1550698311.971 * [misc]progress: [Phase 1 of 3] Setting up. 1550698311.971 * * * [misc]progress: [1/2] Preparing points 1550698312.286 * * * [misc]progress: [2/2] Setting up program. 1550698312.294 * [misc]progress: [Phase 2 of 3] Improving. 1550698312.294 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1550698312.294 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1550698312.295 * * [misc]simplify: iters left: 6 (13 enodes) 1550698312.302 * * [misc]simplify: iters left: 5 (54 enodes) 1550698312.345 * * [misc]simplify: iters left: 4 (75 enodes) 1550698312.371 * * [misc]simplify: iters left: 3 (94 enodes) 1550698312.397 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698312.397 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698312.397 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698312.397 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1550698312.397 * * [misc]simplify: Extracting #4: cost 18 inf + 378 1550698312.398 * * [misc]simplify: Extracting #5: cost 6 inf + 1792 1550698312.399 * * [misc]simplify: Extracting #6: cost 1 inf + 3201 1550698312.400 * * [misc]simplify: Extracting #7: cost 0 inf + 3656 1550698312.402 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1550698312.402 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) 1550698312.414 * * [misc]progress: iteration 1 / 4 1550698312.414 * * * [misc]progress: picking best candidate 1550698312.432 * * * * [misc]pick: Picked # 1550698312.432 * * * [misc]progress: localizing error 1550698312.524 * * * [misc]progress: generating rewritten candidates 1550698312.524 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1550698312.545 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1550698312.555 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1550698312.632 * * * [misc]progress: generating series expansions 1550698312.633 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1550698312.633 * [misc]backup-simplify: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1550698312.633 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1550698312.633 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1550698312.633 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1550698312.633 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1550698312.633 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550698312.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.633 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550698312.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.633 * [misc]taylor: Taking taylor expansion of k in k 1550698312.633 * [misc]backup-simplify: Simplify 0 into 0 1550698312.633 * [misc]backup-simplify: Simplify 1 into 1 1550698312.633 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1550698312.633 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1550698312.633 * [misc]taylor: Taking taylor expansion of 2 in k 1550698312.633 * [misc]backup-simplify: Simplify 2 into 2 1550698312.633 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550698312.633 * [misc]taylor: Taking taylor expansion of n in k 1550698312.633 * [misc]backup-simplify: Simplify n into n 1550698312.633 * [misc]taylor: Taking taylor expansion of PI in k 1550698312.633 * [misc]backup-simplify: Simplify PI into PI 1550698312.633 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550698312.634 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1550698312.634 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1550698312.634 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550698312.634 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.634 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698312.635 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1550698312.635 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1550698312.635 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550698312.635 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550698312.635 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550698312.635 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550698312.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.635 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550698312.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.635 * [misc]taylor: Taking taylor expansion of k in n 1550698312.635 * [misc]backup-simplify: Simplify k into k 1550698312.635 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550698312.635 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698312.635 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.635 * [misc]backup-simplify: Simplify 2 into 2 1550698312.635 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698312.635 * [misc]taylor: Taking taylor expansion of n in n 1550698312.635 * [misc]backup-simplify: Simplify 0 into 0 1550698312.635 * [misc]backup-simplify: Simplify 1 into 1 1550698312.635 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.635 * [misc]backup-simplify: Simplify PI into PI 1550698312.636 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698312.636 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698312.637 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698312.637 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698312.638 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698312.638 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550698312.638 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550698312.638 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550698312.639 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.639 * [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)))) 1550698312.640 * [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))))) 1550698312.640 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550698312.640 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550698312.640 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550698312.640 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550698312.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.640 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550698312.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.640 * [misc]taylor: Taking taylor expansion of k in n 1550698312.640 * [misc]backup-simplify: Simplify k into k 1550698312.640 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550698312.640 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698312.640 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.640 * [misc]backup-simplify: Simplify 2 into 2 1550698312.640 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698312.640 * [misc]taylor: Taking taylor expansion of n in n 1550698312.641 * [misc]backup-simplify: Simplify 0 into 0 1550698312.641 * [misc]backup-simplify: Simplify 1 into 1 1550698312.641 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.641 * [misc]backup-simplify: Simplify PI into PI 1550698312.641 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698312.641 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698312.642 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698312.642 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698312.643 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698312.643 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550698312.643 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550698312.643 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550698312.644 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.644 * [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)))) 1550698312.645 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1550698312.645 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1550698312.645 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1550698312.645 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550698312.645 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.645 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550698312.645 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.645 * [misc]taylor: Taking taylor expansion of k in k 1550698312.645 * [misc]backup-simplify: Simplify 0 into 0 1550698312.645 * [misc]backup-simplify: Simplify 1 into 1 1550698312.645 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1550698312.645 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698312.645 * [misc]taylor: Taking taylor expansion of n in k 1550698312.645 * [misc]backup-simplify: Simplify n into n 1550698312.646 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698312.646 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550698312.646 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550698312.646 * [misc]taylor: Taking taylor expansion of 2 in k 1550698312.646 * [misc]backup-simplify: Simplify 2 into 2 1550698312.646 * [misc]taylor: Taking taylor expansion of PI in k 1550698312.646 * [misc]backup-simplify: Simplify PI into PI 1550698312.646 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698312.646 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698312.647 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550698312.647 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.647 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698312.647 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.648 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1550698312.648 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550698312.649 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550698312.650 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698312.651 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550698312.654 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698312.654 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1550698312.654 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.655 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.656 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1550698312.657 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698312.657 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.657 * [misc]backup-simplify: Simplify 0 into 0 1550698312.657 * [misc]backup-simplify: Simplify 0 into 0 1550698312.658 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550698312.659 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698312.661 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698312.662 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.662 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550698312.662 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698312.662 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698312.663 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1550698312.664 * [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))))))) 1550698312.666 * [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))))))) 1550698312.668 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698312.670 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550698312.675 * [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 1550698312.675 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550698312.675 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.675 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.676 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.677 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550698312.680 * [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 1550698312.680 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.680 * [misc]backup-simplify: Simplify 0 into 0 1550698312.680 * [misc]backup-simplify: Simplify 0 into 0 1550698312.680 * [misc]backup-simplify: Simplify 0 into 0 1550698312.682 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550698312.683 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698312.688 * [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 1550698312.688 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.688 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698312.688 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.689 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.689 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550698312.692 * [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))))) 1550698312.694 * [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))))) 1550698312.700 * [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))))) 1550698312.701 * [misc]backup-simplify: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550698312.701 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1550698312.701 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550698312.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1550698312.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1550698312.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550698312.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.701 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698312.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.701 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698312.701 * [misc]taylor: Taking taylor expansion of k in k 1550698312.701 * [misc]backup-simplify: Simplify 0 into 0 1550698312.701 * [misc]backup-simplify: Simplify 1 into 1 1550698312.701 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698312.701 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1550698312.702 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1550698312.702 * [misc]taylor: Taking taylor expansion of 2 in k 1550698312.702 * [misc]backup-simplify: Simplify 2 into 2 1550698312.702 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698312.702 * [misc]taylor: Taking taylor expansion of PI in k 1550698312.702 * [misc]backup-simplify: Simplify PI into PI 1550698312.702 * [misc]taylor: Taking taylor expansion of n in k 1550698312.702 * [misc]backup-simplify: Simplify n into n 1550698312.702 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698312.702 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1550698312.702 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1550698312.702 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698312.702 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698312.703 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698312.703 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1550698312.703 * [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)))) 1550698312.703 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550698312.703 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550698312.703 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550698312.703 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550698312.703 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.703 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550698312.703 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.703 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698312.703 * [misc]taylor: Taking taylor expansion of k in n 1550698312.703 * [misc]backup-simplify: Simplify k into k 1550698312.703 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698312.703 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550698312.703 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698312.703 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.704 * [misc]backup-simplify: Simplify 2 into 2 1550698312.704 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698312.704 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.704 * [misc]backup-simplify: Simplify PI into PI 1550698312.704 * [misc]taylor: Taking taylor expansion of n in n 1550698312.704 * [misc]backup-simplify: Simplify 0 into 0 1550698312.704 * [misc]backup-simplify: Simplify 1 into 1 1550698312.704 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698312.704 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698312.705 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698312.705 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550698312.705 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550698312.705 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550698312.706 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698312.706 * [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))) 1550698312.707 * [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)))) 1550698312.707 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550698312.707 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550698312.707 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550698312.707 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550698312.707 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.707 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550698312.707 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.707 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698312.707 * [misc]taylor: Taking taylor expansion of k in n 1550698312.707 * [misc]backup-simplify: Simplify k into k 1550698312.708 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698312.708 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550698312.708 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698312.708 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.708 * [misc]backup-simplify: Simplify 2 into 2 1550698312.708 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698312.708 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.708 * [misc]backup-simplify: Simplify PI into PI 1550698312.708 * [misc]taylor: Taking taylor expansion of n in n 1550698312.708 * [misc]backup-simplify: Simplify 0 into 0 1550698312.708 * [misc]backup-simplify: Simplify 1 into 1 1550698312.708 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698312.708 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698312.709 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698312.709 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550698312.709 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550698312.709 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550698312.710 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698312.710 * [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))) 1550698312.711 * [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)))) 1550698312.711 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1550698312.711 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1550698312.711 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550698312.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.711 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698312.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.711 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698312.711 * [misc]taylor: Taking taylor expansion of k in k 1550698312.711 * [misc]backup-simplify: Simplify 0 into 0 1550698312.711 * [misc]backup-simplify: Simplify 1 into 1 1550698312.712 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698312.712 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1550698312.712 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550698312.712 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550698312.712 * [misc]taylor: Taking taylor expansion of 2 in k 1550698312.712 * [misc]backup-simplify: Simplify 2 into 2 1550698312.712 * [misc]taylor: Taking taylor expansion of PI in k 1550698312.712 * [misc]backup-simplify: Simplify PI into PI 1550698312.712 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698312.713 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698312.713 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698312.713 * [misc]taylor: Taking taylor expansion of n in k 1550698312.713 * [misc]backup-simplify: Simplify n into n 1550698312.713 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698312.713 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698312.713 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698312.713 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698312.713 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698312.714 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1550698312.714 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1550698312.715 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1550698312.716 * [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)))) 1550698312.717 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698312.717 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698312.720 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698312.720 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698312.720 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550698312.720 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.721 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.721 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698312.722 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1550698312.723 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698312.723 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.723 * [misc]backup-simplify: Simplify 0 into 0 1550698312.723 * [misc]backup-simplify: Simplify 0 into 0 1550698312.723 * [misc]backup-simplify: Simplify 0 into 0 1550698312.725 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.726 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698312.731 * [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 1550698312.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698312.732 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550698312.732 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.732 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.733 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698312.733 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1550698312.736 * [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 1550698312.736 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.736 * [misc]backup-simplify: Simplify 0 into 0 1550698312.736 * [misc]backup-simplify: Simplify 0 into 0 1550698312.736 * [misc]backup-simplify: Simplify 0 into 0 1550698312.736 * [misc]backup-simplify: Simplify 0 into 0 1550698312.738 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.740 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698312.748 * [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 1550698312.748 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698312.749 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550698312.749 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.749 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.750 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698312.751 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1550698312.754 * [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 1550698312.754 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.754 * [misc]backup-simplify: Simplify 0 into 0 1550698312.754 * [misc]backup-simplify: Simplify 0 into 0 1550698312.755 * [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))))) 1550698312.755 * [misc]backup-simplify: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1550698312.755 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1550698312.755 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550698312.755 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1550698312.755 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1550698312.756 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550698312.756 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698312.756 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698312.756 * [misc]taylor: Taking taylor expansion of k in k 1550698312.756 * [misc]backup-simplify: Simplify 0 into 0 1550698312.756 * [misc]backup-simplify: Simplify 1 into 1 1550698312.756 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698312.756 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.756 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1550698312.756 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1550698312.756 * [misc]taylor: Taking taylor expansion of -2 in k 1550698312.756 * [misc]backup-simplify: Simplify -2 into -2 1550698312.756 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698312.756 * [misc]taylor: Taking taylor expansion of PI in k 1550698312.756 * [misc]backup-simplify: Simplify PI into PI 1550698312.756 * [misc]taylor: Taking taylor expansion of n in k 1550698312.756 * [misc]backup-simplify: Simplify n into n 1550698312.756 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698312.756 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1550698312.756 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1550698312.757 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698312.757 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698312.757 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1550698312.757 * [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))) 1550698312.757 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550698312.757 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550698312.757 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550698312.757 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550698312.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550698312.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698312.757 * [misc]taylor: Taking taylor expansion of k in n 1550698312.757 * [misc]backup-simplify: Simplify k into k 1550698312.757 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698312.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.758 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550698312.758 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698312.758 * [misc]taylor: Taking taylor expansion of -2 in n 1550698312.758 * [misc]backup-simplify: Simplify -2 into -2 1550698312.758 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698312.758 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.758 * [misc]backup-simplify: Simplify PI into PI 1550698312.758 * [misc]taylor: Taking taylor expansion of n in n 1550698312.758 * [misc]backup-simplify: Simplify 0 into 0 1550698312.758 * [misc]backup-simplify: Simplify 1 into 1 1550698312.758 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698312.758 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698312.759 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698312.759 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550698312.759 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698312.760 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698312.760 * [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))) 1550698312.761 * [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)))) 1550698312.761 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550698312.761 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550698312.761 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550698312.761 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550698312.761 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550698312.761 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698312.761 * [misc]taylor: Taking taylor expansion of k in n 1550698312.761 * [misc]backup-simplify: Simplify k into k 1550698312.761 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698312.761 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.761 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550698312.761 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698312.761 * [misc]taylor: Taking taylor expansion of -2 in n 1550698312.761 * [misc]backup-simplify: Simplify -2 into -2 1550698312.761 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698312.762 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.762 * [misc]backup-simplify: Simplify PI into PI 1550698312.762 * [misc]taylor: Taking taylor expansion of n in n 1550698312.762 * [misc]backup-simplify: Simplify 0 into 0 1550698312.762 * [misc]backup-simplify: Simplify 1 into 1 1550698312.762 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698312.762 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698312.763 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698312.763 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550698312.763 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698312.763 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698312.764 * [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))) 1550698312.765 * [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)))) 1550698312.765 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1550698312.765 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1550698312.765 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550698312.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698312.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698312.765 * [misc]taylor: Taking taylor expansion of k in k 1550698312.765 * [misc]backup-simplify: Simplify 0 into 0 1550698312.765 * [misc]backup-simplify: Simplify 1 into 1 1550698312.765 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698312.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.765 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1550698312.765 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1550698312.765 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1550698312.765 * [misc]taylor: Taking taylor expansion of -2 in k 1550698312.765 * [misc]backup-simplify: Simplify -2 into -2 1550698312.765 * [misc]taylor: Taking taylor expansion of PI in k 1550698312.765 * [misc]backup-simplify: Simplify PI into PI 1550698312.766 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698312.766 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698312.766 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698312.766 * [misc]taylor: Taking taylor expansion of n in k 1550698312.766 * [misc]backup-simplify: Simplify n into n 1550698312.766 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698312.766 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698312.767 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698312.767 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698312.767 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1550698312.768 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1550698312.768 * [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)))) 1550698312.769 * [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)))) 1550698312.770 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698312.771 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550698312.773 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1550698312.773 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698312.773 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550698312.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.774 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698312.775 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1550698312.776 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698312.776 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.776 * [misc]backup-simplify: Simplify 0 into 0 1550698312.776 * [misc]backup-simplify: Simplify 0 into 0 1550698312.777 * [misc]backup-simplify: Simplify 0 into 0 1550698312.778 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.779 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698312.783 * [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 1550698312.784 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698312.784 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550698312.784 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.785 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698312.786 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1550698312.791 * [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 1550698312.791 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.791 * [misc]backup-simplify: Simplify 0 into 0 1550698312.791 * [misc]backup-simplify: Simplify 0 into 0 1550698312.791 * [misc]backup-simplify: Simplify 0 into 0 1550698312.791 * [misc]backup-simplify: Simplify 0 into 0 1550698312.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.795 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698312.802 * [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 1550698312.802 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698312.803 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550698312.803 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.804 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698312.805 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1550698312.808 * [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 1550698312.808 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.808 * [misc]backup-simplify: Simplify 0 into 0 1550698312.808 * [misc]backup-simplify: Simplify 0 into 0 1550698312.809 * [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))))) 1550698312.809 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1550698312.809 * [misc]backup-simplify: Simplify (* (* n 2) PI) into (* 2 (* n PI)) 1550698312.809 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1550698312.809 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698312.809 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.809 * [misc]backup-simplify: Simplify 2 into 2 1550698312.809 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698312.809 * [misc]taylor: Taking taylor expansion of n in n 1550698312.809 * [misc]backup-simplify: Simplify 0 into 0 1550698312.809 * [misc]backup-simplify: Simplify 1 into 1 1550698312.809 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.809 * [misc]backup-simplify: Simplify PI into PI 1550698312.810 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698312.810 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.810 * [misc]backup-simplify: Simplify 2 into 2 1550698312.810 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698312.810 * [misc]taylor: Taking taylor expansion of n in n 1550698312.810 * [misc]backup-simplify: Simplify 0 into 0 1550698312.810 * [misc]backup-simplify: Simplify 1 into 1 1550698312.810 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.810 * [misc]backup-simplify: Simplify PI into PI 1550698312.810 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698312.810 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698312.810 * [misc]backup-simplify: Simplify 0 into 0 1550698312.811 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698312.812 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698312.812 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698312.813 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698312.814 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550698312.814 * [misc]backup-simplify: Simplify 0 into 0 1550698312.815 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698312.817 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550698312.817 * [misc]backup-simplify: Simplify 0 into 0 1550698312.819 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698312.821 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1550698312.821 * [misc]backup-simplify: Simplify 0 into 0 1550698312.823 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550698312.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1550698312.826 * [misc]backup-simplify: Simplify 0 into 0 1550698312.829 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550698312.832 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1550698312.832 * [misc]backup-simplify: Simplify 0 into 0 1550698312.836 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1550698312.840 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1550698312.840 * [misc]backup-simplify: Simplify 0 into 0 1550698312.840 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1550698312.841 * [misc]backup-simplify: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n)) 1550698312.841 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1550698312.841 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698312.841 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.841 * [misc]backup-simplify: Simplify 2 into 2 1550698312.841 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698312.841 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.841 * [misc]backup-simplify: Simplify PI into PI 1550698312.841 * [misc]taylor: Taking taylor expansion of n in n 1550698312.841 * [misc]backup-simplify: Simplify 0 into 0 1550698312.841 * [misc]backup-simplify: Simplify 1 into 1 1550698312.841 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698312.841 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698312.841 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.841 * [misc]backup-simplify: Simplify 2 into 2 1550698312.841 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698312.841 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.841 * [misc]backup-simplify: Simplify PI into PI 1550698312.841 * [misc]taylor: Taking taylor expansion of n in n 1550698312.841 * [misc]backup-simplify: Simplify 0 into 0 1550698312.841 * [misc]backup-simplify: Simplify 1 into 1 1550698312.842 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698312.842 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698312.842 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698312.843 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698312.844 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698312.844 * [misc]backup-simplify: Simplify 0 into 0 1550698312.846 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.847 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698312.847 * [misc]backup-simplify: Simplify 0 into 0 1550698312.849 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698312.850 * [misc]backup-simplify: Simplify 0 into 0 1550698312.852 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.854 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698312.854 * [misc]backup-simplify: Simplify 0 into 0 1550698312.856 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.859 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550698312.859 * [misc]backup-simplify: Simplify 0 into 0 1550698312.861 * [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 1550698312.864 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550698312.864 * [misc]backup-simplify: Simplify 0 into 0 1550698312.864 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1550698312.865 * [misc]backup-simplify: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n)) 1550698312.865 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1550698312.865 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698312.865 * [misc]taylor: Taking taylor expansion of -2 in n 1550698312.865 * [misc]backup-simplify: Simplify -2 into -2 1550698312.865 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698312.865 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.865 * [misc]backup-simplify: Simplify PI into PI 1550698312.865 * [misc]taylor: Taking taylor expansion of n in n 1550698312.865 * [misc]backup-simplify: Simplify 0 into 0 1550698312.865 * [misc]backup-simplify: Simplify 1 into 1 1550698312.865 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698312.866 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698312.866 * [misc]taylor: Taking taylor expansion of -2 in n 1550698312.866 * [misc]backup-simplify: Simplify -2 into -2 1550698312.866 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698312.866 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.866 * [misc]backup-simplify: Simplify PI into PI 1550698312.866 * [misc]taylor: Taking taylor expansion of n in n 1550698312.866 * [misc]backup-simplify: Simplify 0 into 0 1550698312.866 * [misc]backup-simplify: Simplify 1 into 1 1550698312.866 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698312.866 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698312.867 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698312.868 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698312.868 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550698312.868 * [misc]backup-simplify: Simplify 0 into 0 1550698312.869 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.870 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698312.871 * [misc]backup-simplify: Simplify 0 into 0 1550698312.872 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.874 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698312.874 * [misc]backup-simplify: Simplify 0 into 0 1550698312.875 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.877 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698312.877 * [misc]backup-simplify: Simplify 0 into 0 1550698312.879 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.882 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550698312.882 * [misc]backup-simplify: Simplify 0 into 0 1550698312.884 * [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 1550698312.887 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550698312.888 * [misc]backup-simplify: Simplify 0 into 0 1550698312.888 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1550698312.888 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1550698312.888 * [misc]backup-simplify: Simplify (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1550698312.888 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1550698312.888 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1550698312.889 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698312.889 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698312.889 * [misc]taylor: Taking taylor expansion of k in k 1550698312.889 * [misc]backup-simplify: Simplify 0 into 0 1550698312.889 * [misc]backup-simplify: Simplify 1 into 1 1550698312.889 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698312.889 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698312.890 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698312.890 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1550698312.890 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1550698312.890 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1550698312.890 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550698312.890 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.890 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550698312.890 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.890 * [misc]taylor: Taking taylor expansion of k in k 1550698312.890 * [misc]backup-simplify: Simplify 0 into 0 1550698312.890 * [misc]backup-simplify: Simplify 1 into 1 1550698312.890 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1550698312.890 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1550698312.890 * [misc]taylor: Taking taylor expansion of 2 in k 1550698312.890 * [misc]backup-simplify: Simplify 2 into 2 1550698312.890 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550698312.890 * [misc]taylor: Taking taylor expansion of n in k 1550698312.890 * [misc]backup-simplify: Simplify n into n 1550698312.890 * [misc]taylor: Taking taylor expansion of PI in k 1550698312.890 * [misc]backup-simplify: Simplify PI into PI 1550698312.890 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550698312.890 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1550698312.891 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1550698312.891 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550698312.891 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.891 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698312.891 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1550698312.891 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1550698312.891 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1550698312.891 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550698312.891 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698312.891 * [misc]taylor: Taking taylor expansion of k in n 1550698312.891 * [misc]backup-simplify: Simplify k into k 1550698312.891 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698312.892 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550698312.892 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698312.892 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550698312.892 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550698312.892 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550698312.892 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550698312.892 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550698312.892 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.892 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550698312.892 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.892 * [misc]taylor: Taking taylor expansion of k in n 1550698312.892 * [misc]backup-simplify: Simplify k into k 1550698312.892 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550698312.892 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698312.892 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.892 * [misc]backup-simplify: Simplify 2 into 2 1550698312.892 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698312.892 * [misc]taylor: Taking taylor expansion of n in n 1550698312.892 * [misc]backup-simplify: Simplify 0 into 0 1550698312.892 * [misc]backup-simplify: Simplify 1 into 1 1550698312.892 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.892 * [misc]backup-simplify: Simplify PI into PI 1550698312.893 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698312.893 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698312.893 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698312.894 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698312.894 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698312.895 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550698312.895 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550698312.895 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550698312.895 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.896 * [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)))) 1550698312.896 * [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))))) 1550698312.896 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of k in n 1550698312.897 * [misc]backup-simplify: Simplify k into k 1550698312.897 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698312.897 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550698312.897 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698312.897 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550698312.897 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.897 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698312.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.897 * [misc]taylor: Taking taylor expansion of k in n 1550698312.897 * [misc]backup-simplify: Simplify k into k 1550698312.897 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698312.897 * [misc]taylor: Taking taylor expansion of 2 in n 1550698312.897 * [misc]backup-simplify: Simplify 2 into 2 1550698312.898 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698312.898 * [misc]taylor: Taking taylor expansion of n in n 1550698312.898 * [misc]backup-simplify: Simplify 0 into 0 1550698312.898 * [misc]backup-simplify: Simplify 1 into 1 1550698312.898 * [misc]taylor: Taking taylor expansion of PI in n 1550698312.898 * [misc]backup-simplify: Simplify PI into PI 1550698312.898 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698312.898 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698312.899 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698312.899 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698312.900 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698312.900 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1550698312.900 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1550698312.900 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1550698312.901 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.902 * [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)))) 1550698312.902 * [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))))) 1550698312.903 * [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))) 1550698312.903 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1550698312.903 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1550698312.903 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1550698312.903 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550698312.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.903 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550698312.904 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698312.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698312.904 * [misc]taylor: Taking taylor expansion of k in k 1550698312.904 * [misc]backup-simplify: Simplify 0 into 0 1550698312.904 * [misc]backup-simplify: Simplify 1 into 1 1550698312.904 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1550698312.904 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698312.904 * [misc]taylor: Taking taylor expansion of n in k 1550698312.904 * [misc]backup-simplify: Simplify n into n 1550698312.904 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698312.904 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550698312.904 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550698312.904 * [misc]taylor: Taking taylor expansion of 2 in k 1550698312.904 * [misc]backup-simplify: Simplify 2 into 2 1550698312.904 * [misc]taylor: Taking taylor expansion of PI in k 1550698312.904 * [misc]backup-simplify: Simplify PI into PI 1550698312.904 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698312.905 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698312.905 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550698312.905 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.905 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698312.906 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.906 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1550698312.907 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550698312.907 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698312.907 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698312.907 * [misc]taylor: Taking taylor expansion of k in k 1550698312.907 * [misc]backup-simplify: Simplify 0 into 0 1550698312.907 * [misc]backup-simplify: Simplify 1 into 1 1550698312.907 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698312.907 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698312.908 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698312.908 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1550698312.908 * [misc]backup-simplify: Simplify 0 into 0 1550698312.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698312.911 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550698312.913 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698312.914 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1550698312.914 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.914 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.914 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.915 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1550698312.917 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698312.917 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1550698312.918 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.918 * [misc]backup-simplify: Simplify 0 into 0 1550698312.918 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550698312.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698312.922 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698312.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.922 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550698312.922 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698312.922 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698312.923 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1550698312.924 * [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))))))) 1550698312.927 * [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))))))) 1550698312.927 * [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))))))) 1550698312.929 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698312.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550698312.936 * [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 1550698312.936 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550698312.936 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.937 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.938 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550698312.940 * [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 1550698312.940 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698312.941 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1550698312.942 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1550698312.942 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.942 * [misc]backup-simplify: Simplify 0 into 0 1550698312.942 * [misc]backup-simplify: Simplify 0 into 0 1550698312.942 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550698312.943 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698312.947 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550698312.948 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698312.952 * [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 1550698312.952 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.953 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698312.953 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.954 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550698312.956 * [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))))) 1550698312.961 * [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)))))))) 1550698312.964 * [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)))))))) 1550698312.966 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698312.968 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1550698312.975 * [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 1550698312.976 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1550698312.976 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.976 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.976 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698312.977 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1550698312.979 * [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 1550698312.979 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698312.979 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1550698312.980 * [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 1550698312.980 * [misc]taylor: Taking taylor expansion of 0 in k 1550698312.980 * [misc]backup-simplify: Simplify 0 into 0 1550698312.984 * [misc]backup-simplify: Simplify 0 into 0 1550698312.984 * [misc]backup-simplify: Simplify 0 into 0 1550698312.985 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698312.986 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698312.989 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1550698312.990 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698312.998 * [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 1550698312.998 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698312.998 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698312.999 * [misc]backup-simplify: Simplify (- 0) into 0 1550698312.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698313.000 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1550698313.004 * [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))))))) 1550698313.012 * [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)))))))))))))) 1550698313.018 * [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)))))))))))))) 1550698313.032 * [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)))))))))))))))))))))) 1550698313.033 * [misc]backup-simplify: Simplify (/ (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698313.033 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1550698313.033 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550698313.033 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698313.033 * [misc]taylor: Taking taylor expansion of k in k 1550698313.033 * [misc]backup-simplify: Simplify 0 into 0 1550698313.033 * [misc]backup-simplify: Simplify 1 into 1 1550698313.033 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698313.034 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698313.034 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550698313.034 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1550698313.034 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1550698313.034 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550698313.034 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698313.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.034 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698313.034 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698313.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.034 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698313.034 * [misc]taylor: Taking taylor expansion of k in k 1550698313.034 * [misc]backup-simplify: Simplify 0 into 0 1550698313.034 * [misc]backup-simplify: Simplify 1 into 1 1550698313.035 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698313.035 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1550698313.035 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1550698313.035 * [misc]taylor: Taking taylor expansion of 2 in k 1550698313.035 * [misc]backup-simplify: Simplify 2 into 2 1550698313.035 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698313.035 * [misc]taylor: Taking taylor expansion of PI in k 1550698313.035 * [misc]backup-simplify: Simplify PI into PI 1550698313.035 * [misc]taylor: Taking taylor expansion of n in k 1550698313.035 * [misc]backup-simplify: Simplify n into n 1550698313.035 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698313.035 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1550698313.035 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1550698313.035 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698313.036 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698313.036 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698313.036 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1550698313.036 * [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)))) 1550698313.036 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550698313.036 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550698313.036 * [misc]taylor: Taking taylor expansion of k in n 1550698313.036 * [misc]backup-simplify: Simplify k into k 1550698313.036 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550698313.036 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550698313.036 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550698313.036 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550698313.036 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550698313.036 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550698313.036 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698313.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.037 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550698313.037 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698313.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.037 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698313.037 * [misc]taylor: Taking taylor expansion of k in n 1550698313.037 * [misc]backup-simplify: Simplify k into k 1550698313.037 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698313.037 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550698313.037 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698313.037 * [misc]taylor: Taking taylor expansion of 2 in n 1550698313.037 * [misc]backup-simplify: Simplify 2 into 2 1550698313.037 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698313.037 * [misc]taylor: Taking taylor expansion of PI in n 1550698313.037 * [misc]backup-simplify: Simplify PI into PI 1550698313.037 * [misc]taylor: Taking taylor expansion of n in n 1550698313.037 * [misc]backup-simplify: Simplify 0 into 0 1550698313.037 * [misc]backup-simplify: Simplify 1 into 1 1550698313.037 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698313.038 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698313.038 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698313.038 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550698313.038 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550698313.038 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550698313.039 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698313.040 * [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))) 1550698313.040 * [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)))) 1550698313.040 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1550698313.040 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550698313.040 * [misc]taylor: Taking taylor expansion of k in n 1550698313.041 * [misc]backup-simplify: Simplify k into k 1550698313.041 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550698313.041 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550698313.041 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1550698313.041 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1550698313.041 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1550698313.041 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1550698313.041 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698313.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.041 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550698313.041 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698313.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.041 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698313.041 * [misc]taylor: Taking taylor expansion of k in n 1550698313.041 * [misc]backup-simplify: Simplify k into k 1550698313.041 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698313.041 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550698313.041 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698313.041 * [misc]taylor: Taking taylor expansion of 2 in n 1550698313.041 * [misc]backup-simplify: Simplify 2 into 2 1550698313.041 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698313.041 * [misc]taylor: Taking taylor expansion of PI in n 1550698313.041 * [misc]backup-simplify: Simplify PI into PI 1550698313.041 * [misc]taylor: Taking taylor expansion of n in n 1550698313.041 * [misc]backup-simplify: Simplify 0 into 0 1550698313.041 * [misc]backup-simplify: Simplify 1 into 1 1550698313.042 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698313.042 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698313.042 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698313.043 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550698313.043 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1550698313.043 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1550698313.044 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698313.044 * [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))) 1550698313.045 * [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)))) 1550698313.045 * [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)) 1550698313.045 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1550698313.045 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1550698313.045 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1550698313.045 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550698313.045 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698313.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.045 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698313.045 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698313.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.045 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698313.045 * [misc]taylor: Taking taylor expansion of k in k 1550698313.045 * [misc]backup-simplify: Simplify 0 into 0 1550698313.045 * [misc]backup-simplify: Simplify 1 into 1 1550698313.046 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698313.046 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1550698313.046 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550698313.046 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550698313.046 * [misc]taylor: Taking taylor expansion of 2 in k 1550698313.046 * [misc]backup-simplify: Simplify 2 into 2 1550698313.046 * [misc]taylor: Taking taylor expansion of PI in k 1550698313.046 * [misc]backup-simplify: Simplify PI into PI 1550698313.046 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698313.046 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698313.046 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698313.046 * [misc]taylor: Taking taylor expansion of n in k 1550698313.046 * [misc]backup-simplify: Simplify n into n 1550698313.046 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698313.046 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698313.047 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698313.047 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698313.047 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698313.047 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1550698313.047 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1550698313.048 * [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)))) 1550698313.048 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698313.048 * [misc]taylor: Taking taylor expansion of k in k 1550698313.048 * [misc]backup-simplify: Simplify 0 into 0 1550698313.048 * [misc]backup-simplify: Simplify 1 into 1 1550698313.048 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698313.048 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698313.049 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1550698313.049 * [misc]backup-simplify: Simplify 0 into 0 1550698313.050 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698313.051 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698313.053 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698313.053 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698313.054 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550698313.054 * [misc]backup-simplify: Simplify (- 0) into 0 1550698313.054 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698313.055 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698313.055 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1550698313.057 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698313.058 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1550698313.058 * [misc]taylor: Taking taylor expansion of 0 in k 1550698313.058 * [misc]backup-simplify: Simplify 0 into 0 1550698313.058 * [misc]backup-simplify: Simplify 0 into 0 1550698313.059 * [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)))))) 1550698313.059 * [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)))))) 1550698313.061 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698313.062 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698313.067 * [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 1550698313.067 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698313.068 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550698313.068 * [misc]backup-simplify: Simplify (- 0) into 0 1550698313.068 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698313.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698313.070 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1550698313.072 * [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 1550698313.073 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1550698313.073 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1550698313.074 * [misc]taylor: Taking taylor expansion of 0 in k 1550698313.074 * [misc]backup-simplify: Simplify 0 into 0 1550698313.074 * [misc]backup-simplify: Simplify 0 into 0 1550698313.074 * [misc]backup-simplify: Simplify 0 into 0 1550698313.075 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698313.076 * [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)))))) 1550698313.076 * [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)))))) 1550698313.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698313.086 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698313.095 * [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 1550698313.095 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698313.096 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550698313.096 * [misc]backup-simplify: Simplify (- 0) into 0 1550698313.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698313.097 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698313.097 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1550698313.101 * [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 1550698313.102 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1550698313.103 * [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 1550698313.103 * [misc]taylor: Taking taylor expansion of 0 in k 1550698313.103 * [misc]backup-simplify: Simplify 0 into 0 1550698313.103 * [misc]backup-simplify: Simplify 0 into 0 1550698313.103 * [misc]backup-simplify: Simplify 0 into 0 1550698313.103 * [misc]backup-simplify: Simplify 0 into 0 1550698313.104 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698313.105 * [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)))))) 1550698313.106 * [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)))))) 1550698313.109 * [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)))))))) 1550698313.109 * [misc]backup-simplify: Simplify (/ (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1550698313.109 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1550698313.109 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1550698313.109 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1550698313.109 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1550698313.109 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1550698313.109 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550698313.109 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698313.109 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698313.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.109 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698313.110 * [misc]taylor: Taking taylor expansion of k in k 1550698313.110 * [misc]backup-simplify: Simplify 0 into 0 1550698313.110 * [misc]backup-simplify: Simplify 1 into 1 1550698313.110 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698313.110 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698313.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.110 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1550698313.110 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1550698313.110 * [misc]taylor: Taking taylor expansion of -2 in k 1550698313.110 * [misc]backup-simplify: Simplify -2 into -2 1550698313.110 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698313.110 * [misc]taylor: Taking taylor expansion of PI in k 1550698313.110 * [misc]backup-simplify: Simplify PI into PI 1550698313.110 * [misc]taylor: Taking taylor expansion of n in k 1550698313.110 * [misc]backup-simplify: Simplify n into n 1550698313.110 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698313.110 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1550698313.110 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1550698313.111 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698313.111 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698313.111 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1550698313.111 * [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))) 1550698313.111 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698313.111 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698313.111 * [misc]taylor: Taking taylor expansion of -1 in k 1550698313.111 * [misc]backup-simplify: Simplify -1 into -1 1550698313.111 * [misc]taylor: Taking taylor expansion of k in k 1550698313.111 * [misc]backup-simplify: Simplify 0 into 0 1550698313.111 * [misc]backup-simplify: Simplify 1 into 1 1550698313.111 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698313.112 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698313.112 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698313.113 * [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)))) 1550698313.113 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698313.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.113 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of k in n 1550698313.113 * [misc]backup-simplify: Simplify k into k 1550698313.113 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698313.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698313.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.113 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of -2 in n 1550698313.113 * [misc]backup-simplify: Simplify -2 into -2 1550698313.113 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698313.113 * [misc]taylor: Taking taylor expansion of PI in n 1550698313.113 * [misc]backup-simplify: Simplify PI into PI 1550698313.113 * [misc]taylor: Taking taylor expansion of n in n 1550698313.113 * [misc]backup-simplify: Simplify 0 into 0 1550698313.113 * [misc]backup-simplify: Simplify 1 into 1 1550698313.114 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698313.114 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698313.143 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698313.143 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550698313.143 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698313.144 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698313.145 * [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))) 1550698313.146 * [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)))) 1550698313.146 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550698313.146 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698313.146 * [misc]taylor: Taking taylor expansion of -1 in n 1550698313.146 * [misc]backup-simplify: Simplify -1 into -1 1550698313.146 * [misc]taylor: Taking taylor expansion of k in n 1550698313.146 * [misc]backup-simplify: Simplify k into k 1550698313.146 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698313.146 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550698313.146 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698313.146 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550698313.147 * [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))) 1550698313.147 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1550698313.147 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1550698313.147 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1550698313.147 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1550698313.147 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1550698313.147 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1550698313.147 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698313.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.147 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698313.147 * [misc]taylor: Taking taylor expansion of k in n 1550698313.147 * [misc]backup-simplify: Simplify k into k 1550698313.148 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698313.148 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698313.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.148 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550698313.148 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698313.148 * [misc]taylor: Taking taylor expansion of -2 in n 1550698313.148 * [misc]backup-simplify: Simplify -2 into -2 1550698313.148 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698313.148 * [misc]taylor: Taking taylor expansion of PI in n 1550698313.148 * [misc]backup-simplify: Simplify PI into PI 1550698313.148 * [misc]taylor: Taking taylor expansion of n in n 1550698313.148 * [misc]backup-simplify: Simplify 0 into 0 1550698313.148 * [misc]backup-simplify: Simplify 1 into 1 1550698313.148 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698313.158 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698313.159 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698313.159 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1550698313.159 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698313.160 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698313.160 * [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))) 1550698313.161 * [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)))) 1550698313.161 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550698313.161 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698313.161 * [misc]taylor: Taking taylor expansion of -1 in n 1550698313.161 * [misc]backup-simplify: Simplify -1 into -1 1550698313.161 * [misc]taylor: Taking taylor expansion of k in n 1550698313.161 * [misc]backup-simplify: Simplify k into k 1550698313.161 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698313.161 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550698313.161 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698313.162 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550698313.162 * [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))) 1550698313.165 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1550698313.165 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1550698313.165 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1550698313.165 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550698313.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698313.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698313.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698313.165 * [misc]taylor: Taking taylor expansion of k in k 1550698313.165 * [misc]backup-simplify: Simplify 0 into 0 1550698313.165 * [misc]backup-simplify: Simplify 1 into 1 1550698313.165 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698313.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698313.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698313.165 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1550698313.165 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1550698313.165 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1550698313.165 * [misc]taylor: Taking taylor expansion of -2 in k 1550698313.166 * [misc]backup-simplify: Simplify -2 into -2 1550698313.166 * [misc]taylor: Taking taylor expansion of PI in k 1550698313.166 * [misc]backup-simplify: Simplify PI into PI 1550698313.166 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698313.166 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698313.166 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698313.166 * [misc]taylor: Taking taylor expansion of n in k 1550698313.167 * [misc]backup-simplify: Simplify n into n 1550698313.167 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698313.167 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698313.167 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698313.167 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698313.168 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1550698313.168 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1550698313.177 * [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)))) 1550698313.177 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698313.177 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698313.177 * [misc]taylor: Taking taylor expansion of -1 in k 1550698313.177 * [misc]backup-simplify: Simplify -1 into -1 1550698313.177 * [misc]taylor: Taking taylor expansion of k in k 1550698313.177 * [misc]backup-simplify: Simplify 0 into 0 1550698313.177 * [misc]backup-simplify: Simplify 1 into 1 1550698313.178 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698313.178 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698313.178 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698313.179 * [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))))) 1550698313.180 * [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))))) 1550698313.181 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698313.181 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550698313.190 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1550698313.191 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698313.191 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1550698313.191 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698313.192 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698313.192 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1550698313.194 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698313.195 * [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 1550698313.195 * [misc]taylor: Taking taylor expansion of 0 in k 1550698313.195 * [misc]backup-simplify: Simplify 0 into 0 1550698313.195 * [misc]backup-simplify: Simplify 0 into 0 1550698313.195 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550698313.197 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698313.198 * [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)))))) 1550698313.198 * [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)))))) 1550698313.200 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698313.202 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698313.207 * [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 1550698313.208 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698313.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550698313.208 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698313.209 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698313.210 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1550698313.222 * [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 1550698313.222 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698313.223 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1550698313.224 * [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 1550698313.224 * [misc]taylor: Taking taylor expansion of 0 in k 1550698313.224 * [misc]backup-simplify: Simplify 0 into 0 1550698313.224 * [misc]backup-simplify: Simplify 0 into 0 1550698313.224 * [misc]backup-simplify: Simplify 0 into 0 1550698313.224 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698313.250 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698313.252 * [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)))))) 1550698313.261 * [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)))))) 1550698313.264 * [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))))))))))) 1550698313.264 * * * [misc]progress: simplifying candidates 1550698313.264 * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # 1550698313.264 * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # 1550698313.264 * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # 1550698313.273 * [enter]simplify: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) 1550698313.273 * * [misc]simplify: iters left: 6 (11 enodes) 1550698313.291 * * [misc]simplify: iters left: 5 (43 enodes) 1550698313.322 * * [misc]simplify: iters left: 4 (79 enodes) 1550698313.383 * * [misc]simplify: iters left: 3 (178 enodes) 1550698313.477 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698313.477 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1550698313.478 * * [misc]simplify: Extracting #2: cost 115 inf + 1 1550698313.479 * * [misc]simplify: Extracting #3: cost 122 inf + 547 1550698313.480 * * [misc]simplify: Extracting #4: cost 98 inf + 3382 1550698313.486 * * [misc]simplify: Extracting #5: cost 29 inf + 17882 1550698313.496 * * [misc]simplify: Extracting #6: cost 1 inf + 26098 1550698313.509 * * [misc]simplify: Extracting #7: cost 0 inf + 26523 1550698313.522 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) 1550698313.522 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))) 1550698313.527 * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # 1550698313.529 * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # 1550698313.529 * [enter]simplify: Simplifying (* (* n 2) PI) 1550698313.529 * * [misc]simplify: iters left: 4 (5 enodes) 1550698313.538 * * [misc]simplify: iters left: 3 (19 enodes) 1550698313.545 * * [misc]simplify: iters left: 2 (27 enodes) 1550698313.553 * * [misc]simplify: iters left: 1 (32 enodes) 1550698313.561 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698313.561 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698313.561 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550698313.562 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550698313.562 * [exit]simplify: Simplified to (* (* n 2) PI) 1550698313.562 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1550698313.562 * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # 1550698313.563 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1550698313.563 * * [misc]simplify: iters left: 5 (8 enodes) 1550698313.566 * * [misc]simplify: iters left: 4 (28 enodes) 1550698313.575 * * [misc]simplify: iters left: 3 (36 enodes) 1550698313.765 * * [misc]simplify: iters left: 2 (41 enodes) 1550698313.789 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698313.789 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698313.789 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698313.789 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1550698313.790 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1550698313.790 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1550698313.790 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1550698313.790 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1550698313.810 * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # 1550698313.821 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1550698313.821 * * [misc]simplify: iters left: 5 (6 enodes) 1550698313.825 * * [misc]simplify: iters left: 4 (20 enodes) 1550698313.833 * * [misc]simplify: iters left: 3 (25 enodes) 1550698313.841 * * [misc]simplify: iters left: 2 (27 enodes) 1550698313.849 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698313.849 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698313.849 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1550698313.849 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550698313.849 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1550698313.849 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1550698313.850 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1550698313.850 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1550698313.850 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1550698313.850 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) 1550698313.851 * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # 1550698313.851 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1550698313.851 * * [misc]simplify: iters left: 5 (6 enodes) 1550698313.855 * * [misc]simplify: iters left: 4 (20 enodes) 1550698313.870 * * [misc]simplify: iters left: 3 (25 enodes) 1550698313.877 * * [misc]simplify: iters left: 2 (27 enodes) 1550698313.886 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698313.886 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698313.886 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1550698313.886 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550698313.886 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1550698313.886 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1550698313.887 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1550698313.887 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1550698313.887 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1550698313.887 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) 1550698313.887 * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # 1550698313.888 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1550698313.888 * * [misc]simplify: iters left: 4 (5 enodes) 1550698313.894 * * [misc]simplify: iters left: 3 (17 enodes) 1550698313.900 * * [misc]simplify: iters left: 2 (22 enodes) 1550698313.907 * * [misc]simplify: iters left: 1 (24 enodes) 1550698313.915 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698313.915 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698313.915 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550698313.915 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1550698313.915 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1550698313.915 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1550698313.916 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k))) 1550698313.916 * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # 1550698313.916 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1550698313.916 * * [misc]simplify: iters left: 5 (9 enodes) 1550698313.921 * * [misc]simplify: iters left: 4 (33 enodes) 1550698313.931 * * [misc]simplify: iters left: 3 (43 enodes) 1550698313.944 * * [misc]simplify: iters left: 2 (48 enodes) 1550698313.957 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698313.957 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698313.957 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550698313.957 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1550698313.957 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1550698313.957 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1550698313.958 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1550698313.958 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1550698313.959 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k))) 1550698313.959 * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # 1550698313.959 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1550698313.959 * * [misc]simplify: iters left: 5 (9 enodes) 1550698313.964 * * [misc]simplify: iters left: 4 (33 enodes) 1550698313.974 * * [misc]simplify: iters left: 3 (43 enodes) 1550698314.089 * * [misc]simplify: iters left: 2 (48 enodes) 1550698314.119 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698314.119 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698314.119 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550698314.120 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1550698314.120 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1550698314.124 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1550698314.125 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1550698314.126 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1550698314.126 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k))) 1550698314.145 * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # 1550698314.149 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1550698314.149 * * [misc]simplify: iters left: 5 (8 enodes) 1550698314.154 * * [misc]simplify: iters left: 4 (27 enodes) 1550698314.164 * * [misc]simplify: iters left: 3 (32 enodes) 1550698314.174 * * [misc]simplify: iters left: 2 (34 enodes) 1550698314.184 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698314.184 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698314.184 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550698314.184 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1550698314.184 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1550698314.185 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1550698314.185 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1550698314.186 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1550698314.186 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))) 1550698314.186 * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # 1550698314.186 * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # 1550698314.186 * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # 1550698314.186 * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # 1550698314.186 * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # 1550698314.186 * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # 1550698314.186 * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # 1550698314.186 * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate #real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))> 1550698314.186 * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # 1550698314.186 * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # 1550698314.187 * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # 1550698314.187 * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # 1550698314.187 * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # 1550698314.187 * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # 1550698314.187 * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # 1550698314.187 * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # 1550698314.187 * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # 1550698314.187 * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # 1550698314.187 * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate #real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))> 1550698314.188 * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # 1550698314.188 * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # 1550698314.188 * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # 1550698314.189 * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # 1550698314.189 * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # 1550698314.189 * [enter]simplify: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1550698314.189 * * [misc]simplify: iters left: 6 (14 enodes) 1550698314.197 * * [misc]simplify: iters left: 5 (55 enodes) 1550698314.224 * * [misc]simplify: iters left: 4 (95 enodes) 1550698314.272 * * [misc]simplify: iters left: 3 (217 enodes) 1550698314.522 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698314.523 * * [misc]simplify: Extracting #1: cost 44 inf + 0 1550698314.524 * * [misc]simplify: Extracting #2: cost 144 inf + 1 1550698314.525 * * [misc]simplify: Extracting #3: cost 177 inf + 2 1550698314.527 * * [misc]simplify: Extracting #4: cost 168 inf + 620 1550698314.531 * * [misc]simplify: Extracting #5: cost 111 inf + 10524 1550698314.543 * * [misc]simplify: Extracting #6: cost 13 inf + 42678 1550698314.562 * * [misc]simplify: Extracting #7: cost 0 inf + 45688 1550698314.579 * * [misc]simplify: Extracting #8: cost 0 inf + 45673 1550698314.594 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))) 1550698314.594 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1550698314.594 * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # 1550698314.595 * [enter]simplify: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1550698314.595 * * [misc]simplify: iters left: 6 (14 enodes) 1550698314.601 * * [misc]simplify: iters left: 5 (55 enodes) 1550698314.612 * * [misc]simplify: iters left: 4 (95 enodes) 1550698314.644 * * [misc]simplify: iters left: 3 (217 enodes) 1550698314.776 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698314.776 * * [misc]simplify: Extracting #1: cost 44 inf + 0 1550698314.777 * * [misc]simplify: Extracting #2: cost 144 inf + 1 1550698314.778 * * [misc]simplify: Extracting #3: cost 177 inf + 2 1550698314.780 * * [misc]simplify: Extracting #4: cost 168 inf + 620 1550698314.835 * * [misc]simplify: Extracting #5: cost 111 inf + 10524 1550698314.884 * * [misc]simplify: Extracting #6: cost 13 inf + 42678 1550698314.907 * * [misc]simplify: Extracting #7: cost 0 inf + 45688 1550698314.926 * * [misc]simplify: Extracting #8: cost 0 inf + 45673 1550698314.949 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))) 1550698314.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1550698314.949 * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # 1550698314.950 * [enter]simplify: Simplifying (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1550698314.950 * * [misc]simplify: iters left: 6 (14 enodes) 1550698314.957 * * [misc]simplify: iters left: 5 (52 enodes) 1550698314.972 * * [misc]simplify: iters left: 4 (79 enodes) 1550698314.998 * * [misc]simplify: iters left: 3 (130 enodes) 1550698315.052 * * [misc]simplify: iters left: 2 (312 enodes) 1550698315.346 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698315.346 * * [misc]simplify: Extracting #1: cost 82 inf + 0 1550698315.348 * * [misc]simplify: Extracting #2: cost 238 inf + 1 1550698315.351 * * [misc]simplify: Extracting #3: cost 241 inf + 729 1550698315.356 * * [misc]simplify: Extracting #4: cost 179 inf + 13186 1550698315.386 * * [misc]simplify: Extracting #5: cost 28 inf + 65958 1550698315.420 * * [misc]simplify: Extracting #6: cost 0 inf + 76840 1550698315.453 * * [misc]simplify: Extracting #7: cost 0 inf + 76795 1550698315.487 * [exit]simplify: Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1550698315.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1550698315.488 * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # 1550698315.488 * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # 1550698315.488 * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # 1550698315.488 * [enter]simplify: Simplifying (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1550698315.488 * * [misc]simplify: iters left: 6 (16 enodes) 1550698315.497 * * [misc]simplify: iters left: 5 (61 enodes) 1550698315.519 * * [misc]simplify: iters left: 4 (113 enodes) 1550698315.559 * * [misc]simplify: iters left: 3 (185 enodes) 1550698315.618 * * [misc]simplify: iters left: 2 (215 enodes) 1550698315.680 * * [misc]simplify: iters left: 1 (221 enodes) 1550698315.738 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698315.738 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1550698315.739 * * [misc]simplify: Extracting #2: cost 41 inf + 123 1550698315.739 * * [misc]simplify: Extracting #3: cost 49 inf + 246 1550698315.740 * * [misc]simplify: Extracting #4: cost 51 inf + 250 1550698315.740 * * [misc]simplify: Extracting #5: cost 39 inf + 1291 1550698315.745 * * [misc]simplify: Extracting #6: cost 5 inf + 15749 1550698315.752 * * [misc]simplify: Extracting #7: cost 0 inf + 18264 1550698315.759 * [exit]simplify: Simplified to (/ (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt k) k)) 1550698315.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt k) k)))) 1550698315.760 * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # 1550698315.760 * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # 1550698315.760 * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # 1550698315.760 * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # 1550698315.760 * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # 1550698315.760 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698315.760 * * [misc]simplify: iters left: 6 (12 enodes) 1550698315.767 * * [misc]simplify: iters left: 5 (43 enodes) 1550698315.780 * * [misc]simplify: iters left: 4 (53 enodes) 1550698315.795 * * [misc]simplify: iters left: 3 (59 enodes) 1550698315.814 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698315.814 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698315.814 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698315.815 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1550698315.815 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1550698315.815 * * [misc]simplify: Extracting #5: cost 12 inf + 460 1550698315.816 * * [misc]simplify: Extracting #6: cost 2 inf + 1923 1550698315.817 * * [misc]simplify: Extracting #7: cost 0 inf + 2531 1550698315.817 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698315.818 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1550698315.818 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))) 1550698315.818 * * [misc]simplify: iters left: 6 (12 enodes) 1550698315.825 * * [misc]simplify: iters left: 5 (42 enodes) 1550698315.838 * * [misc]simplify: iters left: 4 (52 enodes) 1550698315.859 * * [misc]simplify: iters left: 3 (58 enodes) 1550698315.874 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698315.874 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698315.874 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698315.874 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550698315.875 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1550698315.875 * * [misc]simplify: Extracting #5: cost 4 inf + 1367 1550698315.876 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1550698315.877 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1550698315.877 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))) 1550698315.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1550698315.878 * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # 1550698315.879 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) 1550698315.879 * * [misc]simplify: iters left: 6 (11 enodes) 1550698315.884 * * [misc]simplify: iters left: 5 (38 enodes) 1550698315.895 * * [misc]simplify: iters left: 4 (46 enodes) 1550698315.909 * * [misc]simplify: iters left: 3 (51 enodes) 1550698315.929 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698315.929 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698315.929 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698315.929 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550698315.929 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1550698315.930 * * [misc]simplify: Extracting #5: cost 2 inf + 913 1550698315.930 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1550698315.931 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1550698315.932 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) 1550698315.932 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1550698315.932 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))) 1550698315.932 * * [misc]simplify: iters left: 6 (12 enodes) 1550698315.938 * * [misc]simplify: iters left: 5 (42 enodes) 1550698315.951 * * [misc]simplify: iters left: 4 (52 enodes) 1550698315.967 * * [misc]simplify: iters left: 3 (58 enodes) 1550698316.050 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.050 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.050 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.050 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550698316.050 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1550698316.051 * * [misc]simplify: Extracting #5: cost 4 inf + 1287 1550698316.051 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1550698316.052 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1550698316.053 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))) 1550698316.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1550698316.054 * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # 1550698316.055 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1) 1550698316.055 * * [misc]simplify: iters left: 6 (9 enodes) 1550698316.070 * * [misc]simplify: iters left: 5 (32 enodes) 1550698316.098 * * [misc]simplify: iters left: 4 (44 enodes) 1550698316.111 * * [misc]simplify: iters left: 3 (49 enodes) 1550698316.123 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.123 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698316.123 * * [misc]simplify: Extracting #2: cost 10 inf + 2 1550698316.123 * * [misc]simplify: Extracting #3: cost 9 inf + 47 1550698316.124 * * [misc]simplify: Extracting #4: cost 0 inf + 669 1550698316.124 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1550698316.124 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1550698316.125 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1550698316.125 * * [misc]simplify: iters left: 6 (11 enodes) 1550698316.131 * * [misc]simplify: iters left: 5 (39 enodes) 1550698316.143 * * [misc]simplify: iters left: 4 (49 enodes) 1550698316.157 * * [misc]simplify: iters left: 3 (54 enodes) 1550698316.172 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.172 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.172 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.172 * * [misc]simplify: Extracting #3: cost 16 inf + 83 1550698316.172 * * [misc]simplify: Extracting #4: cost 16 inf + 169 1550698316.173 * * [misc]simplify: Extracting #5: cost 3 inf + 1500 1550698316.173 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1550698316.174 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1550698316.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1550698316.174 * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # 1550698316.176 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698316.176 * * [misc]simplify: iters left: 6 (12 enodes) 1550698316.183 * * [misc]simplify: iters left: 5 (43 enodes) 1550698316.196 * * [misc]simplify: iters left: 4 (53 enodes) 1550698316.212 * * [misc]simplify: iters left: 3 (59 enodes) 1550698316.228 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.228 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698316.228 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698316.228 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1550698316.228 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1550698316.229 * * [misc]simplify: Extracting #5: cost 12 inf + 460 1550698316.229 * * [misc]simplify: Extracting #6: cost 2 inf + 1923 1550698316.230 * * [misc]simplify: Extracting #7: cost 0 inf + 2531 1550698316.231 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698316.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1550698316.231 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))) 1550698316.231 * * [misc]simplify: iters left: 6 (12 enodes) 1550698316.239 * * [misc]simplify: iters left: 5 (42 enodes) 1550698316.252 * * [misc]simplify: iters left: 4 (52 enodes) 1550698316.267 * * [misc]simplify: iters left: 3 (58 enodes) 1550698316.282 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.282 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.282 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.282 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550698316.282 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1550698316.283 * * [misc]simplify: Extracting #5: cost 4 inf + 1367 1550698316.283 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1550698316.284 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1550698316.285 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))) 1550698316.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1550698316.285 * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # 1550698316.285 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) 1550698316.286 * * [misc]simplify: iters left: 6 (11 enodes) 1550698316.291 * * [misc]simplify: iters left: 5 (38 enodes) 1550698316.304 * * [misc]simplify: iters left: 4 (46 enodes) 1550698316.317 * * [misc]simplify: iters left: 3 (51 enodes) 1550698316.331 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.331 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.331 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.331 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550698316.331 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1550698316.331 * * [misc]simplify: Extracting #5: cost 2 inf + 913 1550698316.332 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1550698316.332 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1550698316.333 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) 1550698316.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1550698316.333 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))) 1550698316.334 * * [misc]simplify: iters left: 6 (12 enodes) 1550698316.340 * * [misc]simplify: iters left: 5 (42 enodes) 1550698316.353 * * [misc]simplify: iters left: 4 (52 enodes) 1550698316.368 * * [misc]simplify: iters left: 3 (58 enodes) 1550698316.383 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.383 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.384 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.384 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550698316.384 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1550698316.384 * * [misc]simplify: Extracting #5: cost 4 inf + 1287 1550698316.385 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1550698316.386 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1550698316.387 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))) 1550698316.387 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1550698316.387 * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # 1550698316.387 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1) 1550698316.387 * * [misc]simplify: iters left: 6 (9 enodes) 1550698316.395 * * [misc]simplify: iters left: 5 (32 enodes) 1550698316.406 * * [misc]simplify: iters left: 4 (44 enodes) 1550698316.419 * * [misc]simplify: iters left: 3 (49 enodes) 1550698316.431 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.431 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698316.432 * * [misc]simplify: Extracting #2: cost 10 inf + 2 1550698316.432 * * [misc]simplify: Extracting #3: cost 9 inf + 47 1550698316.432 * * [misc]simplify: Extracting #4: cost 0 inf + 669 1550698316.432 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1550698316.433 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1550698316.433 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1550698316.433 * * [misc]simplify: iters left: 6 (11 enodes) 1550698316.439 * * [misc]simplify: iters left: 5 (39 enodes) 1550698316.452 * * [misc]simplify: iters left: 4 (49 enodes) 1550698316.467 * * [misc]simplify: iters left: 3 (54 enodes) 1550698316.481 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.481 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.482 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.482 * * [misc]simplify: Extracting #3: cost 16 inf + 83 1550698316.482 * * [misc]simplify: Extracting #4: cost 16 inf + 169 1550698316.482 * * [misc]simplify: Extracting #5: cost 3 inf + 1500 1550698316.483 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1550698316.484 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1550698316.484 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1550698316.484 * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # 1550698316.484 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698316.485 * * [misc]simplify: iters left: 6 (12 enodes) 1550698316.490 * * [misc]simplify: iters left: 5 (41 enodes) 1550698316.501 * * [misc]simplify: iters left: 4 (48 enodes) 1550698316.509 * * [misc]simplify: iters left: 3 (50 enodes) 1550698316.522 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.522 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698316.522 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698316.522 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550698316.522 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1550698316.523 * * [misc]simplify: Extracting #5: cost 8 inf + 1494 1550698316.523 * * [misc]simplify: Extracting #6: cost 2 inf + 2926 1550698316.524 * * [misc]simplify: Extracting #7: cost 0 inf + 3954 1550698316.525 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698316.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1550698316.526 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1550698316.526 * * [misc]simplify: iters left: 6 (10 enodes) 1550698316.531 * * [misc]simplify: iters left: 5 (32 enodes) 1550698316.544 * * [misc]simplify: iters left: 4 (37 enodes) 1550698316.556 * * [misc]simplify: iters left: 3 (39 enodes) 1550698316.568 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.568 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.568 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.568 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698316.568 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1550698316.568 * * [misc]simplify: Extracting #5: cost 11 inf + 369 1550698316.569 * * [misc]simplify: Extracting #6: cost 6 inf + 659 1550698316.569 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1550698316.570 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1550698316.