151363.203 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.203 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.204 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548151363.207 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548151363.208 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548151363.208 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548151363.208 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.209 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.209 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1548151363.209 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1548151363.210 * [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))))) 1548151363.211 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) in n 1548151363.211 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n)))) in n 1548151363.211 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (log PI))) in n 1548151363.211 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.211 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log PI)) in n 1548151363.211 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151363.211 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151363.211 * [misc]taylor: Taking taylor expansion of n in n 1548151363.211 * [misc]backup-simplify: Simplify 0 into 0 1548151363.211 * [misc]backup-simplify: Simplify 1 into 1 1548151363.211 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.211 * [misc]backup-simplify: Simplify PI into PI 1548151363.211 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151363.212 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151363.212 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.213 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151363.213 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151363.213 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.213 * [misc]backup-simplify: Simplify PI into PI 1548151363.213 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.213 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (log n))) in n 1548151363.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.213 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log n)) in n 1548151363.213 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151363.213 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151363.213 * [misc]taylor: Taking taylor expansion of n in n 1548151363.213 * [misc]backup-simplify: Simplify 0 into 0 1548151363.213 * [misc]backup-simplify: Simplify 1 into 1 1548151363.213 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.213 * [misc]backup-simplify: Simplify PI into PI 1548151363.213 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151363.214 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151363.214 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.215 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151363.215 * [misc]taylor: Taking taylor expansion of (log n) in n 1548151363.215 * [misc]taylor: Taking taylor expansion of n in n 1548151363.215 * [misc]backup-simplify: Simplify 0 into 0 1548151363.215 * [misc]backup-simplify: Simplify 1 into 1 1548151363.215 * [misc]backup-simplify: Simplify (log 1) into 0 1548151363.215 * [misc]backup-simplify: Simplify (* 0 (log PI)) into 0 1548151363.215 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.216 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151363.216 * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 1548151363.216 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548151363.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.216 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.216 * [misc]backup-simplify: Simplify 0 into 0 1548151363.217 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1548151363.221 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151363.221 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151363.221 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.221 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.223 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548151363.227 * [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))) 1548151363.228 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548151363.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548151363.229 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.229 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1548151363.230 * [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))) 1548151363.233 * [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))))) 1548151363.233 * [misc]taylor: Taking taylor expansion of (+ (* 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))))) in n 1548151363.233 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) in n 1548151363.234 * [misc]taylor: Taking taylor expansion of 1/8 in n 1548151363.234 * [misc]backup-simplify: Simplify 1/8 into 1/8 1548151363.234 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (log n) 2)) in n 1548151363.234 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151363.234 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151363.234 * [misc]taylor: Taking taylor expansion of n in n 1548151363.234 * [misc]backup-simplify: Simplify 0 into 0 1548151363.234 * [misc]backup-simplify: Simplify 1 into 1 1548151363.234 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.234 * [misc]backup-simplify: Simplify PI into PI 1548151363.234 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151363.235 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151363.235 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.235 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151363.235 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1548151363.235 * [misc]taylor: Taking taylor expansion of (log n) in n 1548151363.235 * [misc]taylor: Taking taylor expansion of n in n 1548151363.235 * [misc]backup-simplify: Simplify 0 into 0 1548151363.235 * [misc]backup-simplify: Simplify 1 into 1 1548151363.235 * [misc]backup-simplify: Simplify (log 1) into 0 1548151363.236 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151363.236 * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2)))) in n 1548151363.236 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) in n 1548151363.236 * [misc]taylor: Taking taylor expansion of 1/4 in n 1548151363.236 * [misc]backup-simplify: Simplify 1/4 into 1/4 1548151363.236 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (log PI) (log n))) in n 1548151363.236 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151363.236 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151363.236 * [misc]taylor: Taking taylor expansion of n in n 1548151363.236 * [misc]backup-simplify: Simplify 0 into 0 1548151363.236 * [misc]backup-simplify: Simplify 1 into 1 1548151363.236 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.236 * [misc]backup-simplify: Simplify PI into PI 1548151363.236 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151363.237 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151363.237 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.237 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151363.237 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1548151363.237 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151363.237 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.237 * [misc]backup-simplify: Simplify PI into PI 1548151363.237 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.237 * [misc]taylor: Taking taylor expansion of (log n) in n 1548151363.237 * [misc]taylor: Taking taylor expansion of n in n 1548151363.237 * [misc]backup-simplify: Simplify 0 into 0 1548151363.237 * [misc]backup-simplify: Simplify 1 into 1 1548151363.237 * [misc]backup-simplify: Simplify (log 1) into 0 1548151363.237 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))) in n 1548151363.237 * [misc]taylor: Taking taylor expansion of 1/8 in n 1548151363.237 * [misc]backup-simplify: Simplify 1/8 into 1/8 1548151363.237 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (log PI) 2)) in n 1548151363.237 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548151363.237 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548151363.237 * [misc]taylor: Taking taylor expansion of n in n 1548151363.238 * [misc]backup-simplify: Simplify 0 into 0 1548151363.238 * [misc]backup-simplify: Simplify 1 into 1 1548151363.238 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.238 * [misc]backup-simplify: Simplify PI into PI 1548151363.238 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548151363.238 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548151363.238 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548151363.239 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548151363.239 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1548151363.239 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151363.239 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.239 * [misc]backup-simplify: Simplify PI into PI 1548151363.239 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.239 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151363.239 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151363.239 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1548151363.239 * [misc]backup-simplify: Simplify (* 0 (pow (log n) 2)) into 0 1548151363.239 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1548151363.239 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151363.240 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1548151363.240 * [misc]backup-simplify: Simplify (* 0 (* (log PI) (log n))) into 0 1548151363.240 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1548151363.240 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1548151363.241 * [misc]backup-simplify: Simplify (* 0 (pow (log PI) 2)) into 0 1548151363.241 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1548151363.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.241 * [misc]backup-simplify: Simplify 0 into 0 1548151363.243 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151363.243 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (log PI))) into (- (* +nan.0 (* (log PI) PI))) 1548151363.244 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (log PI) PI)))) (* 0 0)) into (- (* +nan.0 (* (log PI) PI))) 1548151363.246 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548151363.246 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548151363.246 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (log n))) into (- (* +nan.0 (* PI (log n)))) 1548151363.246 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* PI (log n))))) (* 0 0)) into (- (* +nan.0 (* PI (log n)))) 1548151363.247 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log PI) PI))) (- (* +nan.0 (* PI (log n))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1548151363.248 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n))))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1548151363.248 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1548151363.249 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548151363.250 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1548151363.250 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1548151363.251 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) (* 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))))))))) 1548151363.251 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ 1 (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548151363.251 * [misc]approximate: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1548151363.251 * [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 1548151363.251 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151363.251 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151363.251 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151363.252 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151363.252 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.252 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151363.252 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.252 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151363.252 * [misc]taylor: Taking taylor expansion of k in n 1548151363.252 * [misc]backup-simplify: Simplify k into k 1548151363.252 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151363.252 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151363.252 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.252 * [misc]backup-simplify: Simplify PI into PI 1548151363.252 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.252 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151363.252 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151363.252 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151363.252 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151363.253 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.253 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151363.253 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1548151363.253 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1548151363.253 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151363.