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1550698316.570 * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # 1550698316.571 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550698316.571 * * [misc]simplify: iters left: 6 (11 enodes) 1550698316.576 * * [misc]simplify: iters left: 5 (36 enodes) 1550698316.588 * * [misc]simplify: iters left: 4 (41 enodes) 1550698316.601 * * [misc]simplify: iters left: 3 (43 enodes) 1550698316.614 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.614 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.615 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.615 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698316.615 * * [misc]simplify: Extracting #4: cost 12 inf + 291 1550698316.615 * * [misc]simplify: Extracting #5: cost 4 inf + 1121 1550698316.616 * * [misc]simplify: Extracting #6: cost 0 inf + 2404 1550698316.616 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550698316.617 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1550698316.617 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550698316.617 * * [misc]simplify: iters left: 6 (10 enodes) 1550698316.623 * * [misc]simplify: iters left: 5 (32 enodes) 1550698316.633 * * [misc]simplify: iters left: 4 (37 enodes) 1550698316.645 * * [misc]simplify: iters left: 3 (39 enodes) 1550698316.656 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.656 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.656 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.656 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698316.656 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1550698316.656 * * [misc]simplify: Extracting #5: cost 11 inf + 289 1550698316.657 * * [misc]simplify: Extracting #6: cost 6 inf + 579 1550698316.657 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1550698316.658 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550698316.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1550698316.658 * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # 1550698316.658 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) 1550698316.658 * * [misc]simplify: iters left: 6 (10 enodes) 1550698316.665 * * [misc]simplify: iters left: 5 (33 enodes) 1550698316.676 * * [misc]simplify: iters left: 4 (40 enodes) 1550698316.689 * * [misc]simplify: iters left: 3 (42 enodes) 1550698316.701 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.701 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698316.701 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550698316.701 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1550698316.702 * * [misc]simplify: Extracting #4: cost 7 inf + 214 1550698316.702 * * [misc]simplify: Extracting #5: cost 0 inf + 1253 1550698316.702 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1550698316.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1550698316.703 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1550698316.703 * * [misc]simplify: iters left: 6 (9 enodes) 1550698316.708 * * [misc]simplify: iters left: 5 (29 enodes) 1550698316.719 * * [misc]simplify: iters left: 4 (34 enodes) 1550698316.730 * * [misc]simplify: iters left: 3 (36 enodes) 1550698316.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.741 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.741 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698316.741 * * [misc]simplify: Extracting #3: cost 9 inf + 84 1550698316.741 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1550698316.741 * * [misc]simplify: Extracting #5: cost 10 inf + 209 1550698316.741 * * [misc]simplify: Extracting #6: cost 6 inf + 457 1550698316.742 * * [misc]simplify: Extracting #7: cost 1 inf + 1624 1550698316.742 * * [misc]simplify: Extracting #8: cost 0 inf + 1918 1550698316.743 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1550698316.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1550698316.743 * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # 1550698316.743 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698316.744 * * [misc]simplify: iters left: 6 (16 enodes) 1550698316.752 * * [misc]simplify: iters left: 5 (60 enodes) 1550698316.771 * * [misc]simplify: iters left: 4 (88 enodes) 1550698316.798 * * [misc]simplify: iters left: 3 (102 enodes) 1550698316.821 * * [misc]simplify: iters left: 2 (105 enodes) 1550698316.843 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.843 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698316.843 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1550698316.843 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1550698316.843 * * [misc]simplify: Extracting #4: cost 35 inf + 163 1550698316.844 * * [misc]simplify: Extracting #5: cost 32 inf + 693 1550698316.844 * * [misc]simplify: Extracting #6: cost 20 inf + 1775 1550698316.846 * * [misc]simplify: Extracting #7: cost 3 inf + 10110 1550698316.849 * * [misc]simplify: Extracting #8: cost 0 inf + 11915 1550698316.851 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1550698316.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1550698316.852 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1550698316.852 * * [misc]simplify: iters left: 6 (14 enodes) 1550698316.861 * * [misc]simplify: iters left: 5 (48 enodes) 1550698316.874 * * [misc]simplify: iters left: 4 (61 enodes) 1550698316.891 * * [misc]simplify: iters left: 3 (69 enodes) 1550698316.919 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698316.919 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698316.919 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698316.919 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698316.919 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550698316.919 * * [misc]simplify: Extracting #5: cost 20 inf + 371 1550698316.920 * * [misc]simplify: Extracting #6: cost 7 inf + 1535 1550698316.921 * * [misc]simplify: Extracting #7: cost 1 inf + 3518 1550698316.922 * * [misc]simplify: Extracting #8: cost 0 inf + 4133 1550698316.923 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1550698316.927 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1550698316.928 * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # 1550698316.933 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1550698316.933 * * [misc]simplify: iters left: 6 (15 enodes) 1550698316.961 * * [misc]simplify: iters left: 5 (53 enodes) 1550698316.977 * * [misc]simplify: iters left: 4 (70 enodes) 1550698316.998 * * [misc]simplify: iters left: 3 (80 enodes) 1550698317.020 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.020 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698317.021 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550698317.021 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550698317.021 * * [misc]simplify: Extracting #4: cost 25 inf + 245 1550698317.021 * * [misc]simplify: Extracting #5: cost 27 inf + 249 1550698317.022 * * [misc]simplify: Extracting #6: cost 15 inf + 1542 1550698317.023 * * [misc]simplify: Extracting #7: cost 1 inf + 6768 1550698317.025 * * [misc]simplify: Extracting #8: cost 0 inf + 7343 1550698317.027 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1550698317.027 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1550698317.027 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550698317.027 * * [misc]simplify: iters left: 6 (14 enodes) 1550698317.052 * * [misc]simplify: iters left: 5 (48 enodes) 1550698317.087 * * [misc]simplify: iters left: 4 (61 enodes) 1550698317.175 * * [misc]simplify: iters left: 3 (69 enodes) 1550698317.211 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.211 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698317.212 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698317.212 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698317.212 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550698317.212 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1550698317.217 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1550698317.218 * * [misc]simplify: Extracting #7: cost 1 inf + 3398 1550698317.219 * * [misc]simplify: Extracting #8: cost 0 inf + 3973 1550698317.220 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550698317.224 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1550698317.225 * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # 1550698317.229 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) 1550698317.229 * * [misc]simplify: iters left: 6 (14 enodes) 1550698317.263 * * [misc]simplify: iters left: 5 (50 enodes) 1550698317.310 * * [misc]simplify: iters left: 4 (73 enodes) 1550698317.350 * * [misc]simplify: iters left: 3 (81 enodes) 1550698317.392 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.392 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698317.392 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550698317.392 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698317.392 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698317.392 * * [misc]simplify: Extracting #5: cost 24 inf + 5 1550698317.397 * * [misc]simplify: Extracting #6: cost 12 inf + 1046 1550698317.398 * * [misc]simplify: Extracting #7: cost 2 inf + 3571 1550698317.399 * * [misc]simplify: Extracting #8: cost 0 inf + 4562 1550698317.404 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1550698317.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1550698317.405 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1550698317.405 * * [misc]simplify: iters left: 6 (13 enodes) 1550698317.416 * * [misc]simplify: iters left: 5 (45 enodes) 1550698317.447 * * [misc]simplify: iters left: 4 (58 enodes) 1550698317.471 * * [misc]simplify: iters left: 3 (65 enodes) 1550698317.491 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.491 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698317.492 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698317.492 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698317.492 * * [misc]simplify: Extracting #4: cost 20 inf + 42 1550698317.492 * * [misc]simplify: Extracting #5: cost 18 inf + 253 1550698317.492 * * [misc]simplify: Extracting #6: cost 8 inf + 1169 1550698317.493 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1550698317.494 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1550698317.496 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1550698317.496 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1550698317.496 * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # 1550698317.496 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698317.496 * * [misc]simplify: iters left: 6 (15 enodes) 1550698317.505 * * [misc]simplify: iters left: 5 (53 enodes) 1550698317.522 * * [misc]simplify: iters left: 4 (68 enodes) 1550698317.542 * * [misc]simplify: iters left: 3 (75 enodes) 1550698317.563 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.563 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698317.563 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550698317.563 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698317.563 * * [misc]simplify: Extracting #4: cost 26 inf + 42 1550698317.564 * * [misc]simplify: Extracting #5: cost 24 inf + 530 1550698317.564 * * [misc]simplify: Extracting #6: cost 11 inf + 1944 1550698317.565 * * [misc]simplify: Extracting #7: cost 0 inf + 5525 1550698317.567 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698317.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1550698317.567 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1550698317.567 * * [misc]simplify: iters left: 6 (14 enodes) 1550698317.574 * * [misc]simplify: iters left: 5 (48 enodes) 1550698317.589 * * [misc]simplify: iters left: 4 (61 enodes) 1550698317.609 * * [misc]simplify: iters left: 3 (69 enodes) 1550698317.627 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.627 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698317.627 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698317.627 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698317.627 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550698317.628 * * [misc]simplify: Extracting #5: cost 20 inf + 371 1550698317.628 * * [misc]simplify: Extracting #6: cost 7 inf + 1535 1550698317.629 * * [misc]simplify: Extracting #7: cost 1 inf + 3398 1550698317.630 * * [misc]simplify: Extracting #8: cost 0 inf + 3973 1550698317.631 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1550698317.631 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1550698317.632 * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # 1550698317.632 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550698317.632 * * [misc]simplify: iters left: 6 (14 enodes) 1550698317.641 * * [misc]simplify: iters left: 5 (48 enodes) 1550698317.656 * * [misc]simplify: iters left: 4 (61 enodes) 1550698317.674 * * [misc]simplify: iters left: 3 (69 enodes) 1550698317.694 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.694 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698317.694 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698317.694 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698317.694 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550698317.695 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1550698317.695 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1550698317.696 * * [misc]simplify: Extracting #7: cost 1 inf + 3278 1550698317.697 * * [misc]simplify: Extracting #8: cost 0 inf + 3813 1550698317.698 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550698317.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1550698317.699 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550698317.699 * * [misc]simplify: iters left: 6 (14 enodes) 1550698317.706 * * [misc]simplify: iters left: 5 (48 enodes) 1550698317.721 * * [misc]simplify: iters left: 4 (61 enodes) 1550698317.739 * * [misc]simplify: iters left: 3 (69 enodes) 1550698317.757 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.757 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698317.757 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698317.757 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698317.757 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550698317.758 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1550698317.758 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1550698317.759 * * [misc]simplify: Extracting #7: cost 1 inf + 3278 1550698317.760 * * [misc]simplify: Extracting #8: cost 0 inf + 3813 1550698317.761 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1550698317.761 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1550698317.761 * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # 1550698317.762 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) 1550698317.762 * * [misc]simplify: iters left: 6 (13 enodes) 1550698317.769 * * [misc]simplify: iters left: 5 (45 enodes) 1550698317.785 * * [misc]simplify: iters left: 4 (60 enodes) 1550698317.805 * * [misc]simplify: iters left: 3 (67 enodes) 1550698317.822 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.822 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698317.822 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698317.822 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550698317.822 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1550698317.823 * * [misc]simplify: Extracting #5: cost 4 inf + 1254 1550698317.837 * * [misc]simplify: Extracting #6: cost 1 inf + 2085 1550698317.838 * * [misc]simplify: Extracting #7: cost 0 inf + 2500 1550698317.839 * [exit]simplify: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1550698317.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1550698317.854 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1550698317.854 * * [misc]simplify: iters left: 6 (13 enodes) 1550698317.861 * * [misc]simplify: iters left: 5 (45 enodes) 1550698317.874 * * [misc]simplify: iters left: 4 (58 enodes) 1550698317.892 * * [misc]simplify: iters left: 3 (65 enodes) 1550698317.909 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.909 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698317.909 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698317.909 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698317.910 * * [misc]simplify: Extracting #4: cost 20 inf + 42 1550698317.910 * * [misc]simplify: Extracting #5: cost 18 inf + 253 1550698317.910 * * [misc]simplify: Extracting #6: cost 8 inf + 1169 1550698317.910 * * [misc]simplify: Extracting #7: cost 1 inf + 3076 1550698317.911 * * [misc]simplify: Extracting #8: cost 0 inf + 3571 1550698317.911 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1550698317.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1550698317.911 * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # 1550698317.912 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698317.912 * * [misc]simplify: iters left: 6 (6 enodes) 1550698317.914 * * [misc]simplify: iters left: 5 (22 enodes) 1550698317.918 * * [misc]simplify: iters left: 4 (26 enodes) 1550698317.926 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.926 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698317.926 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550698317.926 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550698317.926 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1550698317.927 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1550698317.927 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1550698317.927 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698317.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1550698317.928 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1550698317.928 * * [misc]simplify: iters left: 6 (13 enodes) 1550698317.935 * * [misc]simplify: iters left: 5 (45 enodes) 1550698317.949 * * [misc]simplify: iters left: 4 (58 enodes) 1550698317.964 * * [misc]simplify: iters left: 3 (65 enodes) 1550698317.977 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.977 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698317.977 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698317.977 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550698317.977 * * [misc]simplify: Extracting #4: cost 18 inf + 333 1550698317.978 * * [misc]simplify: Extracting #5: cost 6 inf + 1411 1550698317.979 * * [misc]simplify: Extracting #6: cost 1 inf + 2528 1550698317.980 * * [misc]simplify: Extracting #7: cost 0 inf + 3063 1550698317.981 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1550698317.981 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1550698317.981 * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # 1550698317.981 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1550698317.981 * * [misc]simplify: iters left: 4 (5 enodes) 1550698317.983 * * [misc]simplify: iters left: 3 (17 enodes) 1550698317.987 * * [misc]simplify: iters left: 2 (19 enodes) 1550698317.991 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698317.991 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698317.991 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698317.991 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550698317.991 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1550698317.991 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550698317.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1550698317.992 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550698317.992 * * [misc]simplify: iters left: 6 (13 enodes) 1550698317.996 * * [misc]simplify: iters left: 5 (45 enodes) 1550698318.008 * * [misc]simplify: iters left: 4 (58 enodes) 1550698318.021 * * [misc]simplify: iters left: 3 (65 enodes) 1550698318.039 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.039 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698318.039 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698318.039 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550698318.039 * * [misc]simplify: Extracting #4: cost 18 inf + 293 1550698318.039 * * [misc]simplify: Extracting #5: cost 6 inf + 1331 1550698318.040 * * [misc]simplify: Extracting #6: cost 1 inf + 2408 1550698318.041 * * [misc]simplify: Extracting #7: cost 0 inf + 2903 1550698318.041 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1550698318.041 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1550698318.042 * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # 1550698318.042 * [enter]simplify: Simplifying (/ 1 1) 1550698318.042 * * [misc]simplify: iters left: 2 (2 enodes) 1550698318.043 * * [misc]simplify: iters left: 1 (6 enodes) 1550698318.046 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.046 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698318.046 * [exit]simplify: Simplified to 1 1550698318.046 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1550698318.046 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1550698318.046 * * [misc]simplify: iters left: 6 (12 enodes) 1550698318.052 * * [misc]simplify: iters left: 5 (42 enodes) 1550698318.063 * * [misc]simplify: iters left: 4 (55 enodes) 1550698318.078 * * [misc]simplify: iters left: 3 (62 enodes) 1550698318.094 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.094 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698318.095 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698318.095 * * [misc]simplify: Extracting #3: cost 18 inf + 42 1550698318.095 * * [misc]simplify: Extracting #4: cost 18 inf + 129 1550698318.095 * * [misc]simplify: Extracting #5: cost 6 inf + 1502 1550698318.096 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1550698318.097 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1550698318.097 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1550698318.098 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1550698318.098 * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # 1550698318.098 * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # 1550698318.098 * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # 1550698318.098 * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # 1550698318.098 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1550698318.098 * * [misc]simplify: iters left: 2 (3 enodes) 1550698318.100 * * [misc]simplify: iters left: 1 (9 enodes) 1550698318.102 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.102 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698318.102 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698318.102 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550698318.102 * * [misc]simplify: Extracting #4: cost 0 inf + 325 1550698318.102 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1550698318.103 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1550698318.103 * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # 1550698318.103 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1550698318.103 * * [misc]simplify: iters left: 2 (3 enodes) 1550698318.104 * * [misc]simplify: iters left: 1 (9 enodes) 1550698318.107 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.107 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698318.107 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698318.107 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550698318.107 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1550698318.109 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1550698318.109 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1550698318.109 * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # 1550698318.109 * [enter]simplify: Simplifying (sqrt k) 1550698318.109 * * [misc]simplify: iters left: 1 (2 enodes) 1550698318.110 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.110 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698318.110 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1550698318.110 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1550698318.110 * [exit]simplify: Simplified to (sqrt k) 1550698318.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k))) 1550698318.111 * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # 1550698318.111 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1550698318.111 * * [misc]simplify: iters left: 5 (7 enodes) 1550698318.118 * * [misc]simplify: iters left: 4 (26 enodes) 1550698318.134 * * [misc]simplify: iters left: 3 (34 enodes) 1550698318.153 * * [misc]simplify: iters left: 2 (39 enodes) 1550698318.164 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.164 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698318.164 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1550698318.164 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1550698318.165 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1550698318.165 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1550698318.166 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1550698318.166 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))) 1550698318.166 * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # 1550698318.166 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1550698318.166 * * [misc]simplify: iters left: 5 (7 enodes) 1550698318.170 * * [misc]simplify: iters left: 4 (26 enodes) 1550698318.179 * * [misc]simplify: iters left: 3 (34 enodes) 1550698318.189 * * [misc]simplify: iters left: 2 (39 enodes) 1550698318.200 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.200 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698318.200 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1550698318.200 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1550698318.200 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1550698318.201 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1550698318.201 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1550698318.201 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))) 1550698318.201 * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # 1550698318.202 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1550698318.202 * * [misc]simplify: iters left: 5 (8 enodes) 1550698318.206 * * [misc]simplify: iters left: 4 (27 enodes) 1550698318.215 * * [misc]simplify: iters left: 3 (32 enodes) 1550698318.225 * * [misc]simplify: iters left: 2 (34 enodes) 1550698318.235 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.235 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698318.235 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550698318.235 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1550698318.235 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1550698318.235 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1550698318.236 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1550698318.236 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1550698318.236 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1550698318.237 * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # 1550698318.237 * [enter]simplify: Simplifying (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1550698318.237 * * [misc]simplify: iters left: 6 (12 enodes) 1550698318.243 * * [misc]simplify: iters left: 5 (42 enodes) 1550698318.257 * * [misc]simplify: iters left: 4 (55 enodes) 1550698318.272 * * [misc]simplify: iters left: 3 (62 enodes) 1550698318.291 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.291 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698318.291 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698318.291 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550698318.291 * * [misc]simplify: Extracting #4: cost 19 inf + 0 1550698318.291 * * [misc]simplify: Extracting #5: cost 22 inf + 4 1550698318.292 * * [misc]simplify: Extracting #6: cost 10 inf + 1256 1550698318.293 * * [misc]simplify: Extracting #7: cost 1 inf + 3074 1550698318.294 * * [misc]simplify: Extracting #8: cost 0 inf + 3569 1550698318.295 * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1550698318.295 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1550698318.295 * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # 1550698318.295 * [enter]simplify: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1550698318.295 * * [misc]simplify: iters left: 6 (11 enodes) 1550698318.301 * * [misc]simplify: iters left: 5 (39 enodes) 1550698318.313 * * [misc]simplify: iters left: 4 (52 enodes) 1550698318.329 * * [misc]simplify: iters left: 3 (59 enodes) 1550698318.342 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.342 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698318.342 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698318.342 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698318.342 * * [misc]simplify: Extracting #4: cost 19 inf + 46 1550698318.342 * * [misc]simplify: Extracting #5: cost 7 inf + 1087 1550698318.343 * * [misc]simplify: Extracting #6: cost 0 inf + 2499 1550698318.344 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1550698318.344 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1550698318.345 * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # 1550698318.345 * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # 1550698318.345 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1550698318.345 * * [misc]simplify: iters left: 5 (7 enodes) 1550698318.349 * * [misc]simplify: iters left: 4 (26 enodes) 1550698318.354 * * [misc]simplify: iters left: 3 (34 enodes) 1550698318.364 * * [misc]simplify: iters left: 2 (39 enodes) 1550698318.374 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698318.374 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698318.374 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1550698318.375 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1550698318.375 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1550698318.375 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1550698318.376 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1550698318.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2))))) 1550698318.376 * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate #real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))> 1550698318.376 * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # 1550698318.376 * [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))))) 1550698318.377 * * [misc]simplify: iters left: 6 (37 enodes) 1550698318.394 * * [misc]simplify: iters left: 5 (182 enodes) 1550698318.469 * * [misc]simplify: iters left: 4 (487 enodes) 1550698319.030 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698319.030 * * [misc]simplify: Extracting #1: cost 74 inf + 0 1550698319.033 * * [misc]simplify: Extracting #2: cost 339 inf + 3 1550698319.037 * * [misc]simplify: Extracting #3: cost 496 inf + 559 1550698319.062 * * [misc]simplify: Extracting #4: cost 330 inf + 53115 1550698319.135 * * [misc]simplify: Extracting #5: cost 70 inf + 174349 1550698319.254 * * [misc]simplify: Extracting #6: cost 0 inf + 222643 1550698319.368 * * [misc]simplify: Extracting #7: cost 0 inf + 219647 1550698319.483 * * [misc]simplify: Extracting #8: cost 0 inf + 219582 1550698319.596 * [exit]simplify: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) 1550698319.596 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) (sqrt k))) 1550698319.596 * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # 1550698319.596 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1550698319.597 * * [misc]simplify: iters left: 6 (15 enodes) 1550698319.606 * * [misc]simplify: iters left: 5 (63 enodes) 1550698319.627 * * [misc]simplify: iters left: 4 (108 enodes) 1550698319.670 * * [misc]simplify: iters left: 3 (268 enodes) 1550698319.823 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698319.823 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698319.823 * * [misc]simplify: Extracting #2: cost 116 inf + 0 1550698319.825 * * [misc]simplify: Extracting #3: cost 211 inf + 668 1550698319.829 * * [misc]simplify: Extracting #4: cost 149 inf + 9715 1550698319.841 * * [misc]simplify: Extracting #5: cost 42 inf + 34460 1550698319.859 * * [misc]simplify: Extracting #6: cost 0 inf + 46240 1550698319.878 * * [misc]simplify: Extracting #7: cost 0 inf + 45870 1550698319.899 * [exit]simplify: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2)) 1550698319.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma k -1/2 1/2)) (sqrt k))) 1550698319.899 * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # 1550698319.900 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1550698319.900 * * [misc]simplify: iters left: 6 (15 enodes) 1550698319.909 * * [misc]simplify: iters left: 5 (60 enodes) 1550698319.930 * * [misc]simplify: iters left: 4 (111 enodes) 1550698319.971 * * [misc]simplify: iters left: 3 (302 enodes) 1550698320.211 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698320.211 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698320.211 * * [misc]simplify: Extracting #2: cost 144 inf + 0 1550698320.214 * * [misc]simplify: Extracting #3: cost 312 inf + 558 1550698320.217 * * [misc]simplify: Extracting #4: cost 279 inf + 4663 1550698320.231 * * [misc]simplify: Extracting #5: cost 100 inf + 51858 1550698320.262 * * [misc]simplify: Extracting #6: cost 2 inf + 80601 1550698320.291 * * [misc]simplify: Extracting #7: cost 0 inf + 76621 1550698320.321 * * [misc]simplify: Extracting #8: cost 0 inf + 76306 1550698320.353 * [exit]simplify: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) 1550698320.354 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))) 1550698320.354 * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # 1550698320.354 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550698320.354 * * [misc]simplify: iters left: 4 (5 enodes) 1550698320.357 * * [misc]simplify: iters left: 3 (19 enodes) 1550698320.364 * * [misc]simplify: iters left: 2 (27 enodes) 1550698320.372 * * [misc]simplify: iters left: 1 (32 enodes) 1550698320.380 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698320.380 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698320.380 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550698320.380 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550698320.380 * [exit]simplify: Simplified to (* (* PI n) 2) 1550698320.380 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1550698320.381 * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # 1550698320.381 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550698320.381 * * [misc]simplify: iters left: 4 (5 enodes) 1550698320.384 * * [misc]simplify: iters left: 3 (19 enodes) 1550698320.390 * * [misc]simplify: iters left: 2 (27 enodes) 1550698320.398 * * [misc]simplify: iters left: 1 (32 enodes) 1550698320.407 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698320.407 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698320.407 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550698320.407 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550698320.407 * [exit]simplify: Simplified to (* (* PI n) 2) 1550698320.407 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1550698320.408 * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # 1550698320.408 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550698320.408 * * [misc]simplify: iters left: 4 (5 enodes) 1550698320.411 * * [misc]simplify: iters left: 3 (19 enodes) 1550698320.417 * * [misc]simplify: iters left: 2 (27 enodes) 1550698320.425 * * [misc]simplify: iters left: 1 (32 enodes) 1550698320.433 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698320.433 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698320.434 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550698320.434 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550698320.434 * [exit]simplify: Simplified to (* (* PI n) 2) 1550698320.434 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1550698320.434 * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # 1550698320.435 * [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)))))))))))))))))))))) 1550698320.435 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698320.435 * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # 1550698320.436 * [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)))))))) 1550698320.436 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698320.436 * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # 1550698320.436 * [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))))))))))) 1550698320.436 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698320.437 * * * [misc]progress: adding candidates to table 1550698322.052 * * [misc]progress: iteration 2 / 4 1550698322.053 * * * [misc]progress: picking best candidate 1550698322.232 * * * * [misc]pick: Picked # 1550698322.235 * * * [misc]progress: localizing error 1550698322.301 * * * [misc]progress: generating rewritten candidates 1550698322.302 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1550698322.309 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1550698322.316 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1550698322.336 * * * [misc]progress: generating series expansions 1550698322.336 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1550698322.337 * [misc]backup-simplify: Simplify (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) into (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) 1550698322.337 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in (n k) around 0 1550698322.337 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in k 1550698322.337 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in k 1550698322.337 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in k 1550698322.337 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698322.337 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698322.337 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698322.337 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698322.337 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.337 * [misc]taylor: Taking taylor expansion of k in k 1550698322.337 * [misc]backup-simplify: Simplify 0 into 0 1550698322.337 * [misc]backup-simplify: Simplify 1 into 1 1550698322.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.337 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1550698322.337 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1550698322.337 * [misc]taylor: Taking taylor expansion of 2 in k 1550698322.337 * [misc]backup-simplify: Simplify 2 into 2 1550698322.337 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550698322.337 * [misc]taylor: Taking taylor expansion of n in k 1550698322.337 * [misc]backup-simplify: Simplify n into n 1550698322.337 * [misc]taylor: Taking taylor expansion of PI in k 1550698322.337 * [misc]backup-simplify: Simplify PI into PI 1550698322.337 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550698322.337 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1550698322.338 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1550698322.338 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698322.338 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698322.338 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1550698322.338 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1550698322.338 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in n 1550698322.338 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in n 1550698322.338 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in n 1550698322.338 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698322.338 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698322.338 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698322.338 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698322.339 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.339 * [misc]taylor: Taking taylor expansion of k in n 1550698322.339 * [misc]backup-simplify: Simplify k into k 1550698322.339 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698322.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.339 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550698322.339 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698322.339 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.339 * [misc]backup-simplify: Simplify 2 into 2 1550698322.339 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698322.339 * [misc]taylor: Taking taylor expansion of n in n 1550698322.339 * [misc]backup-simplify: Simplify 0 into 0 1550698322.339 * [misc]backup-simplify: Simplify 1 into 1 1550698322.339 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.339 * [misc]backup-simplify: Simplify PI into PI 1550698322.339 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698322.339 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698322.340 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698322.341 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698322.341 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698322.341 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698322.341 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698322.342 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.343 * [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)))) 1550698322.343 * [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))))) 1550698322.343 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in n 1550698322.343 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in n 1550698322.343 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in n 1550698322.343 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698322.343 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698322.343 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698322.344 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698322.344 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.344 * [misc]taylor: Taking taylor expansion of k in n 1550698322.344 * [misc]backup-simplify: Simplify k into k 1550698322.344 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698322.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.344 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550698322.344 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698322.344 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.344 * [misc]backup-simplify: Simplify 2 into 2 1550698322.344 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698322.344 * [misc]taylor: Taking taylor expansion of n in n 1550698322.344 * [misc]backup-simplify: Simplify 0 into 0 1550698322.344 * [misc]backup-simplify: Simplify 1 into 1 1550698322.344 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.344 * [misc]backup-simplify: Simplify PI into PI 1550698322.345 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698322.345 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698322.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698322.346 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698322.347 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698322.347 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698322.347 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698322.347 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.348 * [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)))) 1550698322.349 * [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))))) 1550698322.349 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1550698322.349 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1550698322.349 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550698322.349 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.349 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550698322.349 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.349 * [misc]taylor: Taking taylor expansion of k in k 1550698322.349 * [misc]backup-simplify: Simplify 0 into 0 1550698322.349 * [misc]backup-simplify: Simplify 1 into 1 1550698322.349 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1550698322.349 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698322.349 * [misc]taylor: Taking taylor expansion of n in k 1550698322.349 * [misc]backup-simplify: Simplify n into n 1550698322.349 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698322.349 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550698322.349 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550698322.349 * [misc]taylor: Taking taylor expansion of 2 in k 1550698322.349 * [misc]backup-simplify: Simplify 2 into 2 1550698322.350 * [misc]taylor: Taking taylor expansion of PI in k 1550698322.350 * [misc]backup-simplify: Simplify PI into PI 1550698322.384 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698322.385 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698322.385 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550698322.385 * [misc]backup-simplify: Simplify (- 0) into 0 1550698322.386 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698322.386 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.387 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1550698322.387 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550698322.397 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550698322.399 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698322.400 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550698322.403 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698322.404 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1550698322.404 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.417 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.418 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1550698322.420 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698322.420 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.420 * [misc]backup-simplify: Simplify 0 into 0 1550698322.420 * [misc]backup-simplify: Simplify 0 into 0 1550698322.425 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550698322.425 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698322.428 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698322.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.433 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550698322.433 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698322.433 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698322.434 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1550698322.435 * [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))))))) 1550698322.441 * [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))))))) 1550698322.443 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698322.444 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550698322.458 * [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 1550698322.458 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550698322.458 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.459 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.460 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550698322.466 * [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 1550698322.466 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.466 * [misc]backup-simplify: Simplify 0 into 0 1550698322.466 * [misc]backup-simplify: Simplify 0 into 0 1550698322.466 * [misc]backup-simplify: Simplify 0 into 0 1550698322.468 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550698322.473 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698322.483 * [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 1550698322.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.483 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698322.483 * [misc]backup-simplify: Simplify (- 0) into 0 1550698322.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550698322.491 * [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))))) 1550698322.493 * [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))))) 1550698322.506 * [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))))) 1550698322.507 * [misc]backup-simplify: Simplify (pow (/ (* -2 PI) (/ -1 (/ 1 n))) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) 1550698322.507 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1550698322.507 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in k 1550698322.507 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in k 1550698322.507 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in k 1550698322.507 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698322.520 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698322.520 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698322.520 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698322.521 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698322.521 * [misc]taylor: Taking taylor expansion of k in k 1550698322.521 * [misc]backup-simplify: Simplify 0 into 0 1550698322.521 * [misc]backup-simplify: Simplify 1 into 1 1550698322.521 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698322.521 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.521 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1550698322.521 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1550698322.521 * [misc]taylor: Taking taylor expansion of 2 in k 1550698322.521 * [misc]backup-simplify: Simplify 2 into 2 1550698322.521 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698322.521 * [misc]taylor: Taking taylor expansion of PI in k 1550698322.521 * [misc]backup-simplify: Simplify PI into PI 1550698322.521 * [misc]taylor: Taking taylor expansion of n in k 1550698322.521 * [misc]backup-simplify: Simplify n into n 1550698322.521 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698322.522 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1550698322.522 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1550698322.522 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698322.522 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698322.522 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1550698322.522 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) 1550698322.522 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in n 1550698322.522 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in n 1550698322.522 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in n 1550698322.523 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698322.523 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698322.523 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698322.523 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698322.523 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.523 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698322.523 * [misc]taylor: Taking taylor expansion of k in n 1550698322.523 * [misc]backup-simplify: Simplify k into k 1550698322.523 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698322.523 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698322.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.523 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550698322.523 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698322.523 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.523 * [misc]backup-simplify: Simplify 2 into 2 1550698322.523 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698322.523 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.523 * [misc]backup-simplify: Simplify PI into PI 1550698322.523 * [misc]taylor: Taking taylor expansion of n in n 1550698322.523 * [misc]backup-simplify: Simplify 0 into 0 1550698322.523 * [misc]backup-simplify: Simplify 1 into 1 1550698322.524 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698322.524 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698322.525 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698322.526 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698322.526 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698322.526 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698322.527 * [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))) 1550698322.528 * [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)))) 1550698322.528 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in n 1550698322.528 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in n 1550698322.528 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in n 1550698322.528 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698322.528 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698322.528 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698322.528 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698322.528 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.528 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698322.528 * [misc]taylor: Taking taylor expansion of k in n 1550698322.528 * [misc]backup-simplify: Simplify k into k 1550698322.529 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698322.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698322.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.529 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550698322.529 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698322.529 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.529 * [misc]backup-simplify: Simplify 2 into 2 1550698322.529 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698322.529 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.529 * [misc]backup-simplify: Simplify PI into PI 1550698322.529 * [misc]taylor: Taking taylor expansion of n in n 1550698322.529 * [misc]backup-simplify: Simplify 0 into 0 1550698322.529 * [misc]backup-simplify: Simplify 1 into 1 1550698322.529 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698322.530 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698322.530 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698322.530 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698322.530 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698322.531 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698322.532 * [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))) 1550698322.532 * [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)))) 1550698322.532 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1550698322.532 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1550698322.532 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550698322.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.533 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698322.533 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698322.533 * [misc]taylor: Taking taylor expansion of k in k 1550698322.533 * [misc]backup-simplify: Simplify 0 into 0 1550698322.533 * [misc]backup-simplify: Simplify 1 into 1 1550698322.533 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698322.533 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1550698322.533 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550698322.533 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550698322.533 * [misc]taylor: Taking taylor expansion of 2 in k 1550698322.533 * [misc]backup-simplify: Simplify 2 into 2 1550698322.533 * [misc]taylor: Taking taylor expansion of PI in k 1550698322.533 * [misc]backup-simplify: Simplify PI into PI 1550698322.533 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698322.534 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698322.534 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698322.534 * [misc]taylor: Taking taylor expansion of n in k 1550698322.534 * [misc]backup-simplify: Simplify n into n 1550698322.534 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698322.534 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698322.534 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698322.534 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698322.535 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698322.535 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1550698322.536 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1550698322.536 * [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)))) 1550698322.537 * [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)))) 1550698322.538 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698322.539 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698322.541 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698322.541 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698322.542 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698322.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.543 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698322.543 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1550698322.545 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698322.545 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.545 * [misc]backup-simplify: Simplify 0 into 0 1550698322.545 * [misc]backup-simplify: Simplify 0 into 0 1550698322.545 * [misc]backup-simplify: Simplify 0 into 0 1550698322.546 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.548 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698322.553 * [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 1550698322.553 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698322.553 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550698322.553 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698322.555 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1550698322.557 * [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 1550698322.557 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.557 * [misc]backup-simplify: Simplify 0 into 0 1550698322.557 * [misc]backup-simplify: Simplify 0 into 0 1550698322.557 * [misc]backup-simplify: Simplify 0 into 0 1550698322.557 * [misc]backup-simplify: Simplify 0 into 0 1550698322.559 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.561 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698322.568 * [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 1550698322.569 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698322.569 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550698322.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.570 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698322.571 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1550698322.575 * [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 1550698322.575 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.575 * [misc]backup-simplify: Simplify 0 into 0 1550698322.575 * [misc]backup-simplify: Simplify 0 into 0 1550698322.575 * [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))))) 1550698322.576 * [misc]backup-simplify: Simplify (pow (/ (* -2 PI) (/ -1 (/ 1 (- n)))) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) 1550698322.576 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1550698322.576 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in k 1550698322.576 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in k 1550698322.576 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in k 1550698322.576 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698322.576 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698322.576 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698322.576 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698322.576 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.576 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698322.576 * [misc]taylor: Taking taylor expansion of -1 in k 1550698322.576 * [misc]backup-simplify: Simplify -1 into -1 1550698322.576 * [misc]taylor: Taking taylor expansion of k in k 1550698322.576 * [misc]backup-simplify: Simplify 0 into 0 1550698322.577 * [misc]backup-simplify: Simplify 1 into 1 1550698322.577 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698322.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.577 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1550698322.577 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1550698322.577 * [misc]taylor: Taking taylor expansion of -2 in k 1550698322.577 * [misc]backup-simplify: Simplify -2 into -2 1550698322.577 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698322.577 * [misc]taylor: Taking taylor expansion of PI in k 1550698322.577 * [misc]backup-simplify: Simplify PI into PI 1550698322.577 * [misc]taylor: Taking taylor expansion of n in k 1550698322.577 * [misc]backup-simplify: Simplify n into n 1550698322.577 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698322.577 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1550698322.577 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1550698322.577 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698322.578 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698322.578 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1550698322.578 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) 1550698322.578 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698322.578 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in n 1550698322.578 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in n 1550698322.578 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698322.578 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698322.578 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698322.578 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698322.578 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.578 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698322.578 * [misc]taylor: Taking taylor expansion of -1 in n 1550698322.578 * [misc]backup-simplify: Simplify -1 into -1 1550698322.578 * [misc]taylor: Taking taylor expansion of k in n 1550698322.578 * [misc]backup-simplify: Simplify k into k 1550698322.578 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698322.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698322.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.578 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550698322.579 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698322.579 * [misc]taylor: Taking taylor expansion of -2 in n 1550698322.579 * [misc]backup-simplify: Simplify -2 into -2 1550698322.579 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698322.579 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.579 * [misc]backup-simplify: Simplify PI into PI 1550698322.579 * [misc]taylor: Taking taylor expansion of n in n 1550698322.579 * [misc]backup-simplify: Simplify 0 into 0 1550698322.579 * [misc]backup-simplify: Simplify 1 into 1 1550698322.579 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698322.579 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698322.580 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698322.580 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698322.580 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698322.581 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698322.581 * [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))) 1550698322.582 * [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)))) 1550698322.582 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698322.582 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in n 1550698322.582 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in n 1550698322.582 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698322.582 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698322.582 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698322.582 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698322.582 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.582 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698322.582 * [misc]taylor: Taking taylor expansion of -1 in n 1550698322.582 * [misc]backup-simplify: Simplify -1 into -1 1550698322.582 * [misc]taylor: Taking taylor expansion of k in n 1550698322.582 * [misc]backup-simplify: Simplify k into k 1550698322.582 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698322.582 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698322.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.583 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550698322.583 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698322.583 * [misc]taylor: Taking taylor expansion of -2 in n 1550698322.583 * [misc]backup-simplify: Simplify -2 into -2 1550698322.583 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698322.583 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.583 * [misc]backup-simplify: Simplify PI into PI 1550698322.583 * [misc]taylor: Taking taylor expansion of n in n 1550698322.583 * [misc]backup-simplify: Simplify 0 into 0 1550698322.583 * [misc]backup-simplify: Simplify 1 into 1 1550698322.583 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698322.583 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698322.584 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698322.584 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698322.584 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698322.586 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698322.586 * [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))) 1550698322.587 * [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)))) 1550698322.587 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1550698322.587 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1550698322.587 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550698322.587 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698322.587 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.587 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698322.587 * [misc]taylor: Taking taylor expansion of k in k 1550698322.587 * [misc]backup-simplify: Simplify 0 into 0 1550698322.587 * [misc]backup-simplify: Simplify 1 into 1 1550698322.587 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698322.587 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.588 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1550698322.588 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1550698322.588 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1550698322.588 * [misc]taylor: Taking taylor expansion of -2 in k 1550698322.588 * [misc]backup-simplify: Simplify -2 into -2 1550698322.588 * [misc]taylor: Taking taylor expansion of PI in k 1550698322.588 * [misc]backup-simplify: Simplify PI into PI 1550698322.588 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698322.589 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698322.589 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698322.589 * [misc]taylor: Taking taylor expansion of n in k 1550698322.589 * [misc]backup-simplify: Simplify n into n 1550698322.589 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698322.589 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698322.589 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698322.589 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698322.590 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1550698322.596 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1550698322.597 * [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)))) 1550698322.597 * [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)))) 1550698322.599 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698322.599 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550698322.606 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1550698322.606 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698322.607 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698322.607 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.607 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698322.608 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1550698322.610 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698322.610 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.610 * [misc]backup-simplify: Simplify 0 into 0 1550698322.610 * [misc]backup-simplify: Simplify 0 into 0 1550698322.610 * [misc]backup-simplify: Simplify 0 into 0 1550698322.611 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.612 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698322.617 * [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 1550698322.618 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698322.618 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1550698322.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698322.620 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1550698322.623 * [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 1550698322.623 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.623 * [misc]backup-simplify: Simplify 0 into 0 1550698322.623 * [misc]backup-simplify: Simplify 0 into 0 1550698322.623 * [misc]backup-simplify: Simplify 0 into 0 1550698322.623 * [misc]backup-simplify: Simplify 0 into 0 1550698322.624 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.626 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698322.644 * [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 1550698322.644 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698322.644 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1550698322.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.645 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698322.647 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1550698322.658 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1550698322.658 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.658 * [misc]backup-simplify: Simplify 0 into 0 1550698322.658 * [misc]backup-simplify: Simplify 0 into 0 1550698322.659 * [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))))) 1550698322.659 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1550698322.659 * [misc]backup-simplify: Simplify (/ (* -2 PI) (/ -1 n)) into (* 2 (* n PI)) 1550698322.659 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1550698322.660 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698322.660 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.660 * [misc]backup-simplify: Simplify 2 into 2 1550698322.660 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698322.660 * [misc]taylor: Taking taylor expansion of n in n 1550698322.660 * [misc]backup-simplify: Simplify 0 into 0 1550698322.660 * [misc]backup-simplify: Simplify 1 into 1 1550698322.660 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.660 * [misc]backup-simplify: Simplify PI into PI 1550698322.660 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698322.660 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.660 * [misc]backup-simplify: Simplify 2 into 2 1550698322.660 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698322.660 * [misc]taylor: Taking taylor expansion of n in n 1550698322.660 * [misc]backup-simplify: Simplify 0 into 0 1550698322.660 * [misc]backup-simplify: Simplify 1 into 1 1550698322.660 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.660 * [misc]backup-simplify: Simplify PI into PI 1550698322.660 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698322.660 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698322.660 * [misc]backup-simplify: Simplify 0 into 0 1550698322.661 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698322.661 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698322.662 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698322.662 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698322.663 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550698322.663 * [misc]backup-simplify: Simplify 0 into 0 1550698322.754 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698322.763 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550698322.763 * [misc]backup-simplify: Simplify 0 into 0 1550698322.769 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698322.771 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1550698322.771 * [misc]backup-simplify: Simplify 0 into 0 1550698322.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550698322.788 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1550698322.788 * [misc]backup-simplify: Simplify 0 into 0 1550698322.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550698322.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1550698322.807 * [misc]backup-simplify: Simplify 0 into 0 1550698322.816 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1550698322.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1550698322.826 * [misc]backup-simplify: Simplify 0 into 0 1550698322.827 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1550698322.828 * [misc]backup-simplify: Simplify (/ (* -2 PI) (/ -1 (/ 1 n))) into (* 2 (/ PI n)) 1550698322.828 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1550698322.828 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698322.828 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.828 * [misc]backup-simplify: Simplify 2 into 2 1550698322.828 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698322.828 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.828 * [misc]backup-simplify: Simplify PI into PI 1550698322.828 * [misc]taylor: Taking taylor expansion of n in n 1550698322.828 * [misc]backup-simplify: Simplify 0 into 0 1550698322.828 * [misc]backup-simplify: Simplify 1 into 1 1550698322.828 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698322.828 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698322.828 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.828 * [misc]backup-simplify: Simplify 2 into 2 1550698322.828 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698322.828 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.828 * [misc]backup-simplify: Simplify PI into PI 1550698322.828 * [misc]taylor: Taking taylor expansion of n in n 1550698322.828 * [misc]backup-simplify: Simplify 0 into 0 1550698322.828 * [misc]backup-simplify: Simplify 1 into 1 1550698322.829 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698322.829 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698322.829 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698322.831 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698322.831 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698322.831 * [misc]backup-simplify: Simplify 0 into 0 1550698322.838 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698322.839 * [misc]backup-simplify: Simplify 0 into 0 1550698322.841 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698322.842 * [misc]backup-simplify: Simplify 0 into 0 1550698322.853 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.855 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698322.855 * [misc]backup-simplify: Simplify 0 into 0 1550698322.857 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.859 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550698322.859 * [misc]backup-simplify: Simplify 0 into 0 1550698322.861 * [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 1550698322.863 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550698322.863 * [misc]backup-simplify: Simplify 0 into 0 1550698322.864 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1550698322.864 * [misc]backup-simplify: Simplify (/ (* -2 PI) (/ -1 (/ 1 (- n)))) into (* -2 (/ PI n)) 1550698322.864 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1550698322.864 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698322.864 * [misc]taylor: Taking taylor expansion of -2 in n 1550698322.864 * [misc]backup-simplify: Simplify -2 into -2 1550698322.864 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698322.864 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.864 * [misc]backup-simplify: Simplify PI into PI 1550698322.864 * [misc]taylor: Taking taylor expansion of n in n 1550698322.864 * [misc]backup-simplify: Simplify 0 into 0 1550698322.864 * [misc]backup-simplify: Simplify 1 into 1 1550698322.864 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698322.864 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698322.865 * [misc]taylor: Taking taylor expansion of -2 in n 1550698322.865 * [misc]backup-simplify: Simplify -2 into -2 1550698322.865 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698322.865 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.865 * [misc]backup-simplify: Simplify PI into PI 1550698322.865 * [misc]taylor: Taking taylor expansion of n in n 1550698322.865 * [misc]backup-simplify: Simplify 0 into 0 1550698322.865 * [misc]backup-simplify: Simplify 1 into 1 1550698322.865 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698322.865 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698322.865 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698322.866 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698322.867 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550698322.867 * [misc]backup-simplify: Simplify 0 into 0 1550698322.868 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.869 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698322.869 * [misc]backup-simplify: Simplify 0 into 0 1550698322.871 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.872 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698322.872 * [misc]backup-simplify: Simplify 0 into 0 1550698322.874 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.876 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698322.876 * [misc]backup-simplify: Simplify 0 into 0 1550698322.878 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698322.881 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550698322.881 * [misc]backup-simplify: Simplify 0 into 0 1550698322.883 * [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 1550698322.886 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550698322.887 * [misc]backup-simplify: Simplify 0 into 0 1550698322.887 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1550698322.887 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1550698322.888 * [misc]backup-simplify: Simplify (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) 1550698322.888 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in (n k) around 0 1550698322.888 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in k 1550698322.888 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in k 1550698322.888 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in k 1550698322.888 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in k 1550698322.888 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698322.888 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698322.888 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698322.888 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698322.888 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.888 * [misc]taylor: Taking taylor expansion of k in k 1550698322.888 * [misc]backup-simplify: Simplify 0 into 0 1550698322.888 * [misc]backup-simplify: Simplify 1 into 1 1550698322.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.888 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1550698322.888 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1550698322.888 * [misc]taylor: Taking taylor expansion of 2 in k 1550698322.888 * [misc]backup-simplify: Simplify 2 into 2 1550698322.888 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550698322.888 * [misc]taylor: Taking taylor expansion of n in k 1550698322.888 * [misc]backup-simplify: Simplify n into n 1550698322.888 * [misc]taylor: Taking taylor expansion of PI in k 1550698322.888 * [misc]backup-simplify: Simplify PI into PI 1550698322.888 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550698322.889 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1550698322.889 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1550698322.889 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698322.889 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698322.889 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1550698322.889 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1550698322.889 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698322.889 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698322.889 * [misc]taylor: Taking taylor expansion of k in k 1550698322.889 * [misc]backup-simplify: Simplify 0 into 0 1550698322.889 * [misc]backup-simplify: Simplify 1 into 1 1550698322.890 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698322.890 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698322.890 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698322.890 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n 1550698322.890 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in n 1550698322.890 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in n 1550698322.890 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in n 1550698322.890 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698322.890 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698322.890 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698322.890 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698322.890 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.890 * [misc]taylor: Taking taylor expansion of k in n 1550698322.891 * [misc]backup-simplify: Simplify k into k 1550698322.891 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698322.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.891 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550698322.891 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698322.891 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.891 * [misc]backup-simplify: Simplify 2 into 2 1550698322.891 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698322.891 * [misc]taylor: Taking taylor expansion of n in n 1550698322.891 * [misc]backup-simplify: Simplify 0 into 0 1550698322.891 * [misc]backup-simplify: Simplify 1 into 1 1550698322.891 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.891 * [misc]backup-simplify: Simplify PI into PI 1550698322.891 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698322.891 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698322.892 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698322.893 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698322.893 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698322.893 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698322.893 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698322.894 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.894 * [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)))) 1550698322.895 * [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))))) 1550698322.895 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550698322.895 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698322.895 * [misc]taylor: Taking taylor expansion of k in n 1550698322.895 * [misc]backup-simplify: Simplify k into k 1550698322.895 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698322.895 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550698322.895 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698322.896 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550698322.896 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n 1550698322.896 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (fma -1/2 k 1/2)) in n 1550698322.896 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 (* n PI))))) in n 1550698322.896 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 (* n PI)))) in n 1550698322.896 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698322.896 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698322.896 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698322.896 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698322.896 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698322.896 * [misc]taylor: Taking taylor expansion of k in n 1550698322.896 * [misc]backup-simplify: Simplify k into k 1550698322.896 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698322.896 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.896 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1550698322.896 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1550698322.896 * [misc]taylor: Taking taylor expansion of 2 in n 1550698322.896 * [misc]backup-simplify: Simplify 2 into 2 1550698322.896 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698322.896 * [misc]taylor: Taking taylor expansion of n in n 1550698322.896 * [misc]backup-simplify: Simplify 0 into 0 1550698322.896 * [misc]backup-simplify: Simplify 1 into 1 1550698322.896 * [misc]taylor: Taking taylor expansion of PI in n 1550698322.896 * [misc]backup-simplify: Simplify PI into PI 1550698322.896 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698322.897 * [misc]backup-simplify: Simplify (* 2 0) into 0 1550698322.897 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698322.898 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1550698322.898 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698322.898 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698322.899 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698322.899 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.900 * [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)))) 1550698322.900 * [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))))) 1550698322.900 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550698322.900 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698322.900 * [misc]taylor: Taking taylor expansion of k in n 1550698322.900 * [misc]backup-simplify: Simplify k into k 1550698322.901 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698322.901 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550698322.901 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698322.901 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550698322.902 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1550698322.902 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k 1550698322.902 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698322.902 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698322.902 * [misc]taylor: Taking taylor expansion of k in k 1550698322.902 * [misc]backup-simplify: Simplify 0 into 0 1550698322.902 * [misc]backup-simplify: Simplify 1 into 1 1550698322.902 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698322.902 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698322.903 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698322.903 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1550698322.903 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1550698322.903 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550698322.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.903 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550698322.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698322.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698322.903 * [misc]taylor: Taking taylor expansion of k in k 1550698322.903 * [misc]backup-simplify: Simplify 0 into 0 1550698322.903 * [misc]backup-simplify: Simplify 1 into 1 1550698322.903 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1550698322.903 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698322.903 * [misc]taylor: Taking taylor expansion of n in k 1550698322.903 * [misc]backup-simplify: Simplify n into n 1550698322.903 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698322.903 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550698322.903 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550698322.903 * [misc]taylor: Taking taylor expansion of 2 in k 1550698322.903 * [misc]backup-simplify: Simplify 2 into 2 1550698322.903 * [misc]taylor: Taking taylor expansion of PI in k 1550698322.903 * [misc]backup-simplify: Simplify PI into PI 1550698322.903 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698322.904 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698322.904 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550698322.905 * [misc]backup-simplify: Simplify (- 0) into 0 1550698322.905 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698322.905 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.906 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1550698322.906 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1550698322.907 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into 0 1550698322.907 * [misc]backup-simplify: Simplify 0 into 0 1550698322.908 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698322.909 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1550698322.912 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698322.912 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1550698322.913 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.913 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.914 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1550698322.915 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698322.916 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1550698322.916 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.916 * [misc]backup-simplify: Simplify 0 into 0 1550698322.917 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550698322.918 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698322.920 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698322.921 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.921 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550698322.921 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698322.921 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698322.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1550698322.924 * [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))))))) 1550698322.926 * [misc]backup-simplify: Simplify (+ (* 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))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1550698322.926 * [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))))))) 1550698322.926 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698322.927 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1550698322.929 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698322.930 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1550698322.935 * [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 1550698322.936 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550698322.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.937 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.937 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550698322.940 * [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 1550698322.941 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1550698322.941 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.941 * [misc]backup-simplify: Simplify 0 into 0 1550698322.941 * [misc]backup-simplify: Simplify 0 into 0 1550698322.942 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550698322.944 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698322.949 * [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 1550698322.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698322.949 * [misc]backup-simplify: Simplify (- 0) into 0 1550698322.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.950 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1550698322.953 * [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))))) 1550698322.953 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550698322.954 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698322.959 * [misc]backup-simplify: Simplify (+ (* 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 (* (+ (* 1/2 (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)))))))) into (- (+ (* +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))) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))) 1550698322.961 * [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))))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))) 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)))))))) 1550698322.962 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698322.962 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1550698322.964 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698322.967 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1550698322.976 * [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 1550698322.976 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1550698322.977 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.977 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1550698322.978 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1550698322.982 * [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 1550698322.986 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1550698322.986 * [misc]taylor: Taking taylor expansion of 0 in k 1550698322.986 * [misc]backup-simplify: Simplify 0 into 0 1550698322.986 * [misc]backup-simplify: Simplify 0 into 0 1550698322.986 * [misc]backup-simplify: Simplify 0 into 0 1550698322.989 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1550698322.990 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698322.998 * [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 1550698322.998 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698322.999 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698322.999 * [misc]backup-simplify: Simplify (- 0) into 0 1550698322.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698323.000 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1550698323.004 * [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))))))) 1550698323.004 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698323.006 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698323.014 * [misc]backup-simplify: Simplify (+ (* 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)))))))) (+ (* +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 (* (+ (* 1/2 (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))))))))) into (- (+ (* +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))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))))))))))))) 1550698323.023 * [misc]backup-simplify: Simplify (- (+ (* +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))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))))))))))))) into (- (+ (* +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))))) (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)))))) (- (+ (* +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))))) (log n)))))))))))))) 1550698323.035 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +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))))) (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)))))) (- (+ (* +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))))) (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)))))))))))))))))))))) 1550698323.036 * [misc]backup-simplify: Simplify (/ (pow (/ (* -2 PI) (/ -1 (/ 1 n))) (fma -1/2 (/ 1 k) 1/2)) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))) 1550698323.036 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))) in (n k) around 0 1550698323.036 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))) in k 1550698323.036 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698323.036 * [misc]taylor: Taking taylor expansion of k in k 1550698323.036 * [misc]backup-simplify: Simplify 0 into 0 1550698323.036 * [misc]backup-simplify: Simplify 1 into 1 1550698323.036 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698323.037 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698323.037 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in k 1550698323.037 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in k 1550698323.037 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in k 1550698323.037 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698323.037 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698323.037 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698323.037 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698323.037 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698323.037 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698323.037 * [misc]taylor: Taking taylor expansion of k in k 1550698323.037 * [misc]backup-simplify: Simplify 0 into 0 1550698323.037 * [misc]backup-simplify: Simplify 1 into 1 1550698323.037 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698323.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698323.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.037 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1550698323.037 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1550698323.037 * [misc]taylor: Taking taylor expansion of 2 in k 1550698323.037 * [misc]backup-simplify: Simplify 2 into 2 1550698323.037 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698323.038 * [misc]taylor: Taking taylor expansion of PI in k 1550698323.038 * [misc]backup-simplify: Simplify PI into PI 1550698323.038 * [misc]taylor: Taking taylor expansion of n in k 1550698323.038 * [misc]backup-simplify: Simplify n into n 1550698323.038 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698323.038 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1550698323.038 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1550698323.038 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698323.038 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698323.038 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1550698323.039 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) 1550698323.039 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))) in n 1550698323.039 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550698323.039 * [misc]taylor: Taking taylor expansion of k in n 1550698323.039 * [misc]backup-simplify: Simplify k into k 1550698323.039 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550698323.039 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550698323.039 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in n 1550698323.039 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in n 1550698323.039 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in n 1550698323.039 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698323.039 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698323.039 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698323.039 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698323.039 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698323.039 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698323.039 * [misc]taylor: Taking taylor expansion of k in n 1550698323.039 * [misc]backup-simplify: Simplify k into k 1550698323.039 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698323.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698323.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.039 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550698323.039 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698323.039 * [misc]taylor: Taking taylor expansion of 2 in n 1550698323.039 * [misc]backup-simplify: Simplify 2 into 2 1550698323.039 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698323.040 * [misc]taylor: Taking taylor expansion of PI in n 1550698323.040 * [misc]backup-simplify: Simplify PI into PI 1550698323.040 * [misc]taylor: Taking taylor expansion of n in n 1550698323.040 * [misc]backup-simplify: Simplify 0 into 0 1550698323.040 * [misc]backup-simplify: Simplify 1 into 1 1550698323.040 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698323.040 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698323.041 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698323.041 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698323.041 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698323.042 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698323.042 * [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))) 1550698323.043 * [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)))) 1550698323.043 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2))) in n 1550698323.043 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550698323.043 * [misc]taylor: Taking taylor expansion of k in n 1550698323.043 * [misc]backup-simplify: Simplify k into k 1550698323.043 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550698323.043 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550698323.043 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (fma -1/2 (/ 1 k) 1/2)) in n 1550698323.043 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n))))) in n 1550698323.043 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 (/ PI n)))) in n 1550698323.043 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698323.044 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698323.044 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698323.044 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698323.044 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698323.044 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698323.044 * [misc]taylor: Taking taylor expansion of k in n 1550698323.044 * [misc]backup-simplify: Simplify k into k 1550698323.044 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698323.044 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698323.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.044 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1550698323.044 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1550698323.044 * [misc]taylor: Taking taylor expansion of 2 in n 1550698323.044 * [misc]backup-simplify: Simplify 2 into 2 1550698323.044 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698323.044 * [misc]taylor: Taking taylor expansion of PI in n 1550698323.044 * [misc]backup-simplify: Simplify PI into PI 1550698323.044 * [misc]taylor: Taking taylor expansion of n in n 1550698323.044 * [misc]backup-simplify: Simplify 0 into 0 1550698323.044 * [misc]backup-simplify: Simplify 1 into 1 1550698323.045 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698323.045 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698323.045 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698323.045 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698323.046 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698323.046 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698323.047 * [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))) 1550698323.048 * [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)))) 1550698323.048 * [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)) 1550698323.048 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1550698323.049 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1550698323.049 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1550698323.049 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550698323.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698323.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.049 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698323.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698323.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.049 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698323.049 * [misc]taylor: Taking taylor expansion of k in k 1550698323.049 * [misc]backup-simplify: Simplify 0 into 0 1550698323.049 * [misc]backup-simplify: Simplify 1 into 1 1550698323.049 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698323.049 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1550698323.049 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1550698323.049 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1550698323.049 * [misc]taylor: Taking taylor expansion of 2 in k 1550698323.049 * [misc]backup-simplify: Simplify 2 into 2 1550698323.049 * [misc]taylor: Taking taylor expansion of PI in k 1550698323.049 * [misc]backup-simplify: Simplify PI into PI 1550698323.050 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1550698323.050 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1550698323.050 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698323.050 * [misc]taylor: Taking taylor expansion of n in k 1550698323.050 * [misc]backup-simplify: Simplify n into n 1550698323.050 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698323.050 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698323.051 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698323.051 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698323.051 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698323.051 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1550698323.052 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1550698323.052 * [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)))) 1550698323.053 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698323.053 * [misc]taylor: Taking taylor expansion of k in k 1550698323.053 * [misc]backup-simplify: Simplify 0 into 0 1550698323.053 * [misc]backup-simplify: Simplify 1 into 1 1550698323.053 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698323.053 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698323.054 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1550698323.054 * [misc]backup-simplify: Simplify 0 into 0 1550698323.055 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698323.056 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1550698323.058 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1550698323.059 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698323.059 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698323.059 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698323.060 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698323.060 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1550698323.062 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698323.063 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1550698323.063 * [misc]taylor: Taking taylor expansion of 0 in k 1550698323.063 * [misc]backup-simplify: Simplify 0 into 0 1550698323.063 * [misc]backup-simplify: Simplify 0 into 0 1550698323.064 * [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)))))) 1550698323.065 * [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)))))) 1550698323.066 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698323.067 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698323.072 * [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 1550698323.073 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698323.073 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550698323.073 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698323.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698323.075 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1550698323.077 * [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 1550698323.078 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1550698323.079 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1550698323.079 * [misc]taylor: Taking taylor expansion of 0 in k 1550698323.079 * [misc]backup-simplify: Simplify 0 into 0 1550698323.079 * [misc]backup-simplify: Simplify 0 into 0 1550698323.079 * [misc]backup-simplify: Simplify 0 into 0 1550698323.080 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698323.081 * [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)))))) 1550698323.082 * [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)))))) 1550698323.084 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698323.085 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698323.093 * [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 1550698323.094 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698323.094 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550698323.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698323.095 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1550698323.096 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1550698323.100 * [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 1550698323.100 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1550698323.101 * [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 1550698323.101 * [misc]taylor: Taking taylor expansion of 0 in k 1550698323.101 * [misc]backup-simplify: Simplify 0 into 0 1550698323.101 * [misc]backup-simplify: Simplify 0 into 0 1550698323.101 * [misc]backup-simplify: Simplify 0 into 0 1550698323.102 * [misc]backup-simplify: Simplify 0 into 0 1550698323.103 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698323.104 * [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)))))) 1550698323.104 * [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)))))) 1550698323.107 * [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)))))))) 1550698323.108 * [misc]backup-simplify: Simplify (/ (pow (/ (* -2 PI) (/ -1 (/ 1 (- n)))) (fma -1/2 (/ 1 (- k)) 1/2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) 1550698323.108 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1550698323.108 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in k 1550698323.108 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in k 1550698323.108 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in k 1550698323.108 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in k 1550698323.108 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698323.108 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698323.108 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698323.108 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698323.108 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698323.108 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698323.108 * [misc]taylor: Taking taylor expansion of -1 in k 1550698323.108 * [misc]backup-simplify: Simplify -1 into -1 1550698323.108 * [misc]taylor: Taking taylor expansion of k in k 1550698323.108 * [misc]backup-simplify: Simplify 0 into 0 1550698323.108 * [misc]backup-simplify: Simplify 1 into 1 1550698323.109 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698323.109 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698323.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.109 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1550698323.109 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1550698323.109 * [misc]taylor: Taking taylor expansion of -2 in k 1550698323.109 * [misc]backup-simplify: Simplify -2 into -2 1550698323.109 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698323.109 * [misc]taylor: Taking taylor expansion of PI in k 1550698323.109 * [misc]backup-simplify: Simplify PI into PI 1550698323.109 * [misc]taylor: Taking taylor expansion of n in k 1550698323.109 * [misc]backup-simplify: Simplify n into n 1550698323.109 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698323.109 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1550698323.109 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1550698323.109 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698323.110 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698323.110 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1550698323.110 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) 1550698323.110 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698323.110 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698323.110 * [misc]taylor: Taking taylor expansion of -1 in k 1550698323.110 * [misc]backup-simplify: Simplify -1 into -1 1550698323.110 * [misc]taylor: Taking taylor expansion of k in k 1550698323.110 * [misc]backup-simplify: Simplify 0 into 0 1550698323.110 * [misc]backup-simplify: Simplify 1 into 1 1550698323.110 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698323.110 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698323.111 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698323.111 * [misc]backup-simplify: Simplify (/ (exp (* (log (* -2 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (fma -1/2 (/ -1 k) 1/2)))) 1550698323.111 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n 1550698323.111 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698323.111 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in n 1550698323.111 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in n 1550698323.111 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698323.111 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698323.111 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698323.111 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698323.111 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698323.112 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698323.112 * [misc]taylor: Taking taylor expansion of -1 in n 1550698323.112 * [misc]backup-simplify: Simplify -1 into -1 1550698323.112 * [misc]taylor: Taking taylor expansion of k in n 1550698323.112 * [misc]backup-simplify: Simplify k into k 1550698323.112 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698323.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698323.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.112 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550698323.112 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698323.112 * [misc]taylor: Taking taylor expansion of -2 in n 1550698323.112 * [misc]backup-simplify: Simplify -2 into -2 1550698323.112 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698323.112 * [misc]taylor: Taking taylor expansion of PI in n 1550698323.112 * [misc]backup-simplify: Simplify PI into PI 1550698323.112 * [misc]taylor: Taking taylor expansion of n in n 1550698323.112 * [misc]backup-simplify: Simplify 0 into 0 1550698323.112 * [misc]backup-simplify: Simplify 1 into 1 1550698323.112 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698323.113 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698323.113 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698323.113 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698323.113 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698323.114 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698323.115 * [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))) 1550698323.115 * [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)))) 1550698323.115 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550698323.115 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698323.115 * [misc]taylor: Taking taylor expansion of -1 in n 1550698323.116 * [misc]backup-simplify: Simplify -1 into -1 1550698323.116 * [misc]taylor: Taking taylor expansion of k in n 1550698323.116 * [misc]backup-simplify: Simplify k into k 1550698323.116 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698323.116 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550698323.116 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698323.116 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550698323.117 * [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))) 1550698323.117 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n 1550698323.117 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698323.117 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n))))) in n 1550698323.117 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -2 (/ PI n)))) in n 1550698323.117 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698323.117 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698323.117 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698323.117 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698323.117 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698323.117 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698323.117 * [misc]taylor: Taking taylor expansion of -1 in n 1550698323.117 * [misc]backup-simplify: Simplify -1 into -1 1550698323.117 * [misc]taylor: Taking taylor expansion of k in n 1550698323.117 * [misc]backup-simplify: Simplify k into k 1550698323.117 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698323.117 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698323.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.117 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1550698323.117 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1550698323.117 * [misc]taylor: Taking taylor expansion of -2 in n 1550698323.117 * [misc]backup-simplify: Simplify -2 into -2 1550698323.117 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698323.118 * [misc]taylor: Taking taylor expansion of PI in n 1550698323.118 * [misc]backup-simplify: Simplify PI into PI 1550698323.118 * [misc]taylor: Taking taylor expansion of n in n 1550698323.118 * [misc]backup-simplify: Simplify 0 into 0 1550698323.118 * [misc]backup-simplify: Simplify 1 into 1 1550698323.118 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698323.118 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698323.119 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698323.119 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698323.119 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698323.120 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698323.120 * [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))) 1550698323.121 * [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)))) 1550698323.121 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550698323.121 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698323.121 * [misc]taylor: Taking taylor expansion of -1 in n 1550698323.121 * [misc]backup-simplify: Simplify -1 into -1 1550698323.121 * [misc]taylor: Taking taylor expansion of k in n 1550698323.121 * [misc]backup-simplify: Simplify k into k 1550698323.121 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698323.121 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550698323.121 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698323.122 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550698323.122 * [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))) 1550698323.123 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1550698323.123 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1550698323.123 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1550698323.123 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550698323.123 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698323.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698323.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.123 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698323.123 * [misc]taylor: Taking taylor expansion of k in k 1550698323.123 * [misc]backup-simplify: Simplify 0 into 0 1550698323.123 * [misc]backup-simplify: Simplify 1 into 1 1550698323.123 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698323.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698323.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698323.123 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1550698323.123 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1550698323.123 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1550698323.123 * [misc]taylor: Taking taylor expansion of -2 in k 1550698323.123 * [misc]backup-simplify: Simplify -2 into -2 1550698323.123 * [misc]taylor: Taking taylor expansion of PI in k 1550698323.123 * [misc]backup-simplify: Simplify PI into PI 1550698323.124 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1550698323.124 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1550698323.124 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698323.124 * [misc]taylor: Taking taylor expansion of n in k 1550698323.124 * [misc]backup-simplify: Simplify n into n 1550698323.124 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698323.124 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698323.125 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698323.125 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698323.125 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1550698323.126 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1550698323.126 * [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)))) 1550698323.126 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698323.127 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698323.127 * [misc]taylor: Taking taylor expansion of -1 in k 1550698323.127 * [misc]backup-simplify: Simplify -1 into -1 1550698323.127 * [misc]taylor: Taking taylor expansion of k in k 1550698323.127 * [misc]backup-simplify: Simplify 0 into 0 1550698323.127 * [misc]backup-simplify: Simplify 1 into 1 1550698323.127 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698323.127 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698323.127 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698323.128 * [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))))) 1550698323.129 * [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))))) 1550698323.130 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698323.131 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1550698323.134 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1550698323.134 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698323.134 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698323.134 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698323.135 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698323.136 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1550698323.137 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698323.138 * [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 1550698323.138 * [misc]taylor: Taking taylor expansion of 0 in k 1550698323.138 * [misc]backup-simplify: Simplify 0 into 0 1550698323.138 * [misc]backup-simplify: Simplify 0 into 0 1550698323.139 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550698323.140 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698323.141 * [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)))))) 1550698323.142 * [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)))))) 1550698323.144 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698323.146 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1550698323.151 * [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 1550698323.151 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698323.151 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1550698323.152 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698323.152 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1550698323.153 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1550698323.155 * [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 1550698323.156 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698323.156 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1550698323.157 * [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 1550698323.157 * [misc]taylor: Taking taylor expansion of 0 in k 1550698323.158 * [misc]backup-simplify: Simplify 0 into 0 1550698323.158 * [misc]backup-simplify: Simplify 0 into 0 1550698323.158 * [misc]backup-simplify: Simplify 0 into 0 1550698323.158 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698323.159 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698323.161 * [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)))))) 1550698323.162 * [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)))))) 1550698323.164 * [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))))))))))) 1550698323.165 * * * [misc]progress: simplifying candidates 1550698323.165 * * * * [misc]progress: [ 1 / 134 ] simplifiying candidate # 1550698323.165 * * * * [misc]progress: [ 2 / 134 ] simplifiying candidate # 1550698323.165 * * * * [misc]progress: [ 3 / 134 ] simplifiying candidate # 1550698323.165 * [enter]simplify: Simplifying (* (- (log (* -2 PI)) (log (/ -1 n))) (fma -1/2 k 1/2)) 1550698323.165 * * [misc]simplify: iters left: 6 (14 enodes) 1550698323.175 * * [misc]simplify: iters left: 5 (54 enodes) 1550698323.194 * * [misc]simplify: iters left: 4 (90 enodes) 1550698323.230 * * [misc]simplify: iters left: 3 (224 enodes) 1550698323.411 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698323.411 * * [misc]simplify: Extracting #1: cost 70 inf + 0 1550698323.412 * * [misc]simplify: Extracting #2: cost 194 inf + 3 1550698323.414 * * [misc]simplify: Extracting #3: cost 203 inf + 596 1550698323.417 * * [misc]simplify: Extracting #4: cost 154 inf + 8081 1550698323.429 * * [misc]simplify: Extracting #5: cost 39 inf + 37148 1550698323.446 * * [misc]simplify: Extracting #6: cost 1 inf + 49440 1550698323.466 * * [misc]simplify: Extracting #7: cost 0 inf + 49867 1550698323.483 * [exit]simplify: Simplified to (* (fma -1/2 k 1/2) (- (log (* -2 PI)) (log (/ -1 n)))) 1550698323.483 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma -1/2 k 1/2) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k))) 1550698323.483 * * * * [misc]progress: [ 4 / 134 ] simplifiying candidate # 1550698323.483 * [enter]simplify: Simplifying (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) 1550698323.484 * * [misc]simplify: iters left: 6 (13 enodes) 1550698323.491 * * [misc]simplify: iters left: 5 (50 enodes) 1550698323.509 * * [misc]simplify: iters left: 4 (94 enodes) 1550698323.539 * * [misc]simplify: iters left: 3 (215 enodes) 1550698323.635 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698323.635 * * [misc]simplify: Extracting #1: cost 42 inf + 0 1550698323.636 * * [misc]simplify: Extracting #2: cost 142 inf + 103 1550698323.637 * * [misc]simplify: Extracting #3: cost 181 inf + 274 1550698323.639 * * [misc]simplify: Extracting #4: cost 147 inf + 4364 1550698323.647 * * [misc]simplify: Extracting #5: cost 28 inf + 24032 1550698323.658 * * [misc]simplify: Extracting #6: cost 1 inf + 29057 1550698323.670 * * [misc]simplify: Extracting #7: cost 0 inf + 29143 1550698323.682 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log (* 2 (* PI n)))) 1550698323.682 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log (* 2 (* PI n))))) (sqrt k))) 1550698323.682 * * * * [misc]progress: [ 5 / 134 ] simplifiying candidate # 1550698323.682 * * * * [misc]progress: [ 6 / 134 ] simplifiying candidate # 1550698323.683 * [enter]simplify: Simplifying (/ (* -2 PI) (/ -1 n)) 1550698323.683 * * [misc]simplify: iters left: 4 (7 enodes) 1550698323.687 * * [misc]simplify: iters left: 3 (26 enodes) 1550698323.696 * * [misc]simplify: iters left: 2 (44 enodes) 1550698323.711 * * [misc]simplify: iters left: 1 (76 enodes) 1550698323.835 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698323.835 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1550698323.836 * * [misc]simplify: Extracting #2: cost 27 inf + 132 1550698323.836 * * [misc]simplify: Extracting #3: cost 1 inf + 1593 1550698323.837 * * [misc]simplify: Extracting #4: cost 0 inf + 1676 1550698323.838 * [exit]simplify: Simplified to (/ (* PI n) 1/2) 1550698323.838 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (/ (* PI n) 1/2) (* 1 (fma -1/2 k 1/2))) (sqrt k))) 1550698323.861 * * * * [misc]progress: [ 7 / 134 ] simplifiying candidate # 1550698323.862 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1550698323.862 * * [misc]simplify: iters left: 2 (5 enodes) 1550698323.865 * * [misc]simplify: iters left: 1 (17 enodes) 1550698323.886 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698323.886 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698323.886 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698323.886 * * [misc]simplify: Extracting #3: cost 6 inf + 3 1550698323.886 * * [misc]simplify: Extracting #4: cost 0 inf + 479 1550698323.886 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1550698323.886 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (sqrt k))) 1550698323.886 * * * * [misc]progress: [ 8 / 134 ] simplifiying candidate # 1550698323.887 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1550698323.887 * * [misc]simplify: iters left: 2 (5 enodes) 1550698323.890 * * [misc]simplify: iters left: 1 (17 enodes) 1550698323.911 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698323.911 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698323.911 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698323.911 * * [misc]simplify: Extracting #3: cost 6 inf + 3 1550698323.911 * * [misc]simplify: Extracting #4: cost 0 inf + 399 1550698323.912 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1550698323.912 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (sqrt k))) 1550698323.912 * * * * [misc]progress: [ 9 / 134 ] simplifiying candidate # 1550698323.912 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1550698323.913 * * [misc]simplify: iters left: 1 (4 enodes) 1550698323.915 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698323.915 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698323.915 * * [misc]simplify: Extracting #2: cost 3 inf + 3 1550698323.916 * * [misc]simplify: Extracting #3: cost 1 inf + 103 1550698323.916 * * [misc]simplify: Extracting #4: cost 0 inf + 161 1550698323.916 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1550698323.916 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) 1) (fma -1/2 k 1/2)) (sqrt k))) 1550698323.916 * * * * [misc]progress: [ 10 / 134 ] simplifiying candidate # 1550698323.916 * [enter]simplify: Simplifying (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1550698323.916 * * [misc]simplify: iters left: 5 (9 enodes) 1550698323.922 * * [misc]simplify: iters left: 4 (33 enodes) 1550698323.948 * * [misc]simplify: iters left: 3 (50 enodes) 1550698323.983 * * [misc]simplify: iters left: 2 (80 enodes) 1550698324.019 * * [misc]simplify: iters left: 1 (110 enodes) 1550698324.050 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.050 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698324.050 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1550698324.050 * * [misc]simplify: Extracting #3: cost 31 inf + 299 1550698324.051 * * [misc]simplify: Extracting #4: cost 2 inf + 2089 1550698324.052 * * [misc]simplify: Extracting #5: cost 0 inf + 2173 1550698324.053 * [exit]simplify: Simplified to (sqrt (/ (* PI n) 1/2)) 1550698324.054 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (sqrt (/ (* PI n) 1/2))) (sqrt k))) 1550698324.054 * * * * [misc]progress: [ 11 / 134 ] simplifiying candidate # 1550698324.054 * [enter]simplify: Simplifying (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) 1550698324.054 * * [misc]simplify: iters left: 6 (14 enodes) 1550698324.062 * * [misc]simplify: iters left: 5 (49 enodes) 1550698324.079 * * [misc]simplify: iters left: 4 (70 enodes) 1550698324.100 * * [misc]simplify: iters left: 3 (101 enodes) 1550698324.129 * * [misc]simplify: iters left: 2 (131 enodes) 1550698324.164 * * [misc]simplify: iters left: 1 (155 enodes) 1550698324.205 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.205 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698324.205 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550698324.206 * * [misc]simplify: Extracting #3: cost 9 inf + 103 1550698324.206 * * [misc]simplify: Extracting #4: cost 29 inf + 203 1550698324.208 * * [misc]simplify: Extracting #5: cost 34 inf + 459 1550698324.209 * * [misc]simplify: Extracting #6: cost 12 inf + 1829 1550698324.211 * * [misc]simplify: Extracting #7: cost 0 inf + 3635 1550698324.212 * [exit]simplify: Simplified to (pow (* (cbrt (/ n (/ 1/2 PI))) (cbrt (/ n (/ 1/2 PI)))) (fma -1/2 k 1/2)) 1550698324.212 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt (/ n (/ 1/2 PI))) (cbrt (/ n (/ 1/2 PI)))) (fma -1/2 k 1/2)) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k))) 1550698324.213 * * * * [misc]progress: [ 12 / 134 ] simplifiying candidate # 1550698324.213 * [enter]simplify: Simplifying (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) 1550698324.213 * * [misc]simplify: iters left: 6 (13 enodes) 1550698324.220 * * [misc]simplify: iters left: 5 (46 enodes) 1550698324.236 * * [misc]simplify: iters left: 4 (67 enodes) 1550698324.265 * * [misc]simplify: iters left: 3 (98 enodes) 1550698324.331 * * [misc]simplify: iters left: 2 (128 enodes) 1550698324.389 * * [misc]simplify: iters left: 1 (153 enodes) 1550698324.433 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.434 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698324.434 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550698324.434 * * [misc]simplify: Extracting #3: cost 30 inf + 61 1550698324.434 * * [misc]simplify: Extracting #4: cost 33 inf + 376 1550698324.435 * * [misc]simplify: Extracting #5: cost 6 inf + 1960 1550698324.437 * * [misc]simplify: Extracting #6: cost 0 inf + 2989 1550698324.438 * [exit]simplify: Simplified to (pow (sqrt (/ PI (/ 1/2 n))) (fma k -1/2 1/2)) 1550698324.438 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt (/ PI (/ 1/2 n))) (fma k -1/2 1/2)) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k))) 1550698324.439 * * * * [misc]progress: [ 13 / 134 ] simplifiying candidate # 1550698324.439 * [enter]simplify: Simplifying (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) 1550698324.439 * * [misc]simplify: iters left: 6 (12 enodes) 1550698324.446 * * [misc]simplify: iters left: 5 (40 enodes) 1550698324.459 * * [misc]simplify: iters left: 4 (46 enodes) 1550698324.473 * * [misc]simplify: iters left: 3 (47 enodes) 1550698324.487 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.487 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698324.487 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550698324.487 * * [misc]simplify: Extracting #3: cost 15 inf + 4 1550698324.487 * * [misc]simplify: Extracting #4: cost 16 inf + 104 1550698324.488 * * [misc]simplify: Extracting #5: cost 10 inf + 290 1550698324.488 * * [misc]simplify: Extracting #6: cost 4 inf + 1184 1550698324.489 * * [misc]simplify: Extracting #7: cost 1 inf + 2061 1550698324.489 * * [misc]simplify: Extracting #8: cost 0 inf + 2532 1550698324.490 * [exit]simplify: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2)) 1550698324.490 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2)) (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k))) 1550698324.490 * * * * [misc]progress: [ 14 / 134 ] simplifiying candidate # 1550698324.491 * [enter]simplify: Simplifying (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) 1550698324.491 * * [misc]simplify: iters left: 6 (11 enodes) 1550698324.497 * * [misc]simplify: iters left: 5 (35 enodes) 1550698324.508 * * [misc]simplify: iters left: 4 (39 enodes) 1550698324.521 * * [misc]simplify: iters left: 3 (40 enodes) 1550698324.533 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.533 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698324.533 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550698324.533 * * [misc]simplify: Extracting #3: cost 8 inf + 162 1550698324.533 * * [misc]simplify: Extracting #4: cost 10 inf + 204 1550698324.533 * * [misc]simplify: Extracting #5: cost 7 inf + 248 1550698324.534 * * [misc]simplify: Extracting #6: cost 4 inf + 495 1550698324.534 * * [misc]simplify: Extracting #7: cost 0 inf + 1482 1550698324.534 * [exit]simplify: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) 1550698324.534 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2))) (sqrt k))) 1550698324.535 * * * * [misc]progress: [ 15 / 134 ] simplifiying candidate # 1550698324.535 * [enter]simplify: Simplifying (pow (/ -2 1) (fma -1/2 k 1/2)) 1550698324.535 * * [misc]simplify: iters left: 3 (8 enodes) 1550698324.548 * * [misc]simplify: iters left: 2 (26 enodes) 1550698324.565 * * [misc]simplify: iters left: 1 (32 enodes) 1550698324.583 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.583 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698324.583 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698324.584 * * [misc]simplify: Extracting #3: cost 5 inf + 62 1550698324.584 * * [misc]simplify: Extracting #4: cost 1 inf + 473 1550698324.584 * * [misc]simplify: Extracting #5: cost 0 inf + 742 1550698324.584 * [exit]simplify: Simplified to (pow -2 (fma -1/2 k 1/2)) 1550698324.588 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow -2 (fma -1/2 k 1/2)) (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k))) 1550698324.589 * * * * [misc]progress: [ 16 / 134 ] simplifiying candidate # 1550698324.589 * [enter]simplify: Simplifying (pow (/ -2 -1) (fma -1/2 k 1/2)) 1550698324.589 * * [misc]simplify: iters left: 3 (8 enodes) 1550698324.604 * * [misc]simplify: iters left: 2 (27 enodes) 1550698324.618 * * [misc]simplify: iters left: 1 (31 enodes) 1550698324.628 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.629 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698324.629 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698324.629 * * [misc]simplify: Extracting #3: cost 5 inf + 62 1550698324.629 * * [misc]simplify: Extracting #4: cost 1 inf + 473 1550698324.629 * * [misc]simplify: Extracting #5: cost 0 inf + 742 1550698324.629 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1550698324.629 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2))) (sqrt k))) 1550698324.630 * * * * [misc]progress: [ 17 / 134 ] simplifiying candidate # 1550698324.630 * [enter]simplify: Simplifying (pow 1 (fma -1/2 k 1/2)) 1550698324.630 * * [misc]simplify: iters left: 2 (6 enodes) 1550698324.634 * * [misc]simplify: iters left: 1 (20 enodes) 1550698324.641 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.641 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698324.641 * [exit]simplify: Simplified to 1 1550698324.641 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k))) 1550698324.641 * * * * [misc]progress: [ 18 / 134 ] simplifiying candidate # 1550698324.641 * [enter]simplify: Simplifying (pow (* -2 PI) (fma -1/2 k 1/2)) 1550698324.641 * * [misc]simplify: iters left: 3 (8 enodes) 1550698324.646 * * [misc]simplify: iters left: 2 (27 enodes) 1550698324.655 * * [misc]simplify: iters left: 1 (31 enodes) 1550698324.665 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.665 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698324.665 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550698324.665 * * [misc]simplify: Extracting #3: cost 7 inf + 63 1550698324.665 * * [misc]simplify: Extracting #4: cost 1 inf + 599 1550698324.665 * * [misc]simplify: Extracting #5: cost 0 inf + 909 1550698324.666 * [exit]simplify: Simplified to (pow (* -2 PI) (fma -1/2 k 1/2)) 1550698324.666 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* -2 PI) (fma -1/2 k 1/2)) (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k))) 1550698324.666 * * * * [misc]progress: [ 19 / 134 ] simplifiying candidate # 1550698324.666 * [enter]simplify: Simplifying (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) 1550698324.666 * * [misc]simplify: iters left: 5 (10 enodes) 1550698324.672 * * [misc]simplify: iters left: 4 (35 enodes) 1550698324.685 * * [misc]simplify: iters left: 3 (46 enodes) 1550698324.698 * * [misc]simplify: iters left: 2 (49 enodes) 1550698324.712 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.712 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698324.712 * * [misc]simplify: Extracting #2: cost 16 inf + 0 1550698324.712 * * [misc]simplify: Extracting #3: cost 12 inf + 7 1550698324.713 * * [misc]simplify: Extracting #4: cost 2 inf + 995 1550698324.713 * * [misc]simplify: Extracting #5: cost 0 inf + 1079 1550698324.713 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1550698324.713 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1550698324.714 * * * * [misc]progress: [ 20 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 21 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 22 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 23 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 24 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 25 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 26 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 27 / 134 ] simplifiying candidate #real (real->posit16 (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt k)))> 1550698324.714 * * * * [misc]progress: [ 28 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 29 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 30 / 134 ] simplifiying candidate # 1550698324.714 * * * * [misc]progress: [ 31 / 134 ] simplifiying candidate # 1550698324.715 * [enter]simplify: Simplifying (- (log (* -2 PI)) (log (/ -1 n))) 1550698324.715 * * [misc]simplify: iters left: 5 (9 enodes) 1550698324.721 * * [misc]simplify: iters left: 4 (36 enodes) 1550698324.733 * * [misc]simplify: iters left: 3 (56 enodes) 1550698324.751 * * [misc]simplify: iters left: 2 (82 enodes) 1550698324.810 * * [misc]simplify: iters left: 1 (118 enodes) 1550698324.852 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698324.852 * * [misc]simplify: Extracting #1: cost 31 inf + 0 1550698324.852 * * [misc]simplify: Extracting #2: cost 57 inf + 0 1550698324.853 * * [misc]simplify: Extracting #3: cost 46 inf + 927 1550698324.855 * * [misc]simplify: Extracting #4: cost 7 inf + 7743 1550698324.859 * * [misc]simplify: Extracting #5: cost 0 inf + 9000 1550698324.862 * [exit]simplify: Simplified to (- (log (* -2 PI)) (log (/ -1 n))) 1550698324.862 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (- (log (* -2 PI)) (log (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k))) 1550698324.862 * * * * [misc]progress: [ 32 / 134 ] simplifiying candidate # 1550698324.862 * * * * [misc]progress: [ 33 / 134 ] simplifiying candidate # 1550698324.862 * * * * [misc]progress: [ 34 / 134 ] simplifiying candidate # 1550698324.863 * [enter]simplify: Simplifying (/ (* (* (* -2 PI) (* -2 PI)) (* -2 PI)) (* (* (/ -1 n) (/ -1 n)) (/ -1 n))) 1550698324.863 * * [misc]simplify: iters left: 6 (11 enodes) 1550698324.869 * * [misc]simplify: iters left: 5 (55 enodes) 1550698324.894 * * [misc]simplify: iters left: 4 (191 enodes) 1550698325.176 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.176 * * [misc]simplify: Extracting #1: cost 95 inf + 0 1550698325.179 * * [misc]simplify: Extracting #2: cost 263 inf + 1355 1550698325.190 * * [misc]simplify: Extracting #3: cost 99 inf + 30272 1550698325.237 * * [misc]simplify: Extracting #4: cost 0 inf + 46172 1550698325.259 * * [misc]simplify: Extracting #5: cost 0 inf + 44288 1550698325.282 * * [misc]simplify: Extracting #6: cost 0 inf + 43722 1550698325.304 * [exit]simplify: Simplified to (* (* (* n (/ PI 1/2)) (* n (/ PI 1/2))) (* n (/ PI 1/2))) 1550698325.304 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* n (/ PI 1/2)) (* n (/ PI 1/2))) (* n (/ PI 1/2)))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.305 * * * * [misc]progress: [ 35 / 134 ] simplifiying candidate # 1550698325.305 * * * * [misc]progress: [ 36 / 134 ] simplifiying candidate # 1550698325.305 * * * * [misc]progress: [ 37 / 134 ] simplifiying candidate # 1550698325.305 * * * * [misc]progress: [ 38 / 134 ] simplifiying candidate # 1550698325.305 * * * * [misc]progress: [ 39 / 134 ] simplifiying candidate # 1550698325.305 * [enter]simplify: Simplifying (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) 1550698325.305 * * [misc]simplify: iters left: 6 (7 enodes) 1550698325.310 * * [misc]simplify: iters left: 5 (23 enodes) 1550698325.317 * * [misc]simplify: iters left: 4 (25 enodes) 1550698325.324 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.324 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698325.325 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550698325.325 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1550698325.325 * * [misc]simplify: Extracting #4: cost 8 inf + 87 1550698325.325 * * [misc]simplify: Extracting #5: cost 4 inf + 656 1550698325.325 * * [misc]simplify: Extracting #6: cost 1 inf + 1184 1550698325.326 * * [misc]simplify: Extracting #7: cost 0 inf + 1387 1550698325.326 * [exit]simplify: Simplified to (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) 1550698325.326 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (/ PI (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.327 * [enter]simplify: Simplifying (/ PI (cbrt (/ -1 n))) 1550698325.327 * * [misc]simplify: iters left: 5 (6 enodes) 1550698325.330 * * [misc]simplify: iters left: 4 (18 enodes) 1550698325.336 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.336 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698325.336 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698325.336 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1550698325.336 * * [misc]simplify: Extracting #4: cost 0 inf + 657 1550698325.336 * [exit]simplify: Simplified to (/ PI (cbrt (/ -1 n))) 1550698325.336 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.336 * * * * [misc]progress: [ 40 / 134 ] simplifiying candidate # 1550698325.337 * [enter]simplify: Simplifying (/ -2 (sqrt (/ -1 n))) 1550698325.337 * * [misc]simplify: iters left: 5 (6 enodes) 1550698325.340 * * [misc]simplify: iters left: 4 (18 enodes) 1550698325.346 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.346 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698325.346 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698325.346 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1550698325.346 * * [misc]simplify: Extracting #4: cost 0 inf + 497 1550698325.347 * [exit]simplify: Simplified to (/ -2 (sqrt (/ -1 n))) 1550698325.347 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.347 * [enter]simplify: Simplifying (/ PI (sqrt (/ -1 n))) 1550698325.347 * * [misc]simplify: iters left: 5 (6 enodes) 1550698325.351 * * [misc]simplify: iters left: 4 (18 enodes) 1550698325.356 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.356 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698325.356 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698325.356 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1550698325.357 * * [misc]simplify: Extracting #4: cost 0 inf + 497 1550698325.357 * [exit]simplify: Simplified to (/ PI (sqrt (/ -1 n))) 1550698325.357 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.357 * * * * [misc]progress: [ 41 / 134 ] simplifiying candidate # 1550698325.357 * [enter]simplify: Simplifying (/ -2 1) 1550698325.357 * * [misc]simplify: iters left: 2 (3 enodes) 1550698325.360 * * [misc]simplify: iters left: 1 (9 enodes) 1550698325.363 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.363 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698325.363 * [exit]simplify: Simplified to -2 1550698325.363 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* -2 (/ PI (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.363 * [enter]simplify: Simplifying (/ PI (/ -1 n)) 1550698325.363 * * [misc]simplify: iters left: 4 (5 enodes) 1550698325.366 * * [misc]simplify: iters left: 3 (17 enodes) 1550698325.372 * * [misc]simplify: iters left: 2 (22 enodes) 1550698325.496 * * [misc]simplify: iters left: 1 (26 enodes) 1550698325.503 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.503 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698325.503 * * [misc]simplify: Extracting #2: cost 8 inf + 3 1550698325.504 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550698325.504 * [exit]simplify: Simplified to (/ PI (/ -1 n)) 1550698325.505 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* -2 (/ PI (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.505 * * * * [misc]progress: [ 42 / 134 ] simplifiying candidate # 1550698325.505 * [enter]simplify: Simplifying (/ -2 -1) 1550698325.505 * * [misc]simplify: iters left: 2 (3 enodes) 1550698325.536 * * [misc]simplify: iters left: 1 (10 enodes) 1550698325.539 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.539 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698325.539 * [exit]simplify: Simplified to 2 1550698325.539 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* 2 (/ PI (/ 1 n))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.540 * [enter]simplify: Simplifying (/ PI (/ 1 n)) 1550698325.540 * * [misc]simplify: iters left: 4 (5 enodes) 1550698325.542 * * [misc]simplify: iters left: 3 (19 enodes) 1550698325.548 * * [misc]simplify: iters left: 2 (21 enodes) 1550698325.555 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.555 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698325.555 * * [misc]simplify: Extracting #2: cost 5 inf + 2 1550698325.555 * * [misc]simplify: Extracting #3: cost 0 inf + 171 1550698325.555 * [exit]simplify: Simplified to (* PI n) 1550698325.555 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 2 (* PI n)) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.555 * * * * [misc]progress: [ 43 / 134 ] simplifiying candidate # 1550698325.564 * * * * [misc]progress: [ 44 / 134 ] simplifiying candidate # 1550698325.565 * * * * [misc]progress: [ 45 / 134 ] simplifiying candidate # 1550698325.565 * * * * [misc]progress: [ 46 / 134 ] simplifiying candidate # 1550698325.565 * [enter]simplify: Simplifying (cbrt (/ -1 n)) 1550698325.565 * * [misc]simplify: iters left: 3 (4 enodes) 1550698325.567 * * [misc]simplify: iters left: 2 (12 enodes) 1550698325.572 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.572 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698325.572 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698325.572 * * [misc]simplify: Extracting #3: cost 4 inf + 2 1550698325.572 * * [misc]simplify: Extracting #4: cost 0 inf + 330 1550698325.572 * [exit]simplify: Simplified to (cbrt (/ -1 n)) 1550698325.572 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.572 * * * * [misc]progress: [ 47 / 134 ] simplifiying candidate # 1550698325.573 * [enter]simplify: Simplifying (sqrt (/ -1 n)) 1550698325.573 * * [misc]simplify: iters left: 3 (4 enodes) 1550698325.575 * * [misc]simplify: iters left: 2 (12 enodes) 1550698325.579 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.579 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698325.579 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698325.579 * * [misc]simplify: Extracting #3: cost 4 inf + 2 1550698325.579 * * [misc]simplify: Extracting #4: cost 0 inf + 250 1550698325.580 * [exit]simplify: Simplified to (sqrt (/ -1 n)) 1550698325.580 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) (sqrt (/ -1 n))) (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.580 * * * * [misc]progress: [ 48 / 134 ] simplifiying candidate # 1550698325.581 * [enter]simplify: Simplifying (/ -1 n) 1550698325.581 * * [misc]simplify: iters left: 2 (3 enodes) 1550698325.583 * * [misc]simplify: iters left: 1 (9 enodes) 1550698325.586 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.586 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698325.586 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550698325.586 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550698325.586 * [exit]simplify: Simplified to (/ -1 n) 1550698325.586 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) 1) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.587 * * * * [misc]progress: [ 49 / 134 ] simplifiying candidate # 1550698325.587 * [enter]simplify: Simplifying (/ 1 n) 1550698325.587 * * [misc]simplify: iters left: 2 (3 enodes) 1550698325.589 * * [misc]simplify: iters left: 1 (11 enodes) 1550698325.594 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698325.594 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698325.594 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550698325.594 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550698325.594 * [exit]simplify: Simplified to (/ 1 n) 1550698325.594 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) -1) (/ 1 n)) (fma -1/2 k 1/2)) (sqrt k))) 1550698325.594 * * * * [misc]progress: [ 50 / 134 ] simplifiying candidate # 1550698325.594 * * * * [misc]progress: [ 51 / 134 ] simplifiying candidate # 1550698325.594 * * * * [misc]progress: [ 52 / 134 ] simplifiying candidate #real (real->posit16 (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt k)))> 1550698325.595 * * * * [misc]progress: [ 53 / 134 ] simplifiying candidate # 1550698325.595 * * * * [misc]progress: [ 54 / 134 ] simplifiying candidate # 1550698325.595 * * * * [misc]progress: [ 55 / 134 ] simplifiying candidate # 1550698325.595 * * * * [misc]progress: [ 56 / 134 ] simplifiying candidate # 1550698325.595 * [enter]simplify: Simplifying (- (* (- (log (* -2 PI)) (log (/ -1 n))) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698325.595 * * [misc]simplify: iters left: 6 (17 enodes) 1550698325.654 * * [misc]simplify: iters left: 5 (66 enodes) 1550698325.713 * * [misc]simplify: iters left: 4 (106 enodes) 1550698325.769 * * [misc]simplify: iters left: 3 (264 enodes) 1550698326.082 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698326.083 * * [misc]simplify: Extracting #1: cost 56 inf + 0 1550698326.084 * * [misc]simplify: Extracting #2: cost 226 inf + 2 1550698326.086 * * [misc]simplify: Extracting #3: cost 257 inf + 562 1550698326.094 * * [misc]simplify: Extracting #4: cost 218 inf + 9164 1550698326.111 * * [misc]simplify: Extracting #5: cost 73 inf + 48398 1550698326.141 * * [misc]simplify: Extracting #6: cost 4 inf + 72573 1550698326.172 * * [misc]simplify: Extracting #7: cost 0 inf + 73814 1550698326.384 * [exit]simplify: Simplified to (- (* (fma -1/2 k 1/2) (- (log (* -2 PI)) (log (/ -1 n)))) (log (sqrt k))) 1550698326.385 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (fma -1/2 k 1/2) (- (log (* -2 PI)) (log (/ -1 n)))) (log (sqrt k))))) 1550698326.385 * * * * [misc]progress: [ 57 / 134 ] simplifiying candidate # 1550698326.389 * [enter]simplify: Simplifying (- (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698326.390 * * [misc]simplify: iters left: 6 (16 enodes) 1550698326.411 * * [misc]simplify: iters left: 5 (62 enodes) 1550698326.433 * * [misc]simplify: iters left: 4 (110 enodes) 1550698326.499 * * [misc]simplify: iters left: 3 (243 enodes) 1550698326.896 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698326.900 * * [misc]simplify: Extracting #1: cost 33 inf + 0 1550698326.901 * * [misc]simplify: Extracting #2: cost 165 inf + 2 1550698326.903 * * [misc]simplify: Extracting #3: cost 213 inf + 477 1550698326.920 * * [misc]simplify: Extracting #4: cost 162 inf + 9156 1550698326.936 * * [misc]simplify: Extracting #5: cost 49 inf + 29560 1550698326.952 * * [misc]simplify: Extracting #6: cost 2 inf + 39365 1550698326.968 * * [misc]simplify: Extracting #7: cost 0 inf + 39873 1550698326.991 * [exit]simplify: Simplified to (- (* (fma k -1/2 1/2) (log (* (* n 2) PI))) (log (sqrt k))) 1550698326.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (fma k -1/2 1/2) (log (* (* n 2) PI))) (log (sqrt k))))) 1550698326.991 * * * * [misc]progress: [ 58 / 134 ] simplifiying candidate # 1550698326.992 * [enter]simplify: Simplifying (- (* (log (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698326.992 * * [misc]simplify: iters left: 6 (16 enodes) 1550698327.001 * * [misc]simplify: iters left: 5 (62 enodes) 1550698327.024 * * [misc]simplify: iters left: 4 (110 enodes) 1550698327.064 * * [misc]simplify: iters left: 3 (243 enodes) 1550698327.516 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698327.517 * * [misc]simplify: Extracting #1: cost 33 inf + 0 1550698327.518 * * [misc]simplify: Extracting #2: cost 165 inf + 2 1550698327.519 * * [misc]simplify: Extracting #3: cost 213 inf + 477 1550698327.525 * * [misc]simplify: Extracting #4: cost 162 inf + 9156 1550698327.535 * * [misc]simplify: Extracting #5: cost 49 inf + 29560 1550698327.551 * * [misc]simplify: Extracting #6: cost 2 inf + 39365 1550698327.568 * * [misc]simplify: Extracting #7: cost 0 inf + 39873 1550698327.584 * [exit]simplify: Simplified to (- (* (fma k -1/2 1/2) (log (* (* n 2) PI))) (log (sqrt k))) 1550698327.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (fma k -1/2 1/2) (log (* (* n 2) PI))) (log (sqrt k))))) 1550698327.585 * * * * [misc]progress: [ 59 / 134 ] simplifiying candidate # 1550698327.585 * [enter]simplify: Simplifying (- (log (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (log (sqrt k))) 1550698327.585 * * [misc]simplify: iters left: 6 (16 enodes) 1550698327.594 * * [misc]simplify: iters left: 5 (59 enodes) 1550698327.734 * * [misc]simplify: iters left: 4 (96 enodes) 1550698327.791 * * [misc]simplify: iters left: 3 (178 enodes) 1550698327.857 * * [misc]simplify: iters left: 2 (417 enodes) 1550698328.175 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698328.175 * * [misc]simplify: Extracting #1: cost 77 inf + 0 1550698328.177 * * [misc]simplify: Extracting #2: cost 334 inf + 45 1550698328.180 * * [misc]simplify: Extracting #3: cost 394 inf + 257 1550698328.186 * * [misc]simplify: Extracting #4: cost 310 inf + 12818 1550698328.205 * * [misc]simplify: Extracting #5: cost 96 inf + 60291 1550698328.238 * * [misc]simplify: Extracting #6: cost 8 inf + 86509 1550698328.274 * * [misc]simplify: Extracting #7: cost 0 inf + 89758 1550698328.314 * [exit]simplify: Simplified to (- (* (log (* (/ n 1/2) PI)) (fma k -1/2 1/2)) (log (sqrt k))) 1550698328.314 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (/ n 1/2) PI)) (fma k -1/2 1/2)) (log (sqrt k))))) 1550698328.314 * * * * [misc]progress: [ 60 / 134 ] simplifiying candidate # 1550698328.314 * * * * [misc]progress: [ 61 / 134 ] simplifiying candidate # 1550698328.314 * * * * [misc]progress: [ 62 / 134 ] simplifiying candidate # 1550698328.315 * [enter]simplify: Simplifying (/ (* (* (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1550698328.315 * * [misc]simplify: iters left: 6 (18 enodes) 1550698328.325 * * [misc]simplify: iters left: 5 (68 enodes) 1550698328.348 * * [misc]simplify: iters left: 4 (128 enodes) 1550698328.392 * * [misc]simplify: iters left: 3 (219 enodes) 1550698328.471 * * [misc]simplify: iters left: 2 (291 enodes) 1550698328.562 * * [misc]simplify: iters left: 1 (336 enodes) 1550698328.657 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698328.657 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1550698328.657 * * [misc]simplify: Extracting #2: cost 44 inf + 42 1550698328.657 * * [misc]simplify: Extracting #3: cost 67 inf + 165 1550698328.658 * * [misc]simplify: Extracting #4: cost 72 inf + 379 1550698328.660 * * [misc]simplify: Extracting #5: cost 40 inf + 2124 1550698328.664 * * [misc]simplify: Extracting #6: cost 17 inf + 11558 1550698328.671 * * [misc]simplify: Extracting #7: cost 1 inf + 18718 1550698328.679 * * [misc]simplify: Extracting #8: cost 0 inf + 19188 1550698328.688 * [exit]simplify: Simplified to (* (pow (/ (* PI n) 1/2) (fma k -1/2 1/2)) (/ (/ (* (pow (/ (* PI n) 1/2) (fma k -1/2 1/2)) (pow (/ (* PI n) 1/2) (fma k -1/2 1/2))) k) (sqrt k))) 1550698328.688 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (pow (/ (* PI n) 1/2) (fma k -1/2 1/2)) (/ (/ (* (pow (/ (* PI n) 1/2) (fma k -1/2 1/2)) (pow (/ (* PI n) 1/2) (fma k -1/2 1/2))) k) (sqrt k))))) 1550698328.688 * * * * [misc]progress: [ 63 / 134 ] simplifiying candidate # 1550698328.688 * * * * [misc]progress: [ 64 / 134 ] simplifiying candidate # 1550698328.688 * * * * [misc]progress: [ 65 / 134 ] simplifiying candidate # 1550698328.688 * * * * [misc]progress: [ 66 / 134 ] simplifiying candidate # 1550698328.688 * * * * [misc]progress: [ 67 / 134 ] simplifiying candidate # 1550698328.689 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698328.689 * * [misc]simplify: iters left: 6 (15 enodes) 1550698328.697 * * [misc]simplify: iters left: 5 (53 enodes) 1550698328.818 * * [misc]simplify: iters left: 4 (73 enodes) 1550698328.843 * * [misc]simplify: iters left: 3 (105 enodes) 1550698328.875 * * [misc]simplify: iters left: 2 (135 enodes) 1550698328.913 * * [misc]simplify: iters left: 1 (159 enodes) 1550698328.958 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698328.958 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698328.958 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698328.958 * * [misc]simplify: Extracting #3: cost 40 inf + 0 1550698328.959 * * [misc]simplify: Extracting #4: cost 41 inf + 260 1550698328.962 * * [misc]simplify: Extracting #5: cost 8 inf + 2368 1550698328.963 * * [misc]simplify: Extracting #6: cost 2 inf + 4193 1550698328.965 * * [misc]simplify: Extracting #7: cost 0 inf + 5223 1550698328.967 * [exit]simplify: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698328.967 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI (/ 1/2 n)) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (cbrt (sqrt k))))) 1550698328.968 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (cbrt (sqrt k))) 1550698328.968 * * [misc]simplify: iters left: 6 (13 enodes) 1550698328.974 * * [misc]simplify: iters left: 5 (45 enodes) 1550698328.989 * * [misc]simplify: iters left: 4 (62 enodes) 1550698329.009 * * [misc]simplify: iters left: 3 (92 enodes) 1550698329.036 * * [misc]simplify: iters left: 2 (122 enodes) 1550698329.069 * * [misc]simplify: iters left: 1 (146 enodes) 1550698329.122 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698329.122 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698329.122 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698329.122 * * [misc]simplify: Extracting #3: cost 32 inf + 1 1550698329.123 * * [misc]simplify: Extracting #4: cost 34 inf + 383 1550698329.124 * * [misc]simplify: Extracting #5: cost 8 inf + 1919 1550698329.125 * * [misc]simplify: Extracting #6: cost 0 inf + 2900 1550698329.127 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k))) 1550698329.127 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k))))) 1550698329.127 * * * * [misc]progress: [ 68 / 134 ] simplifiying candidate # 1550698329.127 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (sqrt (sqrt k))) 1550698329.127 * * [misc]simplify: iters left: 6 (14 enodes) 1550698329.135 * * [misc]simplify: iters left: 5 (48 enodes) 1550698329.150 * * [misc]simplify: iters left: 4 (66 enodes) 1550698329.172 * * [misc]simplify: iters left: 3 (98 enodes) 1550698329.200 * * [misc]simplify: iters left: 2 (128 enodes) 1550698329.236 * * [misc]simplify: iters left: 1 (153 enodes) 1550698329.281 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698329.281 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698329.281 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698329.281 * * [misc]simplify: Extracting #3: cost 36 inf + 0 1550698329.282 * * [misc]simplify: Extracting #4: cost 38 inf + 218 1550698329.283 * * [misc]simplify: Extracting #5: cost 6 inf + 2008 1550698329.284 * * [misc]simplify: Extracting #6: cost 0 inf + 3671 1550698329.286 * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt (sqrt k))) 1550698329.286 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k))))) 1550698329.286 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k))) 1550698329.286 * * [misc]simplify: iters left: 6 (13 enodes) 1550698329.293 * * [misc]simplify: iters left: 5 (45 enodes) 1550698329.308 * * [misc]simplify: iters left: 4 (62 enodes) 1550698329.328 * * [misc]simplify: iters left: 3 (92 enodes) 1550698329.354 * * [misc]simplify: iters left: 2 (122 enodes) 1550698329.389 * * [misc]simplify: iters left: 1 (146 enodes) 1550698329.434 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698329.434 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698329.434 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698329.435 * * [misc]simplify: Extracting #3: cost 32 inf + 1 1550698329.435 * * [misc]simplify: Extracting #4: cost 34 inf + 383 1550698329.436 * * [misc]simplify: Extracting #5: cost 8 inf + 1879 1550698329.438 * * [misc]simplify: Extracting #6: cost 0 inf + 2740 1550698329.439 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1550698329.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) (sqrt (sqrt k))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))))) 1550698329.440 * * * * [misc]progress: [ 69 / 134 ] simplifiying candidate # 1550698329.440 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) 1) 1550698329.440 * * [misc]simplify: iters left: 6 (13 enodes) 1550698329.448 * * [misc]simplify: iters left: 5 (45 enodes) 1550698329.464 * * [misc]simplify: iters left: 4 (65 enodes) 1550698329.486 * * [misc]simplify: iters left: 3 (97 enodes) 1550698329.516 * * [misc]simplify: iters left: 2 (127 enodes) 1550698329.572 * * [misc]simplify: iters left: 1 (152 enodes) 1550698329.616 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698329.616 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698329.616 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1550698329.617 * * [misc]simplify: Extracting #3: cost 31 inf + 261 1550698329.618 * * [misc]simplify: Extracting #4: cost 5 inf + 1974 1550698329.619 * * [misc]simplify: Extracting #5: cost 0 inf + 2518 1550698329.621 * [exit]simplify: Simplified to (pow (/ n (/ 1/2 PI)) (* -1/2 k)) 1550698329.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (/ n (/ 1/2 PI)) (* -1/2 k)) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt k)))) 1550698329.621 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt k)) 1550698329.621 * * [misc]simplify: iters left: 6 (12 enodes) 1550698329.628 * * [misc]simplify: iters left: 5 (42 enodes) 1550698329.643 * * [misc]simplify: iters left: 4 (59 enodes) 1550698329.654 * * [misc]simplify: iters left: 3 (89 enodes) 1550698329.679 * * [misc]simplify: iters left: 2 (119 enodes) 1550698329.715 * * [misc]simplify: iters left: 1 (144 enodes) 1550698329.757 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698329.757 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698329.757 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698329.757 * * [misc]simplify: Extracting #3: cost 28 inf + 43 1550698329.758 * * [misc]simplify: Extracting #4: cost 32 inf + 340 1550698329.759 * * [misc]simplify: Extracting #5: cost 6 inf + 1841 1550698329.760 * * [misc]simplify: Extracting #6: cost 1 inf + 2294 1550698329.762 * * [misc]simplify: Extracting #7: cost 0 inf + 2498 1550698329.763 * [exit]simplify: Simplified to (/ (sqrt (* PI (/ n 1/2))) (sqrt k)) 1550698329.763 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) 1) (/ (sqrt (* PI (/ n 1/2))) (sqrt k)))) 1550698329.764 * * * * [misc]progress: [ 70 / 134 ] simplifiying candidate # 1550698329.764 * [enter]simplify: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698329.764 * * [misc]simplify: iters left: 6 (18 enodes) 1550698329.774 * * [misc]simplify: iters left: 5 (63 enodes) 1550698329.793 * * [misc]simplify: iters left: 4 (86 enodes) 1550698329.821 * * [misc]simplify: iters left: 3 (117 enodes) 1550698329.863 * * [misc]simplify: iters left: 2 (147 enodes) 1550698329.951 * * [misc]simplify: iters left: 1 (172 enodes) 1550698330.002 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698330.002 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698330.002 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698330.002 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550698330.002 * * [misc]simplify: Extracting #4: cost 21 inf + 3 1550698330.002 * * [misc]simplify: Extracting #5: cost 36 inf + 589 1550698330.003 * * [misc]simplify: Extracting #6: cost 36 inf + 1148 1550698330.004 * * [misc]simplify: Extracting #7: cost 13 inf + 2763 1550698330.006 * * [misc]simplify: Extracting #8: cost 4 inf + 4481 1550698330.009 * * [misc]simplify: Extracting #9: cost 0 inf + 6881 1550698330.011 * [exit]simplify: Simplified to (/ (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698330.013 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698330.017 * [enter]simplify: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698330.017 * * [misc]simplify: iters left: 6 (16 enodes) 1550698330.026 * * [misc]simplify: iters left: 5 (55 enodes) 1550698330.068 * * [misc]simplify: iters left: 4 (76 enodes) 1550698330.156 * * [misc]simplify: iters left: 3 (107 enodes) 1550698330.243 * * [misc]simplify: iters left: 2 (137 enodes) 1550698330.282 * * [misc]simplify: iters left: 1 (162 enodes) 1550698330.328 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698330.328 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698330.328 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698330.328 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698330.328 * * [misc]simplify: Extracting #4: cost 35 inf + 102 1550698330.329 * * [misc]simplify: Extracting #5: cost 34 inf + 783 1550698330.330 * * [misc]simplify: Extracting #6: cost 10 inf + 2279 1550698330.332 * * [misc]simplify: Extracting #7: cost 0 inf + 4657 1550698330.334 * [exit]simplify: Simplified to (/ (pow (cbrt (* (* PI n) 2)) (fma k -1/2 1/2)) (cbrt (sqrt k))) 1550698330.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (* (* PI n) 2)) (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1550698330.335 * * * * [misc]progress: [ 71 / 134 ] simplifiying candidate # 1550698330.335 * [enter]simplify: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698330.335 * * [misc]simplify: iters left: 6 (17 enodes) 1550698330.345 * * [misc]simplify: iters left: 5 (58 enodes) 1550698330.366 * * [misc]simplify: iters left: 4 (79 enodes) 1550698330.392 * * [misc]simplify: iters left: 3 (110 enodes) 1550698330.424 * * [misc]simplify: iters left: 2 (140 enodes) 1550698330.466 * * [misc]simplify: iters left: 1 (165 enodes) 1550698330.514 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698330.514 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698330.514 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698330.514 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698330.514 * * [misc]simplify: Extracting #4: cost 14 inf + 166 1550698330.514 * * [misc]simplify: Extracting #5: cost 31 inf + 447 1550698330.515 * * [misc]simplify: Extracting #6: cost 34 inf + 787 1550698330.516 * * [misc]simplify: Extracting #7: cost 7 inf + 2611 1550698330.518 * * [misc]simplify: Extracting #8: cost 1 inf + 4472 1550698330.520 * * [misc]simplify: Extracting #9: cost 0 inf + 5063 1550698330.522 * [exit]simplify: Simplified to (/ (pow (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698330.522 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698330.522 * [enter]simplify: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698330.522 * * [misc]simplify: iters left: 6 (16 enodes) 1550698330.530 * * [misc]simplify: iters left: 5 (55 enodes) 1550698330.546 * * [misc]simplify: iters left: 4 (76 enodes) 1550698330.570 * * [misc]simplify: iters left: 3 (107 enodes) 1550698330.601 * * [misc]simplify: iters left: 2 (137 enodes) 1550698330.638 * * [misc]simplify: iters left: 1 (162 enodes) 1550698330.764 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698330.764 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698330.764 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698330.764 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698330.765 * * [misc]simplify: Extracting #4: cost 35 inf + 102 1550698330.765 * * [misc]simplify: Extracting #5: cost 34 inf + 703 1550698330.766 * * [misc]simplify: Extracting #6: cost 10 inf + 2199 1550698330.768 * * [misc]simplify: Extracting #7: cost 0 inf + 4497 1550698330.782 * [exit]simplify: Simplified to (/ (pow (cbrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698330.782 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (cbrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1550698330.783 * * * * [misc]progress: [ 72 / 134 ] simplifiying candidate # 1550698330.784 * [enter]simplify: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) 1) 1550698330.784 * * [misc]simplify: iters left: 6 (16 enodes) 1550698330.793 * * [misc]simplify: iters left: 5 (55 enodes) 1550698330.812 * * [misc]simplify: iters left: 4 (78 enodes) 1550698330.837 * * [misc]simplify: iters left: 3 (109 enodes) 1550698330.870 * * [misc]simplify: iters left: 2 (139 enodes) 1550698330.912 * * [misc]simplify: iters left: 1 (164 enodes) 1550698330.969 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698330.969 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698330.969 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550698330.969 * * [misc]simplify: Extracting #3: cost 9 inf + 104 1550698330.969 * * [misc]simplify: Extracting #4: cost 29 inf + 204 1550698330.970 * * [misc]simplify: Extracting #5: cost 35 inf + 418 1550698330.971 * * [misc]simplify: Extracting #6: cost 12 inf + 1830 1550698330.977 * * [misc]simplify: Extracting #7: cost 0 inf + 3636 1550698330.979 * [exit]simplify: Simplified to (pow (* (cbrt (/ PI (/ 1/2 n))) (cbrt (/ PI (/ 1/2 n)))) (fma -1/2 k 1/2)) 1550698330.979 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (/ PI (/ 1/2 n))) (cbrt (/ PI (/ 1/2 n)))) (fma -1/2 k 1/2)) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))) 1550698330.979 * [enter]simplify: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)) 1550698330.980 * * [misc]simplify: iters left: 6 (15 enodes) 1550698330.996 * * [misc]simplify: iters left: 5 (52 enodes) 1550698331.033 * * [misc]simplify: iters left: 4 (73 enodes) 1550698331.058 * * [misc]simplify: iters left: 3 (104 enodes) 1550698331.091 * * [misc]simplify: iters left: 2 (134 enodes) 1550698331.129 * * [misc]simplify: iters left: 1 (159 enodes) 1550698331.175 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698331.175 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698331.175 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698331.175 * * [misc]simplify: Extracting #3: cost 13 inf + 42 1550698331.175 * * [misc]simplify: Extracting #4: cost 31 inf + 185 1550698331.176 * * [misc]simplify: Extracting #5: cost 33 inf + 583 1550698331.177 * * [misc]simplify: Extracting #6: cost 9 inf + 1999 1550698331.179 * * [misc]simplify: Extracting #7: cost 1 inf + 3741 1550698331.181 * * [misc]simplify: Extracting #8: cost 0 inf + 4251 1550698331.183 * [exit]simplify: Simplified to (/ (pow (cbrt (* n (/ PI 1/2))) (fma k -1/2 1/2)) (sqrt k)) 1550698331.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) 1) (/ (pow (cbrt (* n (/ PI 1/2))) (fma k -1/2 1/2)) (sqrt k)))) 1550698331.183 * * * * [misc]progress: [ 73 / 134 ] simplifiying candidate # 1550698331.184 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698331.184 * * [misc]simplify: iters left: 6 (17 enodes) 1550698331.193 * * [misc]simplify: iters left: 5 (60 enodes) 1550698331.213 * * [misc]simplify: iters left: 4 (83 enodes) 1550698331.242 * * [misc]simplify: iters left: 3 (114 enodes) 1550698331.274 * * [misc]simplify: iters left: 2 (144 enodes) 1550698331.309 * * [misc]simplify: iters left: 1 (169 enodes) 1550698331.348 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698331.348 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698331.348 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698331.348 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1550698331.348 * * [misc]simplify: Extracting #4: cost 40 inf + 44 1550698331.349 * * [misc]simplify: Extracting #5: cost 36 inf + 1105 1550698331.353 * * [misc]simplify: Extracting #6: cost 12 inf + 2399 1550698331.354 * * [misc]simplify: Extracting #7: cost 3 inf + 4228 1550698331.357 * * [misc]simplify: Extracting #8: cost 0 inf + 5921 1550698331.359 * [exit]simplify: Simplified to (/ (pow (sqrt (* PI (* 2 n))) (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698331.359 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (* PI (* 2 n))) (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698331.359 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698331.360 * * [misc]simplify: iters left: 6 (16 enodes) 1550698331.368 * * [misc]simplify: iters left: 5 (55 enodes) 1550698331.383 * * [misc]simplify: iters left: 4 (76 enodes) 1550698331.407 * * [misc]simplify: iters left: 3 (107 enodes) 1550698331.438 * * [misc]simplify: iters left: 2 (137 enodes) 1550698331.476 * * [misc]simplify: iters left: 1 (162 enodes) 1550698331.596 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698331.597 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698331.597 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698331.597 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698331.597 * * [misc]simplify: Extracting #4: cost 35 inf + 102 1550698331.598 * * [misc]simplify: Extracting #5: cost 34 inf + 783 1550698331.599 * * [misc]simplify: Extracting #6: cost 10 inf + 2199 1550698331.609 * * [misc]simplify: Extracting #7: cost 0 inf + 4417 1550698331.611 * [exit]simplify: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (cbrt (sqrt k))) 1550698331.616 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1550698331.621 * * * * [misc]progress: [ 74 / 134 ] simplifiying candidate # 1550698331.623 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698331.623 * * [misc]simplify: iters left: 6 (16 enodes) 1550698331.645 * * [misc]simplify: iters left: 5 (55 enodes) 1550698331.666 * * [misc]simplify: iters left: 4 (76 enodes) 1550698331.691 * * [misc]simplify: iters left: 3 (107 enodes) 1550698331.724 * * [misc]simplify: iters left: 2 (137 enodes) 1550698331.765 * * [misc]simplify: iters left: 1 (162 enodes) 1550698331.810 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698331.810 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698331.810 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698331.810 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698331.810 * * [misc]simplify: Extracting #4: cost 35 inf + 102 1550698331.811 * * [misc]simplify: Extracting #5: cost 34 inf + 703 1550698331.812 * * [misc]simplify: Extracting #6: cost 10 inf + 2119 1550698331.814 * * [misc]simplify: Extracting #7: cost 0 inf + 4257 1550698331.816 * [exit]simplify: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698331.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698331.816 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698331.816 * * [misc]simplify: iters left: 6 (16 enodes) 1550698331.825 * * [misc]simplify: iters left: 5 (55 enodes) 1550698331.843 * * [misc]simplify: iters left: 4 (76 enodes) 1550698331.868 * * [misc]simplify: iters left: 3 (107 enodes) 1550698331.902 * * [misc]simplify: iters left: 2 (137 enodes) 1550698331.941 * * [misc]simplify: iters left: 1 (162 enodes) 1550698331.986 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698331.986 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698331.986 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698331.986 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698331.987 * * [misc]simplify: Extracting #4: cost 35 inf + 102 1550698331.987 * * [misc]simplify: Extracting #5: cost 34 inf + 703 1550698331.988 * * [misc]simplify: Extracting #6: cost 10 inf + 2119 1550698331.990 * * [misc]simplify: Extracting #7: cost 0 inf + 4257 1550698331.992 * [exit]simplify: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698331.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (sqrt (* (* PI n) 2)) (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1550698331.992 * * * * [misc]progress: [ 75 / 134 ] simplifiying candidate # 1550698331.993 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) 1) 1550698331.993 * * [misc]simplify: iters left: 6 (15 enodes) 1550698332.002 * * [misc]simplify: iters left: 5 (52 enodes) 1550698332.019 * * [misc]simplify: iters left: 4 (75 enodes) 1550698332.043 * * [misc]simplify: iters left: 3 (106 enodes) 1550698332.077 * * [misc]simplify: iters left: 2 (136 enodes) 1550698332.115 * * [misc]simplify: iters left: 1 (161 enodes) 1550698332.188 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698332.188 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698332.188 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550698332.188 * * [misc]simplify: Extracting #3: cost 29 inf + 104 1550698332.189 * * [misc]simplify: Extracting #4: cost 31 inf + 461 1550698332.190 * * [misc]simplify: Extracting #5: cost 7 inf + 1837 1550698332.191 * * [misc]simplify: Extracting #6: cost 1 inf + 2601 1550698332.201 * * [misc]simplify: Extracting #7: cost 0 inf + 2992 1550698332.203 * [exit]simplify: Simplified to (pow (sqrt (* (* 2 n) PI)) (fma k -1/2 1/2)) 1550698332.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (sqrt (* (* 2 n) PI)) (fma k -1/2 1/2)) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))) 1550698332.203 * [enter]simplify: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)) 1550698332.203 * * [misc]simplify: iters left: 6 (15 enodes) 1550698332.220 * * [misc]simplify: iters left: 5 (52 enodes) 1550698332.442 * * [misc]simplify: iters left: 4 (73 enodes) 1550698332.508 * * [misc]simplify: iters left: 3 (104 enodes) 1550698332.538 * * [misc]simplify: iters left: 2 (134 enodes) 1550698332.575 * * [misc]simplify: iters left: 1 (159 enodes) 1550698332.620 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698332.620 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698332.621 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698332.621 * * [misc]simplify: Extracting #3: cost 13 inf + 42 1550698332.621 * * [misc]simplify: Extracting #4: cost 31 inf + 185 1550698332.621 * * [misc]simplify: Extracting #5: cost 33 inf + 583 1550698332.623 * * [misc]simplify: Extracting #6: cost 9 inf + 1959 1550698332.626 * * [misc]simplify: Extracting #7: cost 1 inf + 3541 1550698332.628 * * [misc]simplify: Extracting #8: cost 0 inf + 4011 1550698332.630 * [exit]simplify: Simplified to (/ (pow (sqrt (* n (/ PI 1/2))) (fma k -1/2 1/2)) (sqrt k)) 1550698332.630 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) 1) (/ (pow (sqrt (* n (/ PI 1/2))) (fma k -1/2 1/2)) (sqrt k)))) 1550698332.630 * * * * [misc]progress: [ 76 / 134 ] simplifiying candidate # 1550698332.630 * [enter]simplify: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698332.631 * * [misc]simplify: iters left: 6 (16 enodes) 1550698332.639 * * [misc]simplify: iters left: 5 (54 enodes) 1550698332.656 * * [misc]simplify: iters left: 4 (62 enodes) 1550698332.675 * * [misc]simplify: iters left: 3 (63 enodes) 1550698332.693 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698332.694 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698332.694 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698332.694 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698332.694 * * [misc]simplify: Extracting #4: cost 21 inf + 249 1550698332.694 * * [misc]simplify: Extracting #5: cost 18 inf + 850 1550698332.695 * * [misc]simplify: Extracting #6: cost 16 inf + 852 1550698332.695 * * [misc]simplify: Extracting #7: cost 11 inf + 1342 1550698332.696 * * [misc]simplify: Extracting #8: cost 1 inf + 5151 1550698332.697 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 1550698332.699 * [exit]simplify: Simplified to (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698332.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698332.699 * [enter]simplify: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698332.700 * * [misc]simplify: iters left: 6 (14 enodes) 1550698332.707 * * [misc]simplify: iters left: 5 (44 enodes) 1550698332.721 * * [misc]simplify: iters left: 4 (48 enodes) 1550698332.736 * * [misc]simplify: iters left: 3 (49 enodes) 1550698332.750 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698332.750 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698332.750 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698332.750 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698332.750 * * [misc]simplify: Extracting #4: cost 15 inf + 103 1550698332.751 * * [misc]simplify: Extracting #5: cost 13 inf + 486 1550698332.751 * * [misc]simplify: Extracting #6: cost 10 inf + 530 1550698332.751 * * [misc]simplify: Extracting #7: cost 5 inf + 1062 1550698332.752 * * [misc]simplify: Extracting #8: cost 1 inf + 2637 1550698332.753 * * [misc]simplify: Extracting #9: cost 0 inf + 3228 1550698332.753 * [exit]simplify: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698332.753 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698332.754 * * * * [misc]progress: [ 77 / 134 ] simplifiying candidate # 1550698332.754 * [enter]simplify: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698332.754 * * [misc]simplify: iters left: 6 (15 enodes) 1550698332.762 * * [misc]simplify: iters left: 5 (49 enodes) 1550698332.778 * * [misc]simplify: iters left: 4 (55 enodes) 1550698332.797 * * [misc]simplify: iters left: 3 (56 enodes) 1550698332.814 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698332.814 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698332.814 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698332.814 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550698332.814 * * [misc]simplify: Extracting #4: cost 17 inf + 249 1550698332.815 * * [misc]simplify: Extracting #5: cost 16 inf + 448 1550698332.815 * * [misc]simplify: Extracting #6: cost 14 inf + 450 1550698332.815 * * [misc]simplify: Extracting #7: cost 9 inf + 940 1550698332.816 * * [misc]simplify: Extracting #8: cost 2 inf + 2776 1550698332.817 * * [misc]simplify: Extracting #9: cost 0 inf + 3958 1550698332.818 * [exit]simplify: Simplified to (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698332.818 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma k -1/2 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698332.819 * [enter]simplify: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698332.819 * * [misc]simplify: iters left: 6 (14 enodes) 1550698332.826 * * [misc]simplify: iters left: 5 (44 enodes) 1550698332.839 * * [misc]simplify: iters left: 4 (48 enodes) 1550698332.854 * * [misc]simplify: iters left: 3 (49 enodes) 1550698332.869 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698332.869 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698332.869 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698332.869 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698332.869 * * [misc]simplify: Extracting #4: cost 15 inf + 103 1550698332.869 * * [misc]simplify: Extracting #5: cost 13 inf + 406 1550698332.870 * * [misc]simplify: Extracting #6: cost 10 inf + 450 1550698332.870 * * [misc]simplify: Extracting #7: cost 5 inf + 982 1550698332.871 * * [misc]simplify: Extracting #8: cost 1 inf + 2517 1550698332.871 * * [misc]simplify: Extracting #9: cost 0 inf + 3068 1550698332.872 * [exit]simplify: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698332.872 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698332.873 * * * * [misc]progress: [ 78 / 134 ] simplifiying candidate # 1550698332.873 * [enter]simplify: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) 1) 1550698332.873 * * [misc]simplify: iters left: 6 (14 enodes) 1550698332.881 * * [misc]simplify: iters left: 5 (46 enodes) 1550698332.896 * * [misc]simplify: iters left: 4 (54 enodes) 1550698332.912 * * [misc]simplify: iters left: 3 (55 enodes) 1550698332.929 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698332.929 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698332.929 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1550698332.930 * * [misc]simplify: Extracting #3: cost 15 inf + 5 1550698332.930 * * [misc]simplify: Extracting #4: cost 14 inf + 205 1550698332.930 * * [misc]simplify: Extracting #5: cost 11 inf + 249 1550698332.930 * * [misc]simplify: Extracting #6: cost 6 inf + 860 1550698332.931 * * [misc]simplify: Extracting #7: cost 1 inf + 2062 1550698332.932 * * [misc]simplify: Extracting #8: cost 0 inf + 2533 1550698332.932 * [exit]simplify: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2)) 1550698332.932 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2)) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))) 1550698332.933 * [enter]simplify: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)) 1550698332.933 * * [misc]simplify: iters left: 6 (13 enodes) 1550698332.940 * * [misc]simplify: iters left: 5 (41 enodes) 1550698332.954 * * [misc]simplify: iters left: 4 (45 enodes) 1550698332.968 * * [misc]simplify: iters left: 3 (46 enodes) 1550698332.981 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698332.981 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698332.981 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698332.981 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550698332.981 * * [misc]simplify: Extracting #4: cost 12 inf + 145 1550698332.982 * * [misc]simplify: Extracting #5: cost 12 inf + 286 1550698332.982 * * [misc]simplify: Extracting #6: cost 9 inf + 330 1550698332.982 * * [misc]simplify: Extracting #7: cost 6 inf + 657 1550698332.983 * * [misc]simplify: Extracting #8: cost 2 inf + 1884 1550698332.983 * * [misc]simplify: Extracting #9: cost 0 inf + 2826 1550698332.984 * [exit]simplify: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)) 1550698332.985 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) 1) (/ (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))) 1550698332.985 * * * * [misc]progress: [ 79 / 134 ] simplifiying candidate # 1550698332.985 * [enter]simplify: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698332.985 * * [misc]simplify: iters left: 6 (15 enodes) 1550698332.996 * * [misc]simplify: iters left: 5 (49 enodes) 1550698333.012 * * [misc]simplify: iters left: 4 (55 enodes) 1550698333.030 * * [misc]simplify: iters left: 3 (56 enodes) 1550698333.046 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.047 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698333.047 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698333.047 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550698333.047 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1550698333.047 * * [misc]simplify: Extracting #5: cost 16 inf + 631 1550698333.047 * * [misc]simplify: Extracting #6: cost 12 inf + 852 1550698333.048 * * [misc]simplify: Extracting #7: cost 7 inf + 1223 1550698333.049 * * [misc]simplify: Extracting #8: cost 0 inf + 4412 1550698333.050 * [exit]simplify: Simplified to (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698333.050 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698333.051 * [enter]simplify: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698333.051 * * [misc]simplify: iters left: 6 (14 enodes) 1550698333.058 * * [misc]simplify: iters left: 5 (44 enodes) 1550698333.071 * * [misc]simplify: iters left: 4 (48 enodes) 1550698333.086 * * [misc]simplify: iters left: 3 (49 enodes) 1550698333.101 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.101 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698333.101 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698333.101 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698333.101 * * [misc]simplify: Extracting #4: cost 15 inf + 103 1550698333.101 * * [misc]simplify: Extracting #5: cost 13 inf + 486 1550698333.102 * * [misc]simplify: Extracting #6: cost 10 inf + 530 1550698333.102 * * [misc]simplify: Extracting #7: cost 5 inf + 942 1550698333.103 * * [misc]simplify: Extracting #8: cost 1 inf + 2357 1550698333.103 * * [misc]simplify: Extracting #9: cost 0 inf + 2908 1550698333.104 * [exit]simplify: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698333.104 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698333.104 * * * * [misc]progress: [ 80 / 134 ] simplifiying candidate # 1550698333.105 * [enter]simplify: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698333.105 * * [misc]simplify: iters left: 6 (14 enodes) 1550698333.114 * * [misc]simplify: iters left: 5 (44 enodes) 1550698333.128 * * [misc]simplify: iters left: 4 (48 enodes) 1550698333.143 * * [misc]simplify: iters left: 3 (49 enodes) 1550698333.158 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.158 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698333.158 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698333.158 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698333.158 * * [misc]simplify: Extracting #4: cost 15 inf + 103 1550698333.159 * * [misc]simplify: Extracting #5: cost 13 inf + 406 1550698333.159 * * [misc]simplify: Extracting #6: cost 10 inf + 450 1550698333.159 * * [misc]simplify: Extracting #7: cost 5 inf + 862 1550698333.160 * * [misc]simplify: Extracting #8: cost 1 inf + 2237 1550698333.161 * * [misc]simplify: Extracting #9: cost 0 inf + 2748 1550698333.162 * [exit]simplify: Simplified to (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698333.162 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698333.162 * [enter]simplify: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698333.162 * * [misc]simplify: iters left: 6 (14 enodes) 1550698333.169 * * [misc]simplify: iters left: 5 (44 enodes) 1550698333.184 * * [misc]simplify: iters left: 4 (48 enodes) 1550698333.198 * * [misc]simplify: iters left: 3 (49 enodes) 1550698333.212 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.212 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698333.212 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698333.212 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698333.213 * * [misc]simplify: Extracting #4: cost 15 inf + 103 1550698333.213 * * [misc]simplify: Extracting #5: cost 13 inf + 406 1550698333.213 * * [misc]simplify: Extracting #6: cost 10 inf + 450 1550698333.213 * * [misc]simplify: Extracting #7: cost 5 inf + 862 1550698333.214 * * [misc]simplify: Extracting #8: cost 1 inf + 2237 1550698333.215 * * [misc]simplify: Extracting #9: cost 0 inf + 2748 1550698333.216 * [exit]simplify: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698333.216 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698333.216 * * * * [misc]progress: [ 81 / 134 ] simplifiying candidate # 1550698333.216 * [enter]simplify: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) 1) 1550698333.216 * * [misc]simplify: iters left: 6 (13 enodes) 1550698333.224 * * [misc]simplify: iters left: 5 (41 enodes) 1550698333.238 * * [misc]simplify: iters left: 4 (47 enodes) 1550698333.252 * * [misc]simplify: iters left: 3 (48 enodes) 1550698333.269 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.269 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698333.270 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550698333.270 * * [misc]simplify: Extracting #3: cost 9 inf + 105 1550698333.270 * * [misc]simplify: Extracting #4: cost 10 inf + 205 1550698333.270 * * [misc]simplify: Extracting #5: cost 7 inf + 249 1550698333.270 * * [misc]simplify: Extracting #6: cost 4 inf + 496 1550698333.271 * * [misc]simplify: Extracting #7: cost 1 inf + 1092 1550698333.271 * * [misc]simplify: Extracting #8: cost 0 inf + 1483 1550698333.272 * [exit]simplify: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) 1550698333.272 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))) 1550698333.272 * [enter]simplify: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)) 1550698333.272 * * [misc]simplify: iters left: 6 (13 enodes) 1550698333.279 * * [misc]simplify: iters left: 5 (41 enodes) 1550698333.300 * * [misc]simplify: iters left: 4 (45 enodes) 1550698333.313 * * [misc]simplify: iters left: 3 (46 enodes) 1550698333.326 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.327 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698333.327 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698333.327 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550698333.327 * * [misc]simplify: Extracting #4: cost 12 inf + 145 1550698333.327 * * [misc]simplify: Extracting #5: cost 12 inf + 286 1550698333.327 * * [misc]simplify: Extracting #6: cost 9 inf + 330 1550698333.328 * * [misc]simplify: Extracting #7: cost 6 inf + 577 1550698333.328 * * [misc]simplify: Extracting #8: cost 2 inf + 1644 1550698333.329 * * [misc]simplify: Extracting #9: cost 0 inf + 2506 1550698333.329 * [exit]simplify: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)) 1550698333.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (/ (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (sqrt k)))) 1550698333.330 * * * * [misc]progress: [ 82 / 134 ] simplifiying candidate # 1550698333.350 * [enter]simplify: Simplifying (/ (pow (/ -2 1) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698333.350 * * [misc]simplify: iters left: 6 (12 enodes) 1550698333.360 * * [misc]simplify: iters left: 5 (40 enodes) 1550698333.383 * * [misc]simplify: iters left: 4 (48 enodes) 1550698333.398 * * [misc]simplify: iters left: 3 (49 enodes) 1550698333.425 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.425 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698333.425 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698333.425 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1550698333.425 * * [misc]simplify: Extracting #4: cost 16 inf + 4 1550698333.425 * * [misc]simplify: Extracting #5: cost 7 inf + 1024 1550698333.426 * * [misc]simplify: Extracting #6: cost 3 inf + 2125 1550698333.426 * * [misc]simplify: Extracting #7: cost 0 inf + 3184 1550698333.427 * [exit]simplify: Simplified to (/ (/ (pow -2 (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1550698333.427 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow -2 (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698333.428 * [enter]simplify: Simplifying (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698333.428 * * [misc]simplify: iters left: 6 (13 enodes) 1550698333.435 * * [misc]simplify: iters left: 5 (43 enodes) 1550698333.449 * * [misc]simplify: iters left: 4 (52 enodes) 1550698333.465 * * [misc]simplify: iters left: 3 (57 enodes) 1550698333.568 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.569 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698333.569 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698333.569 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550698333.570 * * [misc]simplify: Extracting #4: cost 18 inf + 90 1550698333.570 * * [misc]simplify: Extracting #5: cost 7 inf + 1074 1550698333.571 * * [misc]simplify: Extracting #6: cost 1 inf + 2161 1550698333.572 * * [misc]simplify: Extracting #7: cost 0 inf + 2672 1550698333.572 * [exit]simplify: Simplified to (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698333.576 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow -2 (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698333.576 * * * * [misc]progress: [ 83 / 134 ] simplifiying candidate # 1550698333.579 * [enter]simplify: Simplifying (/ (pow (/ -2 1) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698333.579 * * [misc]simplify: iters left: 5 (11 enodes) 1550698333.586 * * [misc]simplify: iters left: 4 (35 enodes) 1550698333.599 * * [misc]simplify: iters left: 3 (41 enodes) 1550698333.612 * * [misc]simplify: iters left: 2 (42 enodes) 1550698333.624 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.624 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698333.624 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698333.625 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698333.625 * * [misc]simplify: Extracting #4: cost 8 inf + 209 1550698333.625 * * [misc]simplify: Extracting #5: cost 3 inf + 717 1550698333.625 * * [misc]simplify: Extracting #6: cost 0 inf + 1764 1550698333.626 * [exit]simplify: Simplified to (/ (pow -2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698333.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow -2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698333.626 * [enter]simplify: Simplifying (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698333.626 * * [misc]simplify: iters left: 6 (13 enodes) 1550698333.633 * * [misc]simplify: iters left: 5 (43 enodes) 1550698333.648 * * [misc]simplify: iters left: 4 (52 enodes) 1550698333.664 * * [misc]simplify: iters left: 3 (57 enodes) 1550698333.680 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.680 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698333.680 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698333.680 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550698333.680 * * [misc]simplify: Extracting #4: cost 18 inf + 90 1550698333.680 * * [misc]simplify: Extracting #5: cost 7 inf + 994 1550698333.681 * * [misc]simplify: Extracting #6: cost 1 inf + 2041 1550698333.681 * * [misc]simplify: Extracting #7: cost 0 inf + 2512 1550698333.682 * [exit]simplify: Simplified to (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698333.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow -2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698333.682 * * * * [misc]progress: [ 84 / 134 ] simplifiying candidate # 1550698333.683 * [enter]simplify: Simplifying (/ (pow (/ -2 1) (fma -1/2 k 1/2)) 1) 1550698333.683 * * [misc]simplify: iters left: 5 (9 enodes) 1550698333.691 * * [misc]simplify: iters left: 4 (27 enodes) 1550698333.699 * * [misc]simplify: iters left: 3 (33 enodes) 1550698333.709 * * [misc]simplify: iters left: 2 (34 enodes) 1550698333.719 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.719 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698333.719 * * [misc]simplify: Extracting #2: cost 8 inf + 2 1550698333.719 * * [misc]simplify: Extracting #3: cost 2 inf + 432 1550698333.720 * * [misc]simplify: Extracting #4: cost 0 inf + 743 1550698333.720 * [exit]simplify: Simplified to (pow -2 (fma -1/2 k 1/2)) 1550698333.720 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow -2 (fma -1/2 k 1/2)) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))) 1550698333.720 * [enter]simplify: Simplifying (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)) 1550698333.720 * * [misc]simplify: iters left: 6 (12 enodes) 1550698333.727 * * [misc]simplify: iters left: 5 (40 enodes) 1550698333.904 * * [misc]simplify: iters left: 4 (49 enodes) 1550698333.925 * * [misc]simplify: iters left: 3 (54 enodes) 1550698333.940 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.940 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698333.940 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698333.941 * * [misc]simplify: Extracting #3: cost 18 inf + 42 1550698333.941 * * [misc]simplify: Extracting #4: cost 14 inf + 172 1550698333.941 * * [misc]simplify: Extracting #5: cost 5 inf + 1225 1550698333.942 * * [misc]simplify: Extracting #6: cost 1 inf + 1839 1550698333.942 * * [misc]simplify: Extracting #7: cost 0 inf + 2270 1550698333.943 * [exit]simplify: Simplified to (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)) 1550698333.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow -2 (fma -1/2 k 1/2)) (/ (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))) 1550698333.943 * * * * [misc]progress: [ 85 / 134 ] simplifiying candidate # 1550698333.944 * [enter]simplify: Simplifying (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698333.944 * * [misc]simplify: iters left: 6 (12 enodes) 1550698333.951 * * [misc]simplify: iters left: 5 (41 enodes) 1550698333.964 * * [misc]simplify: iters left: 4 (47 enodes) 1550698333.979 * * [misc]simplify: iters left: 3 (48 enodes) 1550698333.993 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698333.993 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698333.993 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698333.994 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1550698333.994 * * [misc]simplify: Extracting #4: cost 12 inf + 328 1550698333.994 * * [misc]simplify: Extracting #5: cost 5 inf + 1654 1550698333.995 * * [misc]simplify: Extracting #6: cost 1 inf + 2755 1550698333.995 * * [misc]simplify: Extracting #7: cost 0 inf + 3184 1550698333.996 * [exit]simplify: Simplified to (/ (pow 2 (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698333.996 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698333.997 * [enter]simplify: Simplifying (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698333.997 * * [misc]simplify: iters left: 6 (13 enodes) 1550698334.004 * * [misc]simplify: iters left: 5 (45 enodes) 1550698334.018 * * [misc]simplify: iters left: 4 (51 enodes) 1550698334.033 * * [misc]simplify: iters left: 3 (52 enodes) 1550698334.048 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.048 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698334.048 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698334.048 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550698334.048 * * [misc]simplify: Extracting #4: cost 14 inf + 209 1550698334.049 * * [misc]simplify: Extracting #5: cost 1 inf + 2216 1550698334.049 * * [misc]simplify: Extracting #6: cost 0 inf + 2258 1550698334.050 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698334.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698334.050 * * * * [misc]progress: [ 86 / 134 ] simplifiying candidate # 1550698334.051 * [enter]simplify: Simplifying (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698334.051 * * [misc]simplify: iters left: 5 (11 enodes) 1550698334.058 * * [misc]simplify: iters left: 4 (36 enodes) 1550698334.073 * * [misc]simplify: iters left: 3 (40 enodes) 1550698334.086 * * [misc]simplify: iters left: 2 (41 enodes) 1550698334.099 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.099 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698334.099 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698334.099 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698334.099 * * [misc]simplify: Extracting #4: cost 8 inf + 209 1550698334.099 * * [misc]simplify: Extracting #5: cost 3 inf + 717 1550698334.100 * * [misc]simplify: Extracting #6: cost 0 inf + 1764 1550698334.100 * [exit]simplify: Simplified to (/ (pow 2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698334.100 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698334.101 * [enter]simplify: Simplifying (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698334.101 * * [misc]simplify: iters left: 6 (13 enodes) 1550698334.108 * * [misc]simplify: iters left: 5 (45 enodes) 1550698334.123 * * [misc]simplify: iters left: 4 (51 enodes) 1550698334.138 * * [misc]simplify: iters left: 3 (52 enodes) 1550698334.152 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.153 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698334.153 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698334.153 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550698334.153 * * [misc]simplify: Extracting #4: cost 14 inf + 169 1550698334.153 * * [misc]simplify: Extracting #5: cost 1 inf + 2056 1550698334.154 * * [misc]simplify: Extracting #6: cost 0 inf + 2098 1550698334.154 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698334.154 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698334.155 * * * * [misc]progress: [ 87 / 134 ] simplifiying candidate # 1550698334.155 * [enter]simplify: Simplifying (/ (pow (/ -2 -1) (fma -1/2 k 1/2)) 1) 1550698334.155 * * [misc]simplify: iters left: 5 (10 enodes) 1550698334.162 * * [misc]simplify: iters left: 4 (33 enodes) 1550698334.186 * * [misc]simplify: iters left: 3 (39 enodes) 1550698334.217 * * [misc]simplify: iters left: 2 (40 enodes) 1550698334.243 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.243 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698334.243 * * [misc]simplify: Extracting #2: cost 8 inf + 2 1550698334.243 * * [misc]simplify: Extracting #3: cost 2 inf + 643 1550698334.243 * * [misc]simplify: Extracting #4: cost 0 inf + 743 1550698334.244 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1550698334.244 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt k)))) 1550698334.244 * [enter]simplify: Simplifying (/ (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2)) (sqrt k)) 1550698334.248 * * [misc]simplify: iters left: 6 (12 enodes) 1550698334.259 * * [misc]simplify: iters left: 5 (42 enodes) 1550698334.290 * * [misc]simplify: iters left: 4 (48 enodes) 1550698334.311 * * [misc]simplify: iters left: 3 (49 enodes) 1550698334.325 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.325 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698334.325 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698334.325 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550698334.325 * * [misc]simplify: Extracting #4: cost 14 inf + 46 1550698334.326 * * [misc]simplify: Extracting #5: cost 3 inf + 1098 1550698334.326 * * [misc]simplify: Extracting #6: cost 0 inf + 1856 1550698334.327 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)) 1550698334.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)))) 1550698334.327 * * * * [misc]progress: [ 88 / 134 ] simplifiying candidate # 1550698334.328 * [enter]simplify: Simplifying (/ (pow 1 (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698334.328 * * [misc]simplify: iters left: 6 (10 enodes) 1550698334.333 * * [misc]simplify: iters left: 5 (34 enodes) 1550698334.344 * * [misc]simplify: iters left: 4 (44 enodes) 1550698334.358 * * [misc]simplify: iters left: 3 (47 enodes) 1550698334.371 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.371 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698334.371 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550698334.371 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1550698334.372 * * [misc]simplify: Extracting #4: cost 8 inf + 326 1550698334.372 * * [misc]simplify: Extracting #5: cost 1 inf + 1538 1550698334.372 * * [misc]simplify: Extracting #6: cost 0 inf + 1700 1550698334.373 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698334.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698334.373 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698334.374 * * [misc]simplify: iters left: 6 (15 enodes) 1550698334.382 * * [misc]simplify: iters left: 5 (52 enodes) 1550698334.399 * * [misc]simplify: iters left: 4 (73 enodes) 1550698334.423 * * [misc]simplify: iters left: 3 (104 enodes) 1550698334.453 * * [misc]simplify: iters left: 2 (134 enodes) 1550698334.494 * * [misc]simplify: iters left: 1 (159 enodes) 1550698334.539 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.539 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698334.539 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698334.540 * * [misc]simplify: Extracting #3: cost 37 inf + 0 1550698334.540 * * [misc]simplify: Extracting #4: cost 36 inf + 584 1550698334.541 * * [misc]simplify: Extracting #5: cost 10 inf + 1994 1550698334.543 * * [misc]simplify: Extracting #6: cost 1 inf + 3497 1550698334.545 * * [misc]simplify: Extracting #7: cost 0 inf + 4007 1550698334.546 * [exit]simplify: Simplified to (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (cbrt (sqrt k))) 1550698334.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1550698334.547 * * * * [misc]progress: [ 89 / 134 ] simplifiying candidate # 1550698334.547 * [enter]simplify: Simplifying (/ (pow 1 (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698334.547 * * [misc]simplify: iters left: 4 (9 enodes) 1550698334.552 * * [misc]simplify: iters left: 3 (29 enodes) 1550698334.562 * * [misc]simplify: iters left: 2 (35 enodes) 1550698334.572 * * [misc]simplify: iters left: 1 (36 enodes) 1550698334.582 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.583 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698334.583 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698334.583 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550698334.583 * * [misc]simplify: Extracting #4: cost 4 inf + 124 1550698334.583 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1550698334.583 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550698334.583 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698334.584 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698334.584 * * [misc]simplify: iters left: 6 (15 enodes) 1550698334.592 * * [misc]simplify: iters left: 5 (52 enodes) 1550698334.609 * * [misc]simplify: iters left: 4 (73 enodes) 1550698334.635 * * [misc]simplify: iters left: 3 (104 enodes) 1550698334.666 * * [misc]simplify: iters left: 2 (134 enodes) 1550698334.703 * * [misc]simplify: iters left: 1 (159 enodes) 1550698334.749 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.749 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698334.749 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698334.749 * * [misc]simplify: Extracting #3: cost 37 inf + 0 1550698334.750 * * [misc]simplify: Extracting #4: cost 36 inf + 504 1550698334.751 * * [misc]simplify: Extracting #5: cost 10 inf + 1914 1550698334.753 * * [misc]simplify: Extracting #6: cost 1 inf + 3377 1550698334.754 * * [misc]simplify: Extracting #7: cost 0 inf + 3847 1550698334.758 * [exit]simplify: Simplified to (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698334.758 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1550698334.758 * * * * [misc]progress: [ 90 / 134 ] simplifiying candidate # 1550698334.759 * [enter]simplify: Simplifying (/ (pow 1 (fma -1/2 k 1/2)) 1) 1550698334.759 * * [misc]simplify: iters left: 4 (7 enodes) 1550698334.763 * * [misc]simplify: iters left: 3 (21 enodes) 1550698334.770 * * [misc]simplify: iters left: 2 (27 enodes) 1550698334.779 * * [misc]simplify: iters left: 1 (28 enodes) 1550698334.787 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.787 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698334.787 * [exit]simplify: Simplified to 1 1550698334.787 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))) 1550698334.787 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)) 1550698334.787 * * [misc]simplify: iters left: 6 (14 enodes) 1550698334.795 * * [misc]simplify: iters left: 5 (49 enodes) 1550698334.812 * * [misc]simplify: iters left: 4 (70 enodes) 1550698334.835 * * [misc]simplify: iters left: 3 (101 enodes) 1550698334.866 * * [misc]simplify: iters left: 2 (131 enodes) 1550698334.896 * * [misc]simplify: iters left: 1 (155 enodes) 1550698334.942 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.942 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698334.942 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698334.942 * * [misc]simplify: Extracting #3: cost 32 inf + 83 1550698334.942 * * [misc]simplify: Extracting #4: cost 38 inf + 216 1550698334.943 * * [misc]simplify: Extracting #5: cost 14 inf + 1420 1550698334.945 * * [misc]simplify: Extracting #6: cost 0 inf + 3605 1550698334.947 * [exit]simplify: Simplified to (/ (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)) (sqrt k)) 1550698334.947 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)) (sqrt k)))) 1550698334.947 * * * * [misc]progress: [ 91 / 134 ] simplifiying candidate # 1550698334.947 * [enter]simplify: Simplifying (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698334.947 * * [misc]simplify: iters left: 6 (12 enodes) 1550698334.954 * * [misc]simplify: iters left: 5 (41 enodes) 1550698334.967 * * [misc]simplify: iters left: 4 (47 enodes) 1550698334.981 * * [misc]simplify: iters left: 3 (48 enodes) 1550698334.996 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698334.996 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698334.996 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698334.996 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550698334.996 * * [misc]simplify: Extracting #4: cost 18 inf + 5 1550698334.997 * * [misc]simplify: Extracting #5: cost 7 inf + 1191 1550698334.997 * * [misc]simplify: Extracting #6: cost 3 inf + 2374 1550698334.998 * * [misc]simplify: Extracting #7: cost 0 inf + 3515 1550698334.999 * [exit]simplify: Simplified to (/ (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1550698334.999 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698334.999 * [enter]simplify: Simplifying (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698334.999 * * [misc]simplify: iters left: 6 (13 enodes) 1550698335.007 * * [misc]simplify: iters left: 5 (45 enodes) 1550698335.021 * * [misc]simplify: iters left: 4 (52 enodes) 1550698335.036 * * [misc]simplify: iters left: 3 (53 enodes) 1550698335.052 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.052 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698335.052 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698335.052 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550698335.052 * * [misc]simplify: Extracting #4: cost 10 inf + 334 1550698335.053 * * [misc]simplify: Extracting #5: cost 0 inf + 2252 1550698335.053 * [exit]simplify: Simplified to (/ (pow (- n) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698335.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (- n) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698335.053 * * * * [misc]progress: [ 92 / 134 ] simplifiying candidate # 1550698335.054 * [enter]simplify: Simplifying (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698335.054 * * [misc]simplify: iters left: 5 (11 enodes) 1550698335.062 * * [misc]simplify: iters left: 4 (36 enodes) 1550698335.074 * * [misc]simplify: iters left: 3 (40 enodes) 1550698335.086 * * [misc]simplify: iters left: 2 (41 enodes) 1550698335.098 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.098 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698335.098 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698335.098 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698335.098 * * [misc]simplify: Extracting #4: cost 10 inf + 210 1550698335.098 * * [misc]simplify: Extracting #5: cost 3 inf + 843 1550698335.099 * * [misc]simplify: Extracting #6: cost 0 inf + 2013 1550698335.099 * [exit]simplify: Simplified to (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698335.099 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698335.100 * [enter]simplify: Simplifying (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698335.100 * * [misc]simplify: iters left: 6 (13 enodes) 1550698335.108 * * [misc]simplify: iters left: 5 (45 enodes) 1550698335.121 * * [misc]simplify: iters left: 4 (52 enodes) 1550698335.137 * * [misc]simplify: iters left: 3 (53 enodes) 1550698335.152 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.152 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698335.152 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698335.152 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550698335.152 * * [misc]simplify: Extracting #4: cost 10 inf + 294 1550698335.153 * * [misc]simplify: Extracting #5: cost 0 inf + 2092 1550698335.153 * [exit]simplify: Simplified to (/ (pow (- n) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698335.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow (- n) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698335.154 * * * * [misc]progress: [ 93 / 134 ] simplifiying candidate # 1550698335.154 * [enter]simplify: Simplifying (/ (pow (* -2 PI) (fma -1/2 k 1/2)) 1) 1550698335.154 * * [misc]simplify: iters left: 5 (10 enodes) 1550698335.160 * * [misc]simplify: iters left: 4 (33 enodes) 1550698335.171 * * [misc]simplify: iters left: 3 (39 enodes) 1550698335.183 * * [misc]simplify: iters left: 2 (40 enodes) 1550698335.195 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.195 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698335.195 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550698335.195 * * [misc]simplify: Extracting #3: cost 8 inf + 6 1550698335.195 * * [misc]simplify: Extracting #4: cost 0 inf + 910 1550698335.196 * [exit]simplify: Simplified to (pow (* -2 PI) (fma -1/2 k 1/2)) 1550698335.196 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* -2 PI) (fma -1/2 k 1/2)) (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))) 1550698335.196 * [enter]simplify: Simplifying (/ (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)) 1550698335.196 * * [misc]simplify: iters left: 6 (12 enodes) 1550698335.208 * * [misc]simplify: iters left: 5 (42 enodes) 1550698335.222 * * [misc]simplify: iters left: 4 (49 enodes) 1550698335.400 * * [misc]simplify: iters left: 3 (50 enodes) 1550698335.438 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.438 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698335.438 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698335.438 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550698335.438 * * [misc]simplify: Extracting #4: cost 12 inf + 89 1550698335.438 * * [misc]simplify: Extracting #5: cost 3 inf + 1094 1550698335.439 * * [misc]simplify: Extracting #6: cost 0 inf + 1850 1550698335.439 * [exit]simplify: Simplified to (/ (pow (- n) (fma -1/2 k 1/2)) (sqrt k)) 1550698335.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* -2 PI) (fma -1/2 k 1/2)) (/ (pow (- n) (fma -1/2 k 1/2)) (sqrt k)))) 1550698335.441 * * * * [misc]progress: [ 94 / 134 ] simplifiying candidate # 1550698335.442 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698335.442 * * [misc]simplify: iters left: 6 (14 enodes) 1550698335.461 * * [misc]simplify: iters left: 5 (49 enodes) 1550698335.478 * * [misc]simplify: iters left: 4 (62 enodes) 1550698335.496 * * [misc]simplify: iters left: 3 (65 enodes) 1550698335.512 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.512 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698335.512 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698335.513 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1550698335.513 * * [misc]simplify: Extracting #4: cost 17 inf + 492 1550698335.513 * * [misc]simplify: Extracting #5: cost 7 inf + 1781 1550698335.514 * * [misc]simplify: Extracting #6: cost 1 inf + 3210 1550698335.515 * * [misc]simplify: Extracting #7: cost 0 inf + 3679 1550698335.516 * [exit]simplify: Simplified to (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698335.516 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698335.516 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698335.516 * * [misc]simplify: iters left: 4 (9 enodes) 1550698335.521 * * [misc]simplify: iters left: 3 (29 enodes) 1550698335.530 * * [misc]simplify: iters left: 2 (33 enodes) 1550698335.540 * * [misc]simplify: iters left: 1 (34 enodes) 1550698335.551 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.551 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698335.551 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698335.551 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698335.551 * * [misc]simplify: Extracting #4: cost 9 inf + 208 1550698335.551 * * [misc]simplify: Extracting #5: cost 4 inf + 739 1550698335.552 * * [misc]simplify: Extracting #6: cost 0 inf + 1924 1550698335.552 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1550698335.552 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1550698335.552 * * * * [misc]progress: [ 95 / 134 ] simplifiying candidate # 1550698335.553 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698335.553 * * [misc]simplify: iters left: 6 (13 enodes) 1550698335.560 * * [misc]simplify: iters left: 5 (44 enodes) 1550698335.576 * * [misc]simplify: iters left: 4 (55 enodes) 1550698335.603 * * [misc]simplify: iters left: 3 (58 enodes) 1550698335.622 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.622 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698335.622 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698335.622 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1550698335.623 * * [misc]simplify: Extracting #4: cost 14 inf + 213 1550698335.623 * * [misc]simplify: Extracting #5: cost 5 inf + 912 1550698335.623 * * [misc]simplify: Extracting #6: cost 1 inf + 1750 1550698335.624 * * [misc]simplify: Extracting #7: cost 0 inf + 2179 1550698335.625 * [exit]simplify: Simplified to (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698335.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698335.625 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698335.625 * * [misc]simplify: iters left: 4 (9 enodes) 1550698335.630 * * [misc]simplify: iters left: 3 (29 enodes) 1550698335.640 * * [misc]simplify: iters left: 2 (33 enodes) 1550698335.650 * * [misc]simplify: iters left: 1 (34 enodes) 1550698335.660 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.660 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698335.660 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698335.660 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698335.660 * * [misc]simplify: Extracting #4: cost 9 inf + 168 1550698335.660 * * [misc]simplify: Extracting #5: cost 4 inf + 659 1550698335.661 * * [misc]simplify: Extracting #6: cost 0 inf + 1764 1550698335.661 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698335.661 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (/ PI 1/2) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1550698335.661 * * * * [misc]progress: [ 96 / 134 ] simplifiying candidate # 1550698335.662 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) 1) 1550698335.662 * * [misc]simplify: iters left: 6 (12 enodes) 1550698335.669 * * [misc]simplify: iters left: 5 (41 enodes) 1550698335.684 * * [misc]simplify: iters left: 4 (54 enodes) 1550698335.700 * * [misc]simplify: iters left: 3 (57 enodes) 1550698335.717 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.717 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698335.717 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1550698335.717 * * [misc]simplify: Extracting #3: cost 12 inf + 8 1550698335.717 * * [misc]simplify: Extracting #4: cost 2 inf + 712 1550698335.718 * * [misc]simplify: Extracting #5: cost 0 inf + 1080 1550698335.718 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1550698335.718 * [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)))) 1550698335.719 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1550698335.719 * * [misc]simplify: iters left: 4 (8 enodes) 1550698335.723 * * [misc]simplify: iters left: 3 (26 enodes) 1550698335.732 * * [misc]simplify: iters left: 2 (30 enodes) 1550698335.745 * * [misc]simplify: iters left: 1 (31 enodes) 1550698335.754 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698335.754 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698335.754 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698335.754 * * [misc]simplify: Extracting #3: cost 10 inf + 43 1550698335.754 * * [misc]simplify: Extracting #4: cost 8 inf + 86 1550698335.755 * * [misc]simplify: Extracting #5: cost 2 inf + 904 1550698335.755 * * [misc]simplify: Extracting #6: cost 0 inf + 1522 1550698335.755 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1550698335.755 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1550698335.756 * * * * [misc]progress: [ 97 / 134 ] simplifiying candidate # 1550698335.767 * [enter]simplify: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698335.767 * * [misc]simplify: iters left: 6 (18 enodes) 1550698335.976 * * [misc]simplify: iters left: 5 (67 enodes) 1550698335.999 * * [misc]simplify: iters left: 4 (103 enodes) 1550698336.022 * * [misc]simplify: iters left: 3 (141 enodes) 1550698336.062 * * [misc]simplify: iters left: 2 (174 enodes) 1550698336.289 * * [misc]simplify: iters left: 1 (198 enodes) 1550698336.372 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698336.372 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698336.372 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1550698336.373 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1550698336.373 * * [misc]simplify: Extracting #4: cost 52 inf + 1 1550698336.373 * * [misc]simplify: Extracting #5: cost 55 inf + 457 1550698336.374 * * [misc]simplify: Extracting #6: cost 26 inf + 2134 1550698336.377 * * [misc]simplify: Extracting #7: cost 6 inf + 8809 1550698336.381 * * [misc]simplify: Extracting #8: cost 0 inf + 12509 1550698336.385 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (/ PI 1/2) n) (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (/ PI 1/2) n) (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698336.385 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (/ PI 1/2) n) (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (/ PI 1/2) n) (fma k -1/2 1/2))) (cbrt (sqrt k)))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k))))) 1550698336.386 * [enter]simplify: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698336.386 * * [misc]simplify: iters left: 6 (16 enodes) 1550698336.395 * * [misc]simplify: iters left: 5 (55 enodes) 1550698336.413 * * [misc]simplify: iters left: 4 (76 enodes) 1550698336.441 * * [misc]simplify: iters left: 3 (107 enodes) 1550698336.476 * * [misc]simplify: iters left: 2 (137 enodes) 1550698336.517 * * [misc]simplify: iters left: 1 (162 enodes) 1550698336.561 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698336.561 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698336.561 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698336.561 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698336.562 * * [misc]simplify: Extracting #4: cost 37 inf + 42 1550698336.562 * * [misc]simplify: Extracting #5: cost 38 inf + 583 1550698336.563 * * [misc]simplify: Extracting #6: cost 12 inf + 1953 1550698336.565 * * [misc]simplify: Extracting #7: cost 0 inf + 5033 1550698336.567 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (cbrt (sqrt k))) 1550698336.567 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (cbrt (sqrt k))))) 1550698336.567 * * * * [misc]progress: [ 98 / 134 ] simplifiying candidate # 1550698336.567 * [enter]simplify: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt (sqrt k))) 1550698336.568 * * [misc]simplify: iters left: 6 (17 enodes) 1550698336.577 * * [misc]simplify: iters left: 5 (60 enodes) 1550698336.597 * * [misc]simplify: iters left: 4 (85 enodes) 1550698336.634 * * [misc]simplify: iters left: 3 (119 enodes) 1550698336.671 * * [misc]simplify: iters left: 2 (149 enodes) 1550698336.713 * * [misc]simplify: iters left: 1 (173 enodes) 1550698336.761 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698336.761 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698336.762 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550698336.762 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550698336.762 * * [misc]simplify: Extracting #4: cost 41 inf + 164 1550698336.762 * * [misc]simplify: Extracting #5: cost 45 inf + 420 1550698336.763 * * [misc]simplify: Extracting #6: cost 18 inf + 1873 1550698336.765 * * [misc]simplify: Extracting #7: cost 5 inf + 5304 1550698336.770 * * [misc]simplify: Extracting #8: cost 0 inf + 8099 1550698336.773 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 (* PI n)) (fma k -1/2 1/2))) (cbrt (pow (* 2 (* PI n)) (fma k -1/2 1/2)))) (sqrt (sqrt k))) 1550698336.773 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 (* PI n)) (fma k -1/2 1/2))) (cbrt (pow (* 2 (* PI n)) (fma k -1/2 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k))))) 1550698336.774 * [enter]simplify: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698336.774 * * [misc]simplify: iters left: 6 (16 enodes) 1550698336.783 * * [misc]simplify: iters left: 5 (55 enodes) 1550698336.802 * * [misc]simplify: iters left: 4 (76 enodes) 1550698336.827 * * [misc]simplify: iters left: 3 (107 enodes) 1550698336.859 * * [misc]simplify: iters left: 2 (137 enodes) 1550698336.898 * * [misc]simplify: iters left: 1 (162 enodes) 1550698337.128 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698337.129 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698337.129 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698337.129 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698337.130 * * [misc]simplify: Extracting #4: cost 37 inf + 42 1550698337.130 * * [misc]simplify: Extracting #5: cost 38 inf + 503 1550698337.131 * * [misc]simplify: Extracting #6: cost 12 inf + 1873 1550698337.133 * * [misc]simplify: Extracting #7: cost 0 inf + 4873 1550698337.135 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k))) 1550698337.