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.253 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151363.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.253 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151363.253 * [misc]taylor: Taking taylor expansion of k in n 1548151363.253 * [misc]backup-simplify: Simplify k into k 1548151363.253 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151363.253 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1548151363.253 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151363.253 * [misc]taylor: Taking taylor expansion of n in n 1548151363.253 * [misc]backup-simplify: Simplify 0 into 0 1548151363.253 * [misc]backup-simplify: Simplify 1 into 1 1548151363.253 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.253 * [misc]backup-simplify: Simplify (log 1) into 0 1548151363.253 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151363.253 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151363.253 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151363.253 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548151363.253 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1548151363.254 * [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)))) 1548151363.254 * [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 1548151363.254 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151363.254 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151363.254 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151363.254 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151363.254 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.254 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.254 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.254 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.254 * [misc]taylor: Taking taylor expansion of k in k 1548151363.254 * [misc]backup-simplify: Simplify 0 into 0 1548151363.254 * [misc]backup-simplify: Simplify 1 into 1 1548151363.254 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.254 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.254 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.254 * [misc]backup-simplify: Simplify PI into PI 1548151363.254 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.254 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.254 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.254 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.255 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151363.255 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.255 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151363.255 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1548151363.255 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1548151363.255 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151363.255 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.255 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.255 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.255 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.255 * [misc]taylor: Taking taylor expansion of k in k 1548151363.255 * [misc]backup-simplify: Simplify 0 into 0 1548151363.255 * [misc]backup-simplify: Simplify 1 into 1 1548151363.255 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.255 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1548151363.255 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1548151363.255 * [misc]taylor: Taking taylor expansion of n in k 1548151363.255 * [misc]backup-simplify: Simplify n into n 1548151363.255 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1548151363.255 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1548151363.255 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.256 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.256 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.256 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1548151363.256 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.256 * [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 1548151363.256 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151363.256 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548151363.256 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548151363.256 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151363.256 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.256 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.256 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.256 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.256 * [misc]taylor: Taking taylor expansion of k in k 1548151363.256 * [misc]backup-simplify: Simplify 0 into 0 1548151363.256 * [misc]backup-simplify: Simplify 1 into 1 1548151363.256 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.256 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.256 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.256 * [misc]backup-simplify: Simplify PI into PI 1548151363.256 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.256 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.257 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.257 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.257 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548151363.257 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.257 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548151363.257 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1548151363.257 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1548151363.257 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548151363.257 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.257 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.257 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.257 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.257 * [misc]taylor: Taking taylor expansion of k in k 1548151363.257 * [misc]backup-simplify: Simplify 0 into 0 1548151363.257 * [misc]backup-simplify: Simplify 1 into 1 1548151363.257 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.258 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1548151363.258 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1548151363.258 * [misc]taylor: Taking taylor expansion of n in k 1548151363.258 * [misc]backup-simplify: Simplify n into n 1548151363.258 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1548151363.258 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1548151363.258 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.258 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548151363.258 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548151363.258 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1548151363.258 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.258 * [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))))) 1548151363.258 * [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 1548151363.258 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151363.258 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548151363.258 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548151363.258 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151363.258 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.258 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151363.258 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.258 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151363.258 * [misc]taylor: Taking taylor expansion of k in n 1548151363.258 * [misc]backup-simplify: Simplify k into k 1548151363.259 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151363.259 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151363.259 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.259 * [misc]backup-simplify: Simplify PI into PI 1548151363.259 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.259 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151363.259 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151363.259 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151363.259 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548151363.259 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548151363.259 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548151363.259 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1548151363.259 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1548151363.259 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548151363.259 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.259 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151363.259 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.259 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151363.260 * [misc]taylor: Taking taylor expansion of k in n 1548151363.260 * [misc]backup-simplify: Simplify k into k 1548151363.260 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151363.260 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1548151363.260 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548151363.260 * [misc]taylor: Taking taylor expansion of n in n 1548151363.260 * [misc]backup-simplify: Simplify 0 into 0 1548151363.260 * [misc]backup-simplify: Simplify 1 into 1 1548151363.260 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.260 * [misc]backup-simplify: Simplify (log 1) into 0 1548151363.260 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151363.260 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548151363.260 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548151363.260 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548151363.260 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1548151363.260 * [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)))) 1548151363.260 * [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))))) 1548151363.261 * [misc]backup-simplify: Simplify (* (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)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1548151363.261 * [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 1548151363.261 * [misc]taylor: Taking taylor expansion of 0 in n 1548151363.261 * [misc]backup-simplify: Simplify 0 into 0 1548151363.261 * [misc]backup-simplify: Simplify 0 into 0 1548151363.261 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548151363.262 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548151363.262 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151363.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151363.263 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.263 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.263 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548151363.263 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1548151363.264 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151363.265 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151363.266 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151363.266 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151363.266 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.266 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.267 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1548151363.268 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151363.268 * [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 1548151363.268 * [misc]backup-simplify: Simplify 0 into 0 1548151363.269 * [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 1548151363.269 * [misc]taylor: Taking taylor expansion of 0 in n 1548151363.269 * [misc]backup-simplify: Simplify 0 into 0 1548151363.269 * [misc]backup-simplify: Simplify 0 into 0 1548151363.269 * [misc]backup-simplify: Simplify 0 into 0 1548151363.269 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151363.274 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548151363.274 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151363.275 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151363.275 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.275 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548151363.276 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1548151363.278 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151363.282 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151363.282 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151363.283 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151363.283 * [misc]backup-simplify: Simplify (- 0) into 0 1548151363.283 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.284 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1548151363.286 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151363.286 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1548151363.286 * [misc]backup-simplify: Simplify 0 into 0 1548151363.287 * [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 1548151363.287 * [misc]taylor: Taking taylor expansion of 0 in n 1548151363.287 * [misc]backup-simplify: Simplify 0 into 0 1548151363.287 * [misc]backup-simplify: Simplify 0 into 0 1548151363.287 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1548151363.288 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ 1 (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548151363.288 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1548151363.288 * [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 1548151363.288 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151363.288 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1548151363.288 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1548151363.288 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151363.288 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151363.