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k))))) 1550698337.146 * * * * [misc]progress: [ 99 / 134 ] simplifiying candidate # 1550698337.157 * [enter]simplify: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) 1) 1550698337.157 * * [misc]simplify: iters left: 6 (16 enodes) 1550698337.179 * * [misc]simplify: iters left: 5 (57 enodes) 1550698337.200 * * [misc]simplify: iters left: 4 (88 enodes) 1550698337.225 * * [misc]simplify: iters left: 3 (120 enodes) 1550698337.259 * * [misc]simplify: iters left: 2 (150 enodes) 1550698337.301 * * [misc]simplify: iters left: 1 (174 enodes) 1550698337.412 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698337.412 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698337.412 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550698337.412 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698337.412 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1550698337.413 * * [misc]simplify: Extracting #5: cost 40 inf + 219 1550698337.414 * * [misc]simplify: Extracting #6: cost 11 inf + 1797 1550698337.416 * * [misc]simplify: Extracting #7: cost 2 inf + 4471 1550698337.422 * * [misc]simplify: Extracting #8: cost 0 inf + 5414 1550698337.430 * [exit]simplify: Simplified to (* (cbrt (pow (* n (* 2 PI)) (fma k -1/2 1/2))) (cbrt (pow (* n (* 2 PI)) (fma k -1/2 1/2)))) 1550698337.441 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (fma k -1/2 1/2))) (cbrt (pow (* n (* 2 PI)) (fma k -1/2 1/2)))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)))) 1550698337.450 * [enter]simplify: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)) 1550698337.450 * * [misc]simplify: iters left: 6 (15 enodes) 1550698337.459 * * [misc]simplify: iters left: 5 (52 enodes) 1550698337.477 * * [misc]simplify: iters left: 4 (73 enodes) 1550698337.502 * * [misc]simplify: iters left: 3 (104 enodes) 1550698337.636 * * [misc]simplify: iters left: 2 (134 enodes) 1550698337.674 * * [misc]simplify: iters left: 1 (159 enodes) 1550698337.719 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698337.719 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698337.719 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698337.719 * * [misc]simplify: Extracting #3: cost 9 inf + 42 1550698337.719 * * [misc]simplify: Extracting #4: cost 34 inf + 83 1550698337.720 * * [misc]simplify: Extracting #5: cost 36 inf + 425 1550698337.721 * * [misc]simplify: Extracting #6: cost 11 inf + 1794 1550698337.723 * * [misc]simplify: Extracting #7: cost 1 inf + 4115 1550698337.725 * * [misc]simplify: Extracting #8: cost 0 inf + 4625 1550698337.726 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (/ PI 1/2)) (fma k -1/2 1/2))) (sqrt k)) 1550698337.726 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) 1) (/ (cbrt (pow (* n (/ PI 1/2)) (fma k -1/2 1/2))) (sqrt k)))) 1550698337.727 * * * * [misc]progress: [ 100 / 134 ] simplifiying candidate # 1550698337.727 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698337.727 * * [misc]simplify: iters left: 6 (17 enodes) 1550698337.736 * * [misc]simplify: iters left: 5 (60 enodes) 1550698337.756 * * [misc]simplify: iters left: 4 (83 enodes) 1550698337.785 * * [misc]simplify: iters left: 3 (114 enodes) 1550698337.819 * * [misc]simplify: iters left: 2 (144 enodes) 1550698337.856 * * [misc]simplify: iters left: 1 (169 enodes) 1550698337.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698337.901 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698337.901 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550698337.901 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698337.901 * * [misc]simplify: Extracting #4: cost 41 inf + 42 1550698337.901 * * [misc]simplify: Extracting #5: cost 40 inf + 905 1550698337.903 * * [misc]simplify: Extracting #6: cost 15 inf + 2151 1550698337.904 * * [misc]simplify: Extracting #7: cost 6 inf + 3311 1550698337.906 * * [misc]simplify: Extracting #8: cost 4 inf + 4293 1550698337.908 * * [misc]simplify: Extracting #9: cost 0 inf + 6377 1550698337.913 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698337.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k))))) 1550698337.913 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698337.913 * * [misc]simplify: iters left: 6 (16 enodes) 1550698337.922 * * [misc]simplify: iters left: 5 (55 enodes) 1550698337.937 * * [misc]simplify: iters left: 4 (76 enodes) 1550698337.958 * * [misc]simplify: iters left: 3 (107 enodes) 1550698337.990 * * [misc]simplify: iters left: 2 (137 enodes) 1550698338.029 * * [misc]simplify: iters left: 1 (162 enodes) 1550698338.299 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698338.299 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698338.299 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698338.299 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698338.299 * * [misc]simplify: Extracting #4: cost 37 inf + 42 1550698338.306 * * [misc]simplify: Extracting #5: cost 38 inf + 583 1550698338.308 * * [misc]simplify: Extracting #6: cost 12 inf + 1953 1550698338.309 * * [misc]simplify: Extracting #7: cost 0 inf + 4873 1550698338.330 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (cbrt (sqrt k))) 1550698338.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (cbrt (sqrt k))))) 1550698338.330 * * * * [misc]progress: [ 101 / 134 ] simplifiying candidate # 1550698338.331 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698338.331 * * [misc]simplify: iters left: 6 (16 enodes) 1550698338.340 * * [misc]simplify: iters left: 5 (55 enodes) 1550698338.367 * * [misc]simplify: iters left: 4 (76 enodes) 1550698338.408 * * [misc]simplify: iters left: 3 (107 enodes) 1550698338.442 * * [misc]simplify: iters left: 2 (137 enodes) 1550698338.511 * * [misc]simplify: iters left: 1 (162 enodes) 1550698338.605 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698338.605 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698338.605 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698338.605 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698338.605 * * [misc]simplify: Extracting #4: cost 37 inf + 42 1550698338.606 * * [misc]simplify: Extracting #5: cost 38 inf + 503 1550698338.607 * * [misc]simplify: Extracting #6: cost 12 inf + 1873 1550698338.609 * * [misc]simplify: Extracting #7: cost 0 inf + 4713 1550698338.611 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k))) 1550698338.611 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k))))) 1550698338.611 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698338.612 * * [misc]simplify: iters left: 6 (16 enodes) 1550698338.621 * * [misc]simplify: iters left: 5 (55 enodes) 1550698338.638 * * [misc]simplify: iters left: 4 (76 enodes) 1550698338.663 * * [misc]simplify: iters left: 3 (107 enodes) 1550698338.695 * * [misc]simplify: iters left: 2 (137 enodes) 1550698338.738 * * [misc]simplify: iters left: 1 (162 enodes) 1550698338.785 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698338.785 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698338.785 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698338.785 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698338.785 * * [misc]simplify: Extracting #4: cost 37 inf + 42 1550698338.785 * * [misc]simplify: Extracting #5: cost 38 inf + 503 1550698338.787 * * [misc]simplify: Extracting #6: cost 12 inf + 1873 1550698338.788 * * [misc]simplify: Extracting #7: cost 0 inf + 4713 1550698338.790 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k))) 1550698338.790 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI n) 2) (fma k -1/2 1/2))) (sqrt (sqrt k))))) 1550698338.791 * * * * [misc]progress: [ 102 / 134 ] simplifiying candidate # 1550698338.791 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) 1) 1550698338.791 * * [misc]simplify: iters left: 6 (15 enodes) 1550698338.801 * * [misc]simplify: iters left: 5 (52 enodes) 1550698338.819 * * [misc]simplify: iters left: 4 (75 enodes) 1550698338.844 * * [misc]simplify: iters left: 3 (106 enodes) 1550698338.879 * * [misc]simplify: iters left: 2 (136 enodes) 1550698338.919 * * [misc]simplify: iters left: 1 (161 enodes) 1550698338.965 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698338.965 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698338.965 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698338.966 * * [misc]simplify: Extracting #3: cost 33 inf + 1 1550698338.966 * * [misc]simplify: Extracting #4: cost 34 inf + 344 1550698338.967 * * [misc]simplify: Extracting #5: cost 7 inf + 1756 1550698338.969 * * [misc]simplify: Extracting #6: cost 1 inf + 3057 1550698338.970 * * [misc]simplify: Extracting #7: cost 0 inf + 3448 1550698338.972 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (fma k -1/2 1/2))) 1550698338.972 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (fma k -1/2 1/2))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)))) 1550698338.973 * [enter]simplify: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (sqrt k)) 1550698338.973 * * [misc]simplify: iters left: 6 (15 enodes) 1550698338.981 * * [misc]simplify: iters left: 5 (52 enodes) 1550698338.999 * * [misc]simplify: iters left: 4 (73 enodes) 1550698339.157 * * [misc]simplify: iters left: 3 (104 enodes) 1550698339.195 * * [misc]simplify: iters left: 2 (134 enodes) 1550698339.233 * * [misc]simplify: iters left: 1 (159 enodes) 1550698339.279 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.279 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698339.279 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698339.279 * * [misc]simplify: Extracting #3: cost 9 inf + 42 1550698339.279 * * [misc]simplify: Extracting #4: cost 34 inf + 83 1550698339.280 * * [misc]simplify: Extracting #5: cost 36 inf + 425 1550698339.281 * * [misc]simplify: Extracting #6: cost 11 inf + 1794 1550698339.282 * * [misc]simplify: Extracting #7: cost 1 inf + 3995 1550698339.284 * * [misc]simplify: Extracting #8: cost 0 inf + 4465 1550698339.286 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (/ PI 1/2)) (fma k -1/2 1/2))) (sqrt k)) 1550698339.286 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) 1) (/ (sqrt (pow (* n (/ PI 1/2)) (fma k -1/2 1/2))) (sqrt k)))) 1550698339.286 * * * * [misc]progress: [ 103 / 134 ] simplifiying candidate # 1550698339.287 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698339.287 * * [misc]simplify: iters left: 6 (6 enodes) 1550698339.293 * * [misc]simplify: iters left: 5 (22 enodes) 1550698339.300 * * [misc]simplify: iters left: 4 (26 enodes) 1550698339.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.307 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698339.308 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550698339.308 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550698339.308 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1550698339.308 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1550698339.308 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1550698339.309 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698339.309 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698339.309 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698339.309 * * [misc]simplify: iters left: 6 (15 enodes) 1550698339.318 * * [misc]simplify: iters left: 5 (52 enodes) 1550698339.335 * * [misc]simplify: iters left: 4 (73 enodes) 1550698339.358 * * [misc]simplify: iters left: 3 (104 enodes) 1550698339.385 * * [misc]simplify: iters left: 2 (134 enodes) 1550698339.415 * * [misc]simplify: iters left: 1 (159 enodes) 1550698339.538 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.538 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698339.538 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698339.538 * * [misc]simplify: Extracting #3: cost 37 inf + 0 1550698339.539 * * [misc]simplify: Extracting #4: cost 36 inf + 584 1550698339.540 * * [misc]simplify: Extracting #5: cost 10 inf + 1994 1550698339.551 * * [misc]simplify: Extracting #6: cost 1 inf + 3497 1550698339.553 * * [misc]simplify: Extracting #7: cost 0 inf + 4007 1550698339.555 * [exit]simplify: Simplified to (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (cbrt (sqrt k))) 1550698339.555 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1550698339.555 * * * * [misc]progress: [ 104 / 134 ] simplifiying candidate # 1550698339.556 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1550698339.556 * * [misc]simplify: iters left: 4 (5 enodes) 1550698339.558 * * [misc]simplify: iters left: 3 (17 enodes) 1550698339.564 * * [misc]simplify: iters left: 2 (19 enodes) 1550698339.570 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.570 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698339.570 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698339.570 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550698339.570 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1550698339.570 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550698339.570 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698339.571 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698339.571 * * [misc]simplify: iters left: 6 (15 enodes) 1550698339.579 * * [misc]simplify: iters left: 5 (52 enodes) 1550698339.596 * * [misc]simplify: iters left: 4 (73 enodes) 1550698339.620 * * [misc]simplify: iters left: 3 (104 enodes) 1550698339.651 * * [misc]simplify: iters left: 2 (134 enodes) 1550698339.720 * * [misc]simplify: iters left: 1 (159 enodes) 1550698339.766 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.767 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698339.767 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698339.767 * * [misc]simplify: Extracting #3: cost 37 inf + 0 1550698339.767 * * [misc]simplify: Extracting #4: cost 36 inf + 504 1550698339.768 * * [misc]simplify: Extracting #5: cost 10 inf + 1914 1550698339.770 * * [misc]simplify: Extracting #6: cost 1 inf + 3377 1550698339.772 * * [misc]simplify: Extracting #7: cost 0 inf + 3847 1550698339.774 * [exit]simplify: Simplified to (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698339.774 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (/ PI 1/2)) (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1550698339.774 * * * * [misc]progress: [ 105 / 134 ] simplifiying candidate # 1550698339.774 * [enter]simplify: Simplifying (/ 1 1) 1550698339.774 * * [misc]simplify: iters left: 2 (2 enodes) 1550698339.776 * * [misc]simplify: iters left: 1 (6 enodes) 1550698339.778 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.779 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698339.779 * [exit]simplify: Simplified to 1 1550698339.779 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))) 1550698339.779 * [enter]simplify: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)) 1550698339.779 * * [misc]simplify: iters left: 6 (14 enodes) 1550698339.787 * * [misc]simplify: iters left: 5 (49 enodes) 1550698339.804 * * [misc]simplify: iters left: 4 (70 enodes) 1550698339.828 * * [misc]simplify: iters left: 3 (101 enodes) 1550698339.861 * * [misc]simplify: iters left: 2 (131 enodes) 1550698339.901 * * [misc]simplify: iters left: 1 (155 enodes) 1550698339.945 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.945 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698339.945 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698339.946 * * [misc]simplify: Extracting #3: cost 32 inf + 83 1550698339.946 * * [misc]simplify: Extracting #4: cost 38 inf + 216 1550698339.947 * * [misc]simplify: Extracting #5: cost 14 inf + 1420 1550698339.949 * * [misc]simplify: Extracting #6: cost 0 inf + 3605 1550698339.950 * [exit]simplify: Simplified to (/ (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)) (sqrt k)) 1550698339.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)) (sqrt k)))) 1550698339.950 * * * * [misc]progress: [ 106 / 134 ] simplifiying candidate # 1550698339.951 * * * * [misc]progress: [ 107 / 134 ] simplifiying candidate # 1550698339.951 * * * * [misc]progress: [ 108 / 134 ] simplifiying candidate # 1550698339.951 * * * * [misc]progress: [ 109 / 134 ] simplifiying candidate # 1550698339.951 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1550698339.951 * * [misc]simplify: iters left: 2 (3 enodes) 1550698339.952 * * [misc]simplify: iters left: 1 (9 enodes) 1550698339.955 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.955 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698339.955 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698339.955 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550698339.955 * * [misc]simplify: Extracting #4: cost 0 inf + 325 1550698339.955 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1550698339.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1550698339.956 * * * * [misc]progress: [ 110 / 134 ] simplifiying candidate # 1550698339.956 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1550698339.956 * * [misc]simplify: iters left: 2 (3 enodes) 1550698339.957 * * [misc]simplify: iters left: 1 (9 enodes) 1550698339.960 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.960 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698339.960 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698339.960 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550698339.960 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1550698339.961 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1550698339.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1550698339.961 * * * * [misc]progress: [ 111 / 134 ] simplifiying candidate # 1550698339.961 * [enter]simplify: Simplifying (sqrt k) 1550698339.961 * * [misc]simplify: iters left: 1 (2 enodes) 1550698339.962 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698339.962 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698339.962 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1550698339.962 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1550698339.962 * [exit]simplify: Simplified to (sqrt k) 1550698339.962 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) 1) (sqrt k))) 1550698339.962 * * * * [misc]progress: [ 112 / 134 ] simplifiying candidate # 1550698339.963 * [enter]simplify: Simplifying (pow (/ (* -2 PI) (/ -1 n)) (* -1/2 k)) 1550698339.963 * * [misc]simplify: iters left: 5 (11 enodes) 1550698339.970 * * [misc]simplify: iters left: 4 (39 enodes) 1550698339.983 * * [misc]simplify: iters left: 3 (57 enodes) 1550698340.006 * * [misc]simplify: iters left: 2 (89 enodes) 1550698340.034 * * [misc]simplify: iters left: 1 (119 enodes) 1550698340.069 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698340.069 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698340.069 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550698340.069 * * [misc]simplify: Extracting #3: cost 30 inf + 427 1550698340.070 * * [misc]simplify: Extracting #4: cost 3 inf + 1971 1550698340.072 * * [misc]simplify: Extracting #5: cost 0 inf + 2683 1550698340.074 * [exit]simplify: Simplified to (pow (* n (* 2 PI)) (* -1/2 k)) 1550698340.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (* -1/2 k)) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) 1/2)))) 1550698340.074 * * * * [misc]progress: [ 113 / 134 ] simplifiying candidate # 1550698340.075 * [enter]simplify: Simplifying (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (fma -1/2 k 1/2)) 1550698340.075 * * [misc]simplify: iters left: 6 (14 enodes) 1550698340.083 * * [misc]simplify: iters left: 5 (49 enodes) 1550698340.100 * * [misc]simplify: iters left: 4 (70 enodes) 1550698340.124 * * [misc]simplify: iters left: 3 (101 enodes) 1550698340.260 * * [misc]simplify: iters left: 2 (131 enodes) 1550698340.312 * * [misc]simplify: iters left: 1 (155 enodes) 1550698340.405 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698340.405 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698340.405 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550698340.405 * * [misc]simplify: Extracting #3: cost 9 inf + 103 1550698340.405 * * [misc]simplify: Extracting #4: cost 29 inf + 203 1550698340.406 * * [misc]simplify: Extracting #5: cost 34 inf + 459 1550698340.407 * * [misc]simplify: Extracting #6: cost 12 inf + 1829 1550698340.413 * * [misc]simplify: Extracting #7: cost 0 inf + 3635 1550698340.414 * [exit]simplify: Simplified to (pow (* (cbrt (/ n (/ 1/2 PI))) (cbrt (/ n (/ 1/2 PI)))) (fma -1/2 k 1/2)) 1550698340.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt (/ n (/ 1/2 PI))) (cbrt (/ n (/ 1/2 PI)))) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))))) 1550698340.428 * * * * [misc]progress: [ 114 / 134 ] simplifiying candidate # 1550698340.433 * [enter]simplify: Simplifying (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2)) 1550698340.433 * * [misc]simplify: iters left: 6 (13 enodes) 1550698340.450 * * [misc]simplify: iters left: 5 (46 enodes) 1550698340.480 * * [misc]simplify: iters left: 4 (67 enodes) 1550698340.512 * * [misc]simplify: iters left: 3 (98 enodes) 1550698340.782 * * [misc]simplify: iters left: 2 (128 enodes) 1550698340.829 * * [misc]simplify: iters left: 1 (153 enodes) 1550698340.873 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698340.873 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698340.873 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1550698340.873 * * [misc]simplify: Extracting #3: cost 30 inf + 61 1550698340.874 * * [misc]simplify: Extracting #4: cost 33 inf + 376 1550698340.875 * * [misc]simplify: Extracting #5: cost 6 inf + 1960 1550698340.876 * * [misc]simplify: Extracting #6: cost 0 inf + 2989 1550698340.878 * [exit]simplify: Simplified to (pow (sqrt (/ PI (/ 1/2 n))) (fma k -1/2 1/2)) 1550698340.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (sqrt (/ PI (/ 1/2 n))) (fma k -1/2 1/2)) (/ (sqrt k) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (fma -1/2 k 1/2))))) 1550698340.878 * * * * [misc]progress: [ 115 / 134 ] simplifiying candidate # 1550698340.879 * [enter]simplify: Simplifying (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (fma -1/2 k 1/2)) 1550698340.879 * * [misc]simplify: iters left: 6 (12 enodes) 1550698340.883 * * [misc]simplify: iters left: 5 (40 enodes) 1550698340.895 * * [misc]simplify: iters left: 4 (46 enodes) 1550698340.909 * * [misc]simplify: iters left: 3 (47 enodes) 1550698340.927 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698340.927 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698340.927 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550698340.927 * * [misc]simplify: Extracting #3: cost 15 inf + 4 1550698340.927 * * [misc]simplify: Extracting #4: cost 16 inf + 104 1550698340.927 * * [misc]simplify: Extracting #5: cost 10 inf + 290 1550698340.928 * * [misc]simplify: Extracting #6: cost 4 inf + 1184 1550698340.928 * * [misc]simplify: Extracting #7: cost 1 inf + 2061 1550698340.929 * * [misc]simplify: Extracting #8: cost 0 inf + 2532 1550698340.930 * [exit]simplify: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2)) 1550698340.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (fma k -1/2 1/2)) (/ (sqrt k) (pow (/ PI (cbrt (/ -1 n))) (fma -1/2 k 1/2))))) 1550698340.930 * * * * [misc]progress: [ 116 / 134 ] simplifiying candidate # 1550698340.930 * [enter]simplify: Simplifying (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) 1550698340.931 * * [misc]simplify: iters left: 6 (11 enodes) 1550698340.937 * * [misc]simplify: iters left: 5 (35 enodes) 1550698340.949 * * [misc]simplify: iters left: 4 (39 enodes) 1550698340.961 * * [misc]simplify: iters left: 3 (40 enodes) 1550698340.984 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698340.985 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698340.985 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550698340.985 * * [misc]simplify: Extracting #3: cost 8 inf + 162 1550698340.985 * * [misc]simplify: Extracting #4: cost 10 inf + 204 1550698340.985 * * [misc]simplify: Extracting #5: cost 7 inf + 248 1550698340.985 * * [misc]simplify: Extracting #6: cost 4 inf + 495 1550698340.986 * * [misc]simplify: Extracting #7: cost 0 inf + 1482 1550698340.994 * [exit]simplify: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) 1550698340.994 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ -2 (sqrt (/ -1 n))) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (sqrt (/ -1 n))) (fma -1/2 k 1/2))))) 1550698340.994 * * * * [misc]progress: [ 117 / 134 ] simplifiying candidate # 1550698340.994 * [enter]simplify: Simplifying (pow (/ -2 1) (fma -1/2 k 1/2)) 1550698340.994 * * [misc]simplify: iters left: 3 (8 enodes) 1550698340.999 * * [misc]simplify: iters left: 2 (26 enodes) 1550698341.008 * * [misc]simplify: iters left: 1 (32 enodes) 1550698341.018 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698341.018 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698341.018 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698341.019 * * [misc]simplify: Extracting #3: cost 5 inf + 62 1550698341.019 * * [misc]simplify: Extracting #4: cost 1 inf + 473 1550698341.019 * * [misc]simplify: Extracting #5: cost 0 inf + 742 1550698341.019 * [exit]simplify: Simplified to (pow -2 (fma -1/2 k 1/2)) 1550698341.019 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow -2 (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (/ -1 n)) (fma -1/2 k 1/2))))) 1550698341.019 * * * * [misc]progress: [ 118 / 134 ] simplifiying candidate # 1550698341.020 * [enter]simplify: Simplifying (pow (/ -2 -1) (fma -1/2 k 1/2)) 1550698341.020 * * [misc]simplify: iters left: 3 (8 enodes) 1550698341.026 * * [misc]simplify: iters left: 2 (27 enodes) 1550698341.035 * * [misc]simplify: iters left: 1 (31 enodes) 1550698341.045 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698341.045 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698341.045 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698341.045 * * [misc]simplify: Extracting #3: cost 5 inf + 62 1550698341.046 * * [misc]simplify: Extracting #4: cost 1 inf + 473 1550698341.046 * * [misc]simplify: Extracting #5: cost 0 inf + 742 1550698341.046 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1550698341.046 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow 2 (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ PI (/ 1 n)) (fma -1/2 k 1/2))))) 1550698341.046 * * * * [misc]progress: [ 119 / 134 ] simplifiying candidate # 1550698341.047 * [enter]simplify: Simplifying (pow 1 (fma -1/2 k 1/2)) 1550698341.047 * * [misc]simplify: iters left: 2 (6 enodes) 1550698341.050 * * [misc]simplify: iters left: 1 (20 enodes) 1550698341.058 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698341.058 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698341.058 * [exit]simplify: Simplified to 1 1550698341.058 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))))) 1550698341.058 * * * * [misc]progress: [ 120 / 134 ] simplifiying candidate # 1550698341.058 * [enter]simplify: Simplifying (pow (* -2 PI) (fma -1/2 k 1/2)) 1550698341.058 * * [misc]simplify: iters left: 3 (8 enodes) 1550698341.063 * * [misc]simplify: iters left: 2 (27 enodes) 1550698341.072 * * [misc]simplify: iters left: 1 (31 enodes) 1550698341.080 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698341.081 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698341.081 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550698341.081 * * [misc]simplify: Extracting #3: cost 7 inf + 63 1550698341.081 * * [misc]simplify: Extracting #4: cost 1 inf + 599 1550698341.081 * * [misc]simplify: Extracting #5: cost 0 inf + 909 1550698341.081 * [exit]simplify: Simplified to (pow (* -2 PI) (fma -1/2 k 1/2)) 1550698341.082 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* -2 PI) (fma -1/2 k 1/2)) (/ (sqrt k) (pow (/ 1 (/ -1 n)) (fma -1/2 k 1/2))))) 1550698341.082 * * * * [misc]progress: [ 121 / 134 ] simplifiying candidate # 1550698341.082 * [enter]simplify: Simplifying (pow (/ (* -2 PI) -1) (fma -1/2 k 1/2)) 1550698341.082 * * [misc]simplify: iters left: 5 (10 enodes) 1550698341.088 * * [misc]simplify: iters left: 4 (35 enodes) 1550698341.112 * * [misc]simplify: iters left: 3 (46 enodes) 1550698341.125 * * [misc]simplify: iters left: 2 (49 enodes) 1550698341.139 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698341.140 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698341.140 * * [misc]simplify: Extracting #2: cost 16 inf + 0 1550698341.140 * * [misc]simplify: Extracting #3: cost 12 inf + 7 1550698341.140 * * [misc]simplify: Extracting #4: cost 2 inf + 995 1550698341.141 * * [misc]simplify: Extracting #5: cost 0 inf + 1079 1550698341.141 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1550698341.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698341.142 * * * * [misc]progress: [ 122 / 134 ] simplifiying candidate # 1550698341.142 * [enter]simplify: Simplifying (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))) 1550698341.142 * * [misc]simplify: iters left: 6 (14 enodes) 1550698341.150 * * [misc]simplify: iters left: 5 (49 enodes) 1550698341.167 * * [misc]simplify: iters left: 4 (70 enodes) 1550698341.191 * * [misc]simplify: iters left: 3 (101 enodes) 1550698341.221 * * [misc]simplify: iters left: 2 (131 enodes) 1550698341.259 * * [misc]simplify: iters left: 1 (155 enodes) 1550698341.312 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698341.312 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698341.312 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698341.312 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550698341.312 * * [misc]simplify: Extracting #4: cost 35 inf + 0 1550698341.312 * * [misc]simplify: Extracting #5: cost 40 inf + 134 1550698341.313 * * [misc]simplify: Extracting #6: cost 16 inf + 1338 1550698341.315 * * [misc]simplify: Extracting #7: cost 0 inf + 4463 1550698341.317 * [exit]simplify: Simplified to (* (cbrt (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2))) (cbrt (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)))) 1550698341.317 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2))) (cbrt (pow (/ n (/ 1/2 PI)) (fma k -1/2 1/2)))) (/ (sqrt k) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))) 1550698341.317 * * * * [misc]progress: [ 123 / 134 ] simplifiying candidate # 1550698341.318 * [enter]simplify: Simplifying (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))) 1550698341.318 * * [misc]simplify: iters left: 6 (13 enodes) 1550698341.325 * * [misc]simplify: iters left: 5 (46 enodes) 1550698341.340 * * [misc]simplify: iters left: 4 (67 enodes) 1550698341.362 * * [misc]simplify: iters left: 3 (98 enodes) 1550698341.391 * * [misc]simplify: iters left: 2 (128 enodes) 1550698341.431 * * [misc]simplify: iters left: 1 (153 enodes) 1550698341.474 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698341.474 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698341.474 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698341.474 * * [misc]simplify: Extracting #3: cost 33 inf + 0 1550698341.475 * * [misc]simplify: Extracting #4: cost 37 inf + 176 1550698341.476 * * [misc]simplify: Extracting #5: cost 8 inf + 1795 1550698341.477 * * [misc]simplify: Extracting #6: cost 1 inf + 3093 1550698341.479 * * [misc]simplify: Extracting #7: cost 0 inf + 3443 1550698341.481 * [exit]simplify: Simplified to (sqrt (pow (/ (* PI n) 1/2) (fma k -1/2 1/2))) 1550698341.481 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (/ (* PI n) 1/2) (fma k -1/2 1/2))) (/ (sqrt k) (sqrt (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))) 1550698341.481 * * * * [misc]progress: [ 124 / 134 ] simplifiying candidate # 1550698341.481 * * * * [misc]progress: [ 125 / 134 ] simplifiying candidate #real (real->posit16 (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))))> 1550698341.481 * * * * [misc]progress: [ 126 / 134 ] simplifiying candidate # 1550698341.481 * [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))))) 1550698341.482 * * [misc]simplify: iters left: 6 (37 enodes) 1550698341.503 * * [misc]simplify: iters left: 5 (182 enodes) 1550698341.579 * * [misc]simplify: iters left: 4 (487 enodes) 1550698341.913 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698341.913 * * [misc]simplify: Extracting #1: cost 74 inf + 0 1550698341.916 * * [misc]simplify: Extracting #2: cost 339 inf + 3 1550698341.920 * * [misc]simplify: Extracting #3: cost 496 inf + 559 1550698341.937 * * [misc]simplify: Extracting #4: cost 330 inf + 53115 1550698342.013 * * [misc]simplify: Extracting #5: cost 70 inf + 174349 1550698342.128 * * [misc]simplify: Extracting #6: cost 0 inf + 222643 1550698342.245 * * [misc]simplify: Extracting #7: cost 0 inf + 219647 1550698342.366 * * [misc]simplify: Extracting #8: cost 0 inf + 219582 1550698342.475 * [exit]simplify: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) 1550698342.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) (sqrt k))) 1550698342.476 * * * * [misc]progress: [ 127 / 134 ] simplifiying candidate # 1550698342.476 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1550698342.476 * * [misc]simplify: iters left: 6 (15 enodes) 1550698342.486 * * [misc]simplify: iters left: 5 (63 enodes) 1550698342.507 * * [misc]simplify: iters left: 4 (108 enodes) 1550698342.551 * * [misc]simplify: iters left: 3 (268 enodes) 1550698342.710 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698342.710 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698342.710 * * [misc]simplify: Extracting #2: cost 116 inf + 0 1550698342.712 * * [misc]simplify: Extracting #3: cost 211 inf + 668 1550698342.715 * * [misc]simplify: Extracting #4: cost 149 inf + 9715 1550698342.727 * * [misc]simplify: Extracting #5: cost 42 inf + 34460 1550698342.746 * * [misc]simplify: Extracting #6: cost 0 inf + 46240 1550698342.764 * * [misc]simplify: Extracting #7: cost 0 inf + 45870 1550698342.783 * [exit]simplify: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2)) 1550698342.783 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma k -1/2 1/2)) (sqrt k))) 1550698342.783 * * * * [misc]progress: [ 128 / 134 ] simplifiying candidate # 1550698342.783 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1550698342.783 * * [misc]simplify: iters left: 6 (15 enodes) 1550698342.792 * * [misc]simplify: iters left: 5 (60 enodes) 1550698342.817 * * [misc]simplify: iters left: 4 (111 enodes) 1550698342.862 * * [misc]simplify: iters left: 3 (302 enodes) 1550698343.096 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698343.096 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698343.097 * * [misc]simplify: Extracting #2: cost 144 inf + 0 1550698343.099 * * [misc]simplify: Extracting #3: cost 312 inf + 558 1550698343.102 * * [misc]simplify: Extracting #4: cost 279 inf + 4663 1550698343.117 * * [misc]simplify: Extracting #5: cost 100 inf + 51858 1550698343.146 * * [misc]simplify: Extracting #6: cost 2 inf + 80601 1550698343.176 * * [misc]simplify: Extracting #7: cost 0 inf + 76621 1550698343.205 * * [misc]simplify: Extracting #8: cost 0 inf + 76306 1550698343.236 * [exit]simplify: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) 1550698343.237 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))) 1550698343.237 * * * * [misc]progress: [ 129 / 134 ] simplifiying candidate # 1550698343.237 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550698343.237 * * [misc]simplify: iters left: 4 (5 enodes) 1550698343.240 * * [misc]simplify: iters left: 3 (19 enodes) 1550698343.246 * * [misc]simplify: iters left: 2 (27 enodes) 1550698343.254 * * [misc]simplify: iters left: 1 (32 enodes) 1550698343.262 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698343.262 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698343.262 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550698343.262 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550698343.263 * [exit]simplify: Simplified to (* (* PI n) 2) 1550698343.263 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (fma -1/2 k 1/2)) (sqrt k))) 1550698343.263 * * * * [misc]progress: [ 130 / 134 ] simplifiying candidate # 1550698343.264 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550698343.264 * * [misc]simplify: iters left: 4 (5 enodes) 1550698343.266 * * [misc]simplify: iters left: 3 (19 enodes) 1550698343.272 * * [misc]simplify: iters left: 2 (27 enodes) 1550698343.280 * * [misc]simplify: iters left: 1 (32 enodes) 1550698343.288 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698343.288 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698343.288 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550698343.289 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550698343.289 * [exit]simplify: Simplified to (* (* PI n) 2) 1550698343.289 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (fma -1/2 k 1/2)) (sqrt k))) 1550698343.289 * * * * [misc]progress: [ 131 / 134 ] simplifiying candidate # 1550698343.289 * [enter]simplify: Simplifying (* 2 (* n PI)) 1550698343.289 * * [misc]simplify: iters left: 4 (5 enodes) 1550698343.292 * * [misc]simplify: iters left: 3 (19 enodes) 1550698343.298 * * [misc]simplify: iters left: 2 (27 enodes) 1550698343.306 * * [misc]simplify: iters left: 1 (32 enodes) 1550698343.314 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698343.315 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698343.315 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1550698343.315 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1550698343.315 * [exit]simplify: Simplified to (* (* PI n) 2) 1550698343.315 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (fma -1/2 k 1/2)) (sqrt k))) 1550698343.316 * * * * [misc]progress: [ 132 / 134 ] simplifiying candidate # 1550698343.316 * [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)))))))))))))))))))))) 1550698343.316 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698343.317 * * * * [misc]progress: [ 133 / 134 ] simplifiying candidate # 1550698343.317 * [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)))))))) 1550698343.317 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698343.317 * * * * [misc]progress: [ 134 / 134 ] simplifiying candidate # 1550698343.317 * [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))))))))))) 1550698343.317 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698343.318 * * * [misc]progress: adding candidates to table 1550698345.390 * * [misc]progress: iteration 3 / 4 1550698345.390 * * * [misc]progress: picking best candidate 1550698345.438 * * * * [misc]pick: Picked # 1550698345.438 * * * [misc]progress: localizing error 1550698345.469 * * * [misc]progress: generating rewritten candidates 1550698345.469 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1550698345.472 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1550698345.488 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) 1550698345.489 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1550698345.502 * * * [misc]progress: generating series expansions 1550698345.502 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1550698345.502 * [misc]backup-simplify: Simplify (pow (* PI n) (fma -1/2 k 1/2)) into (pow (* n PI) (fma -1/2 k 1/2)) 1550698345.502 * [misc]approximate: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in (n k) around 0 1550698345.502 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in k 1550698345.502 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* n PI)))) in k 1550698345.502 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* n PI))) in k 1550698345.502 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698345.503 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698345.503 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698345.503 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.503 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.503 * [misc]taylor: Taking taylor expansion of k in k 1550698345.503 * [misc]backup-simplify: Simplify 0 into 0 1550698345.503 * [misc]backup-simplify: Simplify 1 into 1 1550698345.503 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.503 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in k 1550698345.503 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550698345.503 * [misc]taylor: Taking taylor expansion of n in k 1550698345.503 * [misc]backup-simplify: Simplify n into n 1550698345.503 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.503 * [misc]backup-simplify: Simplify PI into PI 1550698345.503 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550698345.503 * [misc]backup-simplify: Simplify (log (* n PI)) into (log (* n PI)) 1550698345.503 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698345.504 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698345.504 * [misc]backup-simplify: Simplify (* 1/2 (log (* n PI))) into (* 1/2 (log (* n PI))) 1550698345.504 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* n PI)))) into (pow (* n PI) 1/2) 1550698345.504 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in n 1550698345.504 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* n PI)))) in n 1550698345.504 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* n PI))) in n 1550698345.504 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698345.504 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698345.504 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698345.504 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.504 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.504 * [misc]taylor: Taking taylor expansion of k in n 1550698345.504 * [misc]backup-simplify: Simplify k into k 1550698345.504 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.504 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550698345.504 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.504 * [misc]taylor: Taking taylor expansion of n in n 1550698345.504 * [misc]backup-simplify: Simplify 0 into 0 1550698345.504 * [misc]backup-simplify: Simplify 1 into 1 1550698345.504 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.504 * [misc]backup-simplify: Simplify PI into PI 1550698345.505 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.505 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.506 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.506 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698345.506 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698345.506 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.507 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550698345.507 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550698345.507 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in n 1550698345.507 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* n PI)))) in n 1550698345.507 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* n PI))) in n 1550698345.507 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698345.507 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698345.507 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698345.507 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.507 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.507 * [misc]taylor: Taking taylor expansion of k in n 1550698345.507 * [misc]backup-simplify: Simplify k into k 1550698345.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.507 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550698345.507 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.507 * [misc]taylor: Taking taylor expansion of n in n 1550698345.507 * [misc]backup-simplify: Simplify 0 into 0 1550698345.507 * [misc]backup-simplify: Simplify 1 into 1 1550698345.507 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.508 * [misc]backup-simplify: Simplify PI into PI 1550698345.508 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.508 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.509 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.509 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698345.509 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698345.509 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.509 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550698345.510 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550698345.510 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) in k 1550698345.510 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) in k 1550698345.510 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550698345.510 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.510 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550698345.510 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.510 * [misc]taylor: Taking taylor expansion of k in k 1550698345.510 * [misc]backup-simplify: Simplify 0 into 0 1550698345.510 * [misc]backup-simplify: Simplify 1 into 1 1550698345.510 * [misc]taylor: Taking taylor expansion of (+ (log PI) (log n)) in k 1550698345.510 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698345.510 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.510 * [misc]backup-simplify: Simplify PI into PI 1550698345.511 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.511 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698345.511 * [misc]taylor: Taking taylor expansion of n in k 1550698345.511 * [misc]backup-simplify: Simplify n into n 1550698345.511 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698345.511 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550698345.511 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.511 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698345.512 * [misc]backup-simplify: Simplify (+ (log PI) (log n)) into (+ (log PI) (log n)) 1550698345.512 * [misc]backup-simplify: Simplify (* 1/2 (+ (log PI) (log n))) into (* 1/2 (+ (log PI) (log n))) 1550698345.512 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log PI) (log n)))) into (exp (* 1/2 (+ (log PI) (log n)))) 1550698345.512 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log PI) (log n)))) into (exp (* 1/2 (+ (log PI) (log n)))) 1550698345.514 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698345.516 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698345.516 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1550698345.516 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.517 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.517 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log PI) (log n)))) into 0 1550698345.518 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698345.518 * [misc]taylor: Taking taylor expansion of 0 in k 1550698345.518 * [misc]backup-simplify: Simplify 0 into 0 1550698345.518 * [misc]backup-simplify: Simplify 0 into 0 1550698345.521 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698345.522 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550698345.522 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.522 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550698345.522 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698345.522 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698345.523 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log PI) (log n)))) into (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1550698345.524 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) 1550698345.525 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) 1550698345.526 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698345.530 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550698345.531 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550698345.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.531 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.532 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))) into 0 1550698345.534 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550698345.534 * [misc]taylor: Taking taylor expansion of 0 in k 1550698345.534 * [misc]backup-simplify: Simplify 0 into 0 1550698345.534 * [misc]backup-simplify: Simplify 0 into 0 1550698345.534 * [misc]backup-simplify: Simplify 0 into 0 1550698345.538 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550698345.540 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550698345.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698345.540 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log PI) (log n))))) into 0 1550698345.543 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) 1550698345.544 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) into (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) 1550698345.553 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log PI) (log n)))))) into (- (+ (* 1/8 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (+ (* 1/4 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (exp (* 1/2 (+ (log PI) (log n))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) k))))) 1550698345.553 * [misc]backup-simplify: Simplify (pow (* PI (/ 1 n)) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) 1550698345.553 * [misc]approximate: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1550698345.553 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in k 1550698345.553 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in k 1550698345.553 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in k 1550698345.553 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698345.553 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.554 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698345.554 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.554 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698345.554 * [misc]taylor: Taking taylor expansion of k in k 1550698345.554 * [misc]backup-simplify: Simplify 0 into 0 1550698345.554 * [misc]backup-simplify: Simplify 1 into 1 1550698345.554 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698345.554 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.554 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in k 1550698345.554 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698345.554 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.554 * [misc]backup-simplify: Simplify PI into PI 1550698345.554 * [misc]taylor: Taking taylor expansion of n in k 1550698345.554 * [misc]backup-simplify: Simplify n into n 1550698345.554 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698345.554 * [misc]backup-simplify: Simplify (log (/ PI n)) into (log (/ PI n)) 1550698345.555 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698345.555 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698345.555 * [misc]backup-simplify: Simplify (* -1/2 (log (/ PI n))) into (* -1/2 (log (/ PI n))) 1550698345.555 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) into (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) 1550698345.555 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.555 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in n 1550698345.555 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in n 1550698345.555 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.555 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.555 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.555 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.555 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.555 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.555 * [misc]taylor: Taking taylor expansion of k in n 1550698345.555 * [misc]backup-simplify: Simplify k into k 1550698345.555 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.556 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550698345.556 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.556 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.556 * [misc]backup-simplify: Simplify PI into PI 1550698345.556 * [misc]taylor: Taking taylor expansion of n in n 1550698345.556 * [misc]backup-simplify: Simplify 0 into 0 1550698345.556 * [misc]backup-simplify: Simplify 1 into 1 1550698345.556 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.556 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.556 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.557 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.557 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.557 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.558 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.558 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.558 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in n 1550698345.558 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in n 1550698345.558 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.558 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.558 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.558 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.558 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.558 * [misc]taylor: Taking taylor expansion of k in n 1550698345.558 * [misc]backup-simplify: Simplify k into k 1550698345.558 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.558 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550698345.558 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.558 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.558 * [misc]backup-simplify: Simplify PI into PI 1550698345.558 * [misc]taylor: Taking taylor expansion of n in n 1550698345.558 * [misc]backup-simplify: Simplify 0 into 0 1550698345.558 * [misc]backup-simplify: Simplify 1 into 1 1550698345.559 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.559 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.559 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.559 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.559 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.560 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.560 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.560 * [misc]taylor: Taking taylor expansion of (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550698345.560 * [misc]taylor: Taking taylor expansion of (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550698345.560 * [misc]taylor: Taking taylor expansion of (- (log PI) (log n)) in k 1550698345.560 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698345.560 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.560 * [misc]backup-simplify: Simplify PI into PI 1550698345.561 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.561 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698345.561 * [misc]taylor: Taking taylor expansion of n in k 1550698345.561 * [misc]backup-simplify: Simplify n into n 1550698345.561 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698345.561 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550698345.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698345.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698345.561 * [misc]taylor: Taking taylor expansion of k in k 1550698345.561 * [misc]backup-simplify: Simplify 0 into 0 1550698345.561 * [misc]backup-simplify: Simplify 1 into 1 1550698345.561 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698345.561 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698345.562 * [misc]backup-simplify: Simplify (+ (log PI) (- (log n))) into (- (log PI) (log n)) 1550698345.562 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698345.562 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698345.562 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698345.562 * [misc]backup-simplify: Simplify (* (- (log PI) (log n)) -1/2) into (* -1/2 (- (log PI) (log n))) 1550698345.563 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.563 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.564 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698345.567 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698345.567 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698345.567 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698345.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.568 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.568 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log PI) (log n)))) into 0 1550698345.569 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698345.569 * [misc]taylor: Taking taylor expansion of 0 in k 1550698345.569 * [misc]backup-simplify: Simplify 0 into 0 1550698345.569 * [misc]backup-simplify: Simplify 0 into 0 1550698345.569 * [misc]backup-simplify: Simplify 0 into 0 1550698345.571 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698345.575 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550698345.575 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698345.576 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550698345.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.576 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.577 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0 1550698345.579 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550698345.579 * [misc]taylor: Taking taylor expansion of 0 in k 1550698345.579 * [misc]backup-simplify: Simplify 0 into 0 1550698345.579 * [misc]backup-simplify: Simplify 0 into 0 1550698345.579 * [misc]backup-simplify: Simplify 0 into 0 1550698345.579 * [misc]backup-simplify: Simplify 0 into 0 1550698345.581 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698345.587 * [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 1550698345.588 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698345.588 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550698345.588 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.589 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.589 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0 1550698345.593 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1550698345.593 * [misc]taylor: Taking taylor expansion of 0 in k 1550698345.593 * [misc]backup-simplify: Simplify 0 into 0 1550698345.593 * [misc]backup-simplify: Simplify 0 into 0 1550698345.593 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) 1550698345.594 * [misc]backup-simplify: Simplify (pow (* PI (/ 1 (- n))) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) 1550698345.594 * [misc]approximate: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1550698345.594 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in k 1550698345.594 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) in k 1550698345.594 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n)))) in k 1550698345.594 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698345.594 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.594 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698345.594 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.594 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.594 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698345.594 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.594 * [misc]backup-simplify: Simplify -1 into -1 1550698345.594 * [misc]taylor: Taking taylor expansion of k in k 1550698345.594 * [misc]backup-simplify: Simplify 0 into 0 1550698345.594 * [misc]backup-simplify: Simplify 1 into 1 1550698345.594 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698345.594 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.594 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1550698345.594 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in k 1550698345.594 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.594 * [misc]backup-simplify: Simplify -1 into -1 1550698345.594 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698345.594 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.594 * [misc]backup-simplify: Simplify PI into PI 1550698345.594 * [misc]taylor: Taking taylor expansion of n in k 1550698345.595 * [misc]backup-simplify: Simplify n into n 1550698345.595 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698345.595 * [misc]backup-simplify: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 1550698345.595 * [misc]backup-simplify: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 1550698345.595 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698345.595 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698345.595 * [misc]backup-simplify: Simplify (* 1/2 (log (* -1 (/ PI n)))) into (* 1/2 (log (* -1 (/ PI n)))) 1550698345.595 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) into (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) 1550698345.595 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.595 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) in n 1550698345.595 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n)))) in n 1550698345.596 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.596 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.596 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.596 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.596 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.596 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.596 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.596 * [misc]backup-simplify: Simplify -1 into -1 1550698345.596 * [misc]taylor: Taking taylor expansion of k in n 1550698345.596 * [misc]backup-simplify: Simplify k into k 1550698345.596 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.596 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.596 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550698345.596 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698345.596 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.596 * [misc]backup-simplify: Simplify -1 into -1 1550698345.596 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.596 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.596 * [misc]backup-simplify: Simplify PI into PI 1550698345.596 * [misc]taylor: Taking taylor expansion of n in n 1550698345.596 * [misc]backup-simplify: Simplify 0 into 0 1550698345.596 * [misc]backup-simplify: Simplify 1 into 1 1550698345.597 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.597 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698345.597 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698345.597 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.597 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.598 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.599 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550698345.599 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698345.599 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.599 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) in n 1550698345.600 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n)))) in n 1550698345.600 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.600 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.600 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.600 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.600 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.600 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.600 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.600 * [misc]backup-simplify: Simplify -1 into -1 1550698345.600 * [misc]taylor: Taking taylor expansion of k in n 1550698345.600 * [misc]backup-simplify: Simplify k into k 1550698345.600 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.600 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.600 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550698345.600 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698345.600 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.600 * [misc]backup-simplify: Simplify -1 into -1 1550698345.600 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.600 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.600 * [misc]backup-simplify: Simplify PI into PI 1550698345.600 * [misc]taylor: Taking taylor expansion of n in n 1550698345.600 * [misc]backup-simplify: Simplify 0 into 0 1550698345.600 * [misc]backup-simplify: Simplify 1 into 1 1550698345.601 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.601 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698345.601 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698345.601 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.602 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.602 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.603 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550698345.603 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698345.603 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) in k 1550698345.604 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) in k 1550698345.604 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550698345.604 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698345.604 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.604 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698345.604 * [misc]taylor: Taking taylor expansion of k in k 1550698345.604 * [misc]backup-simplify: Simplify 0 into 0 1550698345.604 * [misc]backup-simplify: Simplify 1 into 1 1550698345.604 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698345.604 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.604 * [misc]taylor: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 1550698345.604 * [misc]taylor: Taking taylor expansion of (log (* -1 PI)) in k 1550698345.604 * [misc]taylor: Taking taylor expansion of (* -1 PI) in k 1550698345.604 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.604 * [misc]backup-simplify: Simplify -1 into -1 1550698345.604 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.604 * [misc]backup-simplify: Simplify PI into PI 1550698345.604 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698345.605 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698345.605 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698345.605 * [misc]taylor: Taking taylor expansion of n in k 1550698345.605 * [misc]backup-simplify: Simplify n into n 1550698345.605 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698345.605 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698345.605 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698345.605 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698345.606 * [misc]backup-simplify: Simplify (+ (log (* -1 PI)) (- (log n))) into (- (log (* -1 PI)) (log n)) 1550698345.606 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -1 PI)) (log n))) into (* 1/2 (- (log (* -1 PI)) (log n))) 1550698345.607 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698345.608 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698345.609 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698345.609 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 1550698345.612 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 PI) 1)))) 1) into 0 1550698345.613 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698345.613 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698345.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.614 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.614 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -1 PI)) (log n)))) into 0 1550698345.616 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698345.616 * [misc]taylor: Taking taylor expansion of 0 in k 1550698345.616 * [misc]backup-simplify: Simplify 0 into 0 1550698345.616 * [misc]backup-simplify: Simplify 0 into 0 1550698345.616 * [misc]backup-simplify: Simplify 0 into 0 1550698345.617 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698345.618 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1550698345.623 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 PI) 1)))) 2) into 0 1550698345.623 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698345.624 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1550698345.624 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.625 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.625 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -1 PI)) (log n))))) into 0 1550698345.628 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550698345.628 * [misc]taylor: Taking taylor expansion of 0 in k 1550698345.628 * [misc]backup-simplify: Simplify 0 into 0 1550698345.628 * [misc]backup-simplify: Simplify 0 into 0 1550698345.628 * [misc]backup-simplify: Simplify 0 into 0 1550698345.628 * [misc]backup-simplify: Simplify 0 into 0 1550698345.630 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698345.631 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698345.639 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 PI) 1)))) 6) into 0 1550698345.639 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698345.640 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1550698345.640 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.641 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.642 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 PI)) (log n)))))) into 0 1550698345.645 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1550698345.645 * [misc]taylor: Taking taylor expansion of 0 in k 1550698345.645 * [misc]backup-simplify: Simplify 0 into 0 1550698345.645 * [misc]backup-simplify: Simplify 0 into 0 1550698345.646 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n)))))) into (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) 1550698345.646 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1550698345.646 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))) into (* (* (pow (* n PI) (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (sqrt (/ 1 k))) 1550698345.646 * [misc]approximate: Taking taylor expansion of (* (* (pow (* n PI) (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (sqrt (/ 1 k))) in (k n) around 0 1550698345.647 * [misc]taylor: Taking taylor expansion of (* (* (pow (* n PI) (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (sqrt (/ 1 k))) in n 1550698345.647 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in n 1550698345.647 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in n 1550698345.647 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* n PI)))) in n 1550698345.647 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* n PI))) in n 1550698345.647 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698345.647 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698345.647 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698345.647 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.647 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.647 * [misc]taylor: Taking taylor expansion of k in n 1550698345.647 * [misc]backup-simplify: Simplify k into k 1550698345.647 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.647 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550698345.647 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.647 * [misc]taylor: Taking taylor expansion of n in n 1550698345.647 * [misc]backup-simplify: Simplify 0 into 0 1550698345.647 * [misc]backup-simplify: Simplify 1 into 1 1550698345.647 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.647 * [misc]backup-simplify: Simplify PI into PI 1550698345.648 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.648 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.648 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.648 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698345.648 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698345.649 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.649 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550698345.650 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550698345.650 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in n 1550698345.650 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in n 1550698345.650 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in n 1550698345.650 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698345.650 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698345.650 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698345.650 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.650 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.650 * [misc]taylor: Taking taylor expansion of k in n 1550698345.650 * [misc]backup-simplify: Simplify k into k 1550698345.650 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.650 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.650 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.650 * [misc]backup-simplify: Simplify 2 into 2 1550698345.650 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.650 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698345.650 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698345.651 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1550698345.651 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1550698345.651 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550698345.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.651 * [misc]taylor: Taking taylor expansion of k in n 1550698345.651 * [misc]backup-simplify: Simplify k into k 1550698345.651 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.651 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550698345.651 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698345.651 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550698345.651 * [misc]taylor: Taking taylor expansion of (* (* (pow (* n PI) (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (sqrt (/ 1 k))) in k 1550698345.651 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1550698345.652 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in k 1550698345.652 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* n PI)))) in k 1550698345.652 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* n PI))) in k 1550698345.652 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698345.652 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698345.652 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698345.652 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.652 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.652 * [misc]taylor: Taking taylor expansion of k in k 1550698345.652 * [misc]backup-simplify: Simplify 0 into 0 1550698345.652 * [misc]backup-simplify: Simplify 1 into 1 1550698345.652 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.652 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in k 1550698345.652 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550698345.652 * [misc]taylor: Taking taylor expansion of n in k 1550698345.652 * [misc]backup-simplify: Simplify n into n 1550698345.652 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.652 * [misc]backup-simplify: Simplify PI into PI 1550698345.652 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550698345.652 * [misc]backup-simplify: Simplify (log (* n PI)) into (log (* n PI)) 1550698345.653 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698345.653 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698345.653 * [misc]backup-simplify: Simplify (* 1/2 (log (* n PI))) into (* 1/2 (log (* n PI))) 1550698345.653 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* n PI)))) into (pow (* n PI) 1/2) 1550698345.653 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1550698345.653 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1550698345.653 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1550698345.653 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698345.653 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698345.653 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698345.653 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.653 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.653 * [misc]taylor: Taking taylor expansion of k in k 1550698345.653 * [misc]backup-simplify: Simplify 0 into 0 1550698345.653 * [misc]backup-simplify: Simplify 1 into 1 1550698345.653 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.653 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698345.653 * [misc]taylor: Taking taylor expansion of 2 in k 1550698345.653 * [misc]backup-simplify: Simplify 2 into 2 1550698345.654 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.654 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698345.654 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698345.654 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550698345.655 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1550698345.655 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698345.655 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698345.655 * [misc]taylor: Taking taylor expansion of k in k 1550698345.655 * [misc]backup-simplify: Simplify 0 into 0 1550698345.655 * [misc]backup-simplify: Simplify 1 into 1 1550698345.655 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698345.655 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.656 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698345.656 * [misc]taylor: Taking taylor expansion of (* (* (pow (* n PI) (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (sqrt (/ 1 k))) in k 1550698345.656 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1550698345.656 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in k 1550698345.656 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* n PI)))) in k 1550698345.656 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* n PI))) in k 1550698345.656 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698345.656 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698345.656 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698345.656 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.656 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.656 * [misc]taylor: Taking taylor expansion of k in k 1550698345.656 * [misc]backup-simplify: Simplify 0 into 0 1550698345.656 * [misc]backup-simplify: Simplify 1 into 1 1550698345.656 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.656 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in k 1550698345.656 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550698345.656 * [misc]taylor: Taking taylor expansion of n in k 1550698345.656 * [misc]backup-simplify: Simplify n into n 1550698345.656 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.656 * [misc]backup-simplify: Simplify PI into PI 1550698345.656 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550698345.657 * [misc]backup-simplify: Simplify (log (* n PI)) into (log (* n PI)) 1550698345.657 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698345.657 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698345.657 * [misc]backup-simplify: Simplify (* 1/2 (log (* n PI))) into (* 1/2 (log (* n PI))) 1550698345.657 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* n PI)))) into (pow (* n PI) 1/2) 1550698345.657 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1550698345.657 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1550698345.657 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1550698345.657 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698345.657 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698345.657 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698345.657 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.657 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.657 * [misc]taylor: Taking taylor expansion of k in k 1550698345.657 * [misc]backup-simplify: Simplify 0 into 0 1550698345.657 * [misc]backup-simplify: Simplify 1 into 1 1550698345.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.657 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698345.658 * [misc]taylor: Taking taylor expansion of 2 in k 1550698345.658 * [misc]backup-simplify: Simplify 2 into 2 1550698345.658 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.658 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698345.658 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698345.658 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550698345.659 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1550698345.659 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698345.659 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698345.659 * [misc]taylor: Taking taylor expansion of k in k 1550698345.659 * [misc]backup-simplify: Simplify 0 into 0 1550698345.659 * [misc]backup-simplify: Simplify 1 into 1 1550698345.659 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698345.659 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.660 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698345.661 * [misc]backup-simplify: Simplify (* (pow (* n PI) 1/2) (pow 2 1/2)) into (sqrt (* n (* PI 2))) 1550698345.661 * [misc]backup-simplify: Simplify (* (sqrt (* n (* PI 2))) 0) into 0 1550698345.661 * [misc]taylor: Taking taylor expansion of 0 in n 1550698345.661 * [misc]backup-simplify: Simplify 0 into 0 1550698345.661 * [misc]backup-simplify: Simplify 0 into 0 1550698345.663 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550698345.663 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1550698345.664 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698345.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1550698345.667 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1550698345.667 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1550698345.668 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* n PI) 1)))) 1) into 0 1550698345.668 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1550698345.668 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698345.669 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* n PI)))) into (- (* 1/2 (log (* n PI)))) 1550698345.669 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* n PI)))) (+ (* (/ (pow (- (* 1/2 (log (* n PI)))) 1) 1)))) into (* -1/2 (* (log (* n PI)) (sqrt (* n PI)))) 1550698345.670 * [misc]backup-simplify: Simplify (+ (* (pow (* n PI) 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (log (* n PI)) (sqrt (* n PI)))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) 1550698345.672 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n (* PI 2))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1550698345.672 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1550698345.672 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550698345.672 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.672 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.672 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550698345.672 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.672 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.672 * [misc]backup-simplify: Simplify 2 into 2 1550698345.672 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.672 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.672 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.672 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.672 * [misc]taylor: Taking taylor expansion of n in n 1550698345.672 * [misc]backup-simplify: Simplify 0 into 0 1550698345.672 * [misc]backup-simplify: Simplify 1 into 1 1550698345.672 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.673 * [misc]backup-simplify: Simplify PI into PI 1550698345.673 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.673 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.674 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.674 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.674 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550698345.674 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.674 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.674 * [misc]backup-simplify: Simplify 0 into 0 1550698345.675 * [misc]backup-simplify: Simplify 0 into 0 1550698345.675 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550698345.676 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698345.680 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1550698345.680 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698345.680 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.681 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1550698345.684 * [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))) 1550698345.685 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1550698345.686 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* n PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* n PI) 1)))) 2) into 0 1550698345.687 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698345.687 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.687 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* n PI))))) into 0 1550698345.688 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* n PI)))) (+ (* (/ (pow (- (* 1/2 (log (* n PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log (* n PI)) 2) (sqrt (* n PI)))) 1550698345.691 * [misc]backup-simplify: Simplify (+ (* (pow (* n PI) 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (log (* n PI)) (sqrt (* n PI)))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (pow (log (* n PI)) 2) (sqrt (* n PI)))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/8 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))))) 1550698345.695 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n (* PI 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/8 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1550698345.695 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1550698345.695 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1550698345.695 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550698345.695 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.695 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.695 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1550698345.695 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1550698345.695 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.695 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.696 * [misc]backup-simplify: Simplify 2 into 2 1550698345.696 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.696 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.696 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.696 * [misc]backup-simplify: Simplify 2 into 2 1550698345.696 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.696 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.696 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.696 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.696 * [misc]taylor: Taking taylor expansion of n in n 1550698345.696 * [misc]backup-simplify: Simplify 0 into 0 1550698345.697 * [misc]backup-simplify: Simplify 1 into 1 1550698345.697 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.697 * [misc]backup-simplify: Simplify PI into PI 1550698345.697 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.697 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.698 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.698 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.698 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1550698345.698 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1550698345.698 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) in n 1550698345.698 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.698 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.698 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))) in n 1550698345.698 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* n PI))) in n 1550698345.698 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.698 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.698 * [misc]backup-simplify: Simplify 2 into 2 1550698345.699 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.699 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550698345.699 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.699 * [misc]taylor: Taking taylor expansion of n in n 1550698345.699 * [misc]backup-simplify: Simplify 0 into 0 1550698345.699 * [misc]backup-simplify: Simplify 1 into 1 1550698345.699 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.699 * [misc]backup-simplify: Simplify PI into PI 1550698345.699 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.700 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.700 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.700 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.700 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.700 * [misc]taylor: Taking taylor expansion of n in n 1550698345.700 * [misc]backup-simplify: Simplify 0 into 0 1550698345.700 * [misc]backup-simplify: Simplify 1 into 1 1550698345.700 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.700 * [misc]backup-simplify: Simplify PI into PI 1550698345.701 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.701 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.701 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.702 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.702 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1550698345.702 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550698345.702 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.702 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.702 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550698345.702 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.702 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.702 * [misc]backup-simplify: Simplify 2 into 2 1550698345.702 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.702 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.702 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.703 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.703 * [misc]taylor: Taking taylor expansion of n in n 1550698345.703 * [misc]backup-simplify: Simplify 0 into 0 1550698345.703 * [misc]backup-simplify: Simplify 1 into 1 1550698345.703 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.703 * [misc]backup-simplify: Simplify PI into PI 1550698345.703 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.704 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.704 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.705 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1550698345.705 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1550698345.705 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.705 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.706 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log PI) (log n))) into (* (sqrt 2) (+ (log PI) (log n))) 1550698345.706 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log PI) (log n))) 0) into 0 1550698345.707 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.707 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550698345.707 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.707 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.707 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.708 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.708 * [misc]backup-simplify: Simplify 0 into 0 1550698345.709 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698345.711 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698345.713 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698345.714 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698345.714 * [misc]backup-simplify: Simplify 0 into 0 1550698345.714 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698345.715 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698345.723 * [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 1550698345.724 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698345.724 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.724 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1550698345.730 * [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))) 1550698345.731 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698345.734 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* n PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* n PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* n PI) 1)))) 6) into 0 1550698345.734 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698345.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* n PI)))))) into 0 1550698345.737 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* n PI)))) (+ (* (/ (pow (- (* 1/2 (log (* n PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* n PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log (* n PI)) 3) (sqrt (* n PI)))) 1550698345.742 * [misc]backup-simplify: Simplify (+ (* (pow (* n PI) 1/2) (* -1/48 (* (pow (log 2) 3) (sqrt 2)))) (+ (* (* -1/2 (* (log (* n PI)) (sqrt (* n PI)))) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* 1/8 (* (pow (log (* n PI)) 2) (sqrt (* n PI)))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/48 (* (pow (log (* n PI)) 3) (sqrt (* n PI)))) (pow 2 1/2))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log (* n PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* n PI)) 3)) (sqrt (* n PI)))))))) 1550698345.750 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n (* PI 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/8 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log (* n PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* n PI)) 3)) (sqrt (* n PI)))))))) 0)))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))))))))) 1550698345.750 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))))))))) in n 1550698345.751 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))))))))))) in n 1550698345.751 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550698345.751 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.751 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.751 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1550698345.751 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1550698345.751 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.751 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.751 * [misc]backup-simplify: Simplify 2 into 2 1550698345.751 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.751 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.751 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.751 * [misc]backup-simplify: Simplify 2 into 2 1550698345.751 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.752 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.752 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.752 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.752 * [misc]taylor: Taking taylor expansion of n in n 1550698345.752 * [misc]backup-simplify: Simplify 0 into 0 1550698345.752 * [misc]backup-simplify: Simplify 1 into 1 1550698345.752 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.752 * [misc]backup-simplify: Simplify PI into PI 1550698345.752 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.753 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.753 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.753 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.753 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))))))) in n 1550698345.753 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))))))))) in n 1550698345.753 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550698345.753 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.753 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.754 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1550698345.754 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1550698345.754 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1550698345.754 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.754 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.754 * [misc]backup-simplify: Simplify 2 into 2 1550698345.754 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.754 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.754 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.754 * [misc]backup-simplify: Simplify 2 into 2 1550698345.754 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.755 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.755 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.755 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.755 * [misc]taylor: Taking taylor expansion of n in n 1550698345.755 * [misc]backup-simplify: Simplify 0 into 0 1550698345.755 * [misc]backup-simplify: Simplify 1 into 1 1550698345.755 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.755 * [misc]backup-simplify: Simplify PI into PI 1550698345.755 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.756 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.756 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.756 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.756 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))))) in n 1550698345.756 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))))))) in n 1550698345.756 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI)))) in n 1550698345.757 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.757 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.757 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log (* n PI)))) (sqrt (* n PI))) in n 1550698345.757 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log (* n PI)))) in n 1550698345.757 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.757 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.757 * [misc]backup-simplify: Simplify 2 into 2 1550698345.757 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.757 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* n PI))) in n 1550698345.757 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.757 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.757 * [misc]backup-simplify: Simplify 2 into 2 1550698345.757 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.757 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.757 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550698345.757 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.757 * [misc]taylor: Taking taylor expansion of n in n 1550698345.758 * [misc]backup-simplify: Simplify 0 into 0 1550698345.758 * [misc]backup-simplify: Simplify 1 into 1 1550698345.758 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.758 * [misc]backup-simplify: Simplify PI into PI 1550698345.758 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.758 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.759 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.759 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.759 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.759 * [misc]taylor: Taking taylor expansion of n in n 1550698345.759 * [misc]backup-simplify: Simplify 0 into 0 1550698345.759 * [misc]backup-simplify: Simplify 1 into 1 1550698345.759 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.759 * [misc]backup-simplify: Simplify PI into PI 1550698345.759 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.760 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.760 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.760 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.760 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))))) in n 1550698345.760 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))))) in n 1550698345.760 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI)))) in n 1550698345.761 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.761 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.761 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* n PI)) 2)) (sqrt (* n PI))) in n 1550698345.761 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* n PI)) 2)) in n 1550698345.761 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.761 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.761 * [misc]backup-simplify: Simplify 2 into 2 1550698345.761 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.761 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.761 * [misc]taylor: Taking taylor expansion of (pow (log (* n PI)) 2) in n 1550698345.761 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550698345.761 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.761 * [misc]taylor: Taking taylor expansion of n in n 1550698345.761 * [misc]backup-simplify: Simplify 0 into 0 1550698345.761 * [misc]backup-simplify: Simplify 1 into 1 1550698345.761 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.761 * [misc]backup-simplify: Simplify PI into PI 1550698345.762 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.762 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.762 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.763 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.763 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.763 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.763 * [misc]taylor: Taking taylor expansion of n in n 1550698345.763 * [misc]backup-simplify: Simplify 0 into 0 1550698345.763 * [misc]backup-simplify: Simplify 1 into 1 1550698345.763 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.763 * [misc]backup-simplify: Simplify PI into PI 1550698345.763 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.764 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.764 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.764 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.765 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))))) in n 1550698345.765 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))))) in n 1550698345.765 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550698345.765 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.765 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.765 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550698345.765 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.765 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.765 * [misc]backup-simplify: Simplify 2 into 2 1550698345.765 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.765 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.765 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.765 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.765 * [misc]taylor: Taking taylor expansion of n in n 1550698345.765 * [misc]backup-simplify: Simplify 0 into 0 1550698345.765 * [misc]backup-simplify: Simplify 1 into 1 1550698345.765 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.765 * [misc]backup-simplify: Simplify PI into PI 1550698345.766 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.766 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.766 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.768 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.768 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))))) in n 1550698345.768 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI)))) in n 1550698345.768 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.768 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.768 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* n PI))) (sqrt (* n PI))) in n 1550698345.768 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* n PI))) in n 1550698345.768 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698345.768 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.768 * [misc]backup-simplify: Simplify 2 into 2 1550698345.768 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698345.768 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698345.768 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550698345.768 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.768 * [misc]taylor: Taking taylor expansion of n in n 1550698345.768 * [misc]backup-simplify: Simplify 0 into 0 1550698345.768 * [misc]backup-simplify: Simplify 1 into 1 1550698345.769 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.769 * [misc]backup-simplify: Simplify PI into PI 1550698345.769 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.769 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.770 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.770 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698345.770 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.770 * [misc]taylor: Taking taylor expansion of n in n 1550698345.770 * [misc]backup-simplify: Simplify 0 into 0 1550698345.770 * [misc]backup-simplify: Simplify 1 into 1 1550698345.770 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.770 * [misc]backup-simplify: Simplify PI into PI 1550698345.770 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.771 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.771 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.771 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698345.772 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1550698345.772 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1550698345.772 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.773 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1550698345.774 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1550698345.775 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1550698345.775 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.776 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.776 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log PI) (log n))) into (* (sqrt 2) (+ (log PI) (log n))) 1550698345.776 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (+ (log PI) (log n)))) into (* (log 2) (* (sqrt 2) (+ (log PI) (log n)))) 1550698345.777 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (+ (log PI) (log n)))) 0) into 0 1550698345.777 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.778 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.778 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.779 * [misc]backup-simplify: Simplify (* (+ (log PI) (log n)) (+ (log PI) (log n))) into (pow (+ (log PI) (log n)) 2) 1550698345.779 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log PI) (log n)) 2)) into (* (sqrt 2) (pow (+ (log PI) (log n)) 2)) 1550698345.780 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log PI) (log n)) 2)) 0) into 0 1550698345.780 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.780 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550698345.780 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.781 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.781 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log PI) (log n))) into (* (sqrt 2) (+ (log PI) (log n))) 1550698345.781 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log PI) (log n))) 0) into 0 1550698345.782 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698345.782 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.782 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.782 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.783 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.783 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.783 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.783 * [misc]backup-simplify: Simplify 0 into 0 1550698345.786 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550698345.786 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1550698345.787 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1550698345.790 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1550698345.791 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698345.793 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698345.794 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698345.794 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log PI) (log n)))) into 0 1550698345.795 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log PI) (log n))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))))) 1550698345.797 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))))) 1550698345.798 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698345.800 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698345.801 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698345.804 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1550698345.808 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1550698345.814 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1550698345.820 * [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))))))))) 1550698345.827 * [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))))))))) 1550698345.828 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698345.830 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1550698345.831 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1550698345.833 * [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)))) 1550698345.838 * [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)))) 1550698345.839 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1550698345.840 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1550698345.850 * [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))))))))))))))) 1550698345.851 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (/ (pow (* PI (/ 1 n)) (fma -1/2 (/ 1 k) 1/2)) (sqrt (/ 1 k)))) into (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) 1550698345.851 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in (k n) around 0 1550698345.851 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in n 1550698345.851 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))) in n 1550698345.851 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.851 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in n 1550698345.851 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in n 1550698345.851 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.851 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.851 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.851 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.851 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.851 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.851 * [misc]taylor: Taking taylor expansion of k in n 1550698345.852 * [misc]backup-simplify: Simplify k into k 1550698345.852 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.852 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.852 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.852 * [misc]backup-simplify: Simplify 2 into 2 1550698345.852 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.852 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.852 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.852 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.853 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.853 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.853 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in n 1550698345.853 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in n 1550698345.853 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.853 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.853 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.853 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.853 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.853 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.853 * [misc]taylor: Taking taylor expansion of k in n 1550698345.853 * [misc]backup-simplify: Simplify k into k 1550698345.853 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.853 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.853 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550698345.853 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.853 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.853 * [misc]backup-simplify: Simplify PI into PI 1550698345.853 * [misc]taylor: Taking taylor expansion of n in n 1550698345.853 * [misc]backup-simplify: Simplify 0 into 0 1550698345.853 * [misc]backup-simplify: Simplify 1 into 1 1550698345.854 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.854 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.854 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.854 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.855 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.855 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.855 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.855 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550698345.855 * [misc]taylor: Taking taylor expansion of k in n 1550698345.856 * [misc]backup-simplify: Simplify k into k 1550698345.856 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550698345.856 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550698345.856 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1550698345.856 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))) in k 1550698345.856 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1550698345.856 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1550698345.856 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1550698345.856 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698345.856 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.856 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698345.856 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.856 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.856 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698345.856 * [misc]taylor: Taking taylor expansion of k in k 1550698345.856 * [misc]backup-simplify: Simplify 0 into 0 1550698345.856 * [misc]backup-simplify: Simplify 1 into 1 1550698345.856 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698345.856 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.856 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698345.856 * [misc]taylor: Taking taylor expansion of 2 in k 1550698345.857 * [misc]backup-simplify: Simplify 2 into 2 1550698345.857 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.857 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698345.857 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698345.857 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1550698345.858 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1550698345.858 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in k 1550698345.858 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in k 1550698345.858 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in k 1550698345.858 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698345.858 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.858 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698345.858 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.858 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.858 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698345.858 * [misc]taylor: Taking taylor expansion of k in k 1550698345.858 * [misc]backup-simplify: Simplify 0 into 0 1550698345.858 * [misc]backup-simplify: Simplify 1 into 1 1550698345.858 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698345.