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.288 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151363.288 * [misc]taylor: Taking taylor expansion of k in n 1548151363.288 * [misc]backup-simplify: Simplify k into k 1548151363.288 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151363.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.288 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1548151363.288 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1548151363.288 * [misc]taylor: Taking taylor expansion of -1 in n 1548151363.288 * [misc]backup-simplify: Simplify -1 into -1 1548151363.288 * [misc]taylor: Taking taylor expansion of n in n 1548151363.288 * [misc]backup-simplify: Simplify 0 into 0 1548151363.288 * [misc]backup-simplify: Simplify 1 into 1 1548151363.289 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151363.289 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548151363.289 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151363.289 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151363.289 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548151363.290 * [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))) 1548151363.290 * [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)))) 1548151363.290 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151363.290 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151363.290 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151363.290 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151363.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151363.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151363.290 * [misc]taylor: Taking taylor expansion of k in n 1548151363.290 * [misc]backup-simplify: Simplify k into k 1548151363.290 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151363.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.290 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151363.290 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.290 * [misc]backup-simplify: Simplify PI into PI 1548151363.291 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.291 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151363.291 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151363.291 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151363.292 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.292 * [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 1548151363.292 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151363.292 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1548151363.292 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1548151363.292 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151363.292 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.292 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.292 * [misc]taylor: Taking taylor expansion of k in k 1548151363.292 * [misc]backup-simplify: Simplify 0 into 0 1548151363.292 * [misc]backup-simplify: Simplify 1 into 1 1548151363.292 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.292 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.292 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1548151363.292 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1548151363.292 * [misc]taylor: Taking taylor expansion of -1 in k 1548151363.292 * [misc]backup-simplify: Simplify -1 into -1 1548151363.292 * [misc]taylor: Taking taylor expansion of n in k 1548151363.292 * [misc]backup-simplify: Simplify n into n 1548151363.292 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1548151363.293 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1548151363.293 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.293 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.293 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1548151363.293 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.293 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151363.293 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151363.293 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151363.293 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151363.294 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.294 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.294 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.294 * [misc]taylor: Taking taylor expansion of k in k 1548151363.294 * [misc]backup-simplify: Simplify 0 into 0 1548151363.294 * [misc]backup-simplify: Simplify 1 into 1 1548151363.294 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.294 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.294 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.294 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.294 * [misc]backup-simplify: Simplify PI into PI 1548151363.294 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.294 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.295 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.295 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151363.295 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.295 * [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 1548151363.295 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151363.295 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1548151363.295 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1548151363.295 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151363.296 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.296 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.296 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.296 * [misc]taylor: Taking taylor expansion of k in k 1548151363.296 * [misc]backup-simplify: Simplify 0 into 0 1548151363.296 * [misc]backup-simplify: Simplify 1 into 1 1548151363.296 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.296 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.296 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1548151363.296 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1548151363.296 * [misc]taylor: Taking taylor expansion of -1 in k 1548151363.296 * [misc]backup-simplify: Simplify -1 into -1 1548151363.296 * [misc]taylor: Taking taylor expansion of n in k 1548151363.296 * [misc]backup-simplify: Simplify n into n 1548151363.296 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1548151363.296 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1548151363.296 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.297 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.297 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1548151363.297 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.297 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548151363.297 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548151363.297 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548151363.297 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548151363.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548151363.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548151363.297 * [misc]taylor: Taking taylor expansion of k in k 1548151363.297 * [misc]backup-simplify: Simplify 0 into 0 1548151363.297 * [misc]backup-simplify: Simplify 1 into 1 1548151363.297 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548151363.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548151363.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.297 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548151363.297 * [misc]taylor: Taking taylor expansion of PI in k 1548151363.297 * [misc]backup-simplify: Simplify PI into PI 1548151363.298 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.298 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548151363.298 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548151363.298 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548151363.299 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.299 * [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))) 1548151363.299 * [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 1548151363.299 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151363.299 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1548151363.299 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1548151363.299 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151363.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151363.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151363.299 * [misc]taylor: Taking taylor expansion of k in n 1548151363.299 * [misc]backup-simplify: Simplify k into k 1548151363.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151363.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.299 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1548151363.299 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1548151363.299 * [misc]taylor: Taking taylor expansion of -1 in n 1548151363.300 * [misc]backup-simplify: Simplify -1 into -1 1548151363.300 * [misc]taylor: Taking taylor expansion of n in n 1548151363.300 * [misc]backup-simplify: Simplify 0 into 0 1548151363.300 * [misc]backup-simplify: Simplify 1 into 1 1548151363.300 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548151363.300 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548151363.300 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151363.300 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151363.300 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548151363.301 * [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))) 1548151363.301 * [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)))) 1548151363.301 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548151363.301 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548151363.301 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548151363.301 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548151363.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548151363.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548151363.301 * [misc]taylor: Taking taylor expansion of k in n 1548151363.301 * [misc]backup-simplify: Simplify k into k 1548151363.301 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548151363.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548151363.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548151363.301 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548151363.302 * [misc]taylor: Taking taylor expansion of PI in n 1548151363.302 * [misc]backup-simplify: Simplify PI into PI 1548151363.302 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548151363.302 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548151363.302 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548151363.302 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548151363.303 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548151363.303 * [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))) 1548151363.303 * [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))) 1548151363.304 * [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 1548151363.304 * [misc]taylor: Taking taylor expansion of 0 in n 1548151363.304 * [misc]backup-simplify: Simplify 0 into 0 1548151363.304 * [misc]backup-simplify: Simplify 0 into 0 1548151363.306 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548151363.306 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151363.306 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151363.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.307 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1548151363.308 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151363.309 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548151363.311 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1548151363.311 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548151363.311 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548151363.