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.858 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in k 1550698345.858 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698345.858 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.858 * [misc]backup-simplify: Simplify PI into PI 1550698345.858 * [misc]taylor: Taking taylor expansion of n in k 1550698345.858 * [misc]backup-simplify: Simplify n into n 1550698345.858 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698345.859 * [misc]backup-simplify: Simplify (log (/ PI n)) into (log (/ PI n)) 1550698345.859 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698345.859 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698345.859 * [misc]backup-simplify: Simplify (* -1/2 (log (/ PI n))) into (* -1/2 (log (/ PI n))) 1550698345.859 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) into (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) 1550698345.859 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698345.859 * [misc]taylor: Taking taylor expansion of k in k 1550698345.859 * [misc]backup-simplify: Simplify 0 into 0 1550698345.859 * [misc]backup-simplify: Simplify 1 into 1 1550698345.859 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.860 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698345.860 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1550698345.860 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))) in k 1550698345.860 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1550698345.860 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1550698345.860 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1550698345.860 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698345.860 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.860 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698345.860 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.860 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.860 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698345.860 * [misc]taylor: Taking taylor expansion of k in k 1550698345.860 * [misc]backup-simplify: Simplify 0 into 0 1550698345.860 * [misc]backup-simplify: Simplify 1 into 1 1550698345.860 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698345.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.861 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698345.861 * [misc]taylor: Taking taylor expansion of 2 in k 1550698345.861 * [misc]backup-simplify: Simplify 2 into 2 1550698345.861 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.861 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698345.861 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698345.861 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1550698345.862 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1550698345.862 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in k 1550698345.862 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in k 1550698345.862 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in k 1550698345.862 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698345.862 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.862 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698345.862 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.862 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698345.862 * [misc]taylor: Taking taylor expansion of k in k 1550698345.862 * [misc]backup-simplify: Simplify 0 into 0 1550698345.862 * [misc]backup-simplify: Simplify 1 into 1 1550698345.862 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698345.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.862 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in k 1550698345.862 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698345.862 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.862 * [misc]backup-simplify: Simplify PI into PI 1550698345.862 * [misc]taylor: Taking taylor expansion of n in k 1550698345.862 * [misc]backup-simplify: Simplify n into n 1550698345.863 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698345.863 * [misc]backup-simplify: Simplify (log (/ PI n)) into (log (/ PI n)) 1550698345.863 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698345.863 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698345.863 * [misc]backup-simplify: Simplify (* -1/2 (log (/ PI n))) into (* -1/2 (log (/ PI n))) 1550698345.863 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) into (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) 1550698345.863 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698345.863 * [misc]taylor: Taking taylor expansion of k in k 1550698345.863 * [misc]backup-simplify: Simplify 0 into 0 1550698345.863 * [misc]backup-simplify: Simplify 1 into 1 1550698345.863 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.864 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698345.864 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))) 1550698345.865 * [misc]backup-simplify: Simplify (* (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))) 0) into 0 1550698345.865 * [misc]taylor: Taking taylor expansion of 0 in n 1550698345.865 * [misc]backup-simplify: Simplify 0 into 0 1550698345.865 * [misc]backup-simplify: Simplify 0 into 0 1550698345.865 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (* 0 (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1550698345.866 * [misc]backup-simplify: Simplify (+ (* (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))))) 1550698345.866 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))))) in n 1550698345.866 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))))) in n 1550698345.866 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.866 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.866 * [misc]taylor: Taking taylor expansion of (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))) in n 1550698345.866 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.866 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in n 1550698345.866 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in n 1550698345.866 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.866 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.866 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.866 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.866 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.866 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.866 * [misc]taylor: Taking taylor expansion of k in n 1550698345.866 * [misc]backup-simplify: Simplify k into k 1550698345.867 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.867 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550698345.867 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.867 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.867 * [misc]backup-simplify: Simplify PI into PI 1550698345.867 * [misc]taylor: Taking taylor expansion of n in n 1550698345.867 * [misc]backup-simplify: Simplify 0 into 0 1550698345.867 * [misc]backup-simplify: Simplify 1 into 1 1550698345.867 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.867 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.867 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.867 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.868 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.869 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.869 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1550698345.869 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.869 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.869 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.869 * [misc]backup-simplify: Simplify 2 into 2 1550698345.869 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.869 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.869 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.869 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.869 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.869 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.869 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.869 * [misc]taylor: Taking taylor expansion of k in n 1550698345.869 * [misc]backup-simplify: Simplify k into k 1550698345.869 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.869 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.869 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.870 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.870 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.870 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.871 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1550698345.871 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550698345.872 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698345.873 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698345.873 * [misc]backup-simplify: Simplify 0 into 0 1550698345.876 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698345.877 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1550698345.878 * [misc]backup-simplify: Simplify (+ (* (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))))) 1550698345.878 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))))) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))))) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.878 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.878 * [misc]taylor: Taking taylor expansion of (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.878 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.878 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.878 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of k in n 1550698345.878 * [misc]backup-simplify: Simplify k into k 1550698345.878 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.878 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.878 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.878 * [misc]backup-simplify: Simplify PI into PI 1550698345.878 * [misc]taylor: Taking taylor expansion of n in n 1550698345.878 * [misc]backup-simplify: Simplify 0 into 0 1550698345.878 * [misc]backup-simplify: Simplify 1 into 1 1550698345.879 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.879 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.879 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.879 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.880 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.880 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.880 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.880 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1550698345.880 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.880 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.881 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.881 * [misc]backup-simplify: Simplify 2 into 2 1550698345.881 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.881 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.881 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.881 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.881 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.881 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.881 * [misc]taylor: Taking taylor expansion of k in n 1550698345.881 * [misc]backup-simplify: Simplify k into k 1550698345.881 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.881 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.881 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.882 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.882 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.883 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1550698345.883 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550698345.884 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698345.885 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698345.885 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698345.885 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698345.886 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.888 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550698345.888 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1550698345.889 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698345.891 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698345.893 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698345.893 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698345.893 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698345.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.894 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log PI) (log n)))) into 0 1550698345.895 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698345.896 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550698345.897 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1550698345.897 * [misc]backup-simplify: Simplify (- 0) into 0 1550698345.897 * [misc]backup-simplify: Simplify 0 into 0 1550698345.897 * [misc]backup-simplify: Simplify 0 into 0 1550698345.898 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698345.899 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1550698345.900 * [misc]backup-simplify: Simplify (+ (* (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))))) 1550698345.900 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))))) in n 1550698345.900 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))))) in n 1550698345.900 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.900 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.900 * [misc]taylor: Taking taylor expansion of (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2)))) in n 1550698345.900 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.900 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in n 1550698345.900 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in n 1550698345.900 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.900 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.900 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.900 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.900 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.900 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.900 * [misc]taylor: Taking taylor expansion of k in n 1550698345.900 * [misc]backup-simplify: Simplify k into k 1550698345.900 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.900 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.901 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550698345.901 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.901 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.901 * [misc]backup-simplify: Simplify PI into PI 1550698345.901 * [misc]taylor: Taking taylor expansion of n in n 1550698345.901 * [misc]backup-simplify: Simplify 0 into 0 1550698345.901 * [misc]backup-simplify: Simplify 1 into 1 1550698345.901 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.901 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698345.901 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.901 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.902 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698345.902 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.903 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.903 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1550698345.903 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1550698345.903 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.903 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.903 * [misc]backup-simplify: Simplify 2 into 2 1550698345.903 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.903 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698345.903 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698345.903 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698345.903 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.903 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.903 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698345.903 * [misc]taylor: Taking taylor expansion of k in n 1550698345.903 * [misc]backup-simplify: Simplify k into k 1550698345.903 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698345.903 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.903 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698345.903 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698345.904 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550698345.904 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550698345.905 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1550698345.905 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550698345.906 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698345.907 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698345.910 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1550698345.910 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 (/ 1 (- k)) 1/2)) (/ (pow (* PI (/ 1 (- n))) (fma -1/2 (/ 1 (- k)) 1/2)) (sqrt (/ 1 (- k))))) into (/ (* (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) 1550698345.910 * [misc]approximate: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1550698345.910 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in n 1550698345.910 * [misc]taylor: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in n 1550698345.910 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.910 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) in n 1550698345.910 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n)))) in n 1550698345.910 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.911 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.911 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.911 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.911 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.911 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.911 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.911 * [misc]backup-simplify: Simplify -1 into -1 1550698345.911 * [misc]taylor: Taking taylor expansion of k in n 1550698345.911 * [misc]backup-simplify: Simplify k into k 1550698345.911 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.911 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.911 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550698345.911 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698345.911 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.911 * [misc]backup-simplify: Simplify -1 into -1 1550698345.911 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.911 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.911 * [misc]backup-simplify: Simplify PI into PI 1550698345.911 * [misc]taylor: Taking taylor expansion of n in n 1550698345.911 * [misc]backup-simplify: Simplify 0 into 0 1550698345.911 * [misc]backup-simplify: Simplify 1 into 1 1550698345.912 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.912 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698345.912 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698345.912 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.913 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.913 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.914 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550698345.914 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698345.914 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.914 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in n 1550698345.914 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in n 1550698345.914 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.915 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.915 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.915 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.915 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.915 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.915 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.915 * [misc]backup-simplify: Simplify -1 into -1 1550698345.915 * [misc]taylor: Taking taylor expansion of k in n 1550698345.915 * [misc]backup-simplify: Simplify k into k 1550698345.915 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.915 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.915 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.915 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.915 * [misc]backup-simplify: Simplify 2 into 2 1550698345.915 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.915 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.915 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.916 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550698345.916 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550698345.916 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550698345.916 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.916 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.916 * [misc]backup-simplify: Simplify -1 into -1 1550698345.916 * [misc]taylor: Taking taylor expansion of k in n 1550698345.916 * [misc]backup-simplify: Simplify k into k 1550698345.916 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.916 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550698345.916 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698345.916 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550698345.917 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) 1550698345.918 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) (sqrt (/ -1 k))) 1550698345.918 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1550698345.918 * [misc]taylor: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1550698345.918 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in k 1550698345.919 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) in k 1550698345.919 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n)))) in k 1550698345.919 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698345.919 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.919 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698345.919 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.919 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.919 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698345.919 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.919 * [misc]backup-simplify: Simplify -1 into -1 1550698345.919 * [misc]taylor: Taking taylor expansion of k in k 1550698345.919 * [misc]backup-simplify: Simplify 0 into 0 1550698345.919 * [misc]backup-simplify: Simplify 1 into 1 1550698345.919 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698345.919 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.919 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1550698345.919 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in k 1550698345.919 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.919 * [misc]backup-simplify: Simplify -1 into -1 1550698345.919 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698345.919 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.919 * [misc]backup-simplify: Simplify PI into PI 1550698345.919 * [misc]taylor: Taking taylor expansion of n in k 1550698345.919 * [misc]backup-simplify: Simplify n into n 1550698345.919 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698345.920 * [misc]backup-simplify: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 1550698345.920 * [misc]backup-simplify: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 1550698345.920 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698345.920 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698345.920 * [misc]backup-simplify: Simplify (* 1/2 (log (* -1 (/ PI n)))) into (* 1/2 (log (* -1 (/ PI n)))) 1550698345.920 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) into (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) 1550698345.920 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1550698345.920 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1550698345.920 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1550698345.920 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698345.920 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.921 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698345.921 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.921 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.921 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698345.921 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.921 * [misc]backup-simplify: Simplify -1 into -1 1550698345.921 * [misc]taylor: Taking taylor expansion of k in k 1550698345.921 * [misc]backup-simplify: Simplify 0 into 0 1550698345.921 * [misc]backup-simplify: Simplify 1 into 1 1550698345.921 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698345.921 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.921 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698345.921 * [misc]taylor: Taking taylor expansion of 2 in k 1550698345.921 * [misc]backup-simplify: Simplify 2 into 2 1550698345.921 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.921 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698345.922 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698345.922 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550698345.922 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1550698345.922 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698345.922 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698345.922 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.922 * [misc]backup-simplify: Simplify -1 into -1 1550698345.922 * [misc]taylor: Taking taylor expansion of k in k 1550698345.922 * [misc]backup-simplify: Simplify 0 into 0 1550698345.922 * [misc]backup-simplify: Simplify 1 into 1 1550698345.922 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698345.923 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.923 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698345.924 * [misc]backup-simplify: Simplify (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1550698345.924 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1550698345.924 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1550698345.924 * [misc]taylor: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1550698345.924 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in k 1550698345.924 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) in k 1550698345.924 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n)))) in k 1550698345.924 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698345.924 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.924 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698345.924 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.924 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.924 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698345.924 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.925 * [misc]backup-simplify: Simplify -1 into -1 1550698345.925 * [misc]taylor: Taking taylor expansion of k in k 1550698345.925 * [misc]backup-simplify: Simplify 0 into 0 1550698345.925 * [misc]backup-simplify: Simplify 1 into 1 1550698345.925 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698345.925 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.925 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1550698345.925 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in k 1550698345.925 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.925 * [misc]backup-simplify: Simplify -1 into -1 1550698345.925 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698345.925 * [misc]taylor: Taking taylor expansion of PI in k 1550698345.925 * [misc]backup-simplify: Simplify PI into PI 1550698345.925 * [misc]taylor: Taking taylor expansion of n in k 1550698345.925 * [misc]backup-simplify: Simplify n into n 1550698345.925 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698345.925 * [misc]backup-simplify: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 1550698345.925 * [misc]backup-simplify: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 1550698345.926 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698345.926 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698345.926 * [misc]backup-simplify: Simplify (* 1/2 (log (* -1 (/ PI n)))) into (* 1/2 (log (* -1 (/ PI n)))) 1550698345.926 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) into (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) 1550698345.926 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1550698345.926 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1550698345.926 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1550698345.926 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698345.926 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.926 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698345.926 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698345.926 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.926 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698345.926 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.926 * [misc]backup-simplify: Simplify -1 into -1 1550698345.926 * [misc]taylor: Taking taylor expansion of k in k 1550698345.926 * [misc]backup-simplify: Simplify 0 into 0 1550698345.926 * [misc]backup-simplify: Simplify 1 into 1 1550698345.927 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698345.927 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698345.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.927 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698345.927 * [misc]taylor: Taking taylor expansion of 2 in k 1550698345.927 * [misc]backup-simplify: Simplify 2 into 2 1550698345.927 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.927 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698345.927 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698345.928 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550698345.928 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1550698345.928 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698345.928 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698345.928 * [misc]taylor: Taking taylor expansion of -1 in k 1550698345.928 * [misc]backup-simplify: Simplify -1 into -1 1550698345.928 * [misc]taylor: Taking taylor expansion of k in k 1550698345.928 * [misc]backup-simplify: Simplify 0 into 0 1550698345.928 * [misc]backup-simplify: Simplify 1 into 1 1550698345.928 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698345.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698345.929 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698345.929 * [misc]backup-simplify: Simplify (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1550698345.930 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1550698345.930 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1550698345.930 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.930 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.930 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1550698345.930 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) in n 1550698345.930 * [misc]taylor: Taking taylor expansion of (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.930 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550698345.930 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698345.930 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.930 * [misc]backup-simplify: Simplify -1 into -1 1550698345.930 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.930 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.930 * [misc]backup-simplify: Simplify PI into PI 1550698345.930 * [misc]taylor: Taking taylor expansion of n in n 1550698345.930 * [misc]backup-simplify: Simplify 0 into 0 1550698345.930 * [misc]backup-simplify: Simplify 1 into 1 1550698345.931 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.931 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698345.932 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698345.932 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.932 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.932 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.932 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.932 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.932 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.932 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.932 * [misc]backup-simplify: Simplify -1 into -1 1550698345.932 * [misc]taylor: Taking taylor expansion of k in n 1550698345.932 * [misc]backup-simplify: Simplify k into k 1550698345.932 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.933 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.933 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.933 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.934 * [misc]backup-simplify: Simplify (* (- (log (* -1 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550698345.934 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698345.934 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1550698345.935 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.935 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.935 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.935 * [misc]backup-simplify: Simplify 2 into 2 1550698345.935 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.935 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.935 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.935 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.935 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.935 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.935 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.935 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.935 * [misc]backup-simplify: Simplify -1 into -1 1550698345.935 * [misc]taylor: Taking taylor expansion of k in n 1550698345.935 * [misc]backup-simplify: Simplify k into k 1550698345.935 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.935 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.935 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.935 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.936 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550698345.936 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550698345.937 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) 1550698345.938 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550698345.939 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550698345.939 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into 0 1550698345.939 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550698345.940 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698345.941 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) 1550698345.941 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1550698345.941 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1550698345.941 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.942 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.942 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1550698345.942 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) in n 1550698345.942 * [misc]taylor: Taking taylor expansion of (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.942 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550698345.942 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698345.942 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.942 * [misc]backup-simplify: Simplify -1 into -1 1550698345.942 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.942 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.942 * [misc]backup-simplify: Simplify PI into PI 1550698345.942 * [misc]taylor: Taking taylor expansion of n in n 1550698345.942 * [misc]backup-simplify: Simplify 0 into 0 1550698345.942 * [misc]backup-simplify: Simplify 1 into 1 1550698345.942 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.942 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698345.943 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698345.943 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.943 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.943 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.943 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.943 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.943 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.943 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.943 * [misc]backup-simplify: Simplify -1 into -1 1550698345.943 * [misc]taylor: Taking taylor expansion of k in n 1550698345.943 * [misc]backup-simplify: Simplify k into k 1550698345.943 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.943 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.944 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.944 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.944 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.945 * [misc]backup-simplify: Simplify (* (- (log (* -1 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550698345.945 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698345.945 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1550698345.945 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.946 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.946 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.946 * [misc]backup-simplify: Simplify 2 into 2 1550698345.946 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.946 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.946 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.946 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.946 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.946 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.946 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.946 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.946 * [misc]backup-simplify: Simplify -1 into -1 1550698345.946 * [misc]taylor: Taking taylor expansion of k in n 1550698345.946 * [misc]backup-simplify: Simplify k into k 1550698345.946 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.946 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.946 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.946 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.946 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.947 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550698345.947 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550698345.948 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) 1550698345.949 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550698345.950 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) 1550698345.951 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) 1550698345.951 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698345.951 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698345.951 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.954 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550698345.954 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1550698345.955 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698345.956 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.956 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698345.956 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698345.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698345.958 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698345.958 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 1550698345.961 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 PI) 1)))) 1) into 0 1550698345.961 * [misc]backup-simplify: Simplify (+ (* (- (log (* -1 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1550698345.963 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698345.964 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550698345.965 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into 0 1550698345.965 * [misc]backup-simplify: Simplify 0 into 0 1550698345.966 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1550698345.966 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698345.967 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698345.969 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) 1550698345.969 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1550698345.969 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1550698345.969 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698345.969 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698345.969 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1550698345.969 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) in n 1550698345.969 * [misc]taylor: Taking taylor expansion of (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.969 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550698345.969 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698345.969 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.969 * [misc]backup-simplify: Simplify -1 into -1 1550698345.969 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698345.969 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.969 * [misc]backup-simplify: Simplify PI into PI 1550698345.969 * [misc]taylor: Taking taylor expansion of n in n 1550698345.969 * [misc]backup-simplify: Simplify 0 into 0 1550698345.969 * [misc]backup-simplify: Simplify 1 into 1 1550698345.970 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698345.970 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698345.970 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698345.970 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.970 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.970 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.970 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.970 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.970 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.970 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.971 * [misc]backup-simplify: Simplify -1 into -1 1550698345.971 * [misc]taylor: Taking taylor expansion of k in n 1550698345.971 * [misc]backup-simplify: Simplify k into k 1550698345.971 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.971 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.971 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698345.971 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.972 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.972 * [misc]backup-simplify: Simplify (* (- (log (* -1 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550698345.973 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698345.973 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1550698345.973 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1550698345.973 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698345.973 * [misc]taylor: Taking taylor expansion of 2 in n 1550698345.973 * [misc]backup-simplify: Simplify 2 into 2 1550698345.973 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698345.973 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698345.973 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698345.973 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698345.973 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698345.973 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698345.973 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698345.973 * [misc]taylor: Taking taylor expansion of -1 in n 1550698345.973 * [misc]backup-simplify: Simplify -1 into -1 1550698345.973 * [misc]taylor: Taking taylor expansion of k in n 1550698345.973 * [misc]backup-simplify: Simplify k into k 1550698345.973 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698345.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698345.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698345.974 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698345.974 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698345.974 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550698345.974 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550698345.975 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) 1550698345.976 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550698345.977 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) 1550698345.978 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))))) 1550698345.982 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))))))) 1550698345.982 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) 1550698345.982 * [misc]backup-simplify: Simplify (* PI n) into (* n PI) 1550698345.982 * [misc]approximate: Taking taylor expansion of (* n PI) in (n) around 0 1550698345.982 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.982 * [misc]taylor: Taking taylor expansion of n in n 1550698345.982 * [misc]backup-simplify: Simplify 0 into 0 1550698345.982 * [misc]backup-simplify: Simplify 1 into 1 1550698345.982 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.982 * [misc]backup-simplify: Simplify PI into PI 1550698345.982 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698345.982 * [misc]taylor: Taking taylor expansion of n in n 1550698345.982 * [misc]backup-simplify: Simplify 0 into 0 1550698345.982 * [misc]backup-simplify: Simplify 1 into 1 1550698345.982 * [misc]taylor: Taking taylor expansion of PI in n 1550698345.982 * [misc]backup-simplify: Simplify PI into PI 1550698345.983 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698345.983 * [misc]backup-simplify: Simplify 0 into 0 1550698345.984 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698345.984 * [misc]backup-simplify: Simplify PI into PI 1550698345.989 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698345.989 * [misc]backup-simplify: Simplify 0 into 0 1550698345.991 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698345.991 * [misc]backup-simplify: Simplify 0 into 0 1550698345.993 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698345.993 * [misc]backup-simplify: Simplify 0 into 0 1550698345.996 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550698345.996 * [misc]backup-simplify: Simplify 0 into 0 1550698346.000 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550698346.000 * [misc]backup-simplify: Simplify 0 into 0 1550698346.004 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1550698346.004 * [misc]backup-simplify: Simplify 0 into 0 1550698346.004 * [misc]backup-simplify: Simplify (* PI n) into (* n PI) 1550698346.004 * [misc]backup-simplify: Simplify (* PI (/ 1 n)) into (/ PI n) 1550698346.004 * [misc]approximate: Taking taylor expansion of (/ PI n) in (n) around 0 1550698346.004 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698346.004 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.004 * [misc]backup-simplify: Simplify PI into PI 1550698346.004 * [misc]taylor: Taking taylor expansion of n in n 1550698346.004 * [misc]backup-simplify: Simplify 0 into 0 1550698346.004 * [misc]backup-simplify: Simplify 1 into 1 1550698346.005 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698346.005 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698346.005 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.005 * [misc]backup-simplify: Simplify PI into PI 1550698346.005 * [misc]taylor: Taking taylor expansion of n in n 1550698346.005 * [misc]backup-simplify: Simplify 0 into 0 1550698346.005 * [misc]backup-simplify: Simplify 1 into 1 1550698346.005 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698346.005 * [misc]backup-simplify: Simplify PI into PI 1550698346.006 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698346.007 * [misc]backup-simplify: Simplify 0 into 0 1550698346.008 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.008 * [misc]backup-simplify: Simplify 0 into 0 1550698346.010 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.010 * [misc]backup-simplify: Simplify 0 into 0 1550698346.012 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.012 * [misc]backup-simplify: Simplify 0 into 0 1550698346.014 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.014 * [misc]backup-simplify: Simplify 0 into 0 1550698346.016 * [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 1550698346.017 * [misc]backup-simplify: Simplify 0 into 0 1550698346.017 * [misc]backup-simplify: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI) 1550698346.017 * [misc]backup-simplify: Simplify (* PI (/ 1 (- n))) into (* -1 (/ PI n)) 1550698346.017 * [misc]approximate: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1550698346.017 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698346.017 * [misc]taylor: Taking taylor expansion of -1 in n 1550698346.017 * [misc]backup-simplify: Simplify -1 into -1 1550698346.017 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698346.017 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.017 * [misc]backup-simplify: Simplify PI into PI 1550698346.017 * [misc]taylor: Taking taylor expansion of n in n 1550698346.017 * [misc]backup-simplify: Simplify 0 into 0 1550698346.017 * [misc]backup-simplify: Simplify 1 into 1 1550698346.017 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698346.017 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698346.017 * [misc]taylor: Taking taylor expansion of -1 in n 1550698346.017 * [misc]backup-simplify: Simplify -1 into -1 1550698346.018 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698346.018 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.018 * [misc]backup-simplify: Simplify PI into PI 1550698346.018 * [misc]taylor: Taking taylor expansion of n in n 1550698346.018 * [misc]backup-simplify: Simplify 0 into 0 1550698346.018 * [misc]backup-simplify: Simplify 1 into 1 1550698346.018 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698346.018 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698346.019 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698346.020 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698346.020 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 1550698346.020 * [misc]backup-simplify: Simplify 0 into 0 1550698346.022 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.023 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1550698346.023 * [misc]backup-simplify: Simplify 0 into 0 1550698346.024 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.026 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698346.026 * [misc]backup-simplify: Simplify 0 into 0 1550698346.028 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.030 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698346.030 * [misc]backup-simplify: Simplify 0 into 0 1550698346.032 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.035 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1550698346.035 * [misc]backup-simplify: Simplify 0 into 0 1550698346.037 * [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 1550698346.041 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1550698346.041 * [misc]backup-simplify: Simplify 0 into 0 1550698346.041 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI) 1550698346.041 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1550698346.041 * [misc]backup-simplify: Simplify (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)) into (* (pow (* n PI) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) 1550698346.041 * [misc]approximate: Taking taylor expansion of (* (pow (* n PI) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in (n k) around 0 1550698346.041 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in k 1550698346.042 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in k 1550698346.042 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* n PI)))) in k 1550698346.042 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* n PI))) in k 1550698346.042 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698346.042 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698346.042 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698346.042 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698346.042 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698346.042 * [misc]taylor: Taking taylor expansion of k in k 1550698346.042 * [misc]backup-simplify: Simplify 0 into 0 1550698346.042 * [misc]backup-simplify: Simplify 1 into 1 1550698346.042 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698346.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.042 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in k 1550698346.042 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1550698346.042 * [misc]taylor: Taking taylor expansion of n in k 1550698346.042 * [misc]backup-simplify: Simplify n into n 1550698346.042 * [misc]taylor: Taking taylor expansion of PI in k 1550698346.042 * [misc]backup-simplify: Simplify PI into PI 1550698346.042 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1550698346.042 * [misc]backup-simplify: Simplify (log (* n PI)) into (log (* n PI)) 1550698346.042 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698346.043 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698346.043 * [misc]backup-simplify: Simplify (* 1/2 (log (* n PI))) into (* 1/2 (log (* n PI))) 1550698346.043 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* n PI)))) into (pow (* n PI) 1/2) 1550698346.043 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698346.043 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698346.043 * [misc]taylor: Taking taylor expansion of k in k 1550698346.043 * [misc]backup-simplify: Simplify 0 into 0 1550698346.043 * [misc]backup-simplify: Simplify 1 into 1 1550698346.043 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698346.043 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698346.046 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698346.046 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n 1550698346.046 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in n 1550698346.047 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* n PI)))) in n 1550698346.047 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* n PI))) in n 1550698346.047 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698346.047 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698346.047 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698346.047 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698346.047 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698346.047 * [misc]taylor: Taking taylor expansion of k in n 1550698346.047 * [misc]backup-simplify: Simplify k into k 1550698346.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698346.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.047 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550698346.047 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698346.047 * [misc]taylor: Taking taylor expansion of n in n 1550698346.047 * [misc]backup-simplify: Simplify 0 into 0 1550698346.047 * [misc]backup-simplify: Simplify 1 into 1 1550698346.047 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.047 * [misc]backup-simplify: Simplify PI into PI 1550698346.047 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698346.048 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698346.048 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698346.048 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698346.049 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698346.049 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698346.049 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550698346.050 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550698346.050 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550698346.050 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698346.050 * [misc]taylor: Taking taylor expansion of k in n 1550698346.050 * [misc]backup-simplify: Simplify k into k 1550698346.050 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698346.050 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550698346.050 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698346.050 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550698346.050 * [misc]taylor: Taking taylor expansion of (* (pow (* n PI) (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n 1550698346.050 * [misc]taylor: Taking taylor expansion of (pow (* n PI) (fma -1/2 k 1/2)) in n 1550698346.050 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* n PI)))) in n 1550698346.050 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* n PI))) in n 1550698346.050 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698346.051 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698346.051 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698346.051 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698346.051 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698346.051 * [misc]taylor: Taking taylor expansion of k in n 1550698346.051 * [misc]backup-simplify: Simplify k into k 1550698346.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698346.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.051 * [misc]taylor: Taking taylor expansion of (log (* n PI)) in n 1550698346.051 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698346.051 * [misc]taylor: Taking taylor expansion of n in n 1550698346.051 * [misc]backup-simplify: Simplify 0 into 0 1550698346.051 * [misc]backup-simplify: Simplify 1 into 1 1550698346.051 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.051 * [misc]backup-simplify: Simplify PI into PI 1550698346.051 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698346.052 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698346.052 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698346.052 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698346.052 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698346.053 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698346.053 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) into (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) 1550698346.053 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 1550698346.053 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550698346.053 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698346.054 * [misc]taylor: Taking taylor expansion of k in n 1550698346.054 * [misc]backup-simplify: Simplify k into k 1550698346.054 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698346.054 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550698346.054 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698346.054 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550698346.055 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (sqrt (/ 1 k))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (sqrt (/ 1 k))) 1550698346.055 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (sqrt (/ 1 k))) in k 1550698346.055 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) in k 1550698346.055 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n))) in k 1550698346.055 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550698346.055 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698346.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.055 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550698346.055 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698346.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.055 * [misc]taylor: Taking taylor expansion of k in k 1550698346.055 * [misc]backup-simplify: Simplify 0 into 0 1550698346.055 * [misc]backup-simplify: Simplify 1 into 1 1550698346.055 * [misc]taylor: Taking taylor expansion of (+ (log PI) (log n)) in k 1550698346.055 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698346.055 * [misc]taylor: Taking taylor expansion of PI in k 1550698346.055 * [misc]backup-simplify: Simplify PI into PI 1550698346.055 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698346.055 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698346.055 * [misc]taylor: Taking taylor expansion of n in k 1550698346.055 * [misc]backup-simplify: Simplify n into n 1550698346.056 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698346.056 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550698346.056 * [misc]backup-simplify: Simplify (- 0) into 0 1550698346.056 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698346.056 * [misc]backup-simplify: Simplify (+ (log PI) (log n)) into (+ (log PI) (log n)) 1550698346.057 * [misc]backup-simplify: Simplify (* 1/2 (+ (log PI) (log n))) into (* 1/2 (+ (log PI) (log n))) 1550698346.057 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log PI) (log n)))) into (exp (* 1/2 (+ (log PI) (log n)))) 1550698346.057 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698346.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698346.057 * [misc]taylor: Taking taylor expansion of k in k 1550698346.057 * [misc]backup-simplify: Simplify 0 into 0 1550698346.057 * [misc]backup-simplify: Simplify 1 into 1 1550698346.057 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698346.057 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698346.058 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698346.058 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) 0) into 0 1550698346.058 * [misc]backup-simplify: Simplify 0 into 0 1550698346.059 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698346.062 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698346.062 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1550698346.062 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.063 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698346.063 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log PI) (log n)))) into 0 1550698346.064 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698346.065 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1550698346.065 * [misc]taylor: Taking taylor expansion of 0 in k 1550698346.065 * [misc]backup-simplify: Simplify 0 into 0 1550698346.067 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698346.068 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550698346.068 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.068 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550698346.069 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698346.069 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698346.069 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log PI) (log n)))) into (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1550698346.070 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) 1550698346.072 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log PI) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log PI) (log n)))))) 1550698346.072 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log PI) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log PI) (log n)))))) 1550698346.072 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698346.073 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1550698346.074 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1550698346.079 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550698346.079 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550698346.079 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.080 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698346.080 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))) into 0 1550698346.082 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550698346.083 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1550698346.083 * [misc]taylor: Taking taylor expansion of 0 in k 1550698346.083 * [misc]backup-simplify: Simplify 0 into 0 1550698346.083 * [misc]backup-simplify: Simplify 0 into 0 1550698346.083 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550698346.085 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698346.089 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550698346.090 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550698346.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.091 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698346.091 * [misc]backup-simplify: Simplify (- 0) into 0 1550698346.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.092 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log PI) (log n))))) into 0 1550698346.098 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) 1550698346.101 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log PI) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n)))))))) 1550698346.103 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n)))))))) 1550698346.103 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698346.104 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1550698346.110 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1550698346.120 * [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 1550698346.120 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1550698346.121 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.121 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 1550698346.122 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))) into 0 1550698346.124 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1550698346.125 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1550698346.125 * [misc]taylor: Taking taylor expansion of 0 in k 1550698346.125 * [misc]backup-simplify: Simplify 0 into 0 1550698346.125 * [misc]backup-simplify: Simplify 0 into 0 1550698346.125 * [misc]backup-simplify: Simplify 0 into 0 1550698346.126 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.127 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698346.134 * [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 1550698346.135 * [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 1550698346.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.136 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698346.136 * [misc]backup-simplify: Simplify (- 0) into 0 1550698346.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.137 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))) into 0 1550698346.139 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log PI)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/48 (pow (log PI) 3)) (+ (* 1/16 (* (pow (log PI) 2) (log n))) (* 1/16 (* (log PI) (pow (log n) 2)))))) (exp (* 1/2 (+ (log PI) (log n)))))) 1550698346.144 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log PI) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/2 (log PI)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log PI) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/8 (pow (log PI) 2)) (* 1/4 (* (log PI) (log n)))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/48 (pow (log PI) 3)) (+ (* 1/16 (* (pow (log PI) 2) (log n))) (* 1/16 (* (log PI) (pow (log n) 2)))))) (exp (* 1/2 (+ (log PI) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log PI) 2)))))))))))))) 1550698346.148 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log PI) 2)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log PI) 2)))))))))))))) 1550698346.157 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow (log PI) 2)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log PI))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log PI) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (pow k 2))))))))))))))))))))))) 1550698346.157 * [misc]backup-simplify: Simplify (/ (pow (* PI (/ 1 n)) (fma -1/2 (/ 1 k) 1/2)) (sqrt (/ 1 k))) into (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) 1550698346.157 * [misc]approximate: Taking taylor expansion of (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in (n k) around 0 1550698346.158 * [misc]taylor: Taking taylor expansion of (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in k 1550698346.158 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in k 1550698346.158 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in k 1550698346.158 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in k 1550698346.158 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698346.158 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698346.158 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698346.158 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698346.158 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698346.158 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698346.158 * [misc]taylor: Taking taylor expansion of k in k 1550698346.158 * [misc]backup-simplify: Simplify 0 into 0 1550698346.158 * [misc]backup-simplify: Simplify 1 into 1 1550698346.158 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698346.158 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698346.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.158 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in k 1550698346.158 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698346.158 * [misc]taylor: Taking taylor expansion of PI in k 1550698346.158 * [misc]backup-simplify: Simplify PI into PI 1550698346.158 * [misc]taylor: Taking taylor expansion of n in k 1550698346.158 * [misc]backup-simplify: Simplify n into n 1550698346.158 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698346.158 * [misc]backup-simplify: Simplify (log (/ PI n)) into (log (/ PI n)) 1550698346.158 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698346.159 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698346.159 * [misc]backup-simplify: Simplify (* -1/2 (log (/ PI n))) into (* -1/2 (log (/ PI n))) 1550698346.159 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) into (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) 1550698346.159 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698346.159 * [misc]taylor: Taking taylor expansion of k in k 1550698346.159 * [misc]backup-simplify: Simplify 0 into 0 1550698346.159 * [misc]backup-simplify: Simplify 1 into 1 1550698346.159 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698346.160 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698346.160 * [misc]taylor: Taking taylor expansion of (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in n 1550698346.160 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698346.160 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in n 1550698346.160 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in n 1550698346.160 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698346.160 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698346.160 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698346.160 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698346.160 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698346.160 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698346.160 * [misc]taylor: Taking taylor expansion of k in n 1550698346.160 * [misc]backup-simplify: Simplify k into k 1550698346.160 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698346.160 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698346.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.160 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550698346.160 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698346.160 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.160 * [misc]backup-simplify: Simplify PI into PI 1550698346.160 * [misc]taylor: Taking taylor expansion of n in n 1550698346.160 * [misc]backup-simplify: Simplify 0 into 0 1550698346.160 * [misc]backup-simplify: Simplify 1 into 1 1550698346.161 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698346.161 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698346.161 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698346.161 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698346.161 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698346.162 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550698346.162 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698346.162 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550698346.162 * [misc]taylor: Taking taylor expansion of k in n 1550698346.162 * [misc]backup-simplify: Simplify k into k 1550698346.162 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550698346.162 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550698346.162 * [misc]taylor: Taking taylor expansion of (* (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in n 1550698346.163 * [misc]taylor: Taking taylor expansion of (pow (/ PI n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698346.163 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n)))) in n 1550698346.163 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ PI n))) in n 1550698346.163 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698346.163 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698346.163 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698346.163 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698346.163 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698346.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698346.163 * [misc]taylor: Taking taylor expansion of k in n 1550698346.163 * [misc]backup-simplify: Simplify k into k 1550698346.163 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698346.163 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698346.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.163 * [misc]taylor: Taking taylor expansion of (log (/ PI n)) in n 1550698346.163 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698346.163 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.163 * [misc]backup-simplify: Simplify PI into PI 1550698346.163 * [misc]taylor: Taking taylor expansion of n in n 1550698346.163 * [misc]backup-simplify: Simplify 0 into 0 1550698346.163 * [misc]backup-simplify: Simplify 1 into 1 1550698346.163 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698346.164 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698346.164 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698346.164 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698346.164 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698346.165 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log PI) (log n))) into (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) 1550698346.165 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698346.165 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550698346.165 * [misc]taylor: Taking taylor expansion of k in n 1550698346.165 * [misc]backup-simplify: Simplify k into k 1550698346.165 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550698346.165 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550698346.166 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) into (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1550698346.166 * [misc]taylor: Taking taylor expansion of (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1550698346.166 * [misc]taylor: Taking taylor expansion of (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1550698346.166 * [misc]taylor: Taking taylor expansion of (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1550698346.166 * [misc]taylor: Taking taylor expansion of (- (log PI) (log n)) in k 1550698346.166 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698346.166 * [misc]taylor: Taking taylor expansion of PI in k 1550698346.166 * [misc]backup-simplify: Simplify PI into PI 1550698346.166 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698346.166 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698346.166 * [misc]taylor: Taking taylor expansion of n in k 1550698346.166 * [misc]backup-simplify: Simplify n into n 1550698346.166 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698346.166 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550698346.166 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698346.166 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.167 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698346.167 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698346.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698346.167 * [misc]taylor: Taking taylor expansion of k in k 1550698346.167 * [misc]backup-simplify: Simplify 0 into 0 1550698346.167 * [misc]backup-simplify: Simplify 1 into 1 1550698346.167 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698346.167 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698346.167 * [misc]backup-simplify: Simplify (+ (log PI) (- (log n))) into (- (log PI) (log n)) 1550698346.167 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698346.168 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698346.168 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698346.168 * [misc]backup-simplify: Simplify (* (- (log PI) (log n)) -1/2) into (* -1/2 (- (log PI) (log n))) 1550698346.168 * [misc]backup-simplify: Simplify (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 1550698346.169 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698346.169 * [misc]taylor: Taking taylor expansion of k in k 1550698346.169 * [misc]backup-simplify: Simplify 0 into 0 1550698346.169 * [misc]backup-simplify: Simplify 1 into 1 1550698346.169 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698346.169 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698346.170 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1550698346.170 * [misc]backup-simplify: Simplify 0 into 0 1550698346.171 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698346.173 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698346.173 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698346.173 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698346.174 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.174 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698346.174 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log PI) (log n)))) into 0 1550698346.176 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698346.176 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (sqrt k))) into 0 1550698346.176 * [misc]taylor: Taking taylor expansion of 0 in k 1550698346.176 * [misc]backup-simplify: Simplify 0 into 0 1550698346.176 * [misc]backup-simplify: Simplify 0 into 0 1550698346.177 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550698346.177 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550698346.178 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1550698346.179 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.184 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550698346.184 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698346.184 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550698346.184 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.185 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698346.185 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0 1550698346.187 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550698346.188 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1550698346.188 * [misc]taylor: Taking taylor expansion of 0 in k 1550698346.188 * [misc]backup-simplify: Simplify 0 into 0 1550698346.188 * [misc]backup-simplify: Simplify 0 into 0 1550698346.188 * [misc]backup-simplify: Simplify 0 into 0 1550698346.189 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698346.190 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550698346.190 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550698346.190 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1550698346.192 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.199 * [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 1550698346.199 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698346.199 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550698346.199 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.200 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 1550698346.201 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0 1550698346.204 * [misc]backup-simplify: Simplify (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1550698346.205 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1550698346.205 * [misc]taylor: Taking taylor expansion of 0 in k 1550698346.205 * [misc]backup-simplify: Simplify 0 into 0 1550698346.205 * [misc]backup-simplify: Simplify 0 into 0 1550698346.205 * [misc]backup-simplify: Simplify 0 into 0 1550698346.205 * [misc]backup-simplify: Simplify 0 into 0 1550698346.206 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698346.207 * [misc]backup-simplify: Simplify (+ (* (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550698346.207 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (exp (* (- (log PI) (log n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1550698346.209 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- (log PI) (log (/ 1 n))) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (pow k 3)))))))) 1550698346.209 * [misc]backup-simplify: Simplify (/ (pow (* PI (/ 1 (- n))) (fma -1/2 (/ 1 (- k)) 1/2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) 1550698346.209 * [misc]approximate: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1550698346.209 * [misc]taylor: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in k 1550698346.209 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in k 1550698346.210 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) in k 1550698346.210 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n)))) in k 1550698346.210 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698346.210 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698346.210 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698346.210 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698346.210 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698346.210 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698346.210 * [misc]taylor: Taking taylor expansion of -1 in k 1550698346.210 * [misc]backup-simplify: Simplify -1 into -1 1550698346.210 * [misc]taylor: Taking taylor expansion of k in k 1550698346.210 * [misc]backup-simplify: Simplify 0 into 0 1550698346.210 * [misc]backup-simplify: Simplify 1 into 1 1550698346.210 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698346.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698346.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.210 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1550698346.210 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in k 1550698346.210 * [misc]taylor: Taking taylor expansion of -1 in k 1550698346.210 * [misc]backup-simplify: Simplify -1 into -1 1550698346.210 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1550698346.210 * [misc]taylor: Taking taylor expansion of PI in k 1550698346.210 * [misc]backup-simplify: Simplify PI into PI 1550698346.210 * [misc]taylor: Taking taylor expansion of n in k 1550698346.210 * [misc]backup-simplify: Simplify n into n 1550698346.210 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1550698346.211 * [misc]backup-simplify: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 1550698346.211 * [misc]backup-simplify: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 1550698346.211 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698346.211 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698346.211 * [misc]backup-simplify: Simplify (* 1/2 (log (* -1 (/ PI n)))) into (* 1/2 (log (* -1 (/ PI n)))) 1550698346.211 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) into (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) 1550698346.211 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698346.211 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698346.211 * [misc]taylor: Taking taylor expansion of -1 in k 1550698346.211 * [misc]backup-simplify: Simplify -1 into -1 1550698346.211 * [misc]taylor: Taking taylor expansion of k in k 1550698346.211 * [misc]backup-simplify: Simplify 0 into 0 1550698346.211 * [misc]backup-simplify: Simplify 1 into 1 1550698346.212 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698346.212 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698346.212 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698346.212 * [misc]backup-simplify: Simplify (/ (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -1 (/ PI n))) (fma -1/2 (/ -1 k) 1/2)))) 1550698346.212 * [misc]taylor: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n 1550698346.212 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698346.212 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) in n 1550698346.212 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n)))) in n 1550698346.212 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698346.213 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698346.213 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698346.213 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698346.213 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698346.213 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698346.213 * [misc]taylor: Taking taylor expansion of -1 in n 1550698346.213 * [misc]backup-simplify: Simplify -1 into -1 1550698346.213 * [misc]taylor: Taking taylor expansion of k in n 1550698346.213 * [misc]backup-simplify: Simplify k into k 1550698346.213 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698346.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698346.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.213 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550698346.213 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698346.213 * [misc]taylor: Taking taylor expansion of -1 in n 1550698346.213 * [misc]backup-simplify: Simplify -1 into -1 1550698346.213 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698346.213 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.213 * [misc]backup-simplify: Simplify PI into PI 1550698346.213 * [misc]taylor: Taking taylor expansion of n in n 1550698346.213 * [misc]backup-simplify: Simplify 0 into 0 1550698346.213 * [misc]backup-simplify: Simplify 1 into 1 1550698346.213 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698346.214 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698346.216 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698346.216 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698346.216 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698346.216 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698346.217 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550698346.218 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698346.218 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550698346.218 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698346.218 * [misc]taylor: Taking taylor expansion of -1 in n 1550698346.218 * [misc]backup-simplify: Simplify -1 into -1 1550698346.218 * [misc]taylor: Taking taylor expansion of k in n 1550698346.218 * [misc]backup-simplify: Simplify k into k 1550698346.218 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698346.218 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550698346.218 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698346.218 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550698346.219 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) 1550698346.219 * [misc]taylor: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n 1550698346.219 * [misc]taylor: Taking taylor expansion of (pow (* -1 (/ PI n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698346.219 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n))))) in n 1550698346.219 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* -1 (/ PI n)))) in n 1550698346.219 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698346.219 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698346.219 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698346.219 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698346.219 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698346.219 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698346.219 * [misc]taylor: Taking taylor expansion of -1 in n 1550698346.219 * [misc]backup-simplify: Simplify -1 into -1 1550698346.219 * [misc]taylor: Taking taylor expansion of k in n 1550698346.219 * [misc]backup-simplify: Simplify k into k 1550698346.219 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698346.219 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698346.219 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.219 * [misc]taylor: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1550698346.219 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1550698346.219 * [misc]taylor: Taking taylor expansion of -1 in n 1550698346.219 * [misc]backup-simplify: Simplify -1 into -1 1550698346.219 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1550698346.220 * [misc]taylor: Taking taylor expansion of PI in n 1550698346.220 * [misc]backup-simplify: Simplify PI into PI 1550698346.220 * [misc]taylor: Taking taylor expansion of n in n 1550698346.220 * [misc]backup-simplify: Simplify 0 into 0 1550698346.220 * [misc]backup-simplify: Simplify 1 into 1 1550698346.220 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1550698346.220 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698346.221 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698346.221 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698346.221 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698346.222 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698346.222 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) 1550698346.223 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698346.223 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550698346.223 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698346.223 * [misc]taylor: Taking taylor expansion of -1 in n 1550698346.223 * [misc]backup-simplify: Simplify -1 into -1 1550698346.223 * [misc]taylor: Taking taylor expansion of k in n 1550698346.223 * [misc]backup-simplify: Simplify k into k 1550698346.223 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698346.223 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550698346.223 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698346.223 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550698346.224 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) 1550698346.224 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) in k 1550698346.224 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) in k 1550698346.224 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))) in k 1550698346.224 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550698346.224 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698346.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698346.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.224 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698346.224 * [misc]taylor: Taking taylor expansion of k in k 1550698346.224 * [misc]backup-simplify: Simplify 0 into 0 1550698346.224 * [misc]backup-simplify: Simplify 1 into 1 1550698346.225 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698346.225 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698346.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698346.225 * [misc]taylor: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 1550698346.225 * [misc]taylor: Taking taylor expansion of (log (* -1 PI)) in k 1550698346.225 * [misc]taylor: Taking taylor expansion of (* -1 PI) in k 1550698346.225 * [misc]taylor: Taking taylor expansion of -1 in k 1550698346.225 * [misc]backup-simplify: Simplify -1 into -1 1550698346.225 * [misc]taylor: Taking taylor expansion of PI in k 1550698346.225 * [misc]backup-simplify: Simplify PI into PI 1550698346.225 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1550698346.225 * [misc]backup-simplify: Simplify (log (* -1 PI)) into (log (* -1 PI)) 1550698346.226 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698346.226 * [misc]taylor: Taking taylor expansion of n in k 1550698346.226 * [misc]backup-simplify: Simplify n into n 1550698346.226 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698346.226 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698346.226 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698346.226 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698346.226 * [misc]backup-simplify: Simplify (+ (log (* -1 PI)) (- (log n))) into (- (log (* -1 PI)) (log n)) 1550698346.227 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -1 PI)) (log n))) into (* 1/2 (- (log (* -1 PI)) (log n))) 1550698346.228 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) 1550698346.228 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698346.228 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698346.228 * [misc]taylor: Taking taylor expansion of -1 in k 1550698346.228 * [misc]backup-simplify: Simplify -1 into -1 1550698346.228 * [misc]taylor: Taking taylor expansion of k in k 1550698346.228 * [misc]backup-simplify: Simplify 0 into 0 1550698346.228 * [misc]backup-simplify: Simplify 1 into 1 1550698346.228 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698346.228 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698346.229 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698346.229 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) 1550698346.230 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) 1550698346.231 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1550698346.232 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 1550698346.234 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 PI) 1)))) 1) into 0 1550698346.234 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698346.235 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698346.235 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.236 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698346.236 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -1 PI)) (log n)))) into 0 1550698346.238 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698346.238 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1550698346.239 * [misc]taylor: Taking taylor expansion of 0 in k 1550698346.239 * [misc]backup-simplify: Simplify 0 into 0 1550698346.239 * [misc]backup-simplify: Simplify 0 into 0 1550698346.239 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550698346.240 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698346.241 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550698346.242 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550698346.243 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.244 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1550698346.249 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 PI) 1)))) 2) into 0 1550698346.249 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698346.250 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1550698346.250 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698346.250 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 1550698346.251 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -1 PI)) (log n))))) into 0 1550698346.253 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550698346.254 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698346.254 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1550698346.255 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1550698346.255 * [misc]taylor: Taking taylor expansion of 0 in k 1550698346.255 * [misc]backup-simplify: Simplify 0 into 0 1550698346.255 * [misc]backup-simplify: Simplify 0 into 0 1550698346.255 * [misc]backup-simplify: Simplify 0 into 0 1550698346.256 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698346.257 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698346.259 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550698346.259 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -1 PI)) (log n)))))) 1550698346.262 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -1 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))))))))) 1550698346.262 * * * [misc]progress: simplifying candidates 1550698346.262 * * * * [misc]progress: [ 1 / 126 ] simplifiying candidate # 1550698346.262 * * * * [misc]progress: [ 2 / 126 ] simplifiying candidate # 1550698346.262 * * * * [misc]progress: [ 3 / 126 ] simplifiying candidate # 1550698346.262 * [enter]simplify: Simplifying (* (log (* PI n)) (fma -1/2 k 1/2)) 1550698346.263 * * [misc]simplify: iters left: 5 (9 enodes) 1550698346.268 * * [misc]simplify: iters left: 4 (34 enodes) 1550698346.278 * * [misc]simplify: iters left: 3 (55 enodes) 1550698346.298 * * [misc]simplify: iters left: 2 (112 enodes) 1550698346.347 * * [misc]simplify: iters left: 1 (248 enodes) 1550698346.452 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698346.453 * * [misc]simplify: Extracting #1: cost 37 inf + 0 1550698346.453 * * [misc]simplify: Extracting #2: cost 74 inf + 45 1550698346.454 * * [misc]simplify: Extracting #3: cost 71 inf + 147 1550698346.458 * * [misc]simplify: Extracting #4: cost 28 inf + 7959 1550698346.466 * * [misc]simplify: Extracting #5: cost 0 inf + 14492 1550698346.477 * [exit]simplify: Simplified to (* (log (* PI n)) (fma -1/2 k 1/2)) 1550698346.477 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (exp (* (log (* PI n)) (fma -1/2 k 1/2))) (sqrt k)))) 1550698346.477 * * * * [misc]progress: [ 4 / 126 ] simplifiying candidate # 1550698346.477 * * * * [misc]progress: [ 5 / 126 ] simplifiying candidate # 1550698346.478 * [enter]simplify: Simplifying (* PI n) 1550698346.478 * * [misc]simplify: iters left: 2 (3 enodes) 1550698346.479 * * [misc]simplify: iters left: 1 (10 enodes) 1550698346.482 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698346.482 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698346.482 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550698346.482 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550698346.482 * [exit]simplify: Simplified to (* PI n) 1550698346.482 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (* 1 (fma -1/2 k 1/2))) (sqrt k)))) 1550698346.482 * * * * [misc]progress: [ 6 / 126 ] simplifiying candidate # 1550698346.482 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1550698346.482 * * [misc]simplify: iters left: 2 (5 enodes) 1550698346.486 * * [misc]simplify: iters left: 1 (17 enodes) 1550698346.491 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698346.492 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698346.492 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698346.492 * * [misc]simplify: Extracting #3: cost 6 inf + 3 1550698346.492 * * [misc]simplify: Extracting #4: cost 0 inf + 479 1550698346.492 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1550698346.492 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (pow (* PI n) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (sqrt k)))) 1550698346.492 * * * * [misc]progress: [ 7 / 126 ] simplifiying candidate # 1550698346.493 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1550698346.493 * * [misc]simplify: iters left: 2 (5 enodes) 1550698346.496 * * [misc]simplify: iters left: 1 (17 enodes) 1550698346.502 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698346.502 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698346.502 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698346.502 * * [misc]simplify: Extracting #3: cost 6 inf + 3 1550698346.502 * * [misc]simplify: Extracting #4: cost 0 inf + 399 1550698346.502 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1550698346.503 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (pow (* PI n) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (sqrt k)))) 1550698346.503 * * * * [misc]progress: [ 8 / 126 ] simplifiying candidate # 1550698346.503 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1550698346.503 * * [misc]simplify: iters left: 1 (4 enodes) 1550698346.506 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698346.506 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698346.506 * * [misc]simplify: Extracting #2: cost 3 inf + 3 1550698346.506 * * [misc]simplify: Extracting #3: cost 1 inf + 103 1550698346.506 * * [misc]simplify: Extracting #4: cost 0 inf + 161 1550698346.506 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1550698346.506 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (pow (* PI n) 1) (fma -1/2 k 1/2)) (sqrt k)))) 1550698346.506 * * * * [misc]progress: [ 9 / 126 ] simplifiying candidate # 1550698346.507 * [enter]simplify: Simplifying (pow (* PI n) 1/2) 1550698346.507 * * [misc]simplify: iters left: 3 (5 enodes) 1550698346.510 * * [misc]simplify: iters left: 2 (17 enodes) 1550698346.515 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698346.515 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698346.515 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698346.515 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1550698346.515 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1550698346.515 * [exit]simplify: Simplified to (sqrt (* PI n)) 1550698346.515 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (* (pow (* PI n) (* -1/2 k)) (sqrt (* PI n))) (sqrt k)))) 1550698346.515 * * * * [misc]progress: [ 10 / 126 ] simplifiying candidate # 1550698346.516 * [enter]simplify: Simplifying (pow PI (fma -1/2 k 1/2)) 1550698346.516 * * [misc]simplify: iters left: 2 (6 enodes) 1550698346.519 * * [misc]simplify: iters left: 1 (20 enodes) 1550698346.526 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698346.526 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698346.526 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698346.526 * * [misc]simplify: Extracting #3: cost 6 inf + 4 1550698346.526 * * [misc]simplify: Extracting #4: cost 1 inf + 473 1550698346.526 * * [misc]simplify: Extracting #5: cost 0 inf + 742 1550698346.526 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1550698346.527 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k)))) 1550698346.527 * * * * [misc]progress: [ 11 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 12 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 13 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 14 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 15 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 16 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 17 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 18 / 126 ] simplifiying candidate #real (real->posit16 (pow (* PI n) (fma -1/2 k 1/2)))) (sqrt k))))> 1550698346.527 * * * * [misc]progress: [ 19 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 20 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 21 / 126 ] simplifiying candidate # 1550698346.527 * * * * [misc]progress: [ 22 / 126 ] simplifiying candidate # 1550698346.528 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k)))) 1550698346.528 * * [misc]simplify: iters left: 6 (16 enodes) 1550698346.537 * * [misc]simplify: iters left: 5 (63 enodes) 1550698346.558 * * [misc]simplify: iters left: 4 (107 enodes) 1550698346.605 * * [misc]simplify: iters left: 3 (283 enodes) 1550698346.771 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698346.771 * * [misc]simplify: Extracting #1: cost 60 inf + 0 1550698346.772 * * [misc]simplify: Extracting #2: cost 224 inf + 2 1550698346.774 * * [misc]simplify: Extracting #3: cost 213 inf + 2253 1550698346.782 * * [misc]simplify: Extracting #4: cost 143 inf + 20488 1550698346.796 * * [misc]simplify: Extracting #5: cost 28 inf + 59156 1550698346.824 * * [misc]simplify: Extracting #6: cost 0 inf + 70609 1550698346.852 * * [misc]simplify: Extracting #7: cost 0 inf + 70594 1550698346.874 * [exit]simplify: Simplified to (- (* (fma -1/2 k 1/2) (+ (log 2) (log (* PI n)))) (log (sqrt k))) 1550698346.874 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (fma -1/2 k 1/2) (+ (log 2) (log (* PI n)))) (log (sqrt k))))) 1550698346.874 * * * * [misc]progress: [ 23 / 126 ] simplifiying candidate # 1550698346.874 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k)))) 1550698346.875 * * [misc]simplify: iters left: 6 (16 enodes) 1550698346.883 * * [misc]simplify: iters left: 5 (63 enodes) 1550698346.903 * * [misc]simplify: iters left: 4 (107 enodes) 1550698346.951 * * [misc]simplify: iters left: 3 (283 enodes) 1550698347.139 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698347.139 * * [misc]simplify: Extracting #1: cost 60 inf + 0 1550698347.141 * * [misc]simplify: Extracting #2: cost 224 inf + 2 1550698347.143 * * [misc]simplify: Extracting #3: cost 213 inf + 2253 1550698347.150 * * [misc]simplify: Extracting #4: cost 143 inf + 20488 1550698347.173 * * [misc]simplify: Extracting #5: cost 28 inf + 59156 1550698347.201 * * [misc]simplify: Extracting #6: cost 0 inf + 70609 1550698347.229 * * [misc]simplify: Extracting #7: cost 0 inf + 70594 1550698347.256 * [exit]simplify: Simplified to (- (* (fma -1/2 k 1/2) (+ (log 2) (log (* PI n)))) (log (sqrt k))) 1550698347.256 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (fma -1/2 k 1/2) (+ (log 2) (log (* PI n)))) (log (sqrt k))))) 1550698347.257 * * * * [misc]progress: [ 24 / 126 ] simplifiying candidate # 1550698347.257 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (- (log (pow (* PI n) (fma -1/2 k 1/2))) (log (sqrt k)))) 1550698347.257 * * [misc]simplify: iters left: 6 (16 enodes) 1550698347.266 * * [misc]simplify: iters left: 5 (60 enodes) 1550698347.293 * * [misc]simplify: iters left: 4 (94 enodes) 1550698347.328 * * [misc]simplify: iters left: 3 (188 enodes) 1550698347.431 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698347.432 * * [misc]simplify: Extracting #1: cost 51 inf + 0 1550698347.432 * * [misc]simplify: Extracting #2: cost 153 inf + 44 1550698347.434 * * [misc]simplify: Extracting #3: cost 147 inf + 2049 1550698347.437 * * [misc]simplify: Extracting #4: cost 113 inf + 8801 1550698347.444 * * [misc]simplify: Extracting #5: cost 77 inf + 21307 1550698347.457 * * [misc]simplify: Extracting #6: cost 19 inf + 37424 1550698347.473 * * [misc]simplify: Extracting #7: cost 0 inf + 43348 1550698347.489 * [exit]simplify: Simplified to (- (* (+ (log (* PI n)) (log 2)) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698347.490 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* PI n)) (log 2)) (fma -1/2 k 1/2)) (log (sqrt k))))) 1550698347.490 * * * * [misc]progress: [ 25 / 126 ] simplifiying candidate # 1550698347.490 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (log (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)))) 1550698347.490 * * [misc]simplify: iters left: 6 (15 enodes) 1550698347.498 * * [misc]simplify: iters left: 5 (54 enodes) 1550698347.516 * * [misc]simplify: iters left: 4 (77 enodes) 1550698347.543 * * [misc]simplify: iters left: 3 (142 enodes) 1550698347.684 * * [misc]simplify: iters left: 2 (290 enodes) 1550698347.864 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698347.864 * * [misc]simplify: Extracting #1: cost 42 inf + 0 1550698347.865 * * [misc]simplify: Extracting #2: cost 157 inf + 44 1550698347.867 * * [misc]simplify: Extracting #3: cost 159 inf + 1759 1550698347.871 * * [misc]simplify: Extracting #4: cost 122 inf + 8212 1550698347.877 * * [misc]simplify: Extracting #5: cost 95 inf + 15034 1550698347.894 * * [misc]simplify: Extracting #6: cost 14 inf + 42154 1550698347.921 * * [misc]simplify: Extracting #7: cost 0 inf + 46664 1550698347.942 * [exit]simplify: Simplified to (- (* (fma -1/2 k 1/2) (+ (log (* PI n)) (log 2))) (log (sqrt k))) 1550698347.942 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (fma -1/2 k 1/2) (+ (log (* PI n)) (log 2))) (log (sqrt k))))) 1550698347.942 * * * * [misc]progress: [ 26 / 126 ] simplifiying candidate # 1550698347.943 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k)))) 1550698347.943 * * [misc]simplify: iters left: 6 (16 enodes) 1550698347.952 * * [misc]simplify: iters left: 5 (63 enodes) 1550698347.973 * * [misc]simplify: iters left: 4 (103 enodes) 1550698348.023 * * [misc]simplify: iters left: 3 (245 enodes) 1550698348.282 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698348.282 * * [misc]simplify: Extracting #1: cost 54 inf + 0 1550698348.283 * * [misc]simplify: Extracting #2: cost 201 inf + 2 1550698348.286 * * [misc]simplify: Extracting #3: cost 192 inf + 2831 1550698348.291 * * [misc]simplify: Extracting #4: cost 136 inf + 14936 1550698348.305 * * [misc]simplify: Extracting #5: cost 57 inf + 40958 1550698348.328 * * [misc]simplify: Extracting #6: cost 1 inf + 60574 1550698348.350 * * [misc]simplify: Extracting #7: cost 0 inf + 60524 1550698348.373 * [exit]simplify: Simplified to (- (* (+ (log 2) (log (* PI n))) (fma k -1/2 1/2)) (log (sqrt k))) 1550698348.380 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (log (* PI n))) (fma k -1/2 1/2)) (log (sqrt k))))) 1550698348.397 * * * * [misc]progress: [ 27 / 126 ] simplifiying candidate # 1550698348.405 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k)))) 1550698348.405 * * [misc]simplify: iters left: 6 (16 enodes) 1550698348.415 * * [misc]simplify: iters left: 5 (63 enodes) 1550698348.436 * * [misc]simplify: iters left: 4 (103 enodes) 1550698348.492 * * [misc]simplify: iters left: 3 (245 enodes) 1550698348.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698348.663 * * [misc]simplify: Extracting #1: cost 54 inf + 0 1550698348.664 * * [misc]simplify: Extracting #2: cost 201 inf + 2 1550698348.666 * * [misc]simplify: Extracting #3: cost 192 inf + 2831 1550698348.672 * * [misc]simplify: Extracting #4: cost 136 inf + 14936 1550698348.685 * * [misc]simplify: Extracting #5: cost 57 inf + 40958 1550698348.707 * * [misc]simplify: Extracting #6: cost 1 inf + 60574 1550698348.843 * * [misc]simplify: Extracting #7: cost 0 inf + 60524 1550698348.886 * [exit]simplify: Simplified to (- (* (+ (log 2) (log (* PI n))) (fma k -1/2 1/2)) (log (sqrt k))) 1550698348.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (log (* PI n))) (fma k -1/2 1/2)) (log (sqrt k))))) 1550698348.887 * * * * [misc]progress: [ 28 / 126 ] simplifiying candidate # 1550698348.901 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (- (log (pow (* PI n) (fma -1/2 k 1/2))) (log (sqrt k)))) 1550698348.912 * * [misc]simplify: iters left: 6 (16 enodes) 1550698348.960 * * [misc]simplify: iters left: 5 (60 enodes) 1550698349.020 * * [misc]simplify: iters left: 4 (90 enodes) 1550698349.068 * * [misc]simplify: iters left: 3 (149 enodes) 1550698349.284 * * [misc]simplify: iters left: 2 (437 enodes) 1550698350.138 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698350.138 * * [misc]simplify: Extracting #1: cost 106 inf + 0 1550698350.141 * * [misc]simplify: Extracting #2: cost 381 inf + 61 1550698350.147 * * [misc]simplify: Extracting #3: cost 342 inf + 14633 1550698350.173 * * [misc]simplify: Extracting #4: cost 141 inf + 75202 1550698350.223 * * [misc]simplify: Extracting #5: cost 5 inf + 128461 1550698350.279 * * [misc]simplify: Extracting #6: cost 0 inf + 130172 1550698350.334 * [exit]simplify: Simplified to (- (* (+ (log 2) (log (* PI n))) (fma k -1/2 1/2)) (log (sqrt k))) 1550698350.334 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (log (* PI n))) (fma k -1/2 1/2)) (log (sqrt k))))) 1550698350.334 * * * * [misc]progress: [ 29 / 126 ] simplifiying candidate # 1550698350.335 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (log (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)))) 1550698350.335 * * [misc]simplify: iters left: 6 (15 enodes) 1550698350.344 * * [misc]simplify: iters left: 5 (54 enodes) 1550698350.362 * * [misc]simplify: iters left: 4 (74 enodes) 1550698350.386 * * [misc]simplify: iters left: 3 (112 enodes) 1550698350.432 * * [misc]simplify: iters left: 2 (246 enodes) 1550698350.583 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698350.583 * * [misc]simplify: Extracting #1: cost 53 inf + 0 1550698350.585 * * [misc]simplify: Extracting #2: cost 186 inf + 3 1550698350.587 * * [misc]simplify: Extracting #3: cost 190 inf + 1466 1550698350.593 * * [misc]simplify: Extracting #4: cost 122 inf + 17109 1550698350.609 * * [misc]simplify: Extracting #5: cost 28 inf + 45909 1550698350.630 * * [misc]simplify: Extracting #6: cost 0 inf + 53681 1550698350.651 * * [misc]simplify: Extracting #7: cost 0 inf + 53636 1550698350.673 * [exit]simplify: Simplified to (- (* (fma k -1/2 1/2) (+ (log (* PI n)) (log 2))) (log (sqrt k))) 1550698350.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (fma k -1/2 1/2) (+ (log (* PI n)) (log 2))) (log (sqrt k))))) 1550698350.674 * * * * [misc]progress: [ 30 / 126 ] simplifiying candidate # 1550698350.674 * * * * [misc]progress: [ 31 / 126 ] simplifiying candidate # 1550698350.674 * * * * [misc]progress: [ 32 / 126 ] simplifiying candidate # 1550698350.674 * [enter]simplify: Simplifying (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (/ (* (* (pow (* PI n) (fma -1/2 k 1/2)) (pow (* PI n) (fma -1/2 k 1/2))) (pow (* PI n) (fma -1/2 k 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1550698350.674 * * [misc]simplify: iters left: 6 (19 enodes) 1550698350.685 * * [misc]simplify: iters left: 5 (73 enodes) 1550698350.716 * * [misc]simplify: iters left: 4 (167 enodes) 1550698350.819 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698350.820 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1550698350.820 * * [misc]simplify: Extracting #2: cost 155 inf + 123 1550698350.822 * * [misc]simplify: Extracting #3: cost 162 inf + 247 1550698350.823 * * [misc]simplify: Extracting #4: cost 148 inf + 3001 1550698350.834 * * [misc]simplify: Extracting #5: cost 69 inf + 43157 1550698350.859 * * [misc]simplify: Extracting #6: cost 3 inf + 86389 1550698350.982 * * [misc]simplify: Extracting #7: cost 0 inf + 88712 1550698351.038 * [exit]simplify: Simplified to (* (/ (* (pow (* n PI) (fma k -1/2 1/2)) (* (pow (* n PI) (fma k -1/2 1/2)) (pow (* n PI) (fma k -1/2 1/2)))) k) (/ (pow 2 (fma k -1/2 1/2)) (/ (sqrt k) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))))) 1550698351.038 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* n PI) (fma k -1/2 1/2)) (* (pow (* n PI) (fma k -1/2 1/2)) (pow (* n PI) (fma k -1/2 1/2)))) k) (/ (pow 2 (fma k -1/2 1/2)) (/ (sqrt k) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))))))) 1550698351.038 * * * * [misc]progress: [ 33 / 126 ] simplifiying candidate # 1550698351.038 * [enter]simplify: Simplifying (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)))) 1550698351.039 * * [misc]simplify: iters left: 6 (17 enodes) 1550698351.054 * * [misc]simplify: iters left: 5 (67 enodes) 1550698351.077 * * [misc]simplify: iters left: 4 (136 enodes) 1550698351.118 * * [misc]simplify: iters left: 3 (308 enodes) 1550698351.302 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.303 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1550698351.303 * * [misc]simplify: Extracting #2: cost 137 inf + 42 1550698351.305 * * [misc]simplify: Extracting #3: cost 153 inf + 247 1550698351.307 * * [misc]simplify: Extracting #4: cost 146 inf + 1236 1550698351.312 * * [misc]simplify: Extracting #5: cost 89 inf + 30772 1550698351.338 * * [misc]simplify: Extracting #6: cost 5 inf + 83613 1550698351.369 * * [misc]simplify: Extracting #7: cost 0 inf + 86403 1550698351.404 * [exit]simplify: Simplified to (* (/ (pow (* n PI) (fma k -1/2 1/2)) (/ k (pow (* n PI) (fma k -1/2 1/2)))) (* (* (pow 2 (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))) (/ (pow (* n PI) (fma k -1/2 1/2)) (sqrt k)))) 1550698351.404 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* n PI) (fma k -1/2 1/2)) (/ k (pow (* n PI) (fma k -1/2 1/2)))) (* (* (pow 2 (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))) (/ (pow (* n PI) (fma k -1/2 1/2)) (sqrt k)))))) 1550698351.404 * * * * [misc]progress: [ 34 / 126 ] simplifiying candidate # 1550698351.404 * * * * [misc]progress: [ 35 / 126 ] simplifiying candidate # 1550698351.404 * * * * [misc]progress: [ 36 / 126 ] simplifiying candidate # 1550698351.404 * * * * [misc]progress: [ 37 / 126 ] simplifiying candidate # 1550698351.404 * * * * [misc]progress: [ 38 / 126 ] simplifiying candidate # 1550698351.405 * [enter]simplify: Simplifying (cbrt (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))) 1550698351.405 * * [misc]simplify: iters left: 6 (11 enodes) 1550698351.477 * * [misc]simplify: iters left: 5 (36 enodes) 1550698351.488 * * [misc]simplify: iters left: 4 (40 enodes) 1550698351.500 * * [misc]simplify: iters left: 3 (41 enodes) 1550698351.513 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.513 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698351.513 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698351.513 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1550698351.513 * * [misc]simplify: Extracting #4: cost 16 inf + 42 1550698351.514 * * [misc]simplify: Extracting #5: cost 11 inf + 129 1550698351.514 * * [misc]simplify: Extracting #6: cost 4 inf + 1071 1550698351.514 * * [misc]simplify: Extracting #7: cost 0 inf + 2711 1550698351.515 * [exit]simplify: Simplified to (cbrt (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))) 1550698351.515 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (* (cbrt (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))) (cbrt (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))) (cbrt (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))) 1550698351.515 * * * * [misc]progress: [ 39 / 126 ] simplifiying candidate # 1550698351.516 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))) 1550698351.516 * * [misc]simplify: iters left: 6 (11 enodes) 1550698351.522 * * [misc]simplify: iters left: 5 (36 enodes) 1550698351.533 * * [misc]simplify: iters left: 4 (40 enodes) 1550698351.545 * * [misc]simplify: iters left: 3 (41 enodes) 1550698351.565 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.565 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698351.565 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698351.565 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1550698351.565 * * [misc]simplify: Extracting #4: cost 16 inf + 42 1550698351.565 * * [misc]simplify: Extracting #5: cost 11 inf + 129 1550698351.566 * * [misc]simplify: Extracting #6: cost 4 inf + 1071 1550698351.566 * * [misc]simplify: Extracting #7: cost 0 inf + 2631 1550698351.567 * [exit]simplify: Simplified to (sqrt (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))) 1550698351.567 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (sqrt (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)))) (sqrt (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))) 1550698351.567 * * * * [misc]progress: [ 40 / 126 ] simplifiying candidate # 1550698351.567 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (cbrt (sqrt k))) 1550698351.568 * * [misc]simplify: iters left: 5 (9 enodes) 1550698351.577 * * [misc]simplify: iters left: 4 (29 enodes) 1550698351.593 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.593 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.593 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698351.593 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1550698351.593 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1550698351.593 * * [misc]simplify: Extracting #5: cost 3 inf + 455 1550698351.594 * * [misc]simplify: Extracting #6: cost 0 inf + 1062 1550698351.594 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (cbrt (sqrt k))) 1550698351.594 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (* PI n)) (cbrt (sqrt k))))) 1550698351.594 * * * * [misc]progress: [ 41 / 126 ] simplifiying candidate # 1550698351.598 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (sqrt (sqrt k))) 1550698351.598 * * [misc]simplify: iters left: 5 (9 enodes) 1550698351.603 * * [misc]simplify: iters left: 4 (29 enodes) 1550698351.613 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.613 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.613 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698351.614 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1550698351.614 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1550698351.614 * * [misc]simplify: Extracting #5: cost 3 inf + 415 1550698351.614 * * [misc]simplify: Extracting #6: cost 0 inf + 902 1550698351.614 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (sqrt (sqrt k))) 1550698351.614 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (* -1/2 k)) (sqrt (sqrt k)))) (/ (sqrt (* PI n)) (sqrt (sqrt k))))) 1550698351.615 * * * * [misc]progress: [ 42 / 126 ] simplifiying candidate # 1550698351.618 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (sqrt k)) 1550698351.618 * * [misc]simplify: iters left: 5 (8 enodes) 1550698351.623 * * [misc]simplify: iters left: 4 (26 enodes) 1550698351.630 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.631 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.631 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698351.631 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550698351.631 * * [misc]simplify: Extracting #4: cost 6 inf + 86 1550698351.631 * * [misc]simplify: Extracting #5: cost 1 inf + 497 1550698351.631 * * [misc]simplify: Extracting #6: cost 0 inf + 660 1550698351.632 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (sqrt k)) 1550698351.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (* -1/2 k)) 1)) (/ (sqrt (* PI n)) (sqrt k)))) 1550698351.632 * * * * [misc]progress: [ 43 / 126 ] simplifiying candidate # 1550698351.632 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698351.632 * * [misc]simplify: iters left: 4 (9 enodes) 1550698351.637 * * [misc]simplify: iters left: 3 (29 enodes) 1550698351.647 * * [misc]simplify: iters left: 2 (33 enodes) 1550698351.657 * * [misc]simplify: iters left: 1 (34 enodes) 1550698351.670 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.670 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.671 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698351.671 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698351.671 * * [misc]simplify: Extracting #4: cost 9 inf + 208 1550698351.671 * * [misc]simplify: Extracting #5: cost 4 inf + 739 1550698351.671 * * [misc]simplify: Extracting #6: cost 0 inf + 1924 1550698351.672 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1550698351.672 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1550698351.672 * * * * [misc]progress: [ 44 / 126 ] simplifiying candidate # 1550698351.673 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698351.673 * * [misc]simplify: iters left: 4 (9 enodes) 1550698351.678 * * [misc]simplify: iters left: 3 (29 enodes) 1550698351.687 * * [misc]simplify: iters left: 2 (33 enodes) 1550698351.697 * * [misc]simplify: iters left: 1 (34 enodes) 1550698351.707 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.707 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.707 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698351.707 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698351.707 * * [misc]simplify: Extracting #4: cost 9 inf + 168 1550698351.708 * * [misc]simplify: Extracting #5: cost 4 inf + 659 1550698351.708 * * [misc]simplify: Extracting #6: cost 0 inf + 1764 1550698351.708 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698351.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (sqrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1550698351.709 * * * * [misc]progress: [ 45 / 126 ] simplifiying candidate # 1550698351.709 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1550698351.709 * * [misc]simplify: iters left: 4 (8 enodes) 1550698351.713 * * [misc]simplify: iters left: 3 (26 enodes) 1550698351.723 * * [misc]simplify: iters left: 2 (30 enodes) 1550698351.732 * * [misc]simplify: iters left: 1 (31 enodes) 1550698351.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.741 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.741 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698351.741 * * [misc]simplify: Extracting #3: cost 10 inf + 43 1550698351.742 * * [misc]simplify: Extracting #4: cost 8 inf + 86 1550698351.742 * * [misc]simplify: Extracting #5: cost 2 inf + 904 1550698351.742 * * [misc]simplify: Extracting #6: cost 0 inf + 1522 1550698351.743 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1550698351.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) 1)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1550698351.743 * * * * [misc]progress: [ 46 / 126 ] simplifiying candidate # 1550698351.743 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698351.743 * * [misc]simplify: iters left: 6 (12 enodes) 1550698351.749 * * [misc]simplify: iters left: 5 (39 enodes) 1550698351.761 * * [misc]simplify: iters left: 4 (43 enodes) 1550698351.774 * * [misc]simplify: iters left: 3 (44 enodes) 1550698351.786 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.787 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.787 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698351.787 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698351.787 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1550698351.787 * * [misc]simplify: Extracting #5: cost 12 inf + 329 1550698351.787 * * [misc]simplify: Extracting #6: cost 4 inf + 1233 1550698351.788 * * [misc]simplify: Extracting #7: cost 1 inf + 2563 1550698351.788 * * [misc]simplify: Extracting #8: cost 0 inf + 3113 1550698351.789 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698351.789 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))))) 1550698351.789 * * * * [misc]progress: [ 47 / 126 ] simplifiying candidate # 1550698351.790 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698351.790 * * [misc]simplify: iters left: 6 (12 enodes) 1550698351.796 * * [misc]simplify: iters left: 5 (39 enodes) 1550698351.808 * * [misc]simplify: iters left: 4 (43 enodes) 1550698351.820 * * [misc]simplify: iters left: 3 (44 enodes) 1550698351.836 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.836 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.836 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698351.836 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698351.836 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1550698351.836 * * [misc]simplify: Extracting #5: cost 12 inf + 249 1550698351.836 * * [misc]simplify: Extracting #6: cost 4 inf + 1153 1550698351.837 * * [misc]simplify: Extracting #7: cost 1 inf + 2443 1550698351.838 * * [misc]simplify: Extracting #8: cost 0 inf + 2953 1550698351.838 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698351.838 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))))) 1550698351.839 * * * * [misc]progress: [ 48 / 126 ] simplifiying candidate # 1550698351.839 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)) 1550698351.839 * * [misc]simplify: iters left: 6 (11 enodes) 1550698351.845 * * [misc]simplify: iters left: 5 (36 enodes) 1550698351.856 * * [misc]simplify: iters left: 4 (40 enodes) 1550698351.868 * * [misc]simplify: iters left: 3 (41 enodes) 1550698351.880 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.880 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.880 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698351.880 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550698351.880 * * [misc]simplify: Extracting #4: cost 15 inf + 83 1550698351.880 * * [misc]simplify: Extracting #5: cost 11 inf + 129 1550698351.880 * * [misc]simplify: Extracting #6: cost 5 inf + 681 1550698351.881 * * [misc]simplify: Extracting #7: cost 0 inf + 2711 1550698351.881 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)) 1550698351.882 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) 1)) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)))) 1550698351.882 * * * * [misc]progress: [ 49 / 126 ] simplifiying candidate # 1550698351.882 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698351.882 * * [misc]simplify: iters left: 6 (12 enodes) 1550698351.889 * * [misc]simplify: iters left: 5 (39 enodes) 1550698351.925 * * [misc]simplify: iters left: 4 (43 enodes) 1550698351.938 * * [misc]simplify: iters left: 3 (44 enodes) 1550698351.950 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.950 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.950 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698351.950 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698351.950 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1550698351.950 * * [misc]simplify: Extracting #5: cost 12 inf + 329 1550698351.951 * * [misc]simplify: Extracting #6: cost 4 inf + 1233 1550698351.951 * * [misc]simplify: Extracting #7: cost 1 inf + 2443 1550698351.952 * * [misc]simplify: Extracting #8: cost 0 inf + 2953 1550698351.953 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698351.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))))) 1550698351.953 * * * * [misc]progress: [ 50 / 126 ] simplifiying candidate # 1550698351.953 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698351.953 * * [misc]simplify: iters left: 6 (12 enodes) 1550698351.960 * * [misc]simplify: iters left: 5 (39 enodes) 1550698351.972 * * [misc]simplify: iters left: 4 (43 enodes) 1550698351.985 * * [misc]simplify: iters left: 3 (44 enodes) 1550698351.998 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698351.998 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698351.998 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698351.998 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698351.998 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1550698351.998 * * [misc]simplify: Extracting #5: cost 12 inf + 249 1550698351.999 * * [misc]simplify: Extracting #6: cost 4 inf + 1153 1550698351.999 * * [misc]simplify: Extracting #7: cost 1 inf + 2323 1550698352.000 * * [misc]simplify: Extracting #8: cost 0 inf + 2793 1550698352.009 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698352.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k)))) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))))) 1550698352.009 * * * * [misc]progress: [ 51 / 126 ] simplifiying candidate # 1550698352.009 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)) 1550698352.010 * * [misc]simplify: iters left: 6 (11 enodes) 1550698352.015 * * [misc]simplify: iters left: 5 (36 enodes) 1550698352.028 * * [misc]simplify: iters left: 4 (40 enodes) 1550698352.040 * * [misc]simplify: iters left: 3 (41 enodes) 1550698352.052 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.052 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698352.052 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698352.052 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550698352.052 * * [misc]simplify: Extracting #4: cost 15 inf + 83 1550698352.052 * * [misc]simplify: Extracting #5: cost 11 inf + 129 1550698352.053 * * [misc]simplify: Extracting #6: cost 5 inf + 681 1550698352.053 * * [misc]simplify: Extracting #7: cost 0 inf + 2551 1550698352.054 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)) 1550698352.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) 1)) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)))) 1550698352.054 * * * * [misc]progress: [ 52 / 126 ] simplifiying candidate # 1550698352.054 * [enter]simplify: Simplifying (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698352.054 * * [misc]simplify: iters left: 5 (11 enodes) 1550698352.060 * * [misc]simplify: iters left: 4 (36 enodes) 1550698352.071 * * [misc]simplify: iters left: 3 (40 enodes) 1550698352.083 * * [misc]simplify: iters left: 2 (41 enodes) 1550698352.095 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.095 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698352.095 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698352.095 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698352.095 * * [misc]simplify: Extracting #4: cost 10 inf + 250 1550698352.096 * * [misc]simplify: Extracting #5: cost 3 inf + 923 1550698352.096 * * [misc]simplify: Extracting #6: cost 0 inf + 2173 1550698352.097 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698352.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1550698352.097 * * * * [misc]progress: [ 53 / 126 ] simplifiying candidate # 1550698352.097 * [enter]simplify: Simplifying (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698352.097 * * [misc]simplify: iters left: 5 (11 enodes) 1550698352.102 * * [misc]simplify: iters left: 4 (36 enodes) 1550698352.113 * * [misc]simplify: iters left: 3 (40 enodes) 1550698352.125 * * [misc]simplify: iters left: 2 (41 enodes) 1550698352.136 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.137 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698352.137 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698352.137 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698352.137 * * [misc]simplify: Extracting #4: cost 10 inf + 210 1550698352.137 * * [misc]simplify: Extracting #5: cost 3 inf + 843 1550698352.138 * * [misc]simplify: Extracting #6: cost 0 inf + 2013 1550698352.138 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698352.138 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1550698352.138 * * * * [misc]progress: [ 54 / 126 ] simplifiying candidate # 1550698352.139 * [enter]simplify: Simplifying (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)) 1550698352.139 * * [misc]simplify: iters left: 5 (10 enodes) 1550698352.144 * * [misc]simplify: iters left: 4 (33 enodes) 1550698352.154 * * [misc]simplify: iters left: 3 (37 enodes) 1550698352.165 * * [misc]simplify: iters left: 2 (38 enodes) 1550698352.177 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.177 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698352.177 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698352.177 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550698352.177 * * [misc]simplify: Extracting #4: cost 10 inf + 87 1550698352.178 * * [misc]simplify: Extracting #5: cost 0 inf + 1771 1550698352.178 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)) 1550698352.178 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 1)) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)))) 1550698352.179 * * * * [misc]progress: [ 55 / 126 ] simplifiying candidate # 1550698352.179 * [enter]simplify: Simplifying (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)) 1550698352.179 * * [misc]simplify: iters left: 5 (10 enodes) 1550698352.184 * * [misc]simplify: iters left: 4 (33 enodes) 1550698352.197 * * [misc]simplify: iters left: 3 (37 enodes) 1550698352.208 * * [misc]simplify: iters left: 2 (38 enodes) 1550698352.219 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.219 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698352.219 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698352.219 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550698352.219 * * [misc]simplify: Extracting #4: cost 10 inf + 87 1550698352.220 * * [misc]simplify: Extracting #5: cost 0 inf + 1771 1550698352.220 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)) 1550698352.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) 1) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)))) 1550698352.220 * * * * [misc]progress: [ 56 / 126 ] simplifiying candidate # 1550698352.221 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1550698352.221 * * [misc]simplify: iters left: 3 (4 enodes) 1550698352.223 * * [misc]simplify: iters left: 2 (14 enodes) 1550698352.229 * * [misc]simplify: iters left: 1 (16 enodes) 1550698352.234 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.234 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698352.234 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698352.234 * * [misc]simplify: Extracting #3: cost 3 inf + 43 1550698352.234 * * [misc]simplify: Extracting #4: cost 1 inf + 166 1550698352.234 * * [misc]simplify: Extracting #5: cost 0 inf + 248 1550698352.234 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1550698352.234 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (pow (* PI n) (fma -1/2 k 1/2))) (/ 1 (sqrt k)))) 1550698352.235 * * * * [misc]progress: [ 57 / 126 ] simplifiying candidate # 1550698352.235 * [enter]simplify: Simplifying (pow 2 (* -1/2 k)) 1550698352.235 * * [misc]simplify: iters left: 3 (5 enodes) 1550698352.238 * * [misc]simplify: iters left: 2 (16 enodes) 1550698352.243 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.243 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698352.243 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698352.244 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1550698352.244 * [exit]simplify: Simplified to (pow 2 (* k -1/2)) 1550698352.244 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow 2 (* k -1/2)) (* (pow 2 1/2) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))) 1550698352.244 * * * * [misc]progress: [ 58 / 126 ] simplifiying candidate # 1550698352.244 * [enter]simplify: Simplifying (* (cbrt (pow 2 (fma -1/2 k 1/2))) (cbrt (pow 2 (fma -1/2 k 1/2)))) 1550698352.244 * * [misc]simplify: iters left: 5 (8 enodes) 1550698352.249 * * [misc]simplify: iters left: 4 (26 enodes) 1550698352.258 * * [misc]simplify: iters left: 3 (30 enodes) 1550698352.269 * * [misc]simplify: iters left: 2 (31 enodes) 1550698352.279 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.280 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698352.280 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698352.280 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550698352.280 * * [misc]simplify: Extracting #4: cost 12 inf + 1 1550698352.280 * * [misc]simplify: Extracting #5: cost 10 inf + 4 1550698352.280 * * [misc]simplify: Extracting #6: cost 5 inf + 473 1550698352.281 * * [misc]simplify: Extracting #7: cost 1 inf + 1829 1550698352.281 * * [misc]simplify: Extracting #8: cost 0 inf + 2218 1550698352.281 * [exit]simplify: Simplified to (* (cbrt (pow 2 (fma k -1/2 1/2))) (cbrt (pow 2 (fma k -1/2 1/2)))) 1550698352.282 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow 2 (fma k -1/2 1/2))) (cbrt (pow 2 (fma k -1/2 1/2)))) (* (cbrt (pow 2 (fma -1/2 k 1/2))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))) 1550698352.282 * * * * [misc]progress: [ 59 / 126 ] simplifiying candidate # 1550698352.282 * [enter]simplify: Simplifying (sqrt (pow 2 (fma -1/2 k 1/2))) 1550698352.282 * * [misc]simplify: iters left: 3 (7 enodes) 1550698352.287 * * [misc]simplify: iters left: 2 (23 enodes) 1550698352.295 * * [misc]simplify: iters left: 1 (27 enodes) 1550698352.303 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.303 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698352.304 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698352.304 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698352.304 * * [misc]simplify: Extracting #4: cost 8 inf + 4 1550698352.304 * * [misc]simplify: Extracting #5: cost 2 inf + 782 1550698352.304 * * [misc]simplify: Extracting #6: cost 0 inf + 1360 1550698352.305 * [exit]simplify: Simplified to (sqrt (pow 2 (fma k -1/2 1/2))) 1550698352.305 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow 2 (fma k -1/2 1/2))) (* (sqrt (pow 2 (fma -1/2 k 1/2))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))) 1550698352.305 * * * * [misc]progress: [ 60 / 126 ] simplifiying candidate # 1550698352.305 * * * * [misc]progress: [ 61 / 126 ] simplifiying candidate # 1550698352.305 * [enter]simplify: Simplifying (sqrt k) 1550698352.305 * * [misc]simplify: iters left: 1 (2 enodes) 1550698352.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.306 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698352.306 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1550698352.307 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1550698352.307 * [exit]simplify: Simplified to (sqrt k) 1550698352.307 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k))) 1550698352.307 * * * * [misc]progress: [ 62 / 126 ] simplifiying candidate #real (real->posit16 (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))))> 1550698352.307 * * * * [misc]progress: [ 63 / 126 ] simplifiying candidate # 1550698352.307 * * * * [misc]progress: [ 64 / 126 ] simplifiying candidate # 1550698352.307 * * * * [misc]progress: [ 65 / 126 ] simplifiying candidate # 1550698352.307 * * * * [misc]progress: [ 66 / 126 ] simplifiying candidate # 1550698352.307 * * * * [misc]progress: [ 67 / 126 ] simplifiying candidate # 1550698352.307 * * * * [misc]progress: [ 68 / 126 ] simplifiying candidate # 1550698352.307 * * * * [misc]progress: [ 69 / 126 ] simplifiying candidate # 1550698352.307 * * * * [misc]progress: [ 70 / 126 ] simplifiying candidate # 1550698352.307 * * * * [misc]progress: [ 71 / 126 ] simplifiying candidate # 1550698352.307 * * * * [misc]progress: [ 72 / 126 ] simplifiying candidate # 1550698352.308 * * * * [misc]progress: [ 73 / 126 ] simplifiying candidate #real (real->posit16 (* PI n))) (fma -1/2 k 1/2)) (sqrt k))))> 1550698352.308 * * * * [misc]progress: [ 74 / 126 ] simplifiying candidate # 1550698352.308 * * * * [misc]progress: [ 75 / 126 ] simplifiying candidate # 1550698352.308 * * * * [misc]progress: [ 76 / 126 ] simplifiying candidate # 1550698352.308 * * * * [misc]progress: [ 77 / 126 ] simplifiying candidate # 1550698352.308 * * * * [misc]progress: [ 78 / 126 ] simplifiying candidate # 1550698352.308 * [enter]simplify: Simplifying (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698352.308 * * [misc]simplify: iters left: 6 (12 enodes) 1550698352.315 * * [misc]simplify: iters left: 5 (46 enodes) 1550698352.329 * * [misc]simplify: iters left: 4 (71 enodes) 1550698352.359 * * [misc]simplify: iters left: 3 (152 enodes) 1550698352.438 * * [misc]simplify: iters left: 2 (408 enodes) 1550698352.676 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698352.677 * * [misc]simplify: Extracting #1: cost 90 inf + 0 1550698352.679 * * [misc]simplify: Extracting #2: cost 192 inf + 103 1550698352.681 * * [misc]simplify: Extracting #3: cost 172 inf + 2907 1550698352.701 * * [misc]simplify: Extracting #4: cost 44 inf + 40744 1550698352.736 * * [misc]simplify: Extracting #5: cost 1 inf + 55962 1550698352.764 * * [misc]simplify: Extracting #6: cost 0 inf + 56497 1550698352.791 * [exit]simplify: Simplified to (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698352.791 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (exp (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1550698352.791 * * * * [misc]progress: [ 79 / 126 ] simplifiying candidate # 1550698352.792 * [enter]simplify: Simplifying (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698352.792 * * [misc]simplify: iters left: 6 (12 enodes) 1550698352.798 * * [misc]simplify: iters left: 5 (46 enodes) 1550698352.813 * * [misc]simplify: iters left: 4 (71 enodes) 1550698352.839 * * [misc]simplify: iters left: 3 (152 enodes) 1550698352.970 * * [misc]simplify: iters left: 2 (408 enodes) 1550698353.215 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698353.216 * * [misc]simplify: Extracting #1: cost 90 inf + 0 1550698353.218 * * [misc]simplify: Extracting #2: cost 192 inf + 103 1550698353.221 * * [misc]simplify: Extracting #3: cost 172 inf + 2907 1550698353.237 * * [misc]simplify: Extracting #4: cost 44 inf + 40744 1550698353.268 * * [misc]simplify: Extracting #5: cost 1 inf + 55962 1550698353.297 * * [misc]simplify: Extracting #6: cost 0 inf + 56497 1550698353.325 * [exit]simplify: Simplified to (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698353.325 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (exp (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1550698353.325 * * * * [misc]progress: [ 80 / 126 ] simplifiying candidate # 1550698353.325 * [enter]simplify: Simplifying (- (log (pow (* PI n) (fma -1/2 k 1/2))) (log (sqrt k))) 1550698353.325 * * [misc]simplify: iters left: 6 (12 enodes) 1550698353.332 * * [misc]simplify: iters left: 5 (43 enodes) 1550698353.345 * * [misc]simplify: iters left: 4 (58 enodes) 1550698353.362 * * [misc]simplify: iters left: 3 (80 enodes) 1550698353.395 * * [misc]simplify: iters left: 2 (184 enodes) 1550698353.721 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698353.721 * * [misc]simplify: Extracting #1: cost 47 inf + 0 1550698353.722 * * [misc]simplify: Extracting #2: cost 105 inf + 103 1550698353.723 * * [misc]simplify: Extracting #3: cost 100 inf + 978 1550698353.740 * * [misc]simplify: Extracting #4: cost 65 inf + 8095 1550698353.788 * * [misc]simplify: Extracting #5: cost 10 inf + 23939 1550698353.828 * * [misc]simplify: Extracting #6: cost 0 inf + 27939 1550698353.848 * [exit]simplify: Simplified to (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698353.849 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (exp (- (* (log (* PI n)) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1550698353.852 * * * * [misc]progress: [ 81 / 126 ] simplifiying candidate # 1550698353.855 * * * * [misc]progress: [ 82 / 126 ] simplifiying candidate # 1550698353.856 * * * * [misc]progress: [ 83 / 126 ] simplifiying candidate # 1550698353.856 * [enter]simplify: Simplifying (/ (* (* (pow (* PI n) (fma -1/2 k 1/2)) (pow (* PI n) (fma -1/2 k 1/2))) (pow (* PI n) (fma -1/2 k 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1550698353.856 * * [misc]simplify: iters left: 6 (14 enodes) 1550698353.922 * * [misc]simplify: iters left: 5 (52 enodes) 1550698353.947 * * [misc]simplify: iters left: 4 (96 enodes) 1550698354.038 * * [misc]simplify: iters left: 3 (165 enodes) 1550698354.083 * * [misc]simplify: iters left: 2 (203 enodes) 1550698354.266 * * [misc]simplify: iters left: 1 (223 enodes) 1550698354.517 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.517 * * [misc]simplify: Extracting #1: cost 25 inf + 0 1550698354.518 * * [misc]simplify: Extracting #2: cost 47 inf + 1 1550698354.518 * * [misc]simplify: Extracting #3: cost 49 inf + 246 1550698354.519 * * [misc]simplify: Extracting #4: cost 44 inf + 350 1550698354.520 * * [misc]simplify: Extracting #5: cost 32 inf + 3374 1550698354.524 * * [misc]simplify: Extracting #6: cost 4 inf + 15174 1550698354.530 * * [misc]simplify: Extracting #7: cost 0 inf + 16894 1550698354.536 * [exit]simplify: Simplified to (* (* (/ (pow (* PI n) (fma -1/2 k 1/2)) k) (pow (* PI n) (fma -1/2 k 1/2))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))) 1550698354.541 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (cbrt (* (* (/ (pow (* PI n) (fma -1/2 k 1/2)) k) (pow (* PI n) (fma -1/2 k 1/2))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)))))) 1550698354.553 * * * * [misc]progress: [ 84 / 126 ] simplifiying candidate # 1550698354.554 * * * * [misc]progress: [ 85 / 126 ] simplifiying candidate # 1550698354.554 * * * * [misc]progress: [ 86 / 126 ] simplifiying candidate # 1550698354.554 * * * * [misc]progress: [ 87 / 126 ] simplifiying candidate # 1550698354.554 * * * * [misc]progress: [ 88 / 126 ] simplifiying candidate # 1550698354.554 * [enter]simplify: Simplifying (/ (pow (* PI n) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698354.554 * * [misc]simplify: iters left: 6 (11 enodes) 1550698354.565 * * [misc]simplify: iters left: 5 (37 enodes) 1550698354.591 * * [misc]simplify: iters left: 4 (39 enodes) 1550698354.638 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.638 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698354.638 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698354.638 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550698354.639 * * [misc]simplify: Extracting #4: cost 14 inf + 87 1550698354.639 * * [misc]simplify: Extracting #5: cost 4 inf + 1699 1550698354.640 * * [misc]simplify: Extracting #6: cost 0 inf + 3302 1550698354.640 * [exit]simplify: Simplified to (/ (pow (* PI n) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698354.644 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow (* PI n) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) 1/2) (cbrt (sqrt k)))))) 1550698354.645 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (cbrt (sqrt k))) 1550698354.645 * * [misc]simplify: iters left: 5 (9 enodes) 1550698354.653 * * [misc]simplify: iters left: 4 (29 enodes) 1550698354.669 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.669 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698354.669 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698354.669 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1550698354.669 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1550698354.669 * * [misc]simplify: Extracting #5: cost 3 inf + 455 1550698354.669 * * [misc]simplify: Extracting #6: cost 0 inf + 1062 1550698354.670 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (cbrt (sqrt k))) 1550698354.670 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow (* PI n) (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* PI n)) (cbrt (sqrt k)))))) 1550698354.670 * * * * [misc]progress: [ 89 / 126 ] simplifiying candidate # 1550698354.670 * [enter]simplify: Simplifying (/ (pow (* PI n) (* -1/2 k)) (sqrt (sqrt k))) 1550698354.670 * * [misc]simplify: iters left: 5 (10 enodes) 1550698354.684 * * [misc]simplify: iters left: 4 (32 enodes) 1550698354.701 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.701 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698354.702 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698354.702 * * [misc]simplify: Extracting #3: cost 16 inf + 0 1550698354.702 * * [misc]simplify: Extracting #4: cost 10 inf + 87 1550698354.702 * * [misc]simplify: Extracting #5: cost 0 inf + 1832 1550698354.702 * [exit]simplify: Simplified to (/ (pow (* PI n) (* -1/2 k)) (sqrt (sqrt k))) 1550698354.703 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow (* PI n) (* -1/2 k)) (sqrt (sqrt k))) (/ (pow (* PI n) 1/2) (sqrt (sqrt k)))))) 1550698354.703 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (sqrt (sqrt k))) 1550698354.703 * * [misc]simplify: iters left: 5 (9 enodes) 1550698354.707 * * [misc]simplify: iters left: 4 (29 enodes) 1550698354.716 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.716 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698354.716 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698354.716 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1550698354.716 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1550698354.717 * * [misc]simplify: Extracting #5: cost 3 inf + 415 1550698354.717 * * [misc]simplify: Extracting #6: cost 0 inf + 902 1550698354.717 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (sqrt (sqrt k))) 1550698354.717 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow (* PI n) (* -1/2 k)) (sqrt (sqrt k))) (/ (sqrt (* PI n)) (sqrt (sqrt k)))))) 1550698354.717 * * * * [misc]progress: [ 90 / 126 ] simplifiying candidate # 1550698354.718 * [enter]simplify: Simplifying (/ (pow (* PI n) (* -1/2 k)) 1) 1550698354.718 * * [misc]simplify: iters left: 5 (9 enodes) 1550698354.723 * * [misc]simplify: iters left: 4 (29 enodes) 1550698354.732 * * [misc]simplify: iters left: 3 (31 enodes) 1550698354.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.741 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698354.741 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1550698354.741 * * [misc]simplify: Extracting #3: cost 6 inf + 5 1550698354.741 * * [misc]simplify: Extracting #4: cost 2 inf + 425 1550698354.742 * * [misc]simplify: Extracting #5: cost 0 inf + 761 1550698354.742 * [exit]simplify: Simplified to (pow (* PI n) (* -1/2 k)) 1550698354.742 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow (* PI n) (* -1/2 k)) (/ (pow (* PI n) 1/2) (sqrt k))))) 1550698354.742 * [enter]simplify: Simplifying (/ (pow (* PI n) 1/2) (sqrt k)) 1550698354.742 * * [misc]simplify: iters left: 5 (8 enodes) 1550698354.746 * * [misc]simplify: iters left: 4 (26 enodes) 1550698354.754 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.754 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698354.754 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698354.754 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550698354.754 * * [misc]simplify: Extracting #4: cost 6 inf + 86 1550698354.755 * * [misc]simplify: Extracting #5: cost 1 inf + 497 1550698354.755 * * [misc]simplify: Extracting #6: cost 0 inf + 660 1550698354.755 * [exit]simplify: Simplified to (/ (sqrt (* PI n)) (sqrt k)) 1550698354.755 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow (* PI n) (* -1/2 k)) (/ (sqrt (* PI n)) (sqrt k))))) 1550698354.755 * * * * [misc]progress: [ 91 / 126 ] simplifiying candidate # 1550698354.756 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698354.756 * * [misc]simplify: iters left: 6 (10 enodes) 1550698354.761 * * [misc]simplify: iters left: 5 (34 enodes) 1550698354.774 * * [misc]simplify: iters left: 4 (40 enodes) 1550698354.787 * * [misc]simplify: iters left: 3 (41 enodes) 1550698354.799 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.799 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698354.799 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698354.799 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1550698354.799 * * [misc]simplify: Extracting #4: cost 12 inf + 328 1550698354.800 * * [misc]simplify: Extracting #5: cost 3 inf + 2284 1550698354.800 * * [misc]simplify: Extracting #6: cost 1 inf + 2755 1550698354.801 * * [misc]simplify: Extracting #7: cost 0 inf + 3184 1550698354.802 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698354.802 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (fma k -1/2 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k)))))) 1550698354.802 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698354.802 * * [misc]simplify: iters left: 4 (9 enodes) 1550698354.807 * * [misc]simplify: iters left: 3 (29 enodes) 1550698354.817 * * [misc]simplify: iters left: 2 (33 enodes) 1550698354.827 * * [misc]simplify: iters left: 1 (34 enodes) 1550698354.837 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.837 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698354.837 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698354.837 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698354.837 * * [misc]simplify: Extracting #4: cost 9 inf + 208 1550698354.837 * * [misc]simplify: Extracting #5: cost 4 inf + 739 1550698354.838 * * [misc]simplify: Extracting #6: cost 0 inf + 1924 1550698354.838 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1550698354.838 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k)))))) 1550698354.838 * * * * [misc]progress: [ 92 / 126 ] simplifiying candidate # 1550698354.838 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698354.839 * * [misc]simplify: iters left: 4 (9 enodes) 1550698354.843 * * [misc]simplify: iters left: 3 (29 enodes) 1550698354.853 * * [misc]simplify: iters left: 2 (33 enodes) 1550698354.863 * * [misc]simplify: iters left: 1 (34 enodes) 1550698354.873 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.873 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698354.873 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698354.873 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698354.873 * * [misc]simplify: Extracting #4: cost 9 inf + 168 1550698354.873 * * [misc]simplify: Extracting #5: cost 4 inf + 659 1550698354.874 * * [misc]simplify: Extracting #6: cost 0 inf + 1764 1550698354.874 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698354.874 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k)))))) 1550698354.874 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698354.875 * * [misc]simplify: iters left: 4 (9 enodes) 1550698354.879 * * [misc]simplify: iters left: 3 (29 enodes) 1550698354.888 * * [misc]simplify: iters left: 2 (33 enodes) 1550698354.898 * * [misc]simplify: iters left: 1 (34 enodes) 1550698354.908 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698354.909 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698354.909 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698354.909 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698354.909 * * [misc]simplify: Extracting #4: cost 9 inf + 168 1550698354.909 * * [misc]simplify: Extracting #5: cost 4 inf + 659 1550698354.909 * * [misc]simplify: Extracting #6: cost 0 inf + 1764 1550698354.910 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1550698354.910 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k)))))) 1550698354.910 * * * * [misc]progress: [ 93 / 126 ] simplifiying candidate # 1550698354.910 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) 1) 1550698354.911 * * [misc]simplify: iters left: 4 (8 enodes) 1550698354.918 * * [misc]simplify: iters left: 3 (26 enodes) 1550698354.926 * * [misc]simplify: iters left: 2 (32 enodes) 1550698355.036 * * [misc]simplify: iters left: 1 (33 enodes) 1550698355.060 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.060 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698355.060 * * [misc]simplify: Extracting #2: cost 8 inf + 2 1550698355.060 * * [misc]simplify: Extracting #3: cost 5 inf + 47 1550698355.060 * * [misc]simplify: Extracting #4: cost 2 inf + 416 1550698355.061 * * [misc]simplify: Extracting #5: cost 0 inf + 743 1550698355.061 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1550698355.061 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma k -1/2 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1550698355.061 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1550698355.062 * * [misc]simplify: iters left: 4 (8 enodes) 1550698355.069 * * [misc]simplify: iters left: 3 (26 enodes) 1550698355.085 * * [misc]simplify: iters left: 2 (30 enodes) 1550698355.094 * * [misc]simplify: iters left: 1 (31 enodes) 1550698355.125 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.125 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698355.125 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698355.125 * * [misc]simplify: Extracting #3: cost 10 inf + 43 1550698355.125 * * [misc]simplify: Extracting #4: cost 8 inf + 86 1550698355.126 * * [misc]simplify: Extracting #5: cost 2 inf + 904 1550698355.126 * * [misc]simplify: Extracting #6: cost 0 inf + 1522 1550698355.126 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1550698355.126 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (fma -1/2 k 1/2)) 1) (/ (pow n (fma k -1/2 1/2)) (sqrt k))))) 1550698355.127 * * * * [misc]progress: [ 94 / 126 ] simplifiying candidate # 1550698355.138 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698355.139 * * [misc]simplify: iters left: 6 (14 enodes) 1550698355.174 * * [misc]simplify: iters left: 5 (51 enodes) 1550698355.219 * * [misc]simplify: iters left: 4 (70 enodes) 1550698355.235 * * [misc]simplify: iters left: 3 (78 enodes) 1550698355.257 * * [misc]simplify: iters left: 2 (81 enodes) 1550698355.279 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.279 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698355.279 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1550698355.279 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1550698355.280 * * [misc]simplify: Extracting #4: cost 33 inf + 1 1550698355.280 * * [misc]simplify: Extracting #5: cost 25 inf + 530 1550698355.281 * * [misc]simplify: Extracting #6: cost 9 inf + 5365 1550698355.283 * * [misc]simplify: Extracting #7: cost 1 inf + 9565 1550698355.286 * * [misc]simplify: Extracting #8: cost 0 inf + 10115 1550698355.288 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k)))) 1550698355.288 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k)))))) 1550698355.288 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698355.289 * * [misc]simplify: iters left: 6 (12 enodes) 1550698355.295 * * [misc]simplify: iters left: 5 (39 enodes) 1550698355.310 * * [misc]simplify: iters left: 4 (43 enodes) 1550698355.323 * * [misc]simplify: iters left: 3 (44 enodes) 1550698355.335 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.336 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698355.336 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698355.336 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698355.336 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1550698355.336 * * [misc]simplify: Extracting #5: cost 12 inf + 329 1550698355.336 * * [misc]simplify: Extracting #6: cost 4 inf + 1233 1550698355.337 * * [misc]simplify: Extracting #7: cost 1 inf + 2563 1550698355.338 * * [misc]simplify: Extracting #8: cost 0 inf + 3113 1550698355.338 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698355.339 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k)))))) 1550698355.339 * * * * [misc]progress: [ 95 / 126 ] simplifiying candidate # 1550698355.340 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (sqrt (sqrt k))) 1550698355.340 * * [misc]simplify: iters left: 6 (13 enodes) 1550698355.348 * * [misc]simplify: iters left: 5 (44 enodes) 1550698355.361 * * [misc]simplify: iters left: 4 (52 enodes) 1550698355.378 * * [misc]simplify: iters left: 3 (56 enodes) 1550698355.401 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.401 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698355.401 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550698355.401 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1550698355.401 * * [misc]simplify: Extracting #4: cost 22 inf + 204 1550698355.401 * * [misc]simplify: Extracting #5: cost 17 inf + 291 1550698355.402 * * [misc]simplify: Extracting #6: cost 8 inf + 1973 1550698355.403 * * [misc]simplify: Extracting #7: cost 2 inf + 4873 1550698355.404 * * [misc]simplify: Extracting #8: cost 0 inf + 5933 1550698355.405 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (sqrt (sqrt k))) 1550698355.406 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k)))))) 1550698355.406 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698355.406 * * [misc]simplify: iters left: 6 (12 enodes) 1550698355.414 * * [misc]simplify: iters left: 5 (39 enodes) 1550698355.433 * * [misc]simplify: iters left: 4 (43 enodes) 1550698355.448 * * [misc]simplify: iters left: 3 (44 enodes) 1550698355.462 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.462 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698355.462 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698355.462 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698355.462 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1550698355.462 * * [misc]simplify: Extracting #5: cost 12 inf + 249 1550698355.463 * * [misc]simplify: Extracting #6: cost 4 inf + 1153 1550698355.463 * * [misc]simplify: Extracting #7: cost 1 inf + 2443 1550698355.464 * * [misc]simplify: Extracting #8: cost 0 inf + 2953 1550698355.465 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698355.465 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k)))))) 1550698355.465 * * * * [misc]progress: [ 96 / 126 ] simplifiying candidate # 1550698355.468 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) 1) 1550698355.468 * * [misc]simplify: iters left: 6 (12 enodes) 1550698355.477 * * [misc]simplify: iters left: 5 (41 enodes) 1550698355.501 * * [misc]simplify: iters left: 4 (55 enodes) 1550698355.594 * * [misc]simplify: iters left: 3 (57 enodes) 1550698355.606 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.606 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698355.606 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550698355.606 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698355.607 * * [misc]simplify: Extracting #4: cost 18 inf + 1 1550698355.607 * * [misc]simplify: Extracting #5: cost 14 inf + 6 1550698355.607 * * [misc]simplify: Extracting #6: cost 6 inf + 910 1550698355.608 * * [misc]simplify: Extracting #7: cost 2 inf + 2551 1550698355.609 * * [misc]simplify: Extracting #8: cost 0 inf + 3412 1550698355.610 * [exit]simplify: Simplified to (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) 1550698355.610 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k))))) 1550698355.610 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)) 1550698355.610 * * [misc]simplify: iters left: 6 (11 enodes) 1550698355.616 * * [misc]simplify: iters left: 5 (36 enodes) 1550698355.627 * * [misc]simplify: iters left: 4 (40 enodes) 1550698355.639 * * [misc]simplify: iters left: 3 (41 enodes) 1550698355.650 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.650 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698355.650 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698355.651 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550698355.651 * * [misc]simplify: Extracting #4: cost 15 inf + 83 1550698355.651 * * [misc]simplify: Extracting #5: cost 11 inf + 129 1550698355.651 * * [misc]simplify: Extracting #6: cost 5 inf + 681 1550698355.652 * * [misc]simplify: Extracting #7: cost 0 inf + 2711 1550698355.652 * [exit]simplify: Simplified to (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)) 1550698355.652 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (/ (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k))))) 1550698355.652 * * * * [misc]progress: [ 97 / 126 ] simplifiying candidate # 1550698355.653 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698355.653 * * [misc]simplify: iters left: 6 (13 enodes) 1550698355.659 * * [misc]simplify: iters left: 5 (44 enodes) 1550698355.673 * * [misc]simplify: iters left: 4 (50 enodes) 1550698355.687 * * [misc]simplify: iters left: 3 (51 enodes) 1550698355.702 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.702 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698355.702 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550698355.702 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1550698355.702 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1550698355.703 * * [misc]simplify: Extracting #5: cost 13 inf + 693 1550698355.703 * * [misc]simplify: Extracting #6: cost 4 inf + 2455 1550698355.704 * * [misc]simplify: Extracting #7: cost 1 inf + 3865 1550698355.705 * * [misc]simplify: Extracting #8: cost 0 inf + 4375 1550698355.706 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698355.706 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k)))))) 1550698355.706 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698355.706 * * [misc]simplify: iters left: 6 (12 enodes) 1550698355.712 * * [misc]simplify: iters left: 5 (39 enodes) 1550698355.724 * * [misc]simplify: iters left: 4 (43 enodes) 1550698355.739 * * [misc]simplify: iters left: 3 (44 enodes) 1550698355.751 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.752 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698355.752 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698355.752 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698355.752 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1550698355.752 * * [misc]simplify: Extracting #5: cost 12 inf + 329 1550698355.752 * * [misc]simplify: Extracting #6: cost 4 inf + 1233 1550698355.753 * * [misc]simplify: Extracting #7: cost 1 inf + 2443 1550698355.753 * * [misc]simplify: Extracting #8: cost 0 inf + 2953 1550698355.754 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698355.754 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (sqrt k)))))) 1550698355.754 * * * * [misc]progress: [ 98 / 126 ] simplifiying candidate # 1550698355.755 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698355.755 * * [misc]simplify: iters left: 6 (12 enodes) 1550698355.761 * * [misc]simplify: iters left: 5 (39 enodes) 1550698355.773 * * [misc]simplify: iters left: 4 (43 enodes) 1550698355.785 * * [misc]simplify: iters left: 3 (44 enodes) 1550698355.797 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.798 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698355.798 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698355.798 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698355.798 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1550698355.798 * * [misc]simplify: Extracting #5: cost 12 inf + 249 1550698355.798 * * [misc]simplify: Extracting #6: cost 4 inf + 1153 1550698355.799 * * [misc]simplify: Extracting #7: cost 1 inf + 2323 1550698355.799 * * [misc]simplify: Extracting #8: cost 0 inf + 2793 1550698355.800 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698355.800 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k)))))) 1550698355.801 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698355.801 * * [misc]simplify: iters left: 6 (12 enodes) 1550698355.807 * * [misc]simplify: iters left: 5 (39 enodes) 1550698355.819 * * [misc]simplify: iters left: 4 (43 enodes) 1550698355.832 * * [misc]simplify: iters left: 3 (44 enodes) 1550698355.847 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.847 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698355.847 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698355.847 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698355.847 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1550698355.847 * * [misc]simplify: Extracting #5: cost 12 inf + 249 1550698355.847 * * [misc]simplify: Extracting #6: cost 4 inf + 1153 1550698355.848 * * [misc]simplify: Extracting #7: cost 1 inf + 2323 1550698355.849 * * [misc]simplify: Extracting #8: cost 0 inf + 2793 1550698355.849 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698355.849 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt (sqrt k)))))) 1550698355.849 * * * * [misc]progress: [ 99 / 126 ] simplifiying candidate # 1550698355.850 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) 1) 1550698355.850 * * [misc]simplify: iters left: 6 (11 enodes) 1550698355.862 * * [misc]simplify: iters left: 5 (36 enodes) 1550698355.885 * * [misc]simplify: iters left: 4 (42 enodes) 1550698355.914 * * [misc]simplify: iters left: 3 (43 enodes) 1550698355.934 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.934 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698355.935 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698355.935 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698355.935 * * [misc]simplify: Extracting #4: cost 9 inf + 48 1550698355.935 * * [misc]simplify: Extracting #5: cost 4 inf + 558 1550698355.935 * * [misc]simplify: Extracting #6: cost 0 inf + 1610 1550698355.936 * [exit]simplify: Simplified to (sqrt (pow (* PI n) (fma -1/2 k 1/2))) 1550698355.936 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k))))) 1550698355.936 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)) 1550698355.936 * * [misc]simplify: iters left: 6 (11 enodes) 1550698355.962 * * [misc]simplify: iters left: 5 (36 enodes) 1550698355.974 * * [misc]simplify: iters left: 4 (40 enodes) 1550698355.986 * * [misc]simplify: iters left: 3 (41 enodes) 1550698355.998 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698355.998 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698355.998 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698355.999 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550698355.999 * * [misc]simplify: Extracting #4: cost 15 inf + 83 1550698355.999 * * [misc]simplify: Extracting #5: cost 11 inf + 129 1550698355.999 * * [misc]simplify: Extracting #6: cost 5 inf + 681 1550698356.000 * * [misc]simplify: Extracting #7: cost 0 inf + 2551 1550698356.000 * [exit]simplify: Simplified to (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k)) 1550698356.000 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k))))) 1550698356.000 * * * * [misc]progress: [ 100 / 126 ] simplifiying candidate # 1550698356.001 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698356.001 * * [misc]simplify: iters left: 6 (6 enodes) 1550698356.004 * * [misc]simplify: iters left: 5 (22 enodes) 1550698356.011 * * [misc]simplify: iters left: 4 (26 enodes) 1550698356.019 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.019 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698356.019 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550698356.020 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550698356.020 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1550698356.020 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1550698356.020 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1550698356.021 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698356.021 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))) 1550698356.021 * [enter]simplify: Simplifying (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698356.021 * * [misc]simplify: iters left: 5 (11 enodes) 1550698356.027 * * [misc]simplify: iters left: 4 (36 enodes) 1550698356.038 * * [misc]simplify: iters left: 3 (40 enodes) 1550698356.050 * * [misc]simplify: iters left: 2 (41 enodes) 1550698356.062 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.062 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698356.062 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698356.062 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698356.062 * * [misc]simplify: Extracting #4: cost 10 inf + 250 1550698356.063 * * [misc]simplify: Extracting #5: cost 3 inf + 923 1550698356.063 * * [misc]simplify: Extracting #6: cost 0 inf + 2173 1550698356.064 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1550698356.064 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (cbrt (sqrt k)))))) 1550698356.064 * * * * [misc]progress: [ 101 / 126 ] simplifiying candidate # 1550698356.064 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1550698356.064 * * [misc]simplify: iters left: 4 (5 enodes) 1550698356.067 * * [misc]simplify: iters left: 3 (17 enodes) 1550698356.073 * * [misc]simplify: iters left: 2 (19 enodes) 1550698356.078 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.078 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698356.078 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698356.078 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550698356.079 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1550698356.079 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550698356.079 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))) 1550698356.079 * [enter]simplify: Simplifying (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698356.079 * * [misc]simplify: iters left: 5 (11 enodes) 1550698356.085 * * [misc]simplify: iters left: 4 (36 enodes) 1550698356.096 * * [misc]simplify: iters left: 3 (40 enodes) 1550698356.108 * * [misc]simplify: iters left: 2 (41 enodes) 1550698356.120 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.120 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698356.120 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698356.120 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698356.121 * * [misc]simplify: Extracting #4: cost 10 inf + 210 1550698356.121 * * [misc]simplify: Extracting #5: cost 3 inf + 843 1550698356.121 * * [misc]simplify: Extracting #6: cost 0 inf + 2013 1550698356.122 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1550698356.122 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k)))))) 1550698356.122 * * * * [misc]progress: [ 102 / 126 ] simplifiying candidate # 1550698356.124 * [enter]simplify: Simplifying (/ 1 1) 1550698356.124 * * [misc]simplify: iters left: 2 (2 enodes) 1550698356.126 * * [misc]simplify: iters left: 1 (6 enodes) 1550698356.128 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.128 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698356.128 * [exit]simplify: Simplified to 1 1550698356.128 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* 1 (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))) 1550698356.129 * [enter]simplify: Simplifying (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)) 1550698356.129 * * [misc]simplify: iters left: 5 (10 enodes) 1550698356.134 * * [misc]simplify: iters left: 4 (33 enodes) 1550698356.144 * * [misc]simplify: iters left: 3 (37 enodes) 1550698356.156 * * [misc]simplify: iters left: 2 (38 enodes) 1550698356.166 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.166 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698356.167 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698356.167 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550698356.167 * * [misc]simplify: Extracting #4: cost 10 inf + 87 1550698356.167 * * [misc]simplify: Extracting #5: cost 0 inf + 1771 1550698356.168 * [exit]simplify: Simplified to (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k)) 1550698356.168 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* 1 (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))) 1550698356.168 * * * * [misc]progress: [ 103 / 126 ] simplifiying candidate # 1550698356.168 * * * * [misc]progress: [ 104 / 126 ] simplifiying candidate # 1550698356.168 * * * * [misc]progress: [ 105 / 126 ] simplifiying candidate # 1550698356.168 * * * * [misc]progress: [ 106 / 126 ] simplifiying candidate # 1550698356.168 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1550698356.168 * * [misc]simplify: iters left: 2 (3 enodes) 1550698356.170 * * [misc]simplify: iters left: 1 (9 enodes) 1550698356.172 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.172 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698356.172 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698356.172 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550698356.172 * * [misc]simplify: Extracting #4: cost 0 inf + 325 1550698356.172 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1550698356.172 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow (* PI n) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1550698356.173 * * * * [misc]progress: [ 107 / 126 ] simplifiying candidate # 1550698356.173 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1550698356.173 * * [misc]simplify: iters left: 2 (3 enodes) 1550698356.174 * * [misc]simplify: iters left: 1 (9 enodes) 1550698356.177 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.177 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698356.177 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698356.177 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1550698356.177 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1550698356.177 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1550698356.177 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1550698356.177 * * * * [misc]progress: [ 108 / 126 ] simplifiying candidate # 1550698356.178 * [enter]simplify: Simplifying (sqrt k) 1550698356.178 * * [misc]simplify: iters left: 1 (2 enodes) 1550698356.178 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.178 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698356.179 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1550698356.179 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1550698356.179 * [exit]simplify: Simplified to (sqrt k) 1550698356.179 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow (* PI n) (fma -1/2 k 1/2)) 1) (sqrt k)))) 1550698356.179 * * * * [misc]progress: [ 109 / 126 ] simplifiying candidate # 1550698356.179 * [enter]simplify: Simplifying (pow (* PI n) (* -1/2 k)) 1550698356.179 * * [misc]simplify: iters left: 3 (7 enodes) 1550698356.187 * * [misc]simplify: iters left: 2 (23 enodes) 1550698356.197 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.197 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698356.197 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550698356.197 * * [misc]simplify: Extracting #3: cost 6 inf + 4 1550698356.197 * * [misc]simplify: Extracting #4: cost 1 inf + 466 1550698356.197 * * [misc]simplify: Extracting #5: cost 0 inf + 760 1550698356.198 * [exit]simplify: Simplified to (pow (* PI n) (* -1/2 k)) 1550698356.198 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* PI n) (* -1/2 k)) (/ (sqrt k) (pow (* PI n) 1/2))))) 1550698356.198 * * * * [misc]progress: [ 110 / 126 ] simplifiying candidate # 1550698356.198 * [enter]simplify: Simplifying (pow PI (fma -1/2 k 1/2)) 1550698356.198 * * [misc]simplify: iters left: 2 (6 enodes) 1550698356.202 * * [misc]simplify: iters left: 1 (20 enodes) 1550698356.209 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.209 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698356.209 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698356.209 * * [misc]simplify: Extracting #3: cost 6 inf + 4 1550698356.209 * * [misc]simplify: Extracting #4: cost 1 inf + 473 1550698356.210 * * [misc]simplify: Extracting #5: cost 0 inf + 742 1550698356.210 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1550698356.210 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698356.210 * * * * [misc]progress: [ 111 / 126 ] simplifiying candidate # 1550698356.210 * [enter]simplify: Simplifying (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) 1550698356.211 * * [misc]simplify: iters left: 6 (10 enodes) 1550698356.216 * * [misc]simplify: iters left: 5 (33 enodes) 1550698356.235 * * [misc]simplify: iters left: 4 (37 enodes) 1550698356.249 * * [misc]simplify: iters left: 3 (38 enodes) 1550698356.260 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.260 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698356.260 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698356.260 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550698356.260 * * [misc]simplify: Extracting #4: cost 16 inf + 0 1550698356.260 * * [misc]simplify: Extracting #5: cost 12 inf + 5 1550698356.260 * * [misc]simplify: Extracting #6: cost 4 inf + 909 1550698356.261 * * [misc]simplify: Extracting #7: cost 0 inf + 2549 1550698356.261 * [exit]simplify: Simplified to (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) 1550698356.261 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow (* PI n) (fma -1/2 k 1/2))) (cbrt (pow (* PI n) (fma -1/2 k 1/2)))) (/ (sqrt k) (cbrt (pow (* PI n) (fma -1/2 k 1/2))))))) 1550698356.262 * * * * [misc]progress: [ 112 / 126 ] simplifiying candidate # 1550698356.262 * [enter]simplify: Simplifying (sqrt (pow (* PI n) (fma -1/2 k 1/2))) 1550698356.262 * * [misc]simplify: iters left: 4 (9 enodes) 1550698356.269 * * [misc]simplify: iters left: 3 (30 enodes) 1550698356.279 * * [misc]simplify: iters left: 2 (34 enodes) 1550698356.289 * * [misc]simplify: iters left: 1 (35 enodes) 1550698356.299 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698356.299 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698356.299 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698356.300 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698356.300 * * [misc]simplify: Extracting #4: cost 9 inf + 47 1550698356.300 * * [misc]simplify: Extracting #5: cost 4 inf + 541 1550698356.300 * * [misc]simplify: Extracting #6: cost 0 inf + 1609 1550698356.301 * [exit]simplify: Simplified to (sqrt (pow (* PI n) (fma -1/2 k 1/2))) 1550698356.301 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow (* PI n) (fma -1/2 k 1/2))) (/ (sqrt k) (sqrt (pow (* PI n) (fma -1/2 k 1/2))))))) 1550698356.301 * * * * [misc]progress: [ 113 / 126 ] simplifiying candidate # 1550698356.301 * * * * [misc]progress: [ 114 / 126 ] simplifiying candidate #real (real->posit16 (/ (pow (* PI n) (fma -1/2 k 1/2)) (sqrt k))))))> 1550698356.301 * * * * [misc]progress: [ 115 / 126 ] simplifiying candidate # 1550698356.302 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (+ (* 1/4 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (exp (* 1/2 (+ (log PI) (log n))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) k))))) 1550698356.303 * * [misc]simplify: iters left: 6 (36 enodes) 1550698356.369 * * [misc]simplify: iters left: 5 (176 enodes) 1550698356.490 * * [misc]simplify: iters left: 4 (444 enodes) 1550698357.096 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698357.096 * * [misc]simplify: Extracting #1: cost 70 inf + 0 1550698357.098 * * [misc]simplify: Extracting #2: cost 280 inf + 3 1550698357.103 * * [misc]simplify: Extracting #3: cost 377 inf + 283 1550698357.121 * * [misc]simplify: Extracting #4: cost 217 inf + 50140 1550698357.191 * * [misc]simplify: Extracting #5: cost 33 inf + 138972 1550698357.275 * * [misc]simplify: Extracting #6: cost 0 inf + 159151 1550698357.461 * * [misc]simplify: Extracting #7: cost 0 inf + 156267 1550698357.582 * * [misc]simplify: Extracting #8: cost 0 inf + 155824 1550698357.733 * [exit]simplify: Simplified to (fma -1/2 (* k (* (exp (* (+ (log PI) (log n)) 1/2)) (+ (log PI) (log n)))) (+ (fma (* (* (* k k) (exp (* (+ (log PI) (log n)) 1/2))) (* (log n) (log n))) 1/8 (exp (* (+ (log PI) (log n)) 1/2))) (fma 1/8 (* (* (log PI) (log PI)) (* (* k k) (exp (* (+ (log PI) (log n)) 1/2)))) (* 1/4 (* (* (* (* k k) (exp (* (+ (log PI) (log n)) 1/2))) (log n)) (log PI)))))) 1550698357.733 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (fma -1/2 (* k (* (exp (* (+ (log PI) (log n)) 1/2)) (+ (log PI) (log n)))) (+ (fma (* (* (* k k) (exp (* (+ (log PI) (log n)) 1/2))) (* (log n) (log n))) 1/8 (exp (* (+ (log PI) (log n)) 1/2))) (fma 1/8 (* (* (log PI) (log PI)) (* (* k k) (exp (* (+ (log PI) (log n)) 1/2)))) (* 1/4 (* (* (* (* k k) (exp (* (+ (log PI) (log n)) 1/2))) (log n)) (log PI)))))) (sqrt k)))) 1550698357.735 * * * * [misc]progress: [ 116 / 126 ] simplifiying candidate # 1550698357.735 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) 1550698357.735 * * [misc]simplify: iters left: 6 (13 enodes) 1550698357.762 * * [misc]simplify: iters left: 5 (53 enodes) 1550698357.824 * * [misc]simplify: iters left: 4 (89 enodes) 1550698357.864 * * [misc]simplify: iters left: 3 (200 enodes) 1550698357.972 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698357.972 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698357.973 * * [misc]simplify: Extracting #2: cost 83 inf + 0 1550698357.974 * * [misc]simplify: Extracting #3: cost 130 inf + 189 1550698357.976 * * [misc]simplify: Extracting #4: cost 88 inf + 4851 1550698357.983 * * [misc]simplify: Extracting #5: cost 15 inf + 20807 1550698357.990 * * [misc]simplify: Extracting #6: cost 0 inf + 25146 1550698358.000 * [exit]simplify: Simplified to (pow (* n PI) (fma k -1/2 1/2)) 1550698358.000 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* n PI) (fma k -1/2 1/2)) (sqrt k)))) 1550698358.000 * * * * [misc]progress: [ 117 / 126 ] simplifiying candidate # 1550698358.000 * [enter]simplify: Simplifying (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) 1550698358.000 * * [misc]simplify: iters left: 6 (14 enodes) 1550698358.009 * * [misc]simplify: iters left: 5 (57 enodes) 1550698358.029 * * [misc]simplify: iters left: 4 (106 enodes) 1550698358.073 * * [misc]simplify: iters left: 3 (290 enodes) 1550698358.668 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698358.668 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550698358.668 * * [misc]simplify: Extracting #2: cost 143 inf + 0 1550698358.670 * * [misc]simplify: Extracting #3: cost 305 inf + 7 1550698358.674 * * [misc]simplify: Extracting #4: cost 234 inf + 11385 1550698358.690 * * [misc]simplify: Extracting #5: cost 57 inf + 49659 1550698358.717 * * [misc]simplify: Extracting #6: cost 0 inf + 67408 1550698358.798 * * [misc]simplify: Extracting #7: cost 0 inf + 66165 1550698358.834 * [exit]simplify: Simplified to (pow (* (* PI 1) n) (fma k -1/2 1/2)) 1550698358.836 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* (* PI 1) n) (fma k -1/2 1/2)) (sqrt k)))) 1550698358.837 * * * * [misc]progress: [ 118 / 126 ] simplifiying candidate # 1550698358.840 * [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))))))))))))))) 1550698358.840 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698358.840 * * * * [misc]progress: [ 119 / 126 ] simplifiying candidate # 1550698358.845 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1550698358.845 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698358.845 * * * * [misc]progress: [ 120 / 126 ] simplifiying candidate # 1550698358.845 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (* (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))))))) 1550698358.845 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698358.845 * * * * [misc]progress: [ 121 / 126 ] simplifiying candidate # 1550698358.846 * [enter]simplify: Simplifying (* n PI) 1550698358.858 * * [misc]simplify: iters left: 2 (3 enodes) 1550698358.860 * * [misc]simplify: iters left: 1 (10 enodes) 1550698358.863 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698358.863 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698358.863 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550698358.863 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550698358.863 * [exit]simplify: Simplified to (* n PI) 1550698358.863 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* n PI) (fma -1/2 k 1/2)) (sqrt k)))) 1550698358.863 * * * * [misc]progress: [ 122 / 126 ] simplifiying candidate # 1550698358.864 * [enter]simplify: Simplifying (* n PI) 1550698358.864 * * [misc]simplify: iters left: 2 (3 enodes) 1550698358.865 * * [misc]simplify: iters left: 1 (10 enodes) 1550698358.868 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698358.868 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698358.868 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550698358.868 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550698358.868 * [exit]simplify: Simplified to (* n PI) 1550698358.868 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* n PI) (fma -1/2 k 1/2)) (sqrt k)))) 1550698358.869 * * * * [misc]progress: [ 123 / 126 ] simplifiying candidate # 1550698358.869 * [enter]simplify: Simplifying (* n PI) 1550698358.869 * * [misc]simplify: iters left: 2 (3 enodes) 1550698358.870 * * [misc]simplify: iters left: 1 (10 enodes) 1550698358.873 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698358.873 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698358.873 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550698358.873 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1550698358.873 * [exit]simplify: Simplified to (* n PI) 1550698358.873 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (* n PI) (fma -1/2 k 1/2)) (sqrt k)))) 1550698358.874 * * * * [misc]progress: [ 124 / 126 ] simplifiying candidate # 1550698358.883 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log PI) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log n) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log PI) (log n)))) (* (log PI) (pow k 2))))))))))))))))))))))) 1550698358.883 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) +nan.0)) 1550698358.888 * * * * [misc]progress: [ 125 / 126 ] simplifiying candidate # 1550698358.888 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log PI) (log (/ 1 n))))) (pow k 3)))))))) 1550698358.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) +nan.0)) 1550698358.889 * * * * [misc]progress: [ 126 / 126 ] simplifiying candidate # 1550698358.889 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (exp (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))))))))) 1550698358.890 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) +nan.0)) 1550698358.912 * * * [misc]progress: adding candidates to table 1550698363.494 * * [misc]progress: iteration 4 / 4 1550698363.494 * * * [misc]progress: picking best candidate 1550698363.534 * * * * [misc]pick: Picked # 1550698363.534 * * * [misc]progress: localizing error 1550698363.570 * * * [misc]progress: generating rewritten candidates 1550698363.570 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) 1550698363.572 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) 1550698363.574 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1550698363.628 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1550698363.653 * * * [misc]progress: generating series expansions 1550698363.653 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) 1550698363.653 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1550698363.653 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1550698363.653 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1550698363.653 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1550698363.653 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1550698363.653 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698363.653 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.653 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698363.653 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.653 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.653 * [misc]taylor: Taking taylor expansion of k in k 1550698363.653 * [misc]backup-simplify: Simplify 0 into 0 1550698363.653 * [misc]backup-simplify: Simplify 1 into 1 1550698363.653 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.654 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698363.654 * [misc]taylor: Taking taylor expansion of n in k 1550698363.654 * [misc]backup-simplify: Simplify n into n 1550698363.654 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698363.654 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698363.654 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698363.654 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550698363.654 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550698363.654 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1550698363.655 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1550698363.655 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1550698363.655 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698363.655 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.655 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698363.655 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698363.655 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.655 * [misc]taylor: Taking taylor expansion of k in n 1550698363.655 * [misc]backup-simplify: Simplify k into k 1550698363.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698363.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.655 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698363.655 * [misc]taylor: Taking taylor expansion of n in n 1550698363.655 * [misc]backup-simplify: Simplify 0 into 0 1550698363.655 * [misc]backup-simplify: Simplify 1 into 1 1550698363.655 * [misc]backup-simplify: Simplify (log 1) into 0 1550698363.655 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698363.655 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698363.656 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698363.656 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1550698363.656 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1550698363.656 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1550698363.656 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1550698363.656 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1550698363.656 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698363.656 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.656 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698363.656 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698363.656 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.656 * [misc]taylor: Taking taylor expansion of k in n 1550698363.656 * [misc]backup-simplify: Simplify k into k 1550698363.656 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698363.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.656 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698363.656 * [misc]taylor: Taking taylor expansion of n in n 1550698363.656 * [misc]backup-simplify: Simplify 0 into 0 1550698363.656 * [misc]backup-simplify: Simplify 1 into 1 1550698363.657 * [misc]backup-simplify: Simplify (log 1) into 0 1550698363.657 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698363.657 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698363.657 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698363.657 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1550698363.657 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1550698363.657 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1550698363.657 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1550698363.657 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1550698363.658 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1550698363.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.658 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1550698363.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.658 * [misc]taylor: Taking taylor expansion of k in k 1550698363.658 * [misc]backup-simplify: Simplify 0 into 0 1550698363.658 * [misc]backup-simplify: Simplify 1 into 1 1550698363.658 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698363.658 * [misc]taylor: Taking taylor expansion of n in k 1550698363.658 * [misc]backup-simplify: Simplify n into n 1550698363.658 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698363.658 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1550698363.658 * [misc]backup-simplify: Simplify (- 0) into 0 1550698363.658 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698363.659 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550698363.659 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550698363.659 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1550698363.661 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550698363.662 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1550698363.662 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.662 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698363.662 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1550698363.663 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698363.663 * [misc]taylor: Taking taylor expansion of 0 in k 1550698363.663 * [misc]backup-simplify: Simplify 0 into 0 1550698363.663 * [misc]backup-simplify: Simplify 0 into 0 1550698363.664 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550698363.665 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1550698363.665 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698363.665 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698363.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1550698363.665 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1550698363.665 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1550698363.670 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1550698363.670 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1550698363.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.670 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698363.671 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1550698363.673 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550698363.673 * [misc]taylor: Taking taylor expansion of 0 in k 1550698363.673 * [misc]backup-simplify: Simplify 0 into 0 1550698363.673 * [misc]backup-simplify: Simplify 0 into 0 1550698363.673 * [misc]backup-simplify: Simplify 0 into 0 1550698363.674 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550698363.675 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698363.675 * [misc]backup-simplify: Simplify (- 0) into 0 1550698363.675 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.675 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1550698363.676 * [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))) 1550698363.677 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1550698363.677 * [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)))) 1550698363.677 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1550698363.677 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1550698363.677 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1550698363.678 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1550698363.678 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1550698363.678 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698363.678 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698363.678 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698363.678 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.678 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.678 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698363.678 * [misc]taylor: Taking taylor expansion of k in k 1550698363.678 * [misc]backup-simplify: Simplify 0 into 0 1550698363.678 * [misc]backup-simplify: Simplify 1 into 1 1550698363.678 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698363.678 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.678 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550698363.678 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550698363.678 * [misc]taylor: Taking taylor expansion of n in k 1550698363.678 * [misc]backup-simplify: Simplify n into n 1550698363.678 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550698363.678 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550698363.679 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698363.679 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698363.679 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550698363.679 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1550698363.679 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698363.679 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698363.679 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698363.679 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698363.679 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698363.679 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698363.679 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698363.679 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.679 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698363.679 * [misc]taylor: Taking taylor expansion of k in n 1550698363.679 * [misc]backup-simplify: Simplify k into k 1550698363.679 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698363.679 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698363.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.679 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698363.679 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698363.679 * [misc]taylor: Taking taylor expansion of n in n 1550698363.680 * [misc]backup-simplify: Simplify 0 into 0 1550698363.680 * [misc]backup-simplify: Simplify 1 into 1 1550698363.680 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698363.680 * [misc]backup-simplify: Simplify (log 1) into 0 1550698363.680 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698363.680 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698363.680 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698363.680 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698363.681 * [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)))) 1550698363.681 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698363.681 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698363.681 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698363.681 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698363.681 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698363.681 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698363.681 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698363.681 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.681 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698363.681 * [misc]taylor: Taking taylor expansion of k in n 1550698363.681 * [misc]backup-simplify: Simplify k into k 1550698363.681 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698363.681 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698363.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.681 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698363.681 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698363.681 * [misc]taylor: Taking taylor expansion of n in n 1550698363.681 * [misc]backup-simplify: Simplify 0 into 0 1550698363.681 * [misc]backup-simplify: Simplify 1 into 1 1550698363.682 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698363.682 * [misc]backup-simplify: Simplify (log 1) into 0 1550698363.682 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698363.682 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698363.682 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698363.682 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698363.682 * [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)))) 1550698363.683 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1550698363.683 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1550698363.683 * [misc]taylor: Taking taylor expansion of -1 in k 1550698363.683 * [misc]backup-simplify: Simplify -1 into -1 1550698363.683 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1550698363.683 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1550698363.683 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.683 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698363.683 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.683 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698363.683 * [misc]taylor: Taking taylor expansion of k in k 1550698363.683 * [misc]backup-simplify: Simplify 0 into 0 1550698363.683 * [misc]backup-simplify: Simplify 1 into 1 1550698363.683 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698363.683 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698363.683 * [misc]taylor: Taking taylor expansion of n in k 1550698363.683 * [misc]backup-simplify: Simplify n into n 1550698363.683 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698363.684 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698363.684 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1550698363.684 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1550698363.684 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1550698363.684 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1550698363.684 * [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)))) 1550698363.684 * [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)))) 1550698363.685 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550698363.687 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550698363.688 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698363.688 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698363.688 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.688 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698363.688 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1550698363.690 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698363.690 * [misc]taylor: Taking taylor expansion of 0 in k 1550698363.690 * [misc]backup-simplify: Simplify 0 into 0 1550698363.690 * [misc]backup-simplify: Simplify 0 into 0 1550698363.690 * [misc]backup-simplify: Simplify 0 into 0 1550698363.690 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698363.694 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1550698363.694 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698363.695 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1550698363.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.695 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698363.696 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1550698363.697 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1550698363.698 * [misc]taylor: Taking taylor expansion of 0 in k 1550698363.698 * [misc]backup-simplify: Simplify 0 into 0 1550698363.698 * [misc]backup-simplify: Simplify 0 into 0 1550698363.698 * [misc]backup-simplify: Simplify 0 into 0 1550698363.698 * [misc]backup-simplify: Simplify 0 into 0 1550698363.698 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698363.705 * [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 1550698363.705 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698363.705 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1550698363.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.706 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698363.706 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1550698363.709 * [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 1550698363.709 * [misc]taylor: Taking taylor expansion of 0 in k 1550698363.709 * [misc]backup-simplify: Simplify 0 into 0 1550698363.710 * [misc]backup-simplify: Simplify 0 into 0 1550698363.710 * [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))))) 1550698363.710 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1550698363.710 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1550698363.710 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1550698363.710 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1550698363.710 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1550698363.710 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698363.710 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698363.710 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698363.710 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.710 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.710 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698363.710 * [misc]taylor: Taking taylor expansion of -1 in k 1550698363.710 * [misc]backup-simplify: Simplify -1 into -1 1550698363.710 * [misc]taylor: Taking taylor expansion of k in k 1550698363.710 * [misc]backup-simplify: Simplify 0 into 0 1550698363.710 * [misc]backup-simplify: Simplify 1 into 1 1550698363.711 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698363.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.711 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550698363.711 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550698363.711 * [misc]taylor: Taking taylor expansion of -1 in k 1550698363.711 * [misc]backup-simplify: Simplify -1 into -1 1550698363.711 * [misc]taylor: Taking taylor expansion of n in k 1550698363.711 * [misc]backup-simplify: Simplify n into n 1550698363.711 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550698363.711 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550698363.711 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698363.711 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698363.711 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550698363.712 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1550698363.712 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1550698363.712 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1550698363.712 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1550698363.712 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698363.712 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698363.712 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698363.712 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698363.712 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.712 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698363.712 * [misc]taylor: Taking taylor expansion of -1 in n 1550698363.712 * [misc]backup-simplify: Simplify -1 into -1 1550698363.712 * [misc]taylor: Taking taylor expansion of k in n 1550698363.712 * [misc]backup-simplify: Simplify k into k 1550698363.712 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698363.712 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698363.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.712 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698363.712 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698363.712 * [misc]taylor: Taking taylor expansion of -1 in n 1550698363.712 * [misc]backup-simplify: Simplify -1 into -1 1550698363.712 * [misc]taylor: Taking taylor expansion of n in n 1550698363.712 * [misc]backup-simplify: Simplify 0 into 0 1550698363.712 * [misc]backup-simplify: Simplify 1 into 1 1550698363.713 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698363.713 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698363.713 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698363.713 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698363.713 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698363.714 * [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))) 1550698363.714 * [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)))) 1550698363.714 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1550698363.714 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1550698363.714 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1550698363.714 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698363.714 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698363.714 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698363.714 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698363.714 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.714 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698363.714 * [misc]taylor: Taking taylor expansion of -1 in n 1550698363.714 * [misc]backup-simplify: Simplify -1 into -1 1550698363.714 * [misc]taylor: Taking taylor expansion of k in n 1550698363.714 * [misc]backup-simplify: Simplify k into k 1550698363.714 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698363.714 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698363.714 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.714 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698363.714 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698363.715 * [misc]taylor: Taking taylor expansion of -1 in n 1550698363.715 * [misc]backup-simplify: Simplify -1 into -1 1550698363.715 * [misc]taylor: Taking taylor expansion of n in n 1550698363.715 * [misc]backup-simplify: Simplify 0 into 0 1550698363.715 * [misc]backup-simplify: Simplify 1 into 1 1550698363.715 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698363.715 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698363.715 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698363.715 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698363.715 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698363.716 * [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))) 1550698363.716 * [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)))) 1550698363.716 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1550698363.716 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1550698363.716 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1550698363.716 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1550698363.716 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698363.716 * [misc]taylor: Taking taylor expansion of k in k 1550698363.716 * [misc]backup-simplify: Simplify 0 into 0 1550698363.717 * [misc]backup-simplify: Simplify 1 into 1 1550698363.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698363.717 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.717 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1550698363.717 * [misc]taylor: Taking taylor expansion of (log -1) in k 1550698363.717 * [misc]taylor: Taking taylor expansion of -1 in k 1550698363.717 * [misc]backup-simplify: Simplify -1 into -1 1550698363.717 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698363.717 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698363.717 * [misc]taylor: Taking taylor expansion of n in k 1550698363.717 * [misc]backup-simplify: Simplify n into n 1550698363.717 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698363.717 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1550698363.717 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698363.718 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1550698363.718 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1550698363.718 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1550698363.718 * [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)))) 1550698363.719 * [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)))) 1550698363.719 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550698363.722 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1550698363.722 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698363.722 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698363.722 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.722 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698363.723 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1550698363.724 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698363.724 * [misc]taylor: Taking taylor expansion of 0 in k 1550698363.724 * [misc]backup-simplify: Simplify 0 into 0 1550698363.724 * [misc]backup-simplify: Simplify 0 into 0 1550698363.724 * [misc]backup-simplify: Simplify 0 into 0 1550698363.725 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698363.729 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1550698363.729 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698363.730 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1550698363.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.730 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698363.731 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1550698363.733 * [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 1550698363.733 * [misc]taylor: Taking taylor expansion of 0 in k 1550698363.733 * [misc]backup-simplify: Simplify 0 into 0 1550698363.733 * [misc]backup-simplify: Simplify 0 into 0 1550698363.733 * [misc]backup-simplify: Simplify 0 into 0 1550698363.733 * [misc]backup-simplify: Simplify 0 into 0 1550698363.733 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698363.741 * [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 1550698363.741 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1550698363.741 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1550698363.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.742 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698363.742 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1550698363.746 * [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 1550698363.746 * [misc]taylor: Taking taylor expansion of 0 in k 1550698363.746 * [misc]backup-simplify: Simplify 0 into 0 1550698363.746 * [misc]backup-simplify: Simplify 0 into 0 1550698363.746 * [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))))) 1550698363.746 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) 1550698363.746 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 k 1/2)) into (pow PI (fma -1/2 k 1/2)) 1550698363.746 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in (k) around 0 1550698363.746 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1550698363.746 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1550698363.747 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1550698363.747 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698363.747 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.747 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698363.747 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.747 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.747 * [misc]taylor: Taking taylor expansion of k in k 1550698363.747 * [misc]backup-simplify: Simplify 0 into 0 1550698363.747 * [misc]backup-simplify: Simplify 1 into 1 1550698363.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.747 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698363.747 * [misc]taylor: Taking taylor expansion of PI in k 1550698363.747 * [misc]backup-simplify: Simplify PI into PI 1550698363.747 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.747 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698363.748 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698363.748 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698363.749 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550698363.749 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1550698363.749 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1550698363.749 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1550698363.749 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698363.749 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.749 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698363.749 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.749 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.749 * [misc]taylor: Taking taylor expansion of k in k 1550698363.749 * [misc]backup-simplify: Simplify 0 into 0 1550698363.749 * [misc]backup-simplify: Simplify 1 into 1 1550698363.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.749 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698363.749 * [misc]taylor: Taking taylor expansion of PI in k 1550698363.749 * [misc]backup-simplify: Simplify PI into PI 1550698363.750 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.750 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698363.750 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698363.750 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698363.751 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550698363.751 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1550698363.754 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698363.754 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1550698363.754 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698363.755 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1550698363.758 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1550698363.765 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1550698363.769 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550698363.769 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698363.