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.312 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548151363.312 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1548151363.313 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548151363.314 * [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 1548151363.314 * [misc]backup-simplify: Simplify 0 into 0 1548151363.314 * [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 1548151363.314 * [misc]taylor: Taking taylor expansion of 0 in n 1548151363.314 * [misc]backup-simplify: Simplify 0 into 0 1548151363.314 * [misc]backup-simplify: Simplify 0 into 0 1548151363.314 * [misc]backup-simplify: Simplify 0 into 0 1548151363.318 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548151363.319 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151363.319 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151363.319 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.320 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1548151363.322 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548151363.322 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548151363.327 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1548151363.327 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548151363.327 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548151363.328 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548151363.328 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548151363.328 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1548151363.330 * [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 1548151363.331 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1548151363.331 * [misc]backup-simplify: Simplify 0 into 0 1548151363.332 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1548151363.332 * [misc]taylor: Taking taylor expansion of 0 in n 1548151363.332 * [misc]backup-simplify: Simplify 0 into 0 1548151363.332 * [misc]backup-simplify: Simplify 0 into 0 1548151363.332 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1548151363.332 * * * [misc]progress: simplifying candidates 1548151363.332 * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # 1548151363.333 * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # 1548151363.333 * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # 1548151363.333 * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # 1548151363.333 * [enter]simplify: Simplifying (pow n (/ k 2)) 1548151363.333 * * [misc]simplify: iters left: 3 (5 enodes) 1548151363.334 * [exit]simplify: Simplified to (pow n (/ k 2)) 1548151363.334 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (/ (pow n 1/2) (pow n (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.334 * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # 1548151363.335 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548151363.335 * * [misc]simplify: iters left: 5 (6 enodes) 1548151363.337 * * [misc]simplify: iters left: 4 (8 enodes) 1548151363.339 * * [misc]simplify: iters left: 3 (11 enodes) 1548151363.342 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548151363.342 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.342 * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # 1548151363.342 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548151363.342 * * [misc]simplify: iters left: 5 (6 enodes) 1548151363.344 * * [misc]simplify: iters left: 4 (8 enodes) 1548151363.346 * * [misc]simplify: iters left: 3 (11 enodes) 1548151363.349 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548151363.349 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (pow n (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.349 * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # 1548151363.349 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548151363.350 * * [misc]simplify: iters left: 4 (5 enodes) 1548151363.351 * * [misc]simplify: iters left: 3 (7 enodes) 1548151363.353 * * [misc]simplify: iters left: 2 (10 enodes) 1548151363.356 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548151363.356 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (pow n 1) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.356 * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # 1548151363.357 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1548151363.357 * * [misc]simplify: iters left: 5 (6 enodes) 1548151363.358 * * [misc]simplify: iters left: 4 (8 enodes) 1548151363.361 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1548151363.361 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (pow n 1/2) (pow n (/ (- k) 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.361 * * * * [misc]progress: [ 9 / 139 ] simplifiying candidate # 1548151363.361 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1548151363.361 * * [misc]simplify: iters left: 5 (6 enodes) 1548151363.363 * * [misc]simplify: iters left: 4 (8 enodes) 1548151363.365 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1548151363.365 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (pow n 1/2) (pow n (/ (- k) 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.365 * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # 1548151363.365 * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # 1548151363.366 * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # 1548151363.366 * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # 1548151363.366 * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # 1548151363.366 * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # 1548151363.366 * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # 1548151363.366 * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # 1548151363.366 * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # 1548151363.366 * * * * [misc]progress: [ 19 / 139 ] simplifiying candidate # 1548151363.366 * * * * [misc]progress: [ 20 / 139 ] simplifiying candidate # 1548151363.366 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1548151363.366 * * [misc]simplify: iters left: 3 (5 enodes) 1548151363.368 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1548151363.368 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.368 * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # 1548151363.368 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548151363.368 * * [misc]simplify: iters left: 5 (6 enodes) 1548151363.370 * * [misc]simplify: iters left: 4 (8 enodes) 1548151363.372 * * [misc]simplify: iters left: 3 (11 enodes) 1548151363.375 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548151363.375 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.375 * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # 1548151363.376 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548151363.376 * * [misc]simplify: iters left: 5 (6 enodes) 1548151363.378 * * [misc]simplify: iters left: 4 (8 enodes) 1548151363.380 * * [misc]simplify: iters left: 3 (11 enodes) 1548151363.381 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548151363.381 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.381 * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # 1548151363.382 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548151363.382 * * [misc]simplify: iters left: 4 (5 enodes) 1548151363.382 * * [misc]simplify: iters left: 3 (7 enodes) 1548151363.383 * * [misc]simplify: iters left: 2 (10 enodes) 1548151363.385 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548151363.385 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.385 * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # 1548151363.385 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1548151363.385 * * [misc]simplify: iters left: 5 (6 enodes) 1548151363.386 * * [misc]simplify: iters left: 4 (8 enodes) 1548151363.387 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1548151363.387 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.387 * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # 1548151363.387 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1548151363.387 * * [misc]simplify: iters left: 5 (6 enodes) 1548151363.388 * * [misc]simplify: iters left: 4 (8 enodes) 1548151363.389 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1548151363.389 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151363.389 * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 29 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 31 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # 1548151363.389 * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # 1548151363.390 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))) 1548151363.390 * * [misc]simplify: iters left: 6 (10 enodes) 1548151363.392 * * [misc]simplify: iters left: 5 (15 enodes) 1548151363.394 * * [misc]simplify: iters left: 4 (31 enodes) 1548151363.400 * * [misc]simplify: iters left: 3 (70 enodes) 1548151363.412 * * [misc]simplify: iters left: 2 (125 enodes) 1548151363.450 * * [misc]simplify: iters left: 1 (187 enodes) 1548151363.498 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt k))) 1548151363.498 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (exp (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt k)))))) 1548151363.498 * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # 1548151363.498 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))) 1548151363.498 * * [misc]simplify: iters left: 6 (10 enodes) 1548151363.500 * * [misc]simplify: iters left: 5 (16 enodes) 1548151363.502 * * [misc]simplify: iters left: 4 (25 enodes) 1548151363.508 * * [misc]simplify: iters left: 3 (42 enodes) 1548151363.522 * * [misc]simplify: iters left: 2 (91 enodes) 1548151363.550 * * [misc]simplify: iters left: 1 (143 enodes) 1548151363.582 * [exit]simplify: Simplified to (fma (log 2) (+ -1/2 (/ k 2)) (log (sqrt k))) 1548151363.582 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (exp (fma (log 2) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1548151363.582 * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # 1548151363.582 * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # 1548151363.582 * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # 1548151363.582 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1548151363.582 * * [misc]simplify: iters left: 6 (12 enodes) 1548151363.584 * * [misc]simplify: iters left: 5 (23 enodes) 1548151363.588 * * [misc]simplify: iters left: 4 (56 enodes) 1548151363.599 * * [misc]simplify: iters left: 3 (118 enodes) 1548151363.632 * * [misc]simplify: iters left: 2 (201 enodes) 1548151363.682 * * [misc]simplify: iters left: 1 (281 enodes) 1548151363.779 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1548151363.779 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1548151363.779 * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # 1548151363.779 * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # 1548151363.779 * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # 1548151363.779 * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # 1548151363.779 * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # 1548151363.779 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1548151363.779 * * [misc]simplify: iters left: 6 (8 enodes) 1548151363.782 * * [misc]simplify: iters left: 5 (11 enodes) 1548151363.786 * * [misc]simplify: iters left: 4 (13 enodes) 1548151363.790 * * [misc]simplify: iters left: 3 (14 enodes) 1548151363.795 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1548151363.795 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1548151363.795 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1548151363.795 * * [misc]simplify: iters left: 6 (8 enodes) 1548151363.798 * * [misc]simplify: iters left: 5 (10 enodes) 1548151363.801 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1548151363.801 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1548151363.801 * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # 1548151363.801 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1548151363.801 * * [misc]simplify: iters left: 6 (8 enodes) 1548151363.804 * * [misc]simplify: iters left: 5 (11 enodes) 1548151363.809 * * [misc]simplify: iters left: 4 (13 enodes) 1548151363.813 * * [misc]simplify: iters left: 3 (14 enodes) 1548151363.818 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1548151363.818 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1548151363.818 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1548151363.818 * * [misc]simplify: iters left: 6 (8 enodes) 1548151363.821 * * [misc]simplify: iters left: 5 (10 enodes) 1548151363.824 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1548151363.824 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1548151363.824 * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # 1548151363.824 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548151363.824 * * [misc]simplify: iters left: 6 (12 enodes) 1548151363.828 * * [misc]simplify: iters left: 5 (20 enodes) 1548151363.834 * * [misc]simplify: iters left: 4 (32 enodes) 1548151363.846 * * [misc]simplify: iters left: 3 (35 enodes) 1548151363.854 * * [misc]simplify: iters left: 2 (38 enodes) 1548151363.864 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548151363.864 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151363.865 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.865 * * [misc]simplify: iters left: 6 (10 enodes) 1548151363.867 * * [misc]simplify: iters left: 5 (12 enodes) 1548151363.871 * * [misc]simplify: iters left: 4 (15 enodes) 1548151363.876 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.876 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151363.876 * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # 1548151363.876 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.876 * * [misc]simplify: iters left: 6 (11 enodes) 1548151363.880 * * [misc]simplify: iters left: 5 (15 enodes) 1548151363.884 * * [misc]simplify: iters left: 4 (20 enodes) 1548151363.889 * * [misc]simplify: iters left: 3 (21 enodes) 