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.771 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1550698363.775 * [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))) 1550698363.777 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1550698363.779 * [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)))) 1550698363.780 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1550698363.780 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1550698363.780 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1550698363.780 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1550698363.780 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1550698363.780 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698363.780 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698363.780 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698363.780 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.780 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.780 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698363.780 * [misc]taylor: Taking taylor expansion of k in k 1550698363.780 * [misc]backup-simplify: Simplify 0 into 0 1550698363.780 * [misc]backup-simplify: Simplify 1 into 1 1550698363.780 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698363.780 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.780 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698363.780 * [misc]taylor: Taking taylor expansion of PI in k 1550698363.780 * [misc]backup-simplify: Simplify PI into PI 1550698363.781 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.781 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698363.781 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698363.782 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550698363.782 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1550698363.782 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1550698363.782 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1550698363.782 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1550698363.782 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698363.782 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698363.782 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698363.782 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.782 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.782 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698363.782 * [misc]taylor: Taking taylor expansion of k in k 1550698363.782 * [misc]backup-simplify: Simplify 0 into 0 1550698363.782 * [misc]backup-simplify: Simplify 1 into 1 1550698363.782 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698363.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.783 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698363.783 * [misc]taylor: Taking taylor expansion of PI in k 1550698363.783 * [misc]backup-simplify: Simplify PI into PI 1550698363.783 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.783 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698363.783 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698363.784 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550698363.784 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1550698363.784 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1550698363.784 * [misc]backup-simplify: Simplify 0 into 0 1550698363.784 * [misc]backup-simplify: Simplify 0 into 0 1550698363.784 * [misc]backup-simplify: Simplify 0 into 0 1550698363.784 * [misc]backup-simplify: Simplify 0 into 0 1550698363.784 * [misc]backup-simplify: Simplify 0 into 0 1550698363.784 * [misc]backup-simplify: Simplify 0 into 0 1550698363.784 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow PI (fma -1/2 k 1/2)) 1550698363.785 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) into (pow PI (fma -1/2 (/ -1 k) 1/2)) 1550698363.785 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1550698363.785 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1550698363.785 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1550698363.785 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1550698363.785 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698363.785 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698363.785 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698363.785 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.785 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.785 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698363.785 * [misc]taylor: Taking taylor expansion of -1 in k 1550698363.785 * [misc]backup-simplify: Simplify -1 into -1 1550698363.785 * [misc]taylor: Taking taylor expansion of k in k 1550698363.785 * [misc]backup-simplify: Simplify 0 into 0 1550698363.785 * [misc]backup-simplify: Simplify 1 into 1 1550698363.785 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698363.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.785 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698363.785 * [misc]taylor: Taking taylor expansion of PI in k 1550698363.785 * [misc]backup-simplify: Simplify PI into PI 1550698363.786 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.786 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698363.786 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698363.787 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698363.787 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1550698363.787 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1550698363.787 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1550698363.787 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1550698363.787 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698363.787 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698363.787 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698363.787 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.787 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.787 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698363.787 * [misc]taylor: Taking taylor expansion of -1 in k 1550698363.787 * [misc]backup-simplify: Simplify -1 into -1 1550698363.787 * [misc]taylor: Taking taylor expansion of k in k 1550698363.787 * [misc]backup-simplify: Simplify 0 into 0 1550698363.788 * [misc]backup-simplify: Simplify 1 into 1 1550698363.788 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698363.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.788 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698363.788 * [misc]taylor: Taking taylor expansion of PI in k 1550698363.788 * [misc]backup-simplify: Simplify PI into PI 1550698363.788 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.788 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698363.788 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698363.789 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698363.789 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1550698363.790 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1550698363.790 * [misc]backup-simplify: Simplify 0 into 0 1550698363.790 * [misc]backup-simplify: Simplify 0 into 0 1550698363.790 * [misc]backup-simplify: Simplify 0 into 0 1550698363.790 * [misc]backup-simplify: Simplify 0 into 0 1550698363.790 * [misc]backup-simplify: Simplify 0 into 0 1550698363.790 * [misc]backup-simplify: Simplify 0 into 0 1550698363.790 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2))) into (exp (* (log PI) (fma -1/2 k 1/2))) 1550698363.790 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1550698363.791 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) into (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) 1550698363.791 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in (k n) around 0 1550698363.791 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in n 1550698363.791 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in n 1550698363.791 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in n 1550698363.791 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in n 1550698363.791 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in n 1550698363.791 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698363.791 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.791 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698363.791 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698363.791 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.791 * [misc]taylor: Taking taylor expansion of k in n 1550698363.791 * [misc]backup-simplify: Simplify k into k 1550698363.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698363.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.791 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698363.791 * [misc]taylor: Taking taylor expansion of PI in n 1550698363.791 * [misc]backup-simplify: Simplify PI into PI 1550698363.792 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.792 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698363.792 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698363.792 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1550698363.792 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1550698363.792 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in n 1550698363.792 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1550698363.792 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1550698363.793 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1550698363.793 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698363.793 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.793 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698363.793 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698363.793 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.793 * [misc]taylor: Taking taylor expansion of k in n 1550698363.793 * [misc]backup-simplify: Simplify k into k 1550698363.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698363.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.793 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698363.793 * [misc]taylor: Taking taylor expansion of n in n 1550698363.793 * [misc]backup-simplify: Simplify 0 into 0 1550698363.793 * [misc]backup-simplify: Simplify 1 into 1 1550698363.793 * [misc]backup-simplify: Simplify (log 1) into 0 1550698363.793 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698363.793 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698363.793 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698363.794 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1550698363.794 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1550698363.794 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in n 1550698363.794 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in n 1550698363.794 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in n 1550698363.794 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698363.794 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.794 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698363.794 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698363.794 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.794 * [misc]taylor: Taking taylor expansion of k in n 1550698363.794 * [misc]backup-simplify: Simplify k into k 1550698363.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698363.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.794 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698363.794 * [misc]taylor: Taking taylor expansion of 2 in n 1550698363.794 * [misc]backup-simplify: Simplify 2 into 2 1550698363.794 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698363.794 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698363.794 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698363.795 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1550698363.795 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1550698363.795 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550698363.795 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698363.795 * [misc]taylor: Taking taylor expansion of k in n 1550698363.795 * [misc]backup-simplify: Simplify k into k 1550698363.795 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698363.795 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550698363.795 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698363.795 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550698363.795 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in k 1550698363.796 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1550698363.796 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1550698363.796 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1550698363.796 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1550698363.796 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698363.796 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.796 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698363.796 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.796 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.796 * [misc]taylor: Taking taylor expansion of k in k 1550698363.796 * [misc]backup-simplify: Simplify 0 into 0 1550698363.796 * [misc]backup-simplify: Simplify 1 into 1 1550698363.796 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.796 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698363.796 * [misc]taylor: Taking taylor expansion of PI in k 1550698363.796 * [misc]backup-simplify: Simplify PI into PI 1550698363.796 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.796 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698363.797 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698363.797 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698363.798 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550698363.798 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1550698363.798 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1550698363.798 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1550698363.798 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1550698363.798 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698363.798 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.798 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698363.798 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.798 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.798 * [misc]taylor: Taking taylor expansion of k in k 1550698363.798 * [misc]backup-simplify: Simplify 0 into 0 1550698363.798 * [misc]backup-simplify: Simplify 1 into 1 1550698363.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.798 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698363.799 * [misc]taylor: Taking taylor expansion of n in k 1550698363.799 * [misc]backup-simplify: Simplify n into n 1550698363.799 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698363.799 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698363.799 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698363.799 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550698363.799 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550698363.799 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1550698363.799 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1550698363.799 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1550698363.799 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698363.799 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.799 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698363.799 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.799 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.799 * [misc]taylor: Taking taylor expansion of k in k 1550698363.799 * [misc]backup-simplify: Simplify 0 into 0 1550698363.799 * [misc]backup-simplify: Simplify 1 into 1 1550698363.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.800 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698363.800 * [misc]taylor: Taking taylor expansion of 2 in k 1550698363.800 * [misc]backup-simplify: Simplify 2 into 2 1550698363.800 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698363.800 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698363.800 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698363.801 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550698363.801 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1550698363.801 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698363.801 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698363.801 * [misc]taylor: Taking taylor expansion of k in k 1550698363.801 * [misc]backup-simplify: Simplify 0 into 0 1550698363.801 * [misc]backup-simplify: Simplify 1 into 1 1550698363.802 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698363.802 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698363.802 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698363.802 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in k 1550698363.802 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1550698363.802 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1550698363.803 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1550698363.803 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1550698363.803 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698363.803 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.803 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698363.803 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.803 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.803 * [misc]taylor: Taking taylor expansion of k in k 1550698363.803 * [misc]backup-simplify: Simplify 0 into 0 1550698363.803 * [misc]backup-simplify: Simplify 1 into 1 1550698363.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.803 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698363.803 * [misc]taylor: Taking taylor expansion of PI in k 1550698363.803 * [misc]backup-simplify: Simplify PI into PI 1550698363.803 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.803 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698363.804 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698363.804 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698363.805 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550698363.805 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1550698363.805 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1550698363.805 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1550698363.805 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1550698363.805 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698363.805 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.805 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698363.805 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.805 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.805 * [misc]taylor: Taking taylor expansion of k in k 1550698363.805 * [misc]backup-simplify: Simplify 0 into 0 1550698363.805 * [misc]backup-simplify: Simplify 1 into 1 1550698363.805 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.805 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698363.805 * [misc]taylor: Taking taylor expansion of n in k 1550698363.805 * [misc]backup-simplify: Simplify n into n 1550698363.805 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698363.806 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698363.806 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698363.806 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550698363.806 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550698363.806 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1550698363.806 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1550698363.806 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1550698363.806 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698363.806 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698363.806 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698363.806 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698363.806 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698363.806 * [misc]taylor: Taking taylor expansion of k in k 1550698363.806 * [misc]backup-simplify: Simplify 0 into 0 1550698363.806 * [misc]backup-simplify: Simplify 1 into 1 1550698363.806 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698363.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698363.806 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698363.806 * [misc]taylor: Taking taylor expansion of 2 in k 1550698363.806 * [misc]backup-simplify: Simplify 2 into 2 1550698363.807 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698363.807 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698363.807 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698363.807 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550698363.808 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1550698363.808 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698363.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698363.808 * [misc]taylor: Taking taylor expansion of k in k 1550698363.808 * [misc]backup-simplify: Simplify 0 into 0 1550698363.808 * [misc]backup-simplify: Simplify 1 into 1 1550698363.808 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698363.808 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698363.809 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698363.809 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow 2 1/2)) into (sqrt (* n 2)) 1550698363.809 * [misc]backup-simplify: Simplify (* (pow PI 1/2) (sqrt (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 1550698363.810 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 1550698363.810 * [misc]taylor: Taking taylor expansion of 0 in n 1550698363.810 * [misc]backup-simplify: Simplify 0 into 0 1550698363.810 * [misc]backup-simplify: Simplify 0 into 0 1550698363.812 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550698363.812 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1550698363.812 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698363.813 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1550698363.816 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1550698363.817 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550698363.817 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1550698363.817 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698363.817 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1550698363.817 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1550698363.819 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (sqrt n) (log n))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1550698363.821 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698363.821 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1550698363.821 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698363.822 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1550698363.825 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1550698363.828 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* -1/2 (* (log PI) (sqrt PI))) (sqrt (* n 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1550698363.830 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1550698363.831 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1550698363.831 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550698363.831 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698363.831 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698363.831 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550698363.831 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698363.831 * [misc]taylor: Taking taylor expansion of 2 in n 1550698363.831 * [misc]backup-simplify: Simplify 2 into 2 1550698363.831 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698363.831 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698363.831 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698363.831 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698363.831 * [misc]taylor: Taking taylor expansion of n in n 1550698363.831 * [misc]backup-simplify: Simplify 0 into 0 1550698363.831 * [misc]backup-simplify: Simplify 1 into 1 1550698363.831 * [misc]taylor: Taking taylor expansion of PI in n 1550698363.831 * [misc]backup-simplify: Simplify PI into PI 1550698363.832 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698363.832 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698363.833 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698363.833 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698363.833 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550698363.834 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698363.834 * [misc]backup-simplify: Simplify (- 0) into 0 1550698363.834 * [misc]backup-simplify: Simplify 0 into 0 1550698363.834 * [misc]backup-simplify: Simplify 0 into 0 1550698363.834 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550698363.835 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698363.839 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1550698363.840 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698363.840 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.840 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1550698363.844 * [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))) 1550698363.845 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550698363.845 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698363.845 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.846 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1550698363.846 * [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))) 1550698363.848 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1550698363.853 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550698363.853 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698363.853 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.854 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1550698363.859 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1550698363.865 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (sqrt (* n 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1550698363.874 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 1550698363.874 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) in n 1550698363.874 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))) in n 1550698363.874 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550698363.874 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698363.874 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698363.874 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1550698363.874 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1550698363.874 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698363.874 * [misc]taylor: Taking taylor expansion of 2 in n 1550698363.875 * [misc]backup-simplify: Simplify 2 into 2 1550698363.875 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698363.875 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698363.875 * [misc]taylor: Taking taylor expansion of 2 in n 1550698363.875 * [misc]backup-simplify: Simplify 2 into 2 1550698363.875 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698363.875 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698363.875 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698363.875 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698363.875 * [misc]taylor: Taking taylor expansion of n in n 1550698363.875 * [misc]backup-simplify: Simplify 0 into 0 1550698363.875 * [misc]backup-simplify: Simplify 1 into 1 1550698363.875 * [misc]taylor: Taking taylor expansion of PI in n 1550698363.875 * [misc]backup-simplify: Simplify PI into PI 1550698363.876 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698363.876 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698363.877 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698363.877 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698363.877 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) in n 1550698363.877 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))) in n 1550698363.877 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1550698363.877 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698363.877 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698363.877 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1550698363.877 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1550698363.877 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698363.877 * [misc]taylor: Taking taylor expansion of 2 in n 1550698363.877 * [misc]backup-simplify: Simplify 2 into 2 1550698363.878 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698363.878 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698363.878 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698363.878 * [misc]taylor: Taking taylor expansion of PI in n 1550698363.878 * [misc]backup-simplify: Simplify PI into PI 1550698363.878 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698363.878 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550698363.878 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550698363.878 * [misc]taylor: Taking taylor expansion of PI in n 1550698363.878 * [misc]backup-simplify: Simplify PI into PI 1550698363.878 * [misc]taylor: Taking taylor expansion of n in n 1550698363.878 * [misc]backup-simplify: Simplify 0 into 0 1550698363.878 * [misc]backup-simplify: Simplify 1 into 1 1550698363.879 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550698363.879 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550698363.880 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698363.880 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698363.880 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1550698363.880 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1550698363.880 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550698363.880 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698363.880 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698363.880 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550698363.880 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698363.880 * [misc]taylor: Taking taylor expansion of 2 in n 1550698363.880 * [misc]backup-simplify: Simplify 2 into 2 1550698363.880 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698363.881 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698363.881 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698363.881 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698363.881 * [misc]taylor: Taking taylor expansion of n in n 1550698363.881 * [misc]backup-simplify: Simplify 0 into 0 1550698363.881 * [misc]backup-simplify: Simplify 1 into 1 1550698363.881 * [misc]taylor: Taking taylor expansion of PI in n 1550698363.881 * [misc]backup-simplify: Simplify PI into PI 1550698363.881 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698363.882 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698363.882 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698363.882 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698363.882 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1550698363.882 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1550698363.883 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698363.883 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698363.883 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1550698363.883 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1550698363.883 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698363.883 * [misc]taylor: Taking taylor expansion of 2 in n 1550698363.883 * [misc]backup-simplify: Simplify 2 into 2 1550698363.883 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698363.883 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698363.883 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698363.883 * [misc]taylor: Taking taylor expansion of n in n 1550698363.883 * [misc]backup-simplify: Simplify 0 into 0 1550698363.883 * [misc]backup-simplify: Simplify 1 into 1 1550698363.883 * [misc]backup-simplify: Simplify (log 1) into 0 1550698363.883 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698363.883 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698363.883 * [misc]taylor: Taking taylor expansion of n in n 1550698363.883 * [misc]backup-simplify: Simplify 0 into 0 1550698363.883 * [misc]backup-simplify: Simplify 1 into 1 1550698363.884 * [misc]taylor: Taking taylor expansion of PI in n 1550698363.884 * [misc]backup-simplify: Simplify PI into PI 1550698363.884 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698363.884 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698363.885 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698363.885 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698363.886 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1550698363.886 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1550698363.886 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698363.887 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1550698363.888 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1550698363.888 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698363.888 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550698363.888 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698363.888 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698363.889 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1550698363.889 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1550698363.889 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698363.889 * [misc]backup-simplify: Simplify (- 0) into 0 1550698363.889 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.889 * [misc]backup-simplify: Simplify (- 0) into 0 1550698363.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.890 * [misc]backup-simplify: Simplify (- 0) into 0 1550698363.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.890 * [misc]backup-simplify: Simplify (- 0) into 0 1550698363.890 * [misc]backup-simplify: Simplify 0 into 0 1550698363.891 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698363.893 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698363.894 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698363.895 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698363.895 * [misc]backup-simplify: Simplify 0 into 0 1550698363.896 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698363.897 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698363.904 * [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 1550698363.904 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698363.904 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.905 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1550698363.911 * [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))) 1550698363.919 * [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 1550698363.919 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698363.920 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.920 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1550698363.922 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1550698363.927 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (pow (log 2) 3) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow 2 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n))))))) 1550698363.958 * [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 1550698363.965 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698363.965 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698363.967 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1550698363.983 * [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))) 1550698363.997 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n)))))))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (sqrt (* n 2)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 1550698364.027 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 1550698364.028 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) in n 1550698364.028 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))) in n 1550698364.028 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1550698364.028 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.028 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.028 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1550698364.028 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1550698364.028 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.028 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.028 * [misc]backup-simplify: Simplify 2 into 2 1550698364.028 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.028 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.028 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1550698364.028 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698364.028 * [misc]taylor: Taking taylor expansion of n in n 1550698364.028 * [misc]backup-simplify: Simplify 0 into 0 1550698364.028 * [misc]backup-simplify: Simplify 1 into 1 1550698364.029 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.029 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.029 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.029 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.029 * [misc]taylor: Taking taylor expansion of n in n 1550698364.029 * [misc]backup-simplify: Simplify 0 into 0 1550698364.029 * [misc]backup-simplify: Simplify 1 into 1 1550698364.029 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.029 * [misc]backup-simplify: Simplify PI into PI 1550698364.029 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.030 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.031 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.031 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))) in n 1550698364.031 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))) in n 1550698364.031 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1550698364.031 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.031 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.031 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1550698364.031 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1550698364.031 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.031 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.031 * [misc]backup-simplify: Simplify 2 into 2 1550698364.031 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.031 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.031 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1550698364.031 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.031 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.031 * [misc]backup-simplify: Simplify PI into PI 1550698364.032 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.032 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550698364.032 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550698364.032 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.032 * [misc]backup-simplify: Simplify PI into PI 1550698364.032 * [misc]taylor: Taking taylor expansion of n in n 1550698364.032 * [misc]backup-simplify: Simplify 0 into 0 1550698364.032 * [misc]backup-simplify: Simplify 1 into 1 1550698364.032 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550698364.038 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550698364.038 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.038 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.038 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))) in n 1550698364.039 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))) in n 1550698364.039 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550698364.039 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.039 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.039 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1550698364.039 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1550698364.039 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1550698364.039 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.039 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.039 * [misc]backup-simplify: Simplify 2 into 2 1550698364.039 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.039 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.039 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.039 * [misc]backup-simplify: Simplify 2 into 2 1550698364.039 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.040 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.040 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.040 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.040 * [misc]taylor: Taking taylor expansion of n in n 1550698364.040 * [misc]backup-simplify: Simplify 0 into 0 1550698364.040 * [misc]backup-simplify: Simplify 1 into 1 1550698364.040 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.040 * [misc]backup-simplify: Simplify PI into PI 1550698364.040 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.041 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.041 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.041 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.042 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))) in n 1550698364.042 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))) in n 1550698364.042 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1550698364.042 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.042 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.042 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1550698364.042 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.042 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.042 * [misc]backup-simplify: Simplify 2 into 2 1550698364.042 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.042 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.042 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.042 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.042 * [misc]taylor: Taking taylor expansion of n in n 1550698364.042 * [misc]backup-simplify: Simplify 0 into 0 1550698364.042 * [misc]backup-simplify: Simplify 1 into 1 1550698364.042 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.043 * [misc]backup-simplify: Simplify PI into PI 1550698364.043 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.043 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.044 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.044 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.044 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))) in n 1550698364.044 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))) in n 1550698364.046 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1550698364.046 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.046 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.046 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1550698364.046 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1550698364.046 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.046 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.046 * [misc]backup-simplify: Simplify 2 into 2 1550698364.046 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.046 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.046 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698364.046 * [misc]taylor: Taking taylor expansion of n in n 1550698364.046 * [misc]backup-simplify: Simplify 0 into 0 1550698364.046 * [misc]backup-simplify: Simplify 1 into 1 1550698364.047 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.047 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.047 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.047 * [misc]taylor: Taking taylor expansion of n in n 1550698364.047 * [misc]backup-simplify: Simplify 0 into 0 1550698364.047 * [misc]backup-simplify: Simplify 1 into 1 1550698364.047 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.047 * [misc]backup-simplify: Simplify PI into PI 1550698364.047 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.048 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.048 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.048 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.048 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))) in n 1550698364.048 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))) in n 1550698364.048 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1550698364.048 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.049 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.049 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1550698364.049 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1550698364.049 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.049 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.049 * [misc]backup-simplify: Simplify 2 into 2 1550698364.049 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.049 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.049 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.049 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.049 * [misc]backup-simplify: Simplify PI into PI 1550698364.049 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.049 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550698364.049 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550698364.049 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.050 * [misc]backup-simplify: Simplify PI into PI 1550698364.050 * [misc]taylor: Taking taylor expansion of n in n 1550698364.050 * [misc]backup-simplify: Simplify 0 into 0 1550698364.050 * [misc]backup-simplify: Simplify 1 into 1 1550698364.050 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550698364.050 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550698364.051 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.051 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.051 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))) in n 1550698364.051 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))) in n 1550698364.051 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1550698364.051 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.051 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.051 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1550698364.051 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1550698364.051 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.051 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.051 * [misc]backup-simplify: Simplify 2 into 2 1550698364.052 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.052 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.052 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1550698364.052 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.052 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.052 * [misc]backup-simplify: Simplify PI into PI 1550698364.052 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.052 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698364.052 * [misc]taylor: Taking taylor expansion of n in n 1550698364.052 * [misc]backup-simplify: Simplify 0 into 0 1550698364.052 * [misc]backup-simplify: Simplify 1 into 1 1550698364.053 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.053 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550698364.053 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550698364.053 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.053 * [misc]backup-simplify: Simplify PI into PI 1550698364.053 * [misc]taylor: Taking taylor expansion of n in n 1550698364.053 * [misc]backup-simplify: Simplify 0 into 0 1550698364.053 * [misc]backup-simplify: Simplify 1 into 1 1550698364.053 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550698364.054 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550698364.054 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.054 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.054 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))) in n 1550698364.054 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))) in n 1550698364.055 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1550698364.055 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.055 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.055 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1550698364.055 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1550698364.055 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.055 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.055 * [misc]backup-simplify: Simplify 2 into 2 1550698364.055 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.055 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1550698364.055 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.055 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.055 * [misc]backup-simplify: Simplify 2 into 2 1550698364.055 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.055 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.055 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698364.056 * [misc]taylor: Taking taylor expansion of n in n 1550698364.056 * [misc]backup-simplify: Simplify 0 into 0 1550698364.056 * [misc]backup-simplify: Simplify 1 into 1 1550698364.056 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.056 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.056 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.056 * [misc]taylor: Taking taylor expansion of n in n 1550698364.056 * [misc]backup-simplify: Simplify 0 into 0 1550698364.056 * [misc]backup-simplify: Simplify 1 into 1 1550698364.056 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.056 * [misc]backup-simplify: Simplify PI into PI 1550698364.056 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.057 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.057 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.058 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.058 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))) in n 1550698364.058 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))) in n 1550698364.058 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1550698364.058 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.058 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.058 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1550698364.058 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1550698364.058 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.058 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.058 * [misc]backup-simplify: Simplify 2 into 2 1550698364.058 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.058 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1550698364.058 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.058 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.058 * [misc]backup-simplify: Simplify 2 into 2 1550698364.058 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.059 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.059 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.059 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.059 * [misc]backup-simplify: Simplify PI into PI 1550698364.059 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.059 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550698364.059 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550698364.059 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.059 * [misc]backup-simplify: Simplify PI into PI 1550698364.059 * [misc]taylor: Taking taylor expansion of n in n 1550698364.059 * [misc]backup-simplify: Simplify 0 into 0 1550698364.059 * [misc]backup-simplify: Simplify 1 into 1 1550698364.060 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550698364.060 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550698364.060 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.061 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.061 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))) in n 1550698364.061 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1550698364.061 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.061 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.061 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1550698364.061 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1550698364.061 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.061 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.061 * [misc]backup-simplify: Simplify 2 into 2 1550698364.061 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.061 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1550698364.061 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.062 * [misc]backup-simplify: Simplify 2 into 2 1550698364.062 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1550698364.062 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1550698364.062 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.062 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.062 * [misc]taylor: Taking taylor expansion of n in n 1550698364.062 * [misc]backup-simplify: Simplify 0 into 0 1550698364.062 * [misc]backup-simplify: Simplify 1 into 1 1550698364.062 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.062 * [misc]backup-simplify: Simplify PI into PI 1550698364.062 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.063 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.063 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.064 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.064 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.064 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.064 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1550698364.065 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1550698364.065 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1550698364.065 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.066 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1550698364.067 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1550698364.068 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1550698364.068 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.069 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1550698364.070 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1550698364.071 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1550698364.071 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.071 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1550698364.071 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.071 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.072 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1550698364.072 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1550698364.072 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.073 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1550698364.074 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1550698364.074 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.074 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.074 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1550698364.075 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1550698364.075 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1550698364.075 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.076 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.076 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1550698364.076 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1550698364.077 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1550698364.077 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.077 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1550698364.079 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1550698364.080 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1550698364.080 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.081 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1550698364.081 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1550698364.081 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.081 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.082 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.082 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.082 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.082 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.082 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.082 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.083 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.083 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.083 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.083 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.083 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.083 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.084 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.084 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.084 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.084 * [misc]backup-simplify: Simplify 0 into 0 1550698364.091 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550698364.092 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1550698364.095 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1550698364.097 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1550698364.104 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698364.106 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1550698364.108 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1550698364.110 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1550698364.111 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698364.121 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1550698364.124 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550698364.124 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.126 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1550698364.127 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1550698364.128 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1550698364.128 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1550698364.129 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1550698364.131 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1550698364.134 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1550698364.138 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1550698364.144 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1550698364.150 * [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))))))))) 1550698364.192 * [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))))))))) 1550698364.195 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698364.197 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1550698364.198 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1550698364.201 * [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)))) 1550698364.205 * [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)))) 1550698364.207 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1550698364.208 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1550698364.217 * [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))))))))))))))) 1550698364.218 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (/ (pow PI (fma -1/2 (/ 1 k) 1/2)) (/ (sqrt (/ 1 k)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) 1550698364.218 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in (k n) around 0 1550698364.218 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in n 1550698364.218 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1550698364.218 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.218 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in n 1550698364.218 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in n 1550698364.218 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.218 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.218 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.218 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.218 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.218 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.218 * [misc]taylor: Taking taylor expansion of k in n 1550698364.218 * [misc]backup-simplify: Simplify k into k 1550698364.219 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.219 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.219 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.219 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.219 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.219 * [misc]backup-simplify: Simplify 2 into 2 1550698364.219 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.219 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.219 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.219 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.220 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550698364.220 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.220 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.220 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1550698364.220 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1550698364.220 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.220 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.220 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.220 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.220 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.220 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.220 * [misc]taylor: Taking taylor expansion of k in n 1550698364.220 * [misc]backup-simplify: Simplify k into k 1550698364.220 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.220 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.220 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.220 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.220 * [misc]backup-simplify: Simplify PI into PI 1550698364.221 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.221 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.221 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.221 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550698364.221 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.221 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.221 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698364.221 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698364.222 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.222 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.222 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.222 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.222 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.222 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.222 * [misc]taylor: Taking taylor expansion of k in n 1550698364.222 * [misc]backup-simplify: Simplify k into k 1550698364.222 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.222 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.222 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698364.222 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698364.222 * [misc]taylor: Taking taylor expansion of n in n 1550698364.222 * [misc]backup-simplify: Simplify 0 into 0 1550698364.222 * [misc]backup-simplify: Simplify 1 into 1 1550698364.222 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.222 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.222 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.222 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.223 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.223 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698364.223 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1550698364.223 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550698364.223 * [misc]taylor: Taking taylor expansion of k in n 1550698364.223 * [misc]backup-simplify: Simplify k into k 1550698364.223 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550698364.223 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550698364.223 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in k 1550698364.223 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1550698364.223 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.223 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1550698364.223 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1550698364.223 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.224 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.224 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.224 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.224 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.224 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.224 * [misc]taylor: Taking taylor expansion of k in k 1550698364.224 * [misc]backup-simplify: Simplify 0 into 0 1550698364.224 * [misc]backup-simplify: Simplify 1 into 1 1550698364.224 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.224 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698364.224 * [misc]taylor: Taking taylor expansion of 2 in k 1550698364.224 * [misc]backup-simplify: Simplify 2 into 2 1550698364.224 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.224 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.225 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.225 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1550698364.225 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1550698364.225 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1550698364.225 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.225 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1550698364.225 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1550698364.225 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.225 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.225 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.225 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.225 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.225 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.225 * [misc]taylor: Taking taylor expansion of k in k 1550698364.226 * [misc]backup-simplify: Simplify 0 into 0 1550698364.226 * [misc]backup-simplify: Simplify 1 into 1 1550698364.226 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.226 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.226 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.226 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.226 * [misc]backup-simplify: Simplify PI into PI 1550698364.226 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.226 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.226 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.227 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550698364.227 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1550698364.227 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.227 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1550698364.227 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1550698364.227 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.227 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.227 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.227 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.227 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.227 * [misc]taylor: Taking taylor expansion of k in k 1550698364.228 * [misc]backup-simplify: Simplify 0 into 0 1550698364.228 * [misc]backup-simplify: Simplify 1 into 1 1550698364.228 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.228 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550698364.228 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550698364.228 * [misc]taylor: Taking taylor expansion of n in k 1550698364.228 * [misc]backup-simplify: Simplify n into n 1550698364.228 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550698364.228 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550698364.228 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.228 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.228 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550698364.229 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1550698364.229 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698364.229 * [misc]taylor: Taking taylor expansion of k in k 1550698364.229 * [misc]backup-simplify: Simplify 0 into 0 1550698364.229 * [misc]backup-simplify: Simplify 1 into 1 1550698364.229 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.229 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698364.229 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in k 1550698364.229 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1550698364.229 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.229 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1550698364.229 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1550698364.229 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.230 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.230 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.230 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.230 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.230 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.230 * [misc]taylor: Taking taylor expansion of k in k 1550698364.230 * [misc]backup-simplify: Simplify 0 into 0 1550698364.230 * [misc]backup-simplify: Simplify 1 into 1 1550698364.230 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.230 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.230 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.230 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698364.230 * [misc]taylor: Taking taylor expansion of 2 in k 1550698364.230 * [misc]backup-simplify: Simplify 2 into 2 1550698364.230 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.230 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.230 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.231 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1550698364.231 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1550698364.231 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1550698364.231 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.231 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1550698364.231 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1550698364.231 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.231 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.231 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.231 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.231 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.231 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.231 * [misc]taylor: Taking taylor expansion of k in k 1550698364.231 * [misc]backup-simplify: Simplify 0 into 0 1550698364.231 * [misc]backup-simplify: Simplify 1 into 1 1550698364.232 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.232 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.232 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.232 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.232 * [misc]backup-simplify: Simplify PI into PI 1550698364.232 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.232 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.232 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.233 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550698364.233 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1550698364.233 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.233 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1550698364.233 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1550698364.233 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.233 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.233 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.233 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.233 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.233 * [misc]taylor: Taking taylor expansion of k in k 1550698364.233 * [misc]backup-simplify: Simplify 0 into 0 1550698364.233 * [misc]backup-simplify: Simplify 1 into 1 1550698364.234 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.234 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550698364.234 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550698364.234 * [misc]taylor: Taking taylor expansion of n in k 1550698364.234 * [misc]backup-simplify: Simplify n into n 1550698364.234 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550698364.234 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550698364.234 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.234 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.234 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550698364.234 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1550698364.235 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698364.235 * [misc]taylor: Taking taylor expansion of k in k 1550698364.235 * [misc]backup-simplify: Simplify 0 into 0 1550698364.235 * [misc]backup-simplify: Simplify 1 into 1 1550698364.235 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.235 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698364.235 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1550698364.236 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) 1550698364.237 * [misc]backup-simplify: Simplify (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) 0) into 0 1550698364.237 * [misc]taylor: Taking taylor expansion of 0 in n 1550698364.237 * [misc]backup-simplify: Simplify 0 into 0 1550698364.237 * [misc]backup-simplify: Simplify 0 into 0 1550698364.237 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1550698364.238 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1550698364.238 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) 1550698364.238 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) in n 1550698364.239 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))))) in n 1550698364.239 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.239 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.239 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1550698364.239 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.239 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.239 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.239 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.239 * [misc]backup-simplify: Simplify 2 into 2 1550698364.239 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.239 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.239 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.239 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.239 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.239 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.239 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.239 * [misc]taylor: Taking taylor expansion of k in n 1550698364.239 * [misc]backup-simplify: Simplify k into k 1550698364.239 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.239 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.239 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.240 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.240 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550698364.240 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.240 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.240 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698364.240 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698364.240 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.240 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.240 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.240 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.240 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.240 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.240 * [misc]taylor: Taking taylor expansion of k in n 1550698364.240 * [misc]backup-simplify: Simplify k into k 1550698364.240 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.241 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698364.241 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698364.241 * [misc]taylor: Taking taylor expansion of n in n 1550698364.241 * [misc]backup-simplify: Simplify 0 into 0 1550698364.241 * [misc]backup-simplify: Simplify 1 into 1 1550698364.241 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.241 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.241 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.241 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.241 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.242 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698364.242 * [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)))) 1550698364.242 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.242 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1550698364.242 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1550698364.242 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.242 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.242 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.242 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.242 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.242 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.242 * [misc]taylor: Taking taylor expansion of k in n 1550698364.242 * [misc]backup-simplify: Simplify k into k 1550698364.242 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.242 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.242 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.242 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.242 * [misc]backup-simplify: Simplify PI into PI 1550698364.243 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.243 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.243 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.243 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550698364.243 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.244 * [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))))) 1550698364.244 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550698364.245 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550698364.246 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698364.246 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698364.246 * [misc]backup-simplify: Simplify 0 into 0 1550698364.247 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698364.248 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1550698364.249 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1550698364.249 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) 1550698364.249 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) in n 1550698364.249 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))))) in n 1550698364.249 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.249 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.249 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1550698364.250 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.250 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.250 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.250 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.250 * [misc]backup-simplify: Simplify 2 into 2 1550698364.250 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.250 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.250 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.250 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.250 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.250 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.250 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.250 * [misc]taylor: Taking taylor expansion of k in n 1550698364.250 * [misc]backup-simplify: Simplify k into k 1550698364.250 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.250 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.250 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.251 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.251 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550698364.251 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.251 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.251 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698364.251 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698364.251 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.251 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.251 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.251 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.251 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.251 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.251 * [misc]taylor: Taking taylor expansion of k in n 1550698364.251 * [misc]backup-simplify: Simplify k into k 1550698364.251 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.251 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.251 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698364.251 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698364.252 * [misc]taylor: Taking taylor expansion of n in n 1550698364.252 * [misc]backup-simplify: Simplify 0 into 0 1550698364.252 * [misc]backup-simplify: Simplify 1 into 1 1550698364.252 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.252 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.252 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.252 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.252 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.252 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698364.253 * [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)))) 1550698364.253 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.253 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1550698364.253 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1550698364.253 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.253 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.253 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.253 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.253 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.253 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.253 * [misc]taylor: Taking taylor expansion of k in n 1550698364.253 * [misc]backup-simplify: Simplify k into k 1550698364.253 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.253 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.253 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.253 * [misc]backup-simplify: Simplify PI into PI 1550698364.253 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.254 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.254 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.254 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550698364.254 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.255 * [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))))) 1550698364.255 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550698364.256 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550698364.256 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698364.257 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698364.260 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698364.260 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698364.260 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698364.260 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.261 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1550698364.262 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.262 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550698364.264 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550698364.265 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698364.265 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698364.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.265 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.265 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1550698364.266 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.267 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1550698364.267 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698364.267 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698364.267 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.270 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550698364.270 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1550698364.271 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.272 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550698364.272 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1550698364.273 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.273 * [misc]backup-simplify: Simplify 0 into 0 1550698364.273 * [misc]backup-simplify: Simplify 0 into 0 1550698364.274 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698364.274 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1550698364.275 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))))) into 0 1550698364.276 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) 1550698364.276 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) in n 1550698364.276 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))))) in n 1550698364.276 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.276 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.276 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1550698364.276 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.276 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.276 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.276 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.276 * [misc]backup-simplify: Simplify 2 into 2 1550698364.276 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.277 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.277 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.277 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.277 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.277 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.277 * [misc]taylor: Taking taylor expansion of k in n 1550698364.277 * [misc]backup-simplify: Simplify k into k 1550698364.277 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.277 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.277 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.277 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.278 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1550698364.278 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.278 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.278 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698364.278 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698364.278 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.278 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.278 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.278 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.278 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.278 * [misc]taylor: Taking taylor expansion of k in n 1550698364.278 * [misc]backup-simplify: Simplify k into k 1550698364.278 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.278 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698364.278 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698364.278 * [misc]taylor: Taking taylor expansion of n in n 1550698364.278 * [misc]backup-simplify: Simplify 0 into 0 1550698364.278 * [misc]backup-simplify: Simplify 1 into 1 1550698364.278 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.279 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.279 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.279 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.279 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.279 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698364.279 * [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)))) 1550698364.279 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.279 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1550698364.279 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1550698364.279 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.279 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.280 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.280 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.280 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.280 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.280 * [misc]taylor: Taking taylor expansion of k in n 1550698364.280 * [misc]backup-simplify: Simplify k into k 1550698364.280 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.280 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.280 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.280 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.280 * [misc]backup-simplify: Simplify PI into PI 1550698364.280 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.280 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.280 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.281 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550698364.281 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.281 * [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))))) 1550698364.282 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550698364.282 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550698364.283 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698364.284 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1550698364.287 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1550698364.287 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 (/ 1 (- k)) 1/2)) (/ (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) (/ (sqrt (/ 1 (- k))) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))))) into (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) 1550698364.287 * [misc]approximate: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in (k n) around 0 1550698364.287 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in n 1550698364.287 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in n 1550698364.287 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.287 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in n 1550698364.287 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in n 1550698364.288 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.288 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.288 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.288 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.288 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.288 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.288 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.288 * [misc]backup-simplify: Simplify -1 into -1 1550698364.288 * [misc]taylor: Taking taylor expansion of k in n 1550698364.288 * [misc]backup-simplify: Simplify k into k 1550698364.288 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.288 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.288 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.288 * [misc]backup-simplify: Simplify PI into PI 1550698364.288 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.288 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.289 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.289 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550698364.289 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.289 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.289 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.289 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1550698364.289 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1550698364.289 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.289 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.289 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.290 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.290 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.290 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.290 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.290 * [misc]backup-simplify: Simplify -1 into -1 1550698364.290 * [misc]taylor: Taking taylor expansion of k in n 1550698364.290 * [misc]backup-simplify: Simplify k into k 1550698364.290 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.290 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698364.290 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698364.290 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.290 * [misc]backup-simplify: Simplify -1 into -1 1550698364.290 * [misc]taylor: Taking taylor expansion of n in n 1550698364.290 * [misc]backup-simplify: Simplify 0 into 0 1550698364.290 * [misc]backup-simplify: Simplify 1 into 1 1550698364.290 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.290 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698364.290 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.291 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.291 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.291 * [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))) 1550698364.291 * [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)))) 1550698364.292 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.292 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in n 1550698364.292 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in n 1550698364.292 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.292 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.292 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.292 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.292 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.292 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.292 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.292 * [misc]backup-simplify: Simplify -1 into -1 1550698364.292 * [misc]taylor: Taking taylor expansion of k in n 1550698364.292 * [misc]backup-simplify: Simplify k into k 1550698364.292 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.292 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.292 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.292 * [misc]backup-simplify: Simplify 2 into 2 1550698364.292 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.292 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.292 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.293 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.293 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550698364.293 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550698364.293 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.293 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.293 * [misc]backup-simplify: Simplify -1 into -1 1550698364.293 * [misc]taylor: Taking taylor expansion of k in n 1550698364.293 * [misc]backup-simplify: Simplify k into k 1550698364.293 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.293 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550698364.293 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698364.294 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550698364.294 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1550698364.295 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550698364.295 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1550698364.296 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in k 1550698364.296 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1550698364.296 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.296 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1550698364.296 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1550698364.296 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.296 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.296 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.296 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.296 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.296 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.296 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.296 * [misc]backup-simplify: Simplify -1 into -1 1550698364.296 * [misc]taylor: Taking taylor expansion of k in k 1550698364.296 * [misc]backup-simplify: Simplify 0 into 0 1550698364.296 * [misc]backup-simplify: Simplify 1 into 1 1550698364.296 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.296 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.297 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.297 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.297 * [misc]backup-simplify: Simplify PI into PI 1550698364.297 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.297 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.297 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.298 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698364.298 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1550698364.298 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1550698364.298 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.298 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1550698364.298 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1550698364.298 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.298 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.298 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.298 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.298 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.298 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.298 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.298 * [misc]backup-simplify: Simplify -1 into -1 1550698364.299 * [misc]taylor: Taking taylor expansion of k in k 1550698364.299 * [misc]backup-simplify: Simplify 0 into 0 1550698364.299 * [misc]backup-simplify: Simplify 1 into 1 1550698364.299 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.299 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550698364.299 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550698364.299 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.299 * [misc]backup-simplify: Simplify -1 into -1 1550698364.299 * [misc]taylor: Taking taylor expansion of n in k 1550698364.299 * [misc]backup-simplify: Simplify n into n 1550698364.299 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550698364.299 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550698364.299 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.299 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.299 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550698364.300 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1550698364.300 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.300 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1550698364.300 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1550698364.300 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.300 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.300 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.300 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.300 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.300 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.300 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.300 * [misc]backup-simplify: Simplify -1 into -1 1550698364.300 * [misc]taylor: Taking taylor expansion of k in k 1550698364.300 * [misc]backup-simplify: Simplify 0 into 0 1550698364.300 * [misc]backup-simplify: Simplify 1 into 1 1550698364.300 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.300 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.300 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698364.300 * [misc]taylor: Taking taylor expansion of 2 in k 1550698364.300 * [misc]backup-simplify: Simplify 2 into 2 1550698364.301 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.301 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.301 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.301 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550698364.301 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1550698364.301 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698364.301 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.302 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.302 * [misc]backup-simplify: Simplify -1 into -1 1550698364.302 * [misc]taylor: Taking taylor expansion of k in k 1550698364.302 * [misc]backup-simplify: Simplify 0 into 0 1550698364.302 * [misc]backup-simplify: Simplify 1 into 1 1550698364.302 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.302 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.302 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698364.303 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1550698364.303 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1550698364.304 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) 1550698364.304 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in k 1550698364.304 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1550698364.304 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.304 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1550698364.304 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1550698364.304 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.305 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.305 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.305 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.305 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.305 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.305 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.305 * [misc]backup-simplify: Simplify -1 into -1 1550698364.305 * [misc]taylor: Taking taylor expansion of k in k 1550698364.305 * [misc]backup-simplify: Simplify 0 into 0 1550698364.305 * [misc]backup-simplify: Simplify 1 into 1 1550698364.305 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.305 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.305 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.305 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.305 * [misc]backup-simplify: Simplify PI into PI 1550698364.305 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.306 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.306 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.306 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698364.307 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1550698364.307 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1550698364.307 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.307 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1550698364.307 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1550698364.307 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.307 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.307 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.307 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.307 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.307 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.307 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.307 * [misc]backup-simplify: Simplify -1 into -1 1550698364.307 * [misc]taylor: Taking taylor expansion of k in k 1550698364.307 * [misc]backup-simplify: Simplify 0 into 0 1550698364.307 * [misc]backup-simplify: Simplify 1 into 1 1550698364.307 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.307 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.307 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550698364.307 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550698364.307 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.307 * [misc]backup-simplify: Simplify -1 into -1 1550698364.307 * [misc]taylor: Taking taylor expansion of n in k 1550698364.308 * [misc]backup-simplify: Simplify n into n 1550698364.308 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550698364.308 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550698364.308 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.308 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.308 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550698364.308 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1550698364.308 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.308 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1550698364.308 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1550698364.308 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.308 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.308 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.308 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.308 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.309 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.309 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.309 * [misc]backup-simplify: Simplify -1 into -1 1550698364.309 * [misc]taylor: Taking taylor expansion of k in k 1550698364.309 * [misc]backup-simplify: Simplify 0 into 0 1550698364.309 * [misc]backup-simplify: Simplify 1 into 1 1550698364.309 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.309 * [misc]taylor: Taking taylor expansion of (log 2) in k 1550698364.309 * [misc]taylor: Taking taylor expansion of 2 in k 1550698364.309 * [misc]backup-simplify: Simplify 2 into 2 1550698364.309 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.309 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.309 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.310 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1550698364.310 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1550698364.310 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698364.310 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.310 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.310 * [misc]backup-simplify: Simplify -1 into -1 1550698364.310 * [misc]taylor: Taking taylor expansion of k in k 1550698364.310 * [misc]backup-simplify: Simplify 0 into 0 1550698364.310 * [misc]backup-simplify: Simplify 1 into 1 1550698364.310 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.311 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.311 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698364.311 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1550698364.312 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1550698364.312 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) 1550698364.313 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1550698364.313 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.313 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.313 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1550698364.313 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.313 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.313 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698364.313 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698364.313 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.313 * [misc]backup-simplify: Simplify -1 into -1 1550698364.313 * [misc]taylor: Taking taylor expansion of n in n 1550698364.313 * [misc]backup-simplify: Simplify 0 into 0 1550698364.313 * [misc]backup-simplify: Simplify 1 into 1 1550698364.313 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.313 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698364.313 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.313 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.313 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.313 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.313 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.313 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.313 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.313 * [misc]backup-simplify: Simplify -1 into -1 1550698364.313 * [misc]taylor: Taking taylor expansion of k in n 1550698364.313 * [misc]backup-simplify: Simplify k into k 1550698364.313 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.313 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.314 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.314 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.314 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.314 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1550698364.314 * [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)))) 1550698364.314 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1550698364.314 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.314 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.314 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.314 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.314 * [misc]backup-simplify: Simplify PI into PI 1550698364.315 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.315 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.315 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.315 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.315 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.315 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.315 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.315 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.315 * [misc]backup-simplify: Simplify -1 into -1 1550698364.315 * [misc]taylor: Taking taylor expansion of k in n 1550698364.315 * [misc]backup-simplify: Simplify k into k 1550698364.315 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.315 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.315 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.315 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550698364.315 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.315 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.315 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.316 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.316 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.316 * [misc]backup-simplify: Simplify 2 into 2 1550698364.316 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.316 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.316 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.316 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.316 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.316 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.316 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.316 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.316 * [misc]backup-simplify: Simplify -1 into -1 1550698364.316 * [misc]taylor: Taking taylor expansion of k in n 1550698364.316 * [misc]backup-simplify: Simplify k into k 1550698364.316 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.316 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.316 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.316 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.316 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550698364.317 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550698364.317 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550698364.317 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550698364.318 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550698364.318 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into 0 1550698364.319 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1550698364.319 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550698364.320 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698364.322 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) 1550698364.322 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) in n 1550698364.322 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1550698364.322 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.322 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.322 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1550698364.322 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.322 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.322 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698364.322 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698364.322 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.322 * [misc]backup-simplify: Simplify -1 into -1 1550698364.322 * [misc]taylor: Taking taylor expansion of n in n 1550698364.322 * [misc]backup-simplify: Simplify 0 into 0 1550698364.322 * [misc]backup-simplify: Simplify 1 into 1 1550698364.322 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.323 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698364.323 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.323 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.323 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.323 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.323 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.323 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.323 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.323 * [misc]backup-simplify: Simplify -1 into -1 1550698364.323 * [misc]taylor: Taking taylor expansion of k in n 1550698364.323 * [misc]backup-simplify: Simplify k into k 1550698364.323 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.323 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.323 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.324 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.324 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1550698364.324 * [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)))) 1550698364.324 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1550698364.324 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.324 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.324 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.324 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.324 * [misc]backup-simplify: Simplify PI into PI 1550698364.325 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.325 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.325 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.325 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.325 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.325 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.325 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.325 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.325 * [misc]backup-simplify: Simplify -1 into -1 1550698364.325 * [misc]taylor: Taking taylor expansion of k in n 1550698364.325 * [misc]backup-simplify: Simplify k into k 1550698364.325 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.325 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.325 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.326 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.326 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550698364.326 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.326 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.326 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.326 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.326 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.326 * [misc]backup-simplify: Simplify 2 into 2 1550698364.326 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.326 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.327 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.327 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.327 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.327 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.327 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.327 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.327 * [misc]backup-simplify: Simplify -1 into -1 1550698364.327 * [misc]taylor: Taking taylor expansion of k in n 1550698364.327 * [misc]backup-simplify: Simplify k into k 1550698364.327 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.327 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.327 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.327 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.327 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.327 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550698364.327 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550698364.328 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550698364.328 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550698364.329 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550698364.330 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550698364.330 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698364.330 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698364.