1548151363.895 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.895 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151363.896 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.896 * * [misc]simplify: iters left: 6 (10 enodes) 1548151363.898 * * [misc]simplify: iters left: 5 (12 enodes) 1548151363.902 * * [misc]simplify: iters left: 4 (15 enodes) 1548151363.906 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.906 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151363.906 * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # 1548151363.906 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1548151363.906 * * [misc]simplify: iters left: 6 (6 enodes) 1548151363.908 * * [misc]simplify: iters left: 5 (10 enodes) 1548151363.912 * * [misc]simplify: iters left: 4 (16 enodes) 1548151363.914 * * [misc]simplify: iters left: 3 (18 enodes) 1548151363.915 * * [misc]simplify: iters left: 2 (23 enodes) 1548151363.918 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548151363.918 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151363.918 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151363.918 * * [misc]simplify: iters left: 6 (9 enodes) 1548151363.919 * * [misc]simplify: iters left: 5 (11 enodes) 1548151363.921 * * [misc]simplify: iters left: 4 (14 enodes) 1548151363.923 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151363.923 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151363.923 * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # 1548151363.923 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1548151363.923 * * [misc]simplify: iters left: 4 (7 enodes) 1548151363.925 * * [misc]simplify: iters left: 3 (8 enodes) 1548151363.926 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1548151363.926 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1548151363.927 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1548151363.927 * * [misc]simplify: iters left: 6 (8 enodes) 1548151363.928 * * [misc]simplify: iters left: 5 (10 enodes) 1548151363.929 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1548151363.929 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1548151363.929 * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # 1548151363.930 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1548151363.930 * * [misc]simplify: iters left: 4 (7 enodes) 1548151363.931 * * [misc]simplify: iters left: 3 (8 enodes) 1548151363.933 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1548151363.933 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1548151363.933 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1548151363.933 * * [misc]simplify: iters left: 6 (8 enodes) 1548151363.934 * * [misc]simplify: iters left: 5 (10 enodes) 1548151363.936 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1548151363.936 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1548151363.936 * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # 1548151363.936 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548151363.936 * * [misc]simplify: iters left: 6 (11 enodes) 1548151363.937 * * [misc]simplify: iters left: 5 (15 enodes) 1548151363.940 * * [misc]simplify: iters left: 4 (18 enodes) 1548151363.944 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548151363.944 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151363.944 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.944 * * [misc]simplify: iters left: 6 (10 enodes) 1548151363.947 * * [misc]simplify: iters left: 5 (12 enodes) 1548151363.951 * * [misc]simplify: iters left: 4 (15 enodes) 1548151363.955 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.955 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151363.955 * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # 1548151363.955 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.956 * * [misc]simplify: iters left: 6 (10 enodes) 1548151363.957 * * [misc]simplify: iters left: 5 (12 enodes) 1548151363.959 * * [misc]simplify: iters left: 4 (15 enodes) 1548151363.962 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.962 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151363.962 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.962 * * [misc]simplify: iters left: 6 (10 enodes) 1548151363.964 * * [misc]simplify: iters left: 5 (12 enodes) 1548151363.965 * * [misc]simplify: iters left: 4 (15 enodes) 1548151363.968 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151363.968 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151363.968 * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # 1548151363.968 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1548151363.968 * * [misc]simplify: iters left: 4 (5 enodes) 1548151363.969 * * [misc]simplify: iters left: 3 (7 enodes) 1548151363.970 * * [misc]simplify: iters left: 2 (9 enodes) 1548151363.971 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548151363.971 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151363.971 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151363.971 * * [misc]simplify: iters left: 6 (9 enodes) 1548151363.972 * * [misc]simplify: iters left: 5 (11 enodes) 1548151363.974 * * [misc]simplify: iters left: 4 (14 enodes) 1548151363.976 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548151363.976 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548151363.976 * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # 1548151363.976 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1548151363.976 * * [misc]simplify: iters left: 3 (5 enodes) 1548151363.977 * * [misc]simplify: iters left: 2 (8 enodes) 1548151363.979 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1548151363.979 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (- (/ k 2))))))) 1548151363.979 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1548151363.979 * * [misc]simplify: iters left: 6 (7 enodes) 1548151363.981 * * [misc]simplify: iters left: 5 (9 enodes) 1548151363.982 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1548151363.982 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1548151363.982 * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # 1548151363.982 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1548151363.982 * * [misc]simplify: iters left: 3 (5 enodes) 1548151363.984 * * [misc]simplify: iters left: 2 (8 enodes) 1548151363.986 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1548151363.986 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (- (/ k 2))))))) 1548151363.986 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1548151363.986 * * [misc]simplify: iters left: 6 (7 enodes) 1548151363.988 * * [misc]simplify: iters left: 5 (9 enodes) 1548151363.991 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1548151363.991 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1548151363.991 * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # 1548151363.991 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548151363.992 * * [misc]simplify: iters left: 6 (10 enodes) 1548151363.994 * * [misc]simplify: iters left: 5 (16 enodes) 1548151363.999 * * [misc]simplify: iters left: 4 (19 enodes) 1548151364.004 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548151364.004 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151364.004 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548151364.004 * * [misc]simplify: iters left: 6 (9 enodes) 1548151364.007 * * [misc]simplify: iters left: 5 (11 enodes) 1548151364.010 * * [misc]simplify: iters left: 4 (14 enodes) 1548151364.014 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548151364.014 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151364.014 * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # 1548151364.014 * [enter]simplify: Simplifying (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151364.014 * * [misc]simplify: iters left: 6 (9 enodes) 1548151364.017 * * [misc]simplify: iters left: 5 (13 enodes) 1548151364.021 * * [misc]simplify: iters left: 4 (16 enodes) 1548151364.025 * [exit]simplify: Simplified to (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151364.025 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151364.025 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151364.025 * * [misc]simplify: iters left: 6 (9 enodes) 1548151364.028 * * [misc]simplify: iters left: 5 (11 enodes) 1548151364.031 * * [misc]simplify: iters left: 4 (14 enodes) 1548151364.035 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548151364.035 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548151364.035 * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # 1548151364.036 * [enter]simplify: Simplifying (/ 1 1) 1548151364.036 * * [misc]simplify: iters left: 2 (2 enodes) 1548151364.036 * * [misc]simplify: iters left: 1 (4 enodes) 1548151364.037 * [exit]simplify: Simplified to 1 1548151364.037 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151364.037 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151364.037 * * [misc]simplify: iters left: 6 (8 enodes) 1548151364.040 * * [misc]simplify: iters left: 5 (10 enodes) 1548151364.042 * * [misc]simplify: iters left: 4 (13 enodes) 1548151364.046 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548151364.046 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548151364.046 * * * * [misc]progress: [ 60 / 139 ] simplifiying candidate # 1548151364.046 * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # 1548151364.046 * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # 1548151364.046 * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # 1548151364.047 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1548151364.047 * * [misc]simplify: iters left: 5 (5 enodes) 1548151364.048 * * [misc]simplify: iters left: 4 (7 enodes) 1548151364.050 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1548151364.051 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow 2 1/2)) (pow 2 (- (/ k 2)))))) 1548151364.051 * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # 1548151364.051 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1548151364.051 * * [misc]simplify: iters left: 5 (5 enodes) 1548151364.052 * * [misc]simplify: iters left: 4 (7 enodes) 1548151364.054 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1548151364.055 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow 2 1/2)) (pow 2 (- (/ k 2)))))) 1548151364.055 * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # 1548151364.055 * [enter]simplify: Simplifying (cbrt (pow 2 (- 1/2 (/ k 2)))) 1548151364.055 * * [misc]simplify: iters left: 6 (7 enodes) 1548151364.057 * * [misc]simplify: iters left: 5 (9 enodes) 1548151364.060 * * [misc]simplify: iters left: 4 (12 enodes) 1548151364.063 * [exit]simplify: Simplified to (cbrt (pow 2 (- 1/2 (/ k 2)))) 1548151364.063 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1548151364.063 * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # 1548151364.063 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (/ k 2)))) 1548151364.063 * * [misc]simplify: iters left: 6 (7 enodes) 1548151364.065 * * [misc]simplify: iters left: 5 (9 enodes) 1548151364.068 * * [misc]simplify: iters left: 4 (12 enodes) 1548151364.071 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (/ k 2)))) 1548151364.071 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2))))))) 1548151364.072 * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # 1548151364.072 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1548151364.072 * * [misc]simplify: iters left: 5 (6 enodes) 1548151364.074 * * [misc]simplify: iters left: 4 (8 enodes) 1548151364.076 * * [misc]simplify: iters left: 3 (11 enodes) 1548151364.079 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1548151364.079 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) 1) (pow 2 (- 1/2 (/ k 2)))))) 1548151364.079 * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # 1548151364.080 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548151364.080 * * [misc]simplify: iters left: 4 (4 enodes) 1548151364.081 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548151364.081 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548151364.081 * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # 1548151364.081 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1548151364.081 * * [misc]simplify: iters left: 2 (3 enodes) 1548151364.082 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548151364.082 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548151364.082 * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # 1548151364.082 * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # 1548151364.082 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1548151364.083 * * [misc]simplify: iters left: 3 (4 enodes) 1548151364.084 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1548151364.084 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow 2 1/2)) (pow 2 (/ k 2))))) 1548151364.084 * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # 1548151364.084 * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # 1548151364.084 * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # 1548151364.084 * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # 1548151364.084 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (* (log n) (- 1/2 (/ k 2))))) 1548151364.084 * * [misc]simplify: iters left: 6 (13 enodes) 1548151364.090 * * [misc]simplify: iters left: 5 (24 enodes) 1548151364.098 * * [misc]simplify: iters left: 4 (59 enodes) 1548151364.118 * * [misc]simplify: iters left: 3 (159 enodes) 1548151364.157 * * [misc]simplify: iters left: 2 (268 enodes) 1548151364.213 * * [misc]simplify: iters left: 1 (458 enodes) 1548151364.416 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) 1548151364.416 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log n) (log PI)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151364.416 * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # 1548151364.416 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (pow n (- 1/2 (/ k 2)))))) 1548151364.417 * * [misc]simplify: iters left: 6 (13 enodes) 1548151364.419 * * [misc]simplify: iters left: 5 (21 enodes) 1548151364.422 * * [misc]simplify: iters left: 4 (36 enodes) 1548151364.429 * * [misc]simplify: iters left: 3 (80 enodes) 1548151364.468 * * [misc]simplify: iters left: 2 (200 enodes) 1548151364.579 * [exit]simplify: Simplified to (* (+ (log PI) (log n)) (- 1/2 (/ k 2))) 1548151364.579 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log PI) (log n)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151364.579 * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # 1548151364.580 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151364.580 * * [misc]simplify: iters left: 6 (14 enodes) 1548151364.586 * * [misc]simplify: iters left: 5 (26 enodes) 1548151364.592 * * [misc]simplify: iters left: 4 (38 enodes) 1548151364.602 * * [misc]simplify: iters left: 3 (65 enodes) 1548151364.621 * * [misc]simplify: iters left: 2 (126 enodes) 1548151364.689 * * [misc]simplify: iters left: 1 (318 enodes) 1548151364.882 * [exit]simplify: Simplified to (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) 1548151364.882 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151364.882 * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # 1548151364.883 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (* (log n) (- 1/2 (/ k 2))))) 1548151364.883 * * [misc]simplify: iters left: 6 (13 enodes) 1548151364.887 * * [misc]simplify: iters left: 5 (24 enodes) 1548151364.895 * * [misc]simplify: iters left: 4 (52 enodes) 1548151364.912 * * [misc]simplify: iters left: 3 (141 enodes) 1548151364.949 * * [misc]simplify: iters left: 2 (271 enodes) 1548151365.038 * * [misc]simplify: iters left: 1 (464 enodes) 1548151365.245 * [exit]simplify: Simplified to (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) 1548151365.245 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151365.245 * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # 1548151365.245 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (pow n (- 1/2 (/ k 2)))))) 1548151365.246 * * [misc]simplify: iters left: 6 (13 enodes) 1548151365.250 * * [misc]simplify: iters left: 5 (21 enodes) 1548151365.256 * * [misc]simplify: iters left: 4 (31 enodes) 1548151365.266 * * [misc]simplify: iters left: 3 (63 enodes) 1548151365.287 * * [misc]simplify: iters left: 2 (163 enodes) 1548151365.324 * * [misc]simplify: iters left: 1 (393 enodes) 1548151365.465 * [exit]simplify: Simplified to (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) 1548151365.465 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151365.465 * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # 1548151365.465 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151365.466 * * [misc]simplify: iters left: 6 (14 enodes) 1548151365.468 * * [misc]simplify: iters left: 5 (26 enodes) 1548151365.472 * * [misc]simplify: iters left: 4 (33 enodes) 1548151365.476 * * [misc]simplify: iters left: 3 (48 enodes) 1548151365.491 * * [misc]simplify: iters left: 2 (105 enodes) 1548151365.523 * * [misc]simplify: iters left: 1 (273 enodes) 1548151365.624 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log n))) 1548151365.624 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log n)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151365.624 * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # 1548151365.624 * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # 1548151365.624 * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # 1548151365.624 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151365.625 * * [misc]simplify: iters left: 6 (16 enodes) 1548151365.630 * * [misc]simplify: iters left: 5 (35 enodes) 1548151365.643 * * [misc]simplify: iters left: 4 (86 enodes) 1548151365.691 * * [misc]simplify: iters left: 3 (304 enodes) 1548151365.967 * [exit]simplify: Simplified to (pow (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3) 1548151365.967 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3)) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151365.967 * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # 1548151365.967 * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # 1548151365.968 * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # 1548151365.968 * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # 1548151365.968 * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # 1548151365.968 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548151365.968 * * [misc]simplify: iters left: 6 (14 enodes) 1548151365.973 * * [misc]simplify: iters left: 5 (21 enodes) 1548151365.978 * * [misc]simplify: iters left: 4 (24 enodes) 1548151365.984 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151365.984 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151365.985 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151365.985 * * [misc]simplify: iters left: 6 (14 enodes) 1548151365.989 * * [misc]simplify: iters left: 5 (19 enodes) 1548151365.991 * * [misc]simplify: iters left: 4 (20 enodes) 1548151365.994 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151365.994 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151365.994 * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # 1548151365.994 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151365.994 * * [misc]simplify: iters left: 6 (13 enodes) 1548151365.998 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.001 * * [misc]simplify: iters left: 4 (21 enodes) 1548151366.003 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.003 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.004 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.004 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.006 * * [misc]simplify: iters left: 5 (19 enodes) 1548151366.008 * * [misc]simplify: iters left: 4 (20 enodes) 1548151366.011 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.011 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.011 * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # 1548151366.011 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548151366.011 * * [misc]simplify: iters left: 3 (5 enodes) 1548151366.012 * * [misc]simplify: iters left: 2 (8 enodes) 1548151366.014 * * [misc]simplify: iters left: 1 (10 enodes) 1548151366.015 * [exit]simplify: Simplified to (sqrt PI) 1548151366.015 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.015 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.015 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.017 * * [misc]simplify: iters left: 5 (20 enodes) 1548151366.020 * * [misc]simplify: iters left: 4 (24 enodes) 1548151366.023 * * [misc]simplify: iters left: 3 (34 enodes) 1548151366.028 * * [misc]simplify: iters left: 2 (36 enodes) 1548151366.031 * * [misc]simplify: iters left: 1 (41 enodes) 1548151366.036 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548151366.036 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.036 * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # 1548151366.036 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548151366.036 * * [misc]simplify: iters left: 3 (5 enodes) 1548151366.037 * * [misc]simplify: iters left: 2 (8 enodes) 1548151366.038 * * [misc]simplify: iters left: 1 (10 enodes) 1548151366.039 * [exit]simplify: Simplified to (sqrt PI) 1548151366.039 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.039 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.039 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.041 * * [misc]simplify: iters left: 5 (20 enodes) 1548151366.044 * * [misc]simplify: iters left: 4 (24 enodes) 1548151366.047 * * [misc]simplify: iters left: 3 (34 enodes) 1548151366.051 * * [misc]simplify: iters left: 2 (36 enodes) 1548151366.054 * * [misc]simplify: iters left: 1 (41 enodes) 1548151366.059 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548151366.059 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.059 * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # 1548151366.059 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1548151366.059 * * [misc]simplify: iters left: 5 (8 enodes) 1548151366.061 * * [misc]simplify: iters left: 4 (14 enodes) 1548151366.062 * * [misc]simplify: iters left: 3 (16 enodes) 1548151366.065 * * [misc]simplify: iters left: 2 (25 enodes) 1548151366.068 * * [misc]simplify: iters left: 1 (28 enodes) 1548151366.070 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1548151366.071 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (/ k 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.071 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1548151366.071 * * [misc]simplify: iters left: 6 (9 enodes) 1548151366.073 * * [misc]simplify: iters left: 5 (11 enodes) 1548151366.074 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1548151366.074 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (/ (- k) 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.075 * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # 1548151366.075 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548151366.075 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.077 * * [misc]simplify: iters left: 5 (21 enodes) 1548151366.080 * * [misc]simplify: iters left: 4 (24 enodes) 1548151366.086 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.086 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.086 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.086 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.090 * * [misc]simplify: iters left: 5 (19 enodes) 1548151366.095 * * [misc]simplify: iters left: 4 (20 enodes) 1548151366.100 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.100 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.100 * * * * [misc]progress: [ 94 / 139 ] simplifiying candidate # 1548151366.100 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.101 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.104 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.109 * * [misc]simplify: iters left: 4 (21 enodes) 1548151366.115 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.115 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.115 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.115 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.118 * * [misc]simplify: iters left: 5 (19 enodes) 1548151366.120 * * [misc]simplify: iters left: 4 (20 enodes) 1548151366.122 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.122 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.123 * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # 1548151366.123 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548151366.123 * * [misc]simplify: iters left: 3 (5 enodes) 1548151366.123 * * [misc]simplify: iters left: 2 (8 enodes) 1548151366.125 * * [misc]simplify: iters left: 1 (10 enodes) 1548151366.126 * [exit]simplify: Simplified to (sqrt PI) 1548151366.126 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.126 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.126 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.128 * * [misc]simplify: iters left: 5 (20 enodes) 1548151366.131 * * [misc]simplify: iters left: 4 (24 enodes) 1548151366.134 * * [misc]simplify: iters left: 3 (34 enodes) 1548151366.139 * * [misc]simplify: iters left: 2 (36 enodes) 1548151366.143 * * [misc]simplify: iters left: 1 (41 enodes) 1548151366.147 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548151366.147 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.147 * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # 1548151366.147 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548151366.148 * * [misc]simplify: iters left: 3 (5 enodes) 1548151366.148 * * [misc]simplify: iters left: 2 (8 enodes) 1548151366.150 * * [misc]simplify: iters left: 1 (10 enodes) 1548151366.151 * [exit]simplify: Simplified to (sqrt PI) 1548151366.151 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.151 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.151 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.153 * * [misc]simplify: iters left: 5 (20 enodes) 1548151366.156 * * [misc]simplify: iters left: 4 (24 enodes) 1548151366.162 * * [misc]simplify: iters left: 3 (34 enodes) 1548151366.170 * * [misc]simplify: iters left: 2 (36 enodes) 1548151366.178 * * [misc]simplify: iters left: 1 (41 enodes) 1548151366.186 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548151366.186 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.186 * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # 1548151366.187 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1548151366.187 * * [misc]simplify: iters left: 5 (8 enodes) 1548151366.189 * * [misc]simplify: iters left: 4 (14 enodes) 1548151366.192 * * [misc]simplify: iters left: 3 (16 enodes) 1548151366.198 * * [misc]simplify: iters left: 2 (25 enodes) 1548151366.203 * * [misc]simplify: iters left: 1 (28 enodes) 1548151366.210 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1548151366.210 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (/ k 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.210 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1548151366.211 * * [misc]simplify: iters left: 6 (9 enodes) 1548151366.213 * * [misc]simplify: iters left: 5 (11 enodes) 1548151366.216 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1548151366.216 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (/ (- k) 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.217 * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # 1548151366.217 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548151366.217 * * [misc]simplify: iters left: 6 (16 enodes) 1548151366.222 * * [misc]simplify: iters left: 5 (26 enodes) 1548151366.230 * * [misc]simplify: iters left: 4 (38 enodes) 1548151366.240 * * [misc]simplify: iters left: 3 (41 enodes) 1548151366.250 * * [misc]simplify: iters left: 2 (44 enodes) 1548151366.261 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548151366.261 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.261 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.261 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.265 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.270 * * [misc]simplify: iters left: 4 (21 enodes) 1548151366.275 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.275 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.276 * * * * [misc]progress: [ 99 / 139 ] simplifiying candidate # 1548151366.276 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.276 * * [misc]simplify: iters left: 6 (15 enodes) 1548151366.280 * * [misc]simplify: iters left: 5 (21 enodes) 1548151366.283 * * [misc]simplify: iters left: 4 (26 enodes) 1548151366.287 * * [misc]simplify: iters left: 3 (27 enodes) 1548151366.291 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.291 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.291 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.291 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.293 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.295 * * [misc]simplify: iters left: 4 (21 enodes) 1548151366.298 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.298 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.298 * * * * [misc]progress: [ 100 / 139 ] simplifiying candidate # 1548151366.298 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1548151366.298 * * [misc]simplify: iters left: 6 (11 enodes) 1548151366.301 * * [misc]simplify: iters left: 5 (17 enodes) 1548151366.303 * * [misc]simplify: iters left: 4 (26 enodes) 1548151366.306 * * [misc]simplify: iters left: 3 (28 enodes) 1548151366.309 * * [misc]simplify: iters left: 2 (33 enodes) 1548151366.313 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151366.313 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.313 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.314 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.315 * * [misc]simplify: iters left: 5 (19 enodes) 1548151366.318 * * [misc]simplify: iters left: 4 (25 enodes) 1548151366.322 * * [misc]simplify: iters left: 3 (35 enodes) 1548151366.326 * * [misc]simplify: iters left: 2 (37 enodes) 1548151366.330 * * [misc]simplify: iters left: 1 (42 enodes) 1548151366.335 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151366.335 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.335 * * * * [misc]progress: [ 101 / 139 ] simplifiying candidate # 1548151366.335 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1548151366.335 * * [misc]simplify: iters left: 6 (11 enodes) 1548151366.337 * * [misc]simplify: iters left: 5 (17 enodes) 1548151366.339 * * [misc]simplify: iters left: 4 (26 enodes) 1548151366.343 * * [misc]simplify: iters left: 3 (28 enodes) 1548151366.345 * * [misc]simplify: iters left: 2 (33 enodes) 1548151366.349 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151366.349 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.350 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.350 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.351 * * [misc]simplify: iters left: 5 (19 enodes) 1548151366.354 * * [misc]simplify: iters left: 4 (25 enodes) 1548151366.358 * * [misc]simplify: iters left: 3 (35 enodes) 1548151366.362 * * [misc]simplify: iters left: 2 (37 enodes) 1548151366.366 * * [misc]simplify: iters left: 1 (42 enodes) 1548151366.375 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151366.375 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.375 * * * * [misc]progress: [ 102 / 139 ] simplifiying candidate # 1548151366.376 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n 1/2))) 1548151366.376 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.380 * * [misc]simplify: iters left: 5 (23 enodes) 1548151366.388 * * [misc]simplify: iters left: 4 (33 enodes) 1548151366.397 * * [misc]simplify: iters left: 3 (48 enodes) 1548151366.412 * * [misc]simplify: iters left: 2 (96 enodes) 1548151366.440 * * [misc]simplify: iters left: 1 (237 enodes) 1548151366.515 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548151366.515 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.515 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1548151366.515 * * [misc]simplify: iters left: 6 (11 enodes) 1548151366.517 * * [misc]simplify: iters left: 5 (13 enodes) 1548151366.519 * * [misc]simplify: iters left: 4 (16 enodes) 1548151366.521 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1548151366.521 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.521 * * * * [misc]progress: [ 103 / 139 ] simplifiying candidate # 1548151366.521 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548151366.521 * * [misc]simplify: iters left: 6 (15 enodes) 1548151366.523 * * [misc]simplify: iters left: 5 (21 enodes) 1548151366.526 * * [misc]simplify: iters left: 4 (24 enodes) 1548151366.529 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548151366.529 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.530 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.530 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.532 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.534 * * [misc]simplify: iters left: 4 (21 enodes) 1548151366.537 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.538 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.538 * * * * [misc]progress: [ 104 / 139 ] simplifiying candidate # 1548151366.538 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.538 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.541 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.544 * * [misc]simplify: iters left: 4 (21 enodes) 1548151366.547 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.547 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.547 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.548 * * [misc]simplify: iters left: 6 (14 enodes) 1548151366.549 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.552 * * [misc]simplify: iters left: 4 (21 enodes) 1548151366.554 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.555 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.555 * * * * [misc]progress: [ 105 / 139 ] simplifiying candidate # 1548151366.555 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1548151366.555 * * [misc]simplify: iters left: 6 (10 enodes) 1548151366.556 * * [misc]simplify: iters left: 5 (14 enodes) 1548151366.559 * * [misc]simplify: iters left: 4 (19 enodes) 1548151366.561 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151366.561 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.561 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.561 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.563 * * [misc]simplify: iters left: 5 (19 enodes) 1548151366.567 * * [misc]simplify: iters left: 4 (25 enodes) 1548151366.574 * * [misc]simplify: iters left: 3 (35 enodes) 1548151366.583 * * [misc]simplify: iters left: 2 (37 enodes) 1548151366.590 * * [misc]simplify: iters left: 1 (42 enodes) 1548151366.600 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548151366.600 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.600 * * * * [misc]progress: [ 106 / 139 ] simplifiying candidate # 1548151366.600 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1548151366.600 * * [misc]simplify: iters left: 6 (10 enodes) 1548151366.603 * * [misc]simplify: iters left: 5 (14 enodes) 1548151366.607 * * [misc]simplify: iters left: 4 (19 enodes) 1548151366.612 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151366.612 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.612 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.612 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.616 * * [misc]simplify: iters left: 5 (19 enodes) 1548151366.621 * * [misc]simplify: iters left: 4 (25 enodes) 1548151366.628 * * [misc]simplify: iters left: 3 (35 enodes) 1548151366.636 * * [misc]simplify: iters left: 2 (37 enodes) 1548151366.642 * * [misc]simplify: iters left: 1 (42 enodes) 1548151366.651 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548151366.651 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.651 * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # 1548151366.652 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n 1/2))) 1548151366.652 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.656 * * [misc]simplify: iters left: 5 (20 enodes) 1548151366.661 * * [misc]simplify: iters left: 4 (26 enodes) 1548151366.669 * * [misc]simplify: iters left: 3 (36 enodes) 1548151366.678 * * [misc]simplify: iters left: 2 (38 enodes) 1548151366.685 * * [misc]simplify: iters left: 1 (43 enodes) 1548151366.694 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) 1548151366.694 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.694 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1548151366.694 * * [misc]simplify: iters left: 6 (11 enodes) 1548151366.698 * * [misc]simplify: iters left: 5 (13 enodes) 1548151366.701 * * [misc]simplify: iters left: 4 (16 enodes) 1548151366.706 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1548151366.706 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.706 * * * * [misc]progress: [ 108 / 139 ] simplifiying candidate # 1548151366.706 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548151366.706 * * [misc]simplify: iters left: 6 (12 enodes) 1548151366.710 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.714 * * [misc]simplify: iters left: 4 (21 enodes) 1548151366.720 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.720 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ 1 (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.720 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.721 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.724 * * [misc]simplify: iters left: 5 (17 enodes) 1548151366.729 * * [misc]simplify: iters left: 4 (20 enodes) 1548151366.735 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.735 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.735 * * * * [misc]progress: [ 109 / 139 ] simplifiying candidate # 1548151366.735 * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.735 * * [misc]simplify: iters left: 6 (11 enodes) 1548151366.738 * * [misc]simplify: iters left: 5 (15 enodes) 1548151366.743 * * [misc]simplify: iters left: 4 (18 enodes) 1548151366.748 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.748 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.748 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.748 * * [misc]simplify: iters left: 6 (13 enodes) 1548151366.752 * * [misc]simplify: iters left: 5 (17 enodes) 1548151366.756 * * [misc]simplify: iters left: 4 (20 enodes) 1548151366.762 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548151366.762 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.762 * * * * [misc]progress: [ 110 / 139 ] simplifiying candidate # 1548151366.762 * [enter]simplify: Simplifying (/ 1 1) 1548151366.762 * * [misc]simplify: iters left: 2 (2 enodes) 1548151366.763 * * [misc]simplify: iters left: 1 (4 enodes) 1548151366.763 * [exit]simplify: Simplified to 1 1548151366.763 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.764 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.764 * * [misc]simplify: iters left: 6 (12 enodes) 1548151366.767 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.772 * * [misc]simplify: iters left: 4 (24 enodes) 1548151366.779 * * [misc]simplify: iters left: 3 (34 enodes) 1548151366.787 * * [misc]simplify: iters left: 2 (36 enodes) 1548151366.794 * * [misc]simplify: iters left: 1 (41 enodes) 1548151366.802 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 1548151366.802 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.802 * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # 1548151366.803 * [enter]simplify: Simplifying (/ 1 1) 1548151366.803 * * [misc]simplify: iters left: 2 (2 enodes) 1548151366.803 * * [misc]simplify: iters left: 1 (4 enodes) 1548151366.804 * [exit]simplify: Simplified to 1 1548151366.804 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.804 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.805 * * [misc]simplify: iters left: 6 (12 enodes) 1548151366.808 * * [misc]simplify: iters left: 5 (18 enodes) 1548151366.812 * * [misc]simplify: iters left: 4 (24 enodes) 1548151366.815 * * [misc]simplify: iters left: 3 (34 enodes) 1548151366.819 * * [misc]simplify: iters left: 2 (36 enodes) 1548151366.823 * * [misc]simplify: iters left: 1 (41 enodes) 1548151366.827 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 1548151366.827 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.827 * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # 1548151366.828 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n 1/2))) 1548151366.828 * * [misc]simplify: iters left: 5 (6 enodes) 1548151366.829 * * [misc]simplify: iters left: 4 (11 enodes) 1548151366.831 * * [misc]simplify: iters left: 3 (12 enodes) 1548151366.833 * * [misc]simplify: iters left: 2 (16 enodes) 1548151366.834 * [exit]simplify: Simplified to (sqrt n) 1548151366.834 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt n) (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.834 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1548151366.835 * * [misc]simplify: iters left: 6 (10 enodes) 1548151366.836 * * [misc]simplify: iters left: 5 (12 enodes) 1548151366.838 * * [misc]simplify: iters left: 4 (15 enodes) 1548151366.840 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1548151366.840 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt n) (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.840 * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # 1548151366.840 * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # 1548151366.840 * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # 1548151366.840 * * * * [misc]progress: [ 116 / 139 ] simplifiying candidate # 1548151366.840 * [enter]simplify: Simplifying (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.840 * * [misc]simplify: iters left: 6 (10 enodes) 1548151366.841 * * [misc]simplify: iters left: 5 (14 enodes) 1548151366.843 * * [misc]simplify: iters left: 4 (17 enodes) 1548151366.845 * [exit]simplify: Simplified to (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.845 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.845 * * * * [misc]progress: [ 117 / 139 ] simplifiying candidate # 1548151366.846 * [enter]simplify: Simplifying (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.846 * * [misc]simplify: iters left: 6 (10 enodes) 1548151366.847 * * [misc]simplify: iters left: 5 (14 enodes) 1548151366.849 * * [misc]simplify: iters left: 4 (17 enodes) 1548151366.851 * [exit]simplify: Simplified to (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))) 1548151366.851 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.851 * * * * [misc]progress: [ 118 / 139 ] simplifiying candidate # 1548151366.851 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1548151366.851 * * [misc]simplify: iters left: 6 (9 enodes) 1548151366.853 * * [misc]simplify: iters left: 5 (13 enodes) 1548151366.854 * * [misc]simplify: iters left: 4 (16 enodes) 1548151366.856 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1548151366.856 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.856 * * * * [misc]progress: [ 119 / 139 ] simplifiying candidate # 1548151366.857 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1548151366.857 * * [misc]simplify: iters left: 6 (9 enodes) 1548151366.858 * * [misc]simplify: iters left: 5 (13 enodes) 1548151366.860 * * [misc]simplify: iters left: 4 (16 enodes) 1548151366.863 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1548151366.863 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.863 * * * * [misc]progress: [ 120 / 139 ] simplifiying candidate # 1548151366.864 * [enter]simplify: Simplifying (pow n (/ k 2)) 1548151366.864 * * [misc]simplify: iters left: 3 (5 enodes) 1548151366.865 * [exit]simplify: Simplified to (pow n (/ k 2)) 1548151366.865 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n 1/2))) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.865 * * * * [misc]progress: [ 121 / 139 ] simplifiying candidate # 1548151366.865 * [enter]simplify: Simplifying (pow PI 1/2) 1548151366.865 * * [misc]simplify: iters left: 1 (3 enodes) 1548151366.866 * [exit]simplify: Simplified to (sqrt PI) 1548151366.866 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt PI) (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.866 * * * * [misc]progress: [ 122 / 139 ] simplifiying candidate # 1548151366.867 * [enter]simplify: Simplifying (pow PI 1/2) 1548151366.867 * * [misc]simplify: iters left: 1 (3 enodes) 1548151366.868 * [exit]simplify: Simplified to (sqrt PI) 1548151366.868 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt PI) (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.868 * * * * [misc]progress: [ 123 / 139 ] simplifiying candidate # 1548151366.868 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151366.868 * * [misc]simplify: iters left: 6 (9 enodes) 1548151366.871 * * [misc]simplify: iters left: 5 (11 enodes) 1548151366.874 * * [misc]simplify: iters left: 4 (14 enodes) 1548151366.877 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548151366.877 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.878 * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # 1548151366.878 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151366.878 * * [misc]simplify: iters left: 6 (8 enodes) 1548151366.880 * * [misc]simplify: iters left: 5 (10 enodes) 1548151366.883 * * [misc]simplify: iters left: 4 (13 enodes) 1548151366.885 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548151366.885 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.885 * * * * [misc]progress: [ 125 / 139 ] simplifiying candidate # 1548151366.885 * * * * [misc]progress: [ 126 / 139 ] simplifiying candidate # 1548151366.886 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1548151366.886 * * [misc]simplify: iters left: 5 (7 enodes) 1548151366.887 * * [misc]simplify: iters left: 4 (9 enodes) 1548151366.888 * * [misc]simplify: iters left: 3 (12 enodes) 1548151366.890 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548151366.890 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) 1) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.890 * * * * [misc]progress: [ 127 / 139 ] simplifiying candidate # 1548151366.890 * [enter]simplify: Simplifying (pow PI 1/2) 1548151366.890 * * [misc]simplify: iters left: 1 (3 enodes) 1548151366.891 * [exit]simplify: Simplified to (sqrt PI) 1548151366.891 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt PI) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151366.891 * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # 1548151366.891 * [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)))) 1548151366.891 * * [misc]simplify: iters left: 6 (18 enodes) 1548151366.894 * * [misc]simplify: iters left: 5 (39 enodes) 1548151366.902 * * [misc]simplify: iters left: 4 (119 enodes) 1548151366.940 * * [misc]simplify: iters left: 3 (334 enodes) 1548151367.065 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1548151367.065 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151367.065 * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # 1548151367.065 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1548151367.065 * * [misc]simplify: iters left: 6 (12 enodes) 1548151367.068 * * [misc]simplify: iters left: 5 (28 enodes) 1548151367.074 * * [misc]simplify: iters left: 4 (67 enodes) 1548151367.093 * * [misc]simplify: iters left: 3 (180 enodes) 1548151367.233 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1548151367.233 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (fma -1/2 k 1/2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151367.233 * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # 1548151367.233 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1548151367.233 * * [misc]simplify: iters left: 6 (12 enodes) 1548151367.238 * * [misc]simplify: iters left: 5 (22 enodes) 1548151367.245 * * [misc]simplify: iters left: 4 (52 enodes) 1548151367.260 * * [misc]simplify: iters left: 3 (149 enodes) 1548151367.317 * * [misc]simplify: iters left: 2 (453 enodes) 1548151367.911 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1548151367.911 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (fma k -1/2 1/2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151367.911 * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # 1548151367.912 * [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)))) 1548151367.912 * * [misc]simplify: iters left: 6 (18 enodes) 1548151367.917 * * [misc]simplify: iters left: 5 (39 enodes) 1548151367.931 * * [misc]simplify: iters left: 4 (110 enodes) 1548151367.969 * * [misc]simplify: iters left: 3 (321 enodes) 1548151368.129 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1548151368.129 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151368.129 * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # 1548151368.129 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1548151368.129 * * [misc]simplify: iters left: 5 (6 enodes) 1548151368.130 * * [misc]simplify: iters left: 4 (9 enodes) 1548151368.132 * * [misc]simplify: iters left: 3 (17 enodes) 1548151368.134 * * [misc]simplify: iters left: 2 (24 enodes) 1548151368.136 * * [misc]simplify: iters left: 1 (28 enodes) 1548151368.142 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1548151368.142 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow PI (fma k -1/2 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151368.143 * * * * [misc]progress: [ 133 / 139 ] simplifiying candidate # 1548151368.143 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1548151368.143 * * [misc]simplify: iters left: 5 (6 enodes) 1548151368.144 * * [misc]simplify: iters left: 4 (9 enodes) 1548151368.145 * * [misc]simplify: iters left: 3 (17 enodes) 1548151368.147 * * [misc]simplify: iters left: 2 (24 enodes) 1548151368.152 * * [misc]simplify: iters left: 1 (28 enodes) 1548151368.163 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1548151368.163 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow PI (fma k -1/2 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151368.164 * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # 1548151368.164 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3))))) (- (+ (* +nan.0 (* (sqrt 1/2) (pow k 3))) (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))))))) 1548151368.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) +nan.0)) 1548151368.164 * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # 1548151368.164 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1548151368.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) +nan.0)) 1548151368.164 * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # 1548151368.165 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1548151368.165 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) +nan.0)) 1548151368.165 * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # 1548151368.165 * [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))))))))) 1548151368.165 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151368.165 * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # 1548151368.165 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1548151368.166 * * [misc]simplify: iters left: 6 (15 enodes) 1548151368.172 * * [misc]simplify: iters left: 5 (32 enodes) 1548151368.182 * * [misc]simplify: iters left: 4 (71 enodes) 1548151368.199 * * [misc]simplify: iters left: 3 (188 enodes) 1548151368.291 * * [misc]simplify: iters left: 2 (457 enodes) 1548151368.683 * [exit]simplify: Simplified to (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1548151368.684 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151368.684 * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # 1548151368.684 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1548151368.684 * * [misc]simplify: iters left: 6 (15 enodes) 1548151368.689 * * [misc]simplify: iters left: 5 (26 enodes) 1548151368.698 * * [misc]simplify: iters left: 4 (56 enodes) 1548151368.722 * * [misc]simplify: iters left: 3 (153 enodes) 1548151368.811 * * [misc]simplify: iters left: 2 (465 enodes) 1548151369.484 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) 1548151369.485 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548151369.485 * * * [misc]progress: adding candidates to table 1548151371.182 * [misc]progress: [Phase 3 of 3] Extracting. 1548151371.182 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1548151371.184 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1548151371.184 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1548151371.243 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1548151371.323 * * * [misc]regime: Found split indices: #