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.333 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1550698364.333 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1550698364.334 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.335 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698364.335 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698364.335 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.337 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698364.337 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1550698364.339 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.339 * [misc]backup-simplify: Simplify (+ (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550698364.339 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.339 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698364.340 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698364.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.340 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550698364.342 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1550698364.343 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1550698364.344 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.345 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550698364.345 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1550698364.346 * [misc]backup-simplify: Simplify 0 into 0 1550698364.346 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1550698364.347 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1550698364.347 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698364.349 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698364.351 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) 1550698364.351 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) in n 1550698364.351 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1550698364.351 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.351 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.351 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1550698364.351 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.351 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.351 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698364.351 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698364.351 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.351 * [misc]backup-simplify: Simplify -1 into -1 1550698364.351 * [misc]taylor: Taking taylor expansion of n in n 1550698364.351 * [misc]backup-simplify: Simplify 0 into 0 1550698364.351 * [misc]backup-simplify: Simplify 1 into 1 1550698364.351 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.352 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698364.352 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.352 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.352 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.352 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.352 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.352 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.352 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.352 * [misc]backup-simplify: Simplify -1 into -1 1550698364.352 * [misc]taylor: Taking taylor expansion of k in n 1550698364.352 * [misc]backup-simplify: Simplify k into k 1550698364.352 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.352 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.352 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.353 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.353 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1550698364.353 * [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)))) 1550698364.353 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1550698364.353 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.353 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.353 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.353 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.353 * [misc]backup-simplify: Simplify PI into PI 1550698364.354 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.354 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.354 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.354 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.354 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.354 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.354 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.354 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.354 * [misc]backup-simplify: Simplify -1 into -1 1550698364.354 * [misc]taylor: Taking taylor expansion of k in n 1550698364.354 * [misc]backup-simplify: Simplify k into k 1550698364.354 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.354 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.354 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.354 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.355 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550698364.355 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.355 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.355 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.355 * [misc]taylor: Taking taylor expansion of (log 2) in n 1550698364.355 * [misc]taylor: Taking taylor expansion of 2 in n 1550698364.355 * [misc]backup-simplify: Simplify 2 into 2 1550698364.355 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1550698364.355 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.355 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.355 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.355 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.355 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.355 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.355 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.356 * [misc]backup-simplify: Simplify -1 into -1 1550698364.356 * [misc]taylor: Taking taylor expansion of k in n 1550698364.356 * [misc]backup-simplify: Simplify k into k 1550698364.356 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.356 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.356 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.356 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.356 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1550698364.357 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550698364.358 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550698364.358 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550698364.359 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550698364.360 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1550698364.363 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1550698364.364 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1550698364.364 * [misc]backup-simplify: Simplify (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) into (* (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (/ 1 k))) 1550698364.364 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (/ 1 k))) in (k n) around 0 1550698364.364 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (/ 1 k))) in n 1550698364.364 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in n 1550698364.364 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in n 1550698364.364 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in n 1550698364.364 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in n 1550698364.364 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698364.364 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698364.364 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698364.364 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.364 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.364 * [misc]taylor: Taking taylor expansion of k in n 1550698364.364 * [misc]backup-simplify: Simplify k into k 1550698364.364 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.364 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.365 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.365 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.365 * [misc]backup-simplify: Simplify PI into PI 1550698364.365 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.365 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698364.365 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698364.366 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1550698364.366 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1550698364.366 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1550698364.366 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1550698364.366 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1550698364.366 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1550698364.366 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698364.366 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1550698364.366 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.366 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.366 * [misc]taylor: Taking taylor expansion of k in n 1550698364.366 * [misc]backup-simplify: Simplify k into k 1550698364.366 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.366 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698364.366 * [misc]taylor: Taking taylor expansion of n in n 1550698364.366 * [misc]backup-simplify: Simplify 0 into 0 1550698364.366 * [misc]backup-simplify: Simplify 1 into 1 1550698364.367 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.367 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1550698364.367 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1550698364.367 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.367 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1550698364.367 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1550698364.367 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1550698364.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.367 * [misc]taylor: Taking taylor expansion of k in n 1550698364.367 * [misc]backup-simplify: Simplify k into k 1550698364.367 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.368 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1550698364.368 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698364.368 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1550698364.368 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (/ 1 k))) in k 1550698364.368 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in k 1550698364.368 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1550698364.368 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1550698364.368 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1550698364.368 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698364.368 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698364.368 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698364.368 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.368 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.368 * [misc]taylor: Taking taylor expansion of k in k 1550698364.368 * [misc]backup-simplify: Simplify 0 into 0 1550698364.368 * [misc]backup-simplify: Simplify 1 into 1 1550698364.368 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.368 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.368 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.368 * [misc]backup-simplify: Simplify PI into PI 1550698364.369 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.369 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698364.369 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698364.369 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698364.370 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550698364.370 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1550698364.370 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1550698364.370 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1550698364.370 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698364.370 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698364.370 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698364.370 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.370 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.371 * [misc]taylor: Taking taylor expansion of k in k 1550698364.371 * [misc]backup-simplify: Simplify 0 into 0 1550698364.371 * [misc]backup-simplify: Simplify 1 into 1 1550698364.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.371 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698364.371 * [misc]taylor: Taking taylor expansion of n in k 1550698364.371 * [misc]backup-simplify: Simplify n into n 1550698364.371 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698364.371 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698364.371 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698364.371 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550698364.371 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550698364.371 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698364.371 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.371 * [misc]taylor: Taking taylor expansion of k in k 1550698364.371 * [misc]backup-simplify: Simplify 0 into 0 1550698364.371 * [misc]backup-simplify: Simplify 1 into 1 1550698364.372 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.372 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.372 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698364.372 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (/ 1 k))) in k 1550698364.372 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in k 1550698364.372 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1550698364.372 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1550698364.372 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1550698364.372 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698364.372 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698364.372 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698364.372 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.373 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.373 * [misc]taylor: Taking taylor expansion of k in k 1550698364.373 * [misc]backup-simplify: Simplify 0 into 0 1550698364.373 * [misc]backup-simplify: Simplify 1 into 1 1550698364.373 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.373 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.373 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.373 * [misc]backup-simplify: Simplify PI into PI 1550698364.373 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.373 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698364.373 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698364.374 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698364.375 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1550698364.375 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1550698364.375 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1550698364.375 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1550698364.375 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1550698364.375 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1550698364.375 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1550698364.375 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.375 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.375 * [misc]taylor: Taking taylor expansion of k in k 1550698364.375 * [misc]backup-simplify: Simplify 0 into 0 1550698364.375 * [misc]backup-simplify: Simplify 1 into 1 1550698364.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.375 * [misc]taylor: Taking taylor expansion of (log n) in k 1550698364.375 * [misc]taylor: Taking taylor expansion of n in k 1550698364.375 * [misc]backup-simplify: Simplify n into n 1550698364.375 * [misc]backup-simplify: Simplify (log n) into (log n) 1550698364.375 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1550698364.375 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1550698364.376 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1550698364.376 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1550698364.376 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1550698364.376 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.376 * [misc]taylor: Taking taylor expansion of k in k 1550698364.376 * [misc]backup-simplify: Simplify 0 into 0 1550698364.376 * [misc]backup-simplify: Simplify 1 into 1 1550698364.376 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.376 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.376 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698364.377 * [misc]backup-simplify: Simplify (* (pow PI 1/2) (pow n 1/2)) into (sqrt (* n PI)) 1550698364.377 * [misc]backup-simplify: Simplify (* (sqrt (* n PI)) 0) into 0 1550698364.377 * [misc]taylor: Taking taylor expansion of 0 in n 1550698364.377 * [misc]backup-simplify: Simplify 0 into 0 1550698364.377 * [misc]backup-simplify: Simplify 0 into 0 1550698364.378 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1550698364.378 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1550698364.378 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.379 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1550698364.379 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1550698364.381 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698364.381 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1550698364.382 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.382 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1550698364.387 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1550698364.388 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow n 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 1550698364.389 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n PI)) +nan.0) (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (sqrt (* n PI)))) 1550698364.389 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt (* n PI)))) in n 1550698364.389 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (* n PI))) in n 1550698364.389 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.389 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.389 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.389 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.389 * [misc]taylor: Taking taylor expansion of n in n 1550698364.389 * [misc]backup-simplify: Simplify 0 into 0 1550698364.389 * [misc]backup-simplify: Simplify 1 into 1 1550698364.389 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.389 * [misc]backup-simplify: Simplify PI into PI 1550698364.390 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.390 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.391 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.391 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.391 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.391 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.391 * [misc]backup-simplify: Simplify 0 into 0 1550698364.391 * [misc]backup-simplify: Simplify 0 into 0 1550698364.392 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550698364.393 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698364.394 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1550698364.395 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698364.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.395 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1550698364.396 * [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))) 1550698364.400 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1550698364.401 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1550698364.401 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.402 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1550698364.407 * [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))) 1550698364.410 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow n 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 1550698364.412 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n PI)) +nan.0) (+ (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 0))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (* +nan.0 (sqrt (* n PI)))))))) 1550698364.413 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (* +nan.0 (sqrt (* n PI)))))))) in n 1550698364.413 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (* +nan.0 (sqrt (* n PI))))))) in n 1550698364.413 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (log n))) in n 1550698364.413 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.413 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.413 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log n)) in n 1550698364.413 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.413 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.413 * [misc]taylor: Taking taylor expansion of n in n 1550698364.413 * [misc]backup-simplify: Simplify 0 into 0 1550698364.413 * [misc]backup-simplify: Simplify 1 into 1 1550698364.413 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.413 * [misc]backup-simplify: Simplify PI into PI 1550698364.413 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.414 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.414 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.414 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.414 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698364.414 * [misc]taylor: Taking taylor expansion of n in n 1550698364.414 * [misc]backup-simplify: Simplify 0 into 0 1550698364.415 * [misc]backup-simplify: Simplify 1 into 1 1550698364.415 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.415 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (* +nan.0 (sqrt (* n PI)))))) in n 1550698364.415 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (* +nan.0 (sqrt (* n PI))))) in n 1550698364.415 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (log PI) (sqrt (* PI n)))) in n 1550698364.415 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.415 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.415 * [misc]taylor: Taking taylor expansion of (* (log PI) (sqrt (* PI n))) in n 1550698364.415 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.415 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.415 * [misc]backup-simplify: Simplify PI into PI 1550698364.415 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.415 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550698364.415 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550698364.415 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.415 * [misc]backup-simplify: Simplify PI into PI 1550698364.415 * [misc]taylor: Taking taylor expansion of n in n 1550698364.415 * [misc]backup-simplify: Simplify 0 into 0 1550698364.415 * [misc]backup-simplify: Simplify 1 into 1 1550698364.416 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550698364.416 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550698364.416 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.417 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.417 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt (* n PI)))) in n 1550698364.417 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (* n PI))) in n 1550698364.417 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.417 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.417 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.417 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.417 * [misc]taylor: Taking taylor expansion of n in n 1550698364.417 * [misc]backup-simplify: Simplify 0 into 0 1550698364.417 * [misc]backup-simplify: Simplify 1 into 1 1550698364.417 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.417 * [misc]backup-simplify: Simplify PI into PI 1550698364.417 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.418 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.418 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.419 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.419 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.419 * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 1550698364.419 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.420 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1550698364.420 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.420 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.420 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.420 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.420 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.421 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.421 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.421 * [misc]backup-simplify: Simplify 0 into 0 1550698364.422 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 PI)) 1550698364.423 * [misc]backup-simplify: Simplify (- (- (* +nan.0 PI))) into (- (* +nan.0 PI)) 1550698364.423 * [misc]backup-simplify: Simplify (- (* +nan.0 PI)) into (- (* +nan.0 PI)) 1550698364.423 * [misc]backup-simplify: Simplify 0 into 0 1550698364.423 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698364.425 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698364.427 * [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 1550698364.427 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698364.428 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.428 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1550698364.430 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1550698364.436 * [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 1550698364.437 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1550698364.437 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.439 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1550698364.446 * [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))) 1550698364.451 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (* -1/48 (* (sqrt n) (pow (log n) 3)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow n 1/2))))) into (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n)))))))) 1550698364.457 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n PI)) +nan.0) (+ (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) +nan.0) (* (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n)))))))) 0)))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n))))))))))))))) 1550698364.457 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n))))))))))))))) in n 1550698364.457 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n)))))))))))))) in n 1550698364.457 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) in n 1550698364.457 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.457 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.457 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (log n) 2)) in n 1550698364.457 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.457 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.457 * [misc]taylor: Taking taylor expansion of n in n 1550698364.458 * [misc]backup-simplify: Simplify 0 into 0 1550698364.458 * [misc]backup-simplify: Simplify 1 into 1 1550698364.458 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.458 * [misc]backup-simplify: Simplify PI into PI 1550698364.458 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.459 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.459 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.459 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.459 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1550698364.459 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698364.459 * [misc]taylor: Taking taylor expansion of n in n 1550698364.459 * [misc]backup-simplify: Simplify 0 into 0 1550698364.460 * [misc]backup-simplify: Simplify 1 into 1 1550698364.460 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.460 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.460 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n))))))))))))) in n 1550698364.460 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n)))))))))))) in n 1550698364.460 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (log n))) in n 1550698364.460 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.460 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.460 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log n)) in n 1550698364.460 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.460 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.460 * [misc]taylor: Taking taylor expansion of n in n 1550698364.460 * [misc]backup-simplify: Simplify 0 into 0 1550698364.460 * [misc]backup-simplify: Simplify 1 into 1 1550698364.460 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.460 * [misc]backup-simplify: Simplify PI into PI 1550698364.461 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.461 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.461 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.462 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.462 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698364.462 * [misc]taylor: Taking taylor expansion of n in n 1550698364.462 * [misc]backup-simplify: Simplify 0 into 0 1550698364.462 * [misc]backup-simplify: Simplify 1 into 1 1550698364.462 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.462 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n))))))))))) in n 1550698364.462 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (log PI) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n)))))))))) in n 1550698364.462 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (log PI) (sqrt (* PI n)))) in n 1550698364.462 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.462 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.462 * [misc]taylor: Taking taylor expansion of (* (log PI) (sqrt (* PI n))) in n 1550698364.462 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.462 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.462 * [misc]backup-simplify: Simplify PI into PI 1550698364.463 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.463 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550698364.463 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550698364.463 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.463 * [misc]backup-simplify: Simplify PI into PI 1550698364.463 * [misc]taylor: Taking taylor expansion of n in n 1550698364.463 * [misc]backup-simplify: Simplify 0 into 0 1550698364.463 * [misc]backup-simplify: Simplify 1 into 1 1550698364.463 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550698364.464 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550698364.464 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.464 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.464 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n))))))))) in n 1550698364.464 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n)))))))) in n 1550698364.464 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (log PI) 2) (sqrt (* PI n)))) in n 1550698364.464 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.465 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.465 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (sqrt (* PI n))) in n 1550698364.465 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1550698364.465 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.465 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.465 * [misc]backup-simplify: Simplify PI into PI 1550698364.465 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.465 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550698364.465 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550698364.465 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.465 * [misc]backup-simplify: Simplify PI into PI 1550698364.465 * [misc]taylor: Taking taylor expansion of n in n 1550698364.465 * [misc]backup-simplify: Simplify 0 into 0 1550698364.465 * [misc]backup-simplify: Simplify 1 into 1 1550698364.465 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550698364.466 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550698364.466 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.466 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.466 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n))))))) in n 1550698364.466 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (sqrt (* n PI))) (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n)))))) in n 1550698364.466 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (* n PI))) in n 1550698364.466 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.466 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.466 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1550698364.466 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1550698364.466 * [misc]taylor: Taking taylor expansion of n in n 1550698364.466 * [misc]backup-simplify: Simplify 0 into 0 1550698364.466 * [misc]backup-simplify: Simplify 1 into 1 1550698364.466 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.467 * [misc]backup-simplify: Simplify PI into PI 1550698364.467 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1550698364.467 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1550698364.467 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.467 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.467 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n))))) in n 1550698364.467 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log PI) (log n)) (sqrt (* PI n)))) in n 1550698364.467 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.468 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.468 * [misc]taylor: Taking taylor expansion of (* (* (log PI) (log n)) (sqrt (* PI n))) in n 1550698364.468 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1550698364.468 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.468 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.468 * [misc]backup-simplify: Simplify PI into PI 1550698364.468 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.468 * [misc]taylor: Taking taylor expansion of (log n) in n 1550698364.468 * [misc]taylor: Taking taylor expansion of n in n 1550698364.468 * [misc]backup-simplify: Simplify 0 into 0 1550698364.468 * [misc]backup-simplify: Simplify 1 into 1 1550698364.468 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.468 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1550698364.468 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1550698364.468 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.468 * [misc]backup-simplify: Simplify PI into PI 1550698364.468 * [misc]taylor: Taking taylor expansion of n in n 1550698364.468 * [misc]backup-simplify: Simplify 0 into 0 1550698364.468 * [misc]backup-simplify: Simplify 1 into 1 1550698364.468 * [misc]backup-simplify: Simplify (* PI 0) into 0 1550698364.469 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1550698364.469 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.470 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1550698364.470 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.470 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.470 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1550698364.470 * [misc]backup-simplify: Simplify (* 0 (pow (log n) 2)) into 0 1550698364.470 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.471 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.471 * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 1550698364.471 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.471 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1550698364.471 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.472 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1550698364.473 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1550698364.473 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.473 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.473 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.474 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1550698364.474 * [misc]backup-simplify: Simplify (* (* (log PI) (log n)) 0) into 0 1550698364.474 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1550698364.474 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.474 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.474 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.475 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.475 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.475 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.475 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.475 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.475 * [misc]backup-simplify: Simplify 0 into 0 1550698364.476 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550698364.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1550698364.477 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (log n))) into (- (* +nan.0 (* PI (log n)))) 1550698364.477 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (log n))))) (* 0 0)) into (- (* +nan.0 (* PI (log n)))) 1550698364.480 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698364.481 * [misc]backup-simplify: Simplify (+ (* (log PI) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log PI) PI))) 1550698364.483 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log PI) PI)))) (* 0 0)) into (- (* +nan.0 (* (log PI) PI))) 1550698364.483 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 PI)) 1550698364.484 * [misc]backup-simplify: Simplify (- (- (* +nan.0 PI))) into (- (* +nan.0 PI)) 1550698364.486 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log PI) PI))) (- (* +nan.0 PI))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))) 1550698364.488 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))) 1550698364.490 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* PI (log n)))) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI))))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))))) 1550698364.492 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n))))))))) into (- (+ (* +nan.0 (* PI (log n))) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))))) 1550698364.494 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* PI (log n))) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))))) into (- (+ (* +nan.0 (* PI (log n))) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))))) 1550698364.495 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1550698364.496 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1550698364.498 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (pow PI 2))) 1550698364.499 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (pow PI 2)))) into (- (* +nan.0 (pow PI 2))) 1550698364.500 * [misc]backup-simplify: Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2))) 1550698364.504 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow PI 2))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* PI (log n))) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 PI)))))) (* n k)) (* (- (* +nan.0 PI)) (* n 1)))) into (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (+ (* +nan.0 (* n (* PI k))) (- (* +nan.0 (* n PI))))))))))) 1550698364.505 * [misc]backup-simplify: Simplify (/ (pow PI (fma -1/2 (/ 1 k) 1/2)) (/ (sqrt (/ 1 k)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) 1550698364.505 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in (k n) around 0 1550698364.505 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in n 1550698364.505 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.505 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.505 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1550698364.505 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1550698364.505 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.505 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.505 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.505 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.505 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.505 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.505 * [misc]taylor: Taking taylor expansion of k in n 1550698364.505 * [misc]backup-simplify: Simplify k into k 1550698364.505 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.505 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.505 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.505 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.505 * [misc]backup-simplify: Simplify PI into PI 1550698364.506 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.506 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.506 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.506 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550698364.507 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.507 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.507 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698364.507 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698364.507 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.507 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.507 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.507 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.507 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.507 * [misc]taylor: Taking taylor expansion of k in n 1550698364.507 * [misc]backup-simplify: Simplify k into k 1550698364.507 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.507 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698364.507 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698364.507 * [misc]taylor: Taking taylor expansion of n in n 1550698364.507 * [misc]backup-simplify: Simplify 0 into 0 1550698364.507 * [misc]backup-simplify: Simplify 1 into 1 1550698364.507 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.507 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.508 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.508 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.509 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.510 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698364.510 * [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)))) 1550698364.510 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1550698364.510 * [misc]taylor: Taking taylor expansion of k in n 1550698364.510 * [misc]backup-simplify: Simplify k into k 1550698364.510 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1550698364.510 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1550698364.510 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1550698364.510 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1550698364.510 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.510 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1550698364.510 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1550698364.510 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.510 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.510 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.510 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.510 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.510 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.510 * [misc]taylor: Taking taylor expansion of k in k 1550698364.510 * [misc]backup-simplify: Simplify 0 into 0 1550698364.511 * [misc]backup-simplify: Simplify 1 into 1 1550698364.511 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.511 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.511 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.511 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.511 * [misc]backup-simplify: Simplify PI into PI 1550698364.511 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.512 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.512 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.512 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550698364.513 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1550698364.513 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.513 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1550698364.513 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1550698364.513 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.513 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.513 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.513 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.513 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.513 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.513 * [misc]taylor: Taking taylor expansion of k in k 1550698364.513 * [misc]backup-simplify: Simplify 0 into 0 1550698364.513 * [misc]backup-simplify: Simplify 1 into 1 1550698364.513 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.513 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.513 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550698364.513 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550698364.513 * [misc]taylor: Taking taylor expansion of n in k 1550698364.513 * [misc]backup-simplify: Simplify n into n 1550698364.513 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550698364.513 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550698364.514 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.514 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.514 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550698364.514 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1550698364.514 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698364.514 * [misc]taylor: Taking taylor expansion of k in k 1550698364.514 * [misc]backup-simplify: Simplify 0 into 0 1550698364.514 * [misc]backup-simplify: Simplify 1 into 1 1550698364.514 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.515 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698364.515 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1550698364.515 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1550698364.515 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.515 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1550698364.515 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1550698364.515 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.515 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.515 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.515 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.515 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.515 * [misc]taylor: Taking taylor expansion of k in k 1550698364.515 * [misc]backup-simplify: Simplify 0 into 0 1550698364.515 * [misc]backup-simplify: Simplify 1 into 1 1550698364.515 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.515 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.515 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.515 * [misc]backup-simplify: Simplify PI into PI 1550698364.516 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.516 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.516 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.517 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1550698364.517 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1550698364.517 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1550698364.517 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1550698364.517 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1550698364.517 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1550698364.517 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.517 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1550698364.517 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.517 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1550698364.517 * [misc]taylor: Taking taylor expansion of k in k 1550698364.517 * [misc]backup-simplify: Simplify 0 into 0 1550698364.517 * [misc]backup-simplify: Simplify 1 into 1 1550698364.517 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.518 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1550698364.518 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1550698364.518 * [misc]taylor: Taking taylor expansion of n in k 1550698364.518 * [misc]backup-simplify: Simplify n into n 1550698364.518 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1550698364.518 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1550698364.518 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1550698364.518 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1550698364.518 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1550698364.518 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1550698364.518 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1550698364.518 * [misc]taylor: Taking taylor expansion of k in k 1550698364.518 * [misc]backup-simplify: Simplify 0 into 0 1550698364.519 * [misc]backup-simplify: Simplify 1 into 1 1550698364.519 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.519 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1550698364.519 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1550698364.520 * [misc]backup-simplify: Simplify (* (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 0) into 0 1550698364.520 * [misc]taylor: Taking taylor expansion of 0 in n 1550698364.520 * [misc]backup-simplify: Simplify 0 into 0 1550698364.520 * [misc]backup-simplify: Simplify 0 into 0 1550698364.520 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1550698364.520 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1550698364.520 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1550698364.520 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1550698364.520 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.521 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.521 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.521 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.521 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1550698364.521 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1550698364.521 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.521 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.521 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.521 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.521 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.521 * [misc]taylor: Taking taylor expansion of k in n 1550698364.521 * [misc]backup-simplify: Simplify k into k 1550698364.521 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.521 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.521 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.521 * [misc]backup-simplify: Simplify PI into PI 1550698364.521 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.521 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.522 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.522 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550698364.522 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.522 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.522 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698364.522 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698364.522 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.522 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.522 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.522 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.522 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.523 * [misc]taylor: Taking taylor expansion of k in n 1550698364.523 * [misc]backup-simplify: Simplify k into k 1550698364.523 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.523 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.523 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698364.523 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698364.523 * [misc]taylor: Taking taylor expansion of n in n 1550698364.523 * [misc]backup-simplify: Simplify 0 into 0 1550698364.523 * [misc]backup-simplify: Simplify 1 into 1 1550698364.523 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.523 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.523 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.523 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.523 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.524 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698364.524 * [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)))) 1550698364.524 * [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))))) 1550698364.525 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550698364.525 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550698364.525 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550698364.525 * [misc]backup-simplify: Simplify 0 into 0 1550698364.526 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698364.527 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1550698364.527 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1550698364.527 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1550698364.527 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1550698364.527 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.527 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.527 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.528 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.528 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1550698364.528 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1550698364.528 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.528 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.528 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.528 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.528 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.528 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.528 * [misc]taylor: Taking taylor expansion of k in n 1550698364.528 * [misc]backup-simplify: Simplify k into k 1550698364.528 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.528 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.528 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.528 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.528 * [misc]backup-simplify: Simplify PI into PI 1550698364.528 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.528 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.529 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.529 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550698364.529 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.529 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.529 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698364.529 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698364.529 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.529 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.529 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.529 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.529 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.530 * [misc]taylor: Taking taylor expansion of k in n 1550698364.530 * [misc]backup-simplify: Simplify k into k 1550698364.530 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.530 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698364.530 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698364.530 * [misc]taylor: Taking taylor expansion of n in n 1550698364.530 * [misc]backup-simplify: Simplify 0 into 0 1550698364.530 * [misc]backup-simplify: Simplify 1 into 1 1550698364.530 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.530 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.530 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.530 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.530 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.531 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698364.531 * [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)))) 1550698364.531 * [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))))) 1550698364.531 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550698364.532 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550698364.532 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550698364.532 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1550698364.535 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1550698364.535 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698364.535 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698364.535 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.536 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.536 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1550698364.537 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.539 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698364.539 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1550698364.539 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1550698364.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.540 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1550698364.541 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.542 * [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 1550698364.542 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1550698364.542 * [misc]backup-simplify: Simplify (- 0) into 0 1550698364.542 * [misc]backup-simplify: Simplify 0 into 0 1550698364.542 * [misc]backup-simplify: Simplify 0 into 0 1550698364.543 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698364.544 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1550698364.544 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1550698364.544 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1550698364.544 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1550698364.545 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.545 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.545 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1550698364.545 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.545 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1550698364.545 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1550698364.545 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.545 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.545 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.545 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.545 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.545 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.545 * [misc]taylor: Taking taylor expansion of k in n 1550698364.545 * [misc]backup-simplify: Simplify k into k 1550698364.545 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.545 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.545 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.545 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.545 * [misc]backup-simplify: Simplify PI into PI 1550698364.545 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.546 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.546 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.546 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1550698364.546 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1550698364.546 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1550698364.546 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1550698364.546 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1550698364.547 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1550698364.547 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1550698364.547 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1550698364.547 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.547 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1550698364.547 * [misc]taylor: Taking taylor expansion of k in n 1550698364.547 * [misc]backup-simplify: Simplify k into k 1550698364.547 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1550698364.547 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.547 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1550698364.547 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1550698364.547 * [misc]taylor: Taking taylor expansion of n in n 1550698364.547 * [misc]backup-simplify: Simplify 0 into 0 1550698364.547 * [misc]backup-simplify: Simplify 1 into 1 1550698364.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1550698364.547 * [misc]backup-simplify: Simplify (log 1) into 0 1550698364.547 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1550698364.548 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1550698364.548 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1550698364.548 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1550698364.548 * [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)))) 1550698364.548 * [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))))) 1550698364.549 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1550698364.549 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550698364.550 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1550698364.551 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1550698364.552 * [misc]backup-simplify: Simplify (/ (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) (/ (sqrt (/ 1 (- k))) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)))) into (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) 1550698364.552 * [misc]approximate: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1550698364.552 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in n 1550698364.552 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.552 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.552 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in n 1550698364.552 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in n 1550698364.552 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.552 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.552 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.552 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.552 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.552 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.552 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.553 * [misc]backup-simplify: Simplify -1 into -1 1550698364.553 * [misc]taylor: Taking taylor expansion of k in n 1550698364.553 * [misc]backup-simplify: Simplify k into k 1550698364.553 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.553 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.553 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.553 * [misc]backup-simplify: Simplify PI into PI 1550698364.553 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.553 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.553 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.554 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550698364.554 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.554 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.554 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1550698364.554 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1550698364.554 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.554 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.554 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.555 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.555 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.555 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.555 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.555 * [misc]backup-simplify: Simplify -1 into -1 1550698364.555 * [misc]taylor: Taking taylor expansion of k in n 1550698364.555 * [misc]backup-simplify: Simplify k into k 1550698364.555 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.555 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698364.555 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698364.555 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.555 * [misc]backup-simplify: Simplify -1 into -1 1550698364.555 * [misc]taylor: Taking taylor expansion of n in n 1550698364.555 * [misc]backup-simplify: Simplify 0 into 0 1550698364.555 * [misc]backup-simplify: Simplify 1 into 1 1550698364.555 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.555 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698364.555 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.556 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.556 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.556 * [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))) 1550698364.557 * [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)))) 1550698364.557 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1550698364.557 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.557 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.557 * [misc]backup-simplify: Simplify -1 into -1 1550698364.557 * [misc]taylor: Taking taylor expansion of k in n 1550698364.557 * [misc]backup-simplify: Simplify k into k 1550698364.557 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.557 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1550698364.557 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698364.557 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1550698364.558 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1550698364.558 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1550698364.558 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1550698364.558 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in k 1550698364.558 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.558 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1550698364.558 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1550698364.558 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.558 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.558 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.558 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.558 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.558 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.559 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.559 * [misc]backup-simplify: Simplify -1 into -1 1550698364.559 * [misc]taylor: Taking taylor expansion of k in k 1550698364.559 * [misc]backup-simplify: Simplify 0 into 0 1550698364.559 * [misc]backup-simplify: Simplify 1 into 1 1550698364.559 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.559 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.559 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.559 * [misc]backup-simplify: Simplify PI into PI 1550698364.559 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.559 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.559 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.560 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698364.560 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1550698364.560 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.560 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1550698364.560 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1550698364.560 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.560 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.561 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.561 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.561 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.561 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.561 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.561 * [misc]backup-simplify: Simplify -1 into -1 1550698364.561 * [misc]taylor: Taking taylor expansion of k in k 1550698364.561 * [misc]backup-simplify: Simplify 0 into 0 1550698364.561 * [misc]backup-simplify: Simplify 1 into 1 1550698364.561 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.561 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550698364.561 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550698364.561 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.561 * [misc]backup-simplify: Simplify -1 into -1 1550698364.561 * [misc]taylor: Taking taylor expansion of n in k 1550698364.561 * [misc]backup-simplify: Simplify n into n 1550698364.561 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550698364.561 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550698364.561 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.562 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.562 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550698364.562 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1550698364.562 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698364.562 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.562 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.562 * [misc]backup-simplify: Simplify -1 into -1 1550698364.562 * [misc]taylor: Taking taylor expansion of k in k 1550698364.562 * [misc]backup-simplify: Simplify 0 into 0 1550698364.562 * [misc]backup-simplify: Simplify 1 into 1 1550698364.562 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.562 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.563 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698364.563 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) 1550698364.564 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))))) 1550698364.564 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1550698364.564 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in k 1550698364.564 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.564 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1550698364.564 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1550698364.564 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.564 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.564 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.564 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.564 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.564 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.564 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.564 * [misc]backup-simplify: Simplify -1 into -1 1550698364.564 * [misc]taylor: Taking taylor expansion of k in k 1550698364.564 * [misc]backup-simplify: Simplify 0 into 0 1550698364.564 * [misc]backup-simplify: Simplify 1 into 1 1550698364.565 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.565 * [misc]taylor: Taking taylor expansion of (log PI) in k 1550698364.565 * [misc]taylor: Taking taylor expansion of PI in k 1550698364.565 * [misc]backup-simplify: Simplify PI into PI 1550698364.565 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.565 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.565 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.566 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1550698364.566 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1550698364.566 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1550698364.566 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1550698364.566 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1550698364.566 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1550698364.567 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.567 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1550698364.567 * [misc]taylor: Taking taylor expansion of -1/2 in k 1550698364.567 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.567 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.567 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.567 * [misc]backup-simplify: Simplify -1 into -1 1550698364.567 * [misc]taylor: Taking taylor expansion of k in k 1550698364.567 * [misc]backup-simplify: Simplify 0 into 0 1550698364.567 * [misc]backup-simplify: Simplify 1 into 1 1550698364.567 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.567 * [misc]taylor: Taking taylor expansion of 1/2 in k 1550698364.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.567 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1550698364.567 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1550698364.567 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.567 * [misc]backup-simplify: Simplify -1 into -1 1550698364.567 * [misc]taylor: Taking taylor expansion of n in k 1550698364.567 * [misc]backup-simplify: Simplify n into n 1550698364.567 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1550698364.567 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1550698364.568 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1550698364.568 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1550698364.568 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1550698364.568 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1550698364.568 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1550698364.568 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1550698364.568 * [misc]taylor: Taking taylor expansion of -1 in k 1550698364.568 * [misc]backup-simplify: Simplify -1 into -1 1550698364.568 * [misc]taylor: Taking taylor expansion of k in k 1550698364.568 * [misc]backup-simplify: Simplify 0 into 0 1550698364.568 * [misc]backup-simplify: Simplify 1 into 1 1550698364.568 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.569 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1550698364.569 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1550698364.570 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) 1550698364.570 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))))) 1550698364.570 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1550698364.571 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.571 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.571 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1550698364.571 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.571 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.571 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698364.571 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698364.571 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.571 * [misc]backup-simplify: Simplify -1 into -1 1550698364.571 * [misc]taylor: Taking taylor expansion of n in n 1550698364.571 * [misc]backup-simplify: Simplify 0 into 0 1550698364.571 * [misc]backup-simplify: Simplify 1 into 1 1550698364.571 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.571 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698364.571 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.571 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.571 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.571 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.571 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.571 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.571 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.571 * [misc]backup-simplify: Simplify -1 into -1 1550698364.571 * [misc]taylor: Taking taylor expansion of k in n 1550698364.571 * [misc]backup-simplify: Simplify k into k 1550698364.572 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.572 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.572 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.572 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.572 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1550698364.573 * [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)))) 1550698364.573 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.573 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.573 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.573 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.573 * [misc]backup-simplify: Simplify PI into PI 1550698364.573 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.573 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.573 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.573 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.573 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.573 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.573 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.573 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.573 * [misc]backup-simplify: Simplify -1 into -1 1550698364.573 * [misc]taylor: Taking taylor expansion of k in n 1550698364.573 * [misc]backup-simplify: Simplify k into k 1550698364.573 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.574 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.574 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.574 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.574 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550698364.574 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.575 * [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))) 1550698364.575 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550698364.576 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550698364.576 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))) into 0 1550698364.577 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550698364.578 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1550698364.579 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))))) 1550698364.579 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))))) in n 1550698364.579 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1550698364.579 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.579 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.579 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1550698364.579 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.579 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.579 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698364.579 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698364.579 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.579 * [misc]backup-simplify: Simplify -1 into -1 1550698364.579 * [misc]taylor: Taking taylor expansion of n in n 1550698364.579 * [misc]backup-simplify: Simplify 0 into 0 1550698364.579 * [misc]backup-simplify: Simplify 1 into 1 1550698364.579 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.579 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698364.579 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.579 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.579 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.579 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.580 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.580 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.580 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.580 * [misc]backup-simplify: Simplify -1 into -1 1550698364.580 * [misc]taylor: Taking taylor expansion of k in n 1550698364.580 * [misc]backup-simplify: Simplify k into k 1550698364.580 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.580 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.580 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.580 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.580 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.581 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1550698364.581 * [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)))) 1550698364.581 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.581 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.581 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.581 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.581 * [misc]backup-simplify: Simplify PI into PI 1550698364.581 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.581 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.581 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.581 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.582 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.582 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.582 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.582 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.582 * [misc]backup-simplify: Simplify -1 into -1 1550698364.582 * [misc]taylor: Taking taylor expansion of k in n 1550698364.582 * [misc]backup-simplify: Simplify k into k 1550698364.582 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.582 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.582 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.582 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.582 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550698364.583 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.583 * [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))) 1550698364.584 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550698364.584 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550698364.585 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550698364.585 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698364.585 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698364.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.588 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1550698364.588 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1550698364.590 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.591 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1550698364.591 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1550698364.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1550698364.591 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1550698364.594 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1550698364.594 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1550698364.595 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1550698364.596 * [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 1550698364.596 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1550698364.596 * [misc]backup-simplify: Simplify 0 into 0 1550698364.597 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1550698364.597 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1550698364.599 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1550698364.600 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))))) 1550698364.600 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))))) in n 1550698364.600 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1550698364.600 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1550698364.600 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1550698364.600 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1550698364.600 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.600 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.600 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1550698364.601 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1550698364.601 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.601 * [misc]backup-simplify: Simplify -1 into -1 1550698364.601 * [misc]taylor: Taking taylor expansion of n in n 1550698364.601 * [misc]backup-simplify: Simplify 0 into 0 1550698364.601 * [misc]backup-simplify: Simplify 1 into 1 1550698364.601 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1550698364.601 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1550698364.601 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.601 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.601 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.601 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.601 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.601 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.601 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.601 * [misc]backup-simplify: Simplify -1 into -1 1550698364.601 * [misc]taylor: Taking taylor expansion of k in n 1550698364.601 * [misc]backup-simplify: Simplify k into k 1550698364.601 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.601 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.601 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.602 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1550698364.602 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.602 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.602 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1550698364.603 * [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)))) 1550698364.603 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1550698364.603 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1550698364.603 * [misc]taylor: Taking taylor expansion of (log PI) in n 1550698364.603 * [misc]taylor: Taking taylor expansion of PI in n 1550698364.603 * [misc]backup-simplify: Simplify PI into PI 1550698364.603 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1550698364.603 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1550698364.603 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1550698364.603 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1550698364.603 * [misc]taylor: Taking taylor expansion of -1/2 in n 1550698364.603 * [misc]backup-simplify: Simplify -1/2 into -1/2 1550698364.603 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1550698364.603 * [misc]taylor: Taking taylor expansion of -1 in n 1550698364.603 * [misc]backup-simplify: Simplify -1 into -1 1550698364.603 * [misc]taylor: Taking taylor expansion of k in n 1550698364.603 * [misc]backup-simplify: Simplify k into k 1550698364.603 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1550698364.603 * [misc]taylor: Taking taylor expansion of 1/2 in n 1550698364.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1550698364.603 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1550698364.604 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1550698364.604 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1550698364.604 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1550698364.605 * [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))) 1550698364.605 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1550698364.606 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550698364.606 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1550698364.608 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))))))))) 1550698364.609 * * * [misc]progress: simplifying candidates 1550698364.609 * * * * [misc]progress: [ 1 / 250 ] simplifiying candidate # 1550698364.609 * * * * [misc]progress: [ 2 / 250 ] simplifiying candidate # 1550698364.609 * * * * [misc]progress: [ 3 / 250 ] simplifiying candidate # 1550698364.609 * * * * [misc]progress: [ 4 / 250 ] simplifiying candidate # 1550698364.609 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1550698364.609 * * [misc]simplify: iters left: 2 (5 enodes) 1550698364.612 * * [misc]simplify: iters left: 1 (17 enodes) 1550698364.618 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698364.618 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698364.618 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698364.618 * * [misc]simplify: Extracting #3: cost 6 inf + 3 1550698364.618 * * [misc]simplify: Extracting #4: cost 0 inf + 479 1550698364.619 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1550698364.619 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))))))) 1550698364.619 * * * * [misc]progress: [ 5 / 250 ] simplifiying candidate # 1550698364.619 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1550698364.619 * * [misc]simplify: iters left: 2 (5 enodes) 1550698364.622 * * [misc]simplify: iters left: 1 (17 enodes) 1550698364.628 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698364.628 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698364.628 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698364.628 * * [misc]simplify: Extracting #3: cost 6 inf + 3 1550698364.628 * * [misc]simplify: Extracting #4: cost 0 inf + 399 1550698364.628 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1550698364.629 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))))))) 1550698364.629 * * * * [misc]progress: [ 6 / 250 ] simplifiying candidate # 1550698364.629 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1550698364.629 * * [misc]simplify: iters left: 1 (4 enodes) 1550698364.632 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698364.632 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698364.632 * * [misc]simplify: Extracting #2: cost 3 inf + 3 1550698364.632 * * [misc]simplify: Extracting #3: cost 1 inf + 103 1550698364.632 * * [misc]simplify: Extracting #4: cost 0 inf + 161 1550698364.632 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1550698364.632 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow (pow n 1) (fma -1/2 k 1/2)))))) 1550698364.632 * * * * [misc]progress: [ 7 / 250 ] simplifiying candidate # 1550698364.633 * [enter]simplify: Simplifying (pow n 1/2) 1550698364.633 * * [misc]simplify: iters left: 1 (3 enodes) 1550698364.634 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698364.635 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698364.635 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550698364.635 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1550698364.635 * [exit]simplify: Simplified to (sqrt n) 1550698364.635 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (* (pow n (* -1/2 k)) (sqrt n)))))) 1550698364.635 * * * * [misc]progress: [ 8 / 250 ] simplifiying candidate # 1550698364.635 * * * * [misc]progress: [ 9 / 250 ] simplifiying candidate # 1550698364.635 * * * * [misc]progress: [ 10 / 250 ] simplifiying candidate # 1550698364.635 * * * * [misc]progress: [ 11 / 250 ] simplifiying candidate # 1550698364.635 * * * * [misc]progress: [ 12 / 250 ] simplifiying candidate # 1550698364.635 * * * * [misc]progress: [ 13 / 250 ] simplifiying candidate # 1550698364.635 * * * * [misc]progress: [ 14 / 250 ] simplifiying candidate # 1550698364.635 * * * * [misc]progress: [ 15 / 250 ] simplifiying candidate #real (real->posit16 (pow n (fma -1/2 k 1/2))))))))> 1550698364.635 * * * * [misc]progress: [ 16 / 250 ] simplifiying candidate # 1550698364.636 * * * * [misc]progress: [ 17 / 250 ] simplifiying candidate # 1550698364.636 * * * * [misc]progress: [ 18 / 250 ] simplifiying candidate # 1550698364.636 * * * * [misc]progress: [ 19 / 250 ] simplifiying candidate # 1550698364.636 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1550698364.636 * * [misc]simplify: iters left: 2 (5 enodes) 1550698364.639 * * [misc]simplify: iters left: 1 (17 enodes) 1550698364.643 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698364.643 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698364.643 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698364.643 * * [misc]simplify: Extracting #3: cost 6 inf + 3 1550698364.644 * * [misc]simplify: Extracting #4: cost 0 inf + 479 1550698364.644 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1550698364.644 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (pow PI (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698364.644 * * * * [misc]progress: [ 20 / 250 ] simplifiying candidate # 1550698364.644 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1550698364.644 * * [misc]simplify: iters left: 2 (5 enodes) 1550698364.647 * * [misc]simplify: iters left: 1 (17 enodes) 1550698364.657 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698364.658 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698364.658 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698364.658 * * [misc]simplify: Extracting #3: cost 6 inf + 3 1550698364.658 * * [misc]simplify: Extracting #4: cost 0 inf + 399 1550698364.658 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1550698364.658 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (pow PI (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698364.658 * * * * [misc]progress: [ 21 / 250 ] simplifiying candidate # 1550698364.659 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1550698364.659 * * [misc]simplify: iters left: 1 (4 enodes) 1550698364.661 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698364.662 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698364.662 * * [misc]simplify: Extracting #2: cost 3 inf + 3 1550698364.662 * * [misc]simplify: Extracting #3: cost 1 inf + 103 1550698364.662 * * [misc]simplify: Extracting #4: cost 0 inf + 161 1550698364.662 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1550698364.662 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow (pow PI 1) (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698364.662 * * * * [misc]progress: [ 22 / 250 ] simplifiying candidate # 1550698364.662 * [enter]simplify: Simplifying (pow PI 1/2) 1550698364.663 * * [misc]simplify: iters left: 1 (3 enodes) 1550698364.664 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698364.664 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698364.665 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1550698364.665 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1550698364.665 * [exit]simplify: Simplified to (sqrt PI) 1550698364.665 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (* (pow PI (* -1/2 k)) (sqrt PI)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698364.665 * * * * [misc]progress: [ 23 / 250 ] simplifiying candidate # 1550698364.665 * * * * [misc]progress: [ 24 / 250 ] simplifiying candidate # 1550698364.665 * * * * [misc]progress: [ 25 / 250 ] simplifiying candidate # 1550698364.665 * * * * [misc]progress: [ 26 / 250 ] simplifiying candidate # 1550698364.665 * * * * [misc]progress: [ 27 / 250 ] simplifiying candidate # 1550698364.665 * * * * [misc]progress: [ 28 / 250 ] simplifiying candidate # 1550698364.665 * * * * [misc]progress: [ 29 / 250 ] simplifiying candidate # 1550698364.665 * * * * [misc]progress: [ 30 / 250 ] simplifiying candidate #real (real->posit16 (pow PI (fma -1/2 k 1/2)))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))> 1550698364.666 * * * * [misc]progress: [ 31 / 250 ] simplifiying candidate # 1550698364.666 * * * * [misc]progress: [ 32 / 250 ] simplifiying candidate # 1550698364.666 * * * * [misc]progress: [ 33 / 250 ] simplifiying candidate # 1550698364.666 * * * * [misc]progress: [ 34 / 250 ] simplifiying candidate # 1550698364.666 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (- (* (log PI) (fma -1/2 k 1/2)) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2))))) 1550698364.666 * * [misc]simplify: iters left: 6 (18 enodes) 1550698364.676 * * [misc]simplify: iters left: 5 (70 enodes) 1550698364.704 * * [misc]simplify: iters left: 4 (135 enodes) 1550698364.770 * * [misc]simplify: iters left: 3 (390 enodes) 1550698365.482 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698365.483 * * [misc]simplify: Extracting #1: cost 98 inf + 0 1550698365.485 * * [misc]simplify: Extracting #2: cost 295 inf + 44 1550698365.487 * * [misc]simplify: Extracting #3: cost 282 inf + 4603 1550698365.671 * * [misc]simplify: Extracting #4: cost 144 inf + 47629 1550698365.748 * * [misc]simplify: Extracting #5: cost 17 inf + 96880 1550698365.790 * * [misc]simplify: Extracting #6: cost 0 inf + 103820 1550698365.832 * * [misc]simplify: Extracting #7: cost 0 inf + 103760 1550698365.958 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log n) (log 2)) (- (* (log PI) (fma -1/2 k 1/2)) (log (sqrt k)))) 1550698365.958 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log n) (log 2)) (- (* (log PI) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1550698365.958 * * * * [misc]progress: [ 35 / 250 ] simplifiying candidate # 1550698365.959 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (- (* (log PI) (fma -1/2 k 1/2)) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2)))))) 1550698365.959 * * [misc]simplify: iters left: 6 (18 enodes) 1550698366.088 * * [misc]simplify: iters left: 5 (71 enodes) 1550698366.106 * * [misc]simplify: iters left: 4 (131 enodes) 1550698366.177 * * [misc]simplify: iters left: 3 (336 enodes) 1550698366.676 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698366.677 * * [misc]simplify: Extracting #1: cost 94 inf + 0 1550698366.678 * * [misc]simplify: Extracting #2: cost 263 inf + 44 1550698366.683 * * [misc]simplify: Extracting #3: cost 223 inf + 12511 1550698366.710 * * [misc]simplify: Extracting #4: cost 42 inf + 75208 1550698366.780 * * [misc]simplify: Extracting #5: cost 1 inf + 87941 1550698366.821 * * [misc]simplify: Extracting #6: cost 0 inf + 88046 1550698366.857 * * [misc]simplify: Extracting #7: cost 0 inf + 88031 1550698366.892 * [exit]simplify: Simplified to (fma (log PI) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (+ (log 2) (log n))) (log (sqrt k)))) 1550698366.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log PI) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (+ (log 2) (log n))) (log (sqrt k)))))) 1550698366.892 * * * * [misc]progress: [ 36 / 250 ] simplifiying candidate # 1550698366.893 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (- (* (log PI) (fma -1/2 k 1/2)) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698366.893 * * [misc]simplify: iters left: 6 (17 enodes) 1550698366.904 * * [misc]simplify: iters left: 5 (65 enodes) 1550698366.967 * * [misc]simplify: iters left: 4 (110 enodes) 1550698367.066 * * [misc]simplify: iters left: 3 (267 enodes) 1550698367.197 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698367.197 * * [misc]simplify: Extracting #1: cost 70 inf + 0 1550698367.198 * * [misc]simplify: Extracting #2: cost 195 inf + 44 1550698367.203 * * [misc]simplify: Extracting #3: cost 153 inf + 14259 1550698367.223 * * [misc]simplify: Extracting #4: cost 18 inf + 66231 1550698367.250 * * [misc]simplify: Extracting #5: cost 0 inf + 67392 1550698367.281 * * [misc]simplify: Extracting #6: cost 0 inf + 66482 1550698367.307 * * [misc]simplify: Extracting #7: cost 0 inf + 66452 1550698367.332 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log n) (- (* (fma -1/2 k 1/2) (+ (log 2) (log PI))) (log (sqrt k)))) 1550698367.332 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (log n) (- (* (fma -1/2 k 1/2) (+ (log 2) (log PI))) (log (sqrt k)))))) 1550698367.333 * * * * [misc]progress: [ 37 / 250 ] simplifiying candidate # 1550698367.333 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (- (log (pow PI (fma -1/2 k 1/2))) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2))))) 1550698367.333 * * [misc]simplify: iters left: 6 (18 enodes) 1550698367.343 * * [misc]simplify: iters left: 5 (70 enodes) 1550698367.368 * * [misc]simplify: iters left: 4 (131 enodes) 1550698367.608 * * [misc]simplify: iters left: 3 (343 enodes) 1550698368.126 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698368.128 * * [misc]simplify: Extracting #1: cost 81 inf + 0 1550698368.130 * * [misc]simplify: Extracting #2: cost 258 inf + 44 1550698368.134 * * [misc]simplify: Extracting #3: cost 230 inf + 8418 1550698368.151 * * [misc]simplify: Extracting #4: cost 37 inf + 74628 1550698368.183 * * [misc]simplify: Extracting #5: cost 0 inf + 87122 1550698368.217 * * [misc]simplify: Extracting #6: cost 0 inf + 86932 1550698368.252 * [exit]simplify: Simplified to (fma (log PI) (fma -1/2 k 1/2) (- (* (+ (log n) (log 2)) (fma -1/2 k 1/2)) (log (sqrt k)))) 1550698368.252 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log PI) (fma -1/2 k 1/2) (- (* (+ (log n) (log 2)) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1550698368.253 * * * * [misc]progress: [ 38 / 250 ] simplifiying candidate # 1550698368.253 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (- (log (pow PI (fma -1/2 k 1/2))) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2)))))) 1550698368.253 * * [misc]simplify: iters left: 6 (18 enodes) 1550698368.392 * * [misc]simplify: iters left: 5 (71 enodes) 1550698368.438 * * [misc]simplify: iters left: 4 (127 enodes) 1550698368.530 * * [misc]simplify: iters left: 3 (285 enodes) 1550698369.063 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698369.063 * * [misc]simplify: Extracting #1: cost 72 inf + 0 1550698369.065 * * [misc]simplify: Extracting #2: cost 235 inf + 2 1550698369.068 * * [misc]simplify: Extracting #3: cost 197 inf + 9830 1550698369.089 * * [misc]simplify: Extracting #4: cost 48 inf + 62086 1550698369.118 * * [misc]simplify: Extracting #5: cost 0 inf + 74794 1550698369.147 * * [misc]simplify: Extracting #6: cost 0 inf + 74449 1550698369.177 * * [misc]simplify: Extracting #7: cost 0 inf + 74434 1550698369.246 * [exit]simplify: Simplified to (fma (log 2) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (+ (log n) (log PI))) (log (sqrt k)))) 1550698369.246 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log 2) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (+ (log n) (log PI))) (log (sqrt k)))))) 1550698369.251 * * * * [misc]progress: [ 39 / 250 ] simplifiying candidate # 1550698369.255 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (- (log (pow PI (fma -1/2 k 1/2))) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698369.255 * * [misc]simplify: iters left: 6 (17 enodes) 1550698369.267 * * [misc]simplify: iters left: 5 (65 enodes) 1550698369.297 * * [misc]simplify: iters left: 4 (107 enodes) 1550698369.341 * * [misc]simplify: iters left: 3 (220 enodes) 1550698369.766 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698369.767 * * [misc]simplify: Extracting #1: cost 54 inf + 0 1550698369.768 * * [misc]simplify: Extracting #2: cost 167 inf + 2 1550698369.769 * * [misc]simplify: Extracting #3: cost 157 inf + 1657 1550698369.774 * * [misc]simplify: Extracting #4: cost 97 inf + 15453 1550698369.783 * * [misc]simplify: Extracting #5: cost 14 inf + 46524 1550698369.801 * * [misc]simplify: Extracting #6: cost 0 inf + 53136 1550698369.824 * * [misc]simplify: Extracting #7: cost 0 inf + 53091 1550698369.842 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log n) (- (* (+ (log 2) (log PI)) (fma -1/2 k 1/2)) (log (sqrt k)))) 1550698369.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (log n) (- (* (+ (log 2) (log PI)) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1550698369.844 * * * * [misc]progress: [ 40 / 250 ] simplifiying candidate # 1550698369.845 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (log (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698369.845 * * [misc]simplify: iters left: 6 (16 enodes) 1550698369.884 * * [misc]simplify: iters left: 5 (58 enodes) 1550698369.916 * * [misc]simplify: iters left: 4 (91 enodes) 1550698369.952 * * [misc]simplify: iters left: 3 (177 enodes) 1550698370.152 * * [misc]simplify: iters left: 2 (384 enodes) 1550698370.362 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698370.362 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1550698370.364 * * [misc]simplify: Extracting #2: cost 212 inf + 44 1550698370.366 * * [misc]simplify: Extracting #3: cost 202 inf + 3758 1550698370.373 * * [misc]simplify: Extracting #4: cost 137 inf + 21367 1550698370.399 * * [misc]simplify: Extracting #5: cost 54 inf + 54973 1550698370.428 * * [misc]simplify: Extracting #6: cost 0 inf + 72840 1550698370.458 * * [misc]simplify: Extracting #7: cost 0 inf + 69515 1550698370.487 * * [misc]simplify: Extracting #8: cost 0 inf + 69455 1550698370.517 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log 2) (log n)) (- (* (fma -1/2 k 1/2) (log PI)) (log (sqrt k)))) 1550698370.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log 2) (log n)) (- (* (fma -1/2 k 1/2) (log PI)) (log (sqrt k)))))) 1550698370.517 * * * * [misc]progress: [ 41 / 250 ] simplifiying candidate # 1550698370.518 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (- (* (log PI) (fma -1/2 k 1/2)) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2))))) 1550698370.518 * * [misc]simplify: iters left: 6 (18 enodes) 1550698370.524 * * [misc]simplify: iters left: 5 (70 enodes) 1550698370.549 * * [misc]simplify: iters left: 4 (131 enodes) 1550698370.600 * * [misc]simplify: iters left: 3 (347 enodes) 1550698371.206 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698371.206 * * [misc]simplify: Extracting #1: cost 81 inf + 0 1550698371.208 * * [misc]simplify: Extracting #2: cost 248 inf + 2 1550698371.223 * * [misc]simplify: Extracting #3: cost 224 inf + 8675 1550698371.244 * * [misc]simplify: Extracting #4: cost 63 inf + 60908 1550698371.347 * * [misc]simplify: Extracting #5: cost 3 inf + 80405 1550698371.453 * * [misc]simplify: Extracting #6: cost 0 inf + 81506 1550698371.492 * * [misc]simplify: Extracting #7: cost 0 inf + 81476 1550698371.528 * [exit]simplify: Simplified to (- (fma (fma k -1/2 1/2) (+ (log PI) (log 2)) (* (fma k -1/2 1/2) (log n))) (log (sqrt k))) 1550698371.532 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma k -1/2 1/2) (+ (log PI) (log 2)) (* (fma k -1/2 1/2) (log n))) (log (sqrt k))))) 1550698371.545 * * * * [misc]progress: [ 42 / 250 ] simplifiying candidate # 1550698371.545 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (- (* (log PI) (fma -1/2 k 1/2)) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2)))))) 1550698371.552 * * [misc]simplify: iters left: 6 (18 enodes) 1550698371.581 * * [misc]simplify: iters left: 5 (71 enodes) 1550698371.622 * * [misc]simplify: iters left: 4 (127 enodes) 1550698371.852 * * [misc]simplify: iters left: 3 (287 enodes) 1550698372.542 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698372.543 * * [misc]simplify: Extracting #1: cost 73 inf + 0 1550698372.545 * * [misc]simplify: Extracting #2: cost 226 inf + 2 1550698372.547 * * [misc]simplify: Extracting #3: cost 188 inf + 10814 1550698372.565 * * [misc]simplify: Extracting #4: cost 42 inf + 61537 1550698372.592 * * [misc]simplify: Extracting #5: cost 0 inf + 71166 1550698372.621 * * [misc]simplify: Extracting #6: cost 0 inf + 69766 1550698372.646 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log n) (log 2)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))) 1550698372.646 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (log n) (log 2)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))))) 1550698372.649 * * * * [misc]progress: [ 43 / 250 ] simplifiying candidate # 1550698372.651 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (- (* (log PI) (fma -1/2 k 1/2)) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698372.651 * * [misc]simplify: iters left: 6 (17 enodes) 1550698372.677 * * [misc]simplify: iters left: 5 (65 enodes) 1550698372.868 * * [misc]simplify: iters left: 4 (106 enodes) 1550698372.938 * * [misc]simplify: iters left: 3 (228 enodes) 1550698374.611 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698374.611 * * [misc]simplify: Extracting #1: cost 62 inf + 0 1550698374.612 * * [misc]simplify: Extracting #2: cost 175 inf + 2 1550698374.614 * * [misc]simplify: Extracting #3: cost 163 inf + 1976 1550698374.623 * * [misc]simplify: Extracting #4: cost 71 inf + 28620 1550698374.644 * * [misc]simplify: Extracting #5: cost 1 inf + 55679 1550698374.666 * * [misc]simplify: Extracting #6: cost 0 inf + 55845 1550698374.688 * * [misc]simplify: Extracting #7: cost 0 inf + 55780 1550698374.722 * [exit]simplify: Simplified to (fma (log n) (fma k -1/2 1/2) (- (* (fma k -1/2 1/2) (+ (log PI) (log 2))) (log (sqrt k)))) 1550698374.722 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log n) (fma k -1/2 1/2) (- (* (fma k -1/2 1/2) (+ (log PI) (log 2))) (log (sqrt k)))))) 1550698374.723 * * * * [misc]progress: [ 44 / 250 ] simplifiying candidate # 1550698374.723 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (- (log (pow PI (fma -1/2 k 1/2))) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2))))) 1550698374.723 * * [misc]simplify: iters left: 6 (18 enodes) 1550698374.734 * * [misc]simplify: iters left: 5 (70 enodes) 1550698374.758 * * [misc]simplify: iters left: 4 (127 enodes) 1550698374.813 * * [misc]simplify: iters left: 3 (296 enodes) 1550698375.247 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698375.247 * * [misc]simplify: Extracting #1: cost 67 inf + 0 1550698375.248 * * [misc]simplify: Extracting #2: cost 226 inf + 0 1550698375.252 * * [misc]simplify: Extracting #3: cost 194 inf + 10939 1550698375.270 * * [misc]simplify: Extracting #4: cost 21 inf + 70109 1550698375.296 * * [misc]simplify: Extracting #5: cost 0 inf + 72790 1550698375.324 * * [misc]simplify: Extracting #6: cost 0 inf + 72520 1550698375.358 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (log PI) (- (* (fma k -1/2 1/2) (+ (log 2) (log n))) (log (sqrt k)))) 1550698375.359 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (log PI) (- (* (fma k -1/2 1/2) (+ (log 2) (log n))) (log (sqrt k)))))) 1550698375.359 * * * * [misc]progress: [ 45 / 250 ] simplifiying candidate # 1550698375.359 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (- (log (pow PI (fma -1/2 k 1/2))) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2)))))) 1550698375.359 * * [misc]simplify: iters left: 6 (18 enodes) 1550698375.367 * * [misc]simplify: iters left: 5 (71 enodes) 1550698375.383 * * [misc]simplify: iters left: 4 (123 enodes) 1550698375.431 * * [misc]simplify: iters left: 3 (239 enodes) 1550698375.602 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698375.602 * * [misc]simplify: Extracting #1: cost 56 inf + 0 1550698375.603 * * [misc]simplify: Extracting #2: cost 201 inf + 0 1550698375.606 * * [misc]simplify: Extracting #3: cost 177 inf + 7015 1550698375.620 * * [misc]simplify: Extracting #4: cost 52 inf + 45082 1550698375.640 * * [misc]simplify: Extracting #5: cost 0 inf + 60478 1550698375.661 * * [misc]simplify: Extracting #6: cost 0 inf + 59663 1550698375.686 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))) 1550698375.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))))) 1550698375.686 * * * * [misc]progress: [ 46 / 250 ] simplifiying candidate # 1550698375.686 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (- (log (pow PI (fma -1/2 k 1/2))) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698375.686 * * [misc]simplify: iters left: 6 (17 enodes) 1550698375.696 * * [misc]simplify: iters left: 5 (65 enodes) 1550698375.718 * * [misc]simplify: iters left: 4 (103 enodes) 1550698375.754 * * [misc]simplify: iters left: 3 (182 enodes) 1550698375.847 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698375.847 * * [misc]simplify: Extracting #1: cost 44 inf + 0 1550698375.848 * * [misc]simplify: Extracting #2: cost 152 inf + 0 1550698375.849 * * [misc]simplify: Extracting #3: cost 144 inf + 1617 1550698375.855 * * [misc]simplify: Extracting #4: cost 62 inf + 23906 1550698375.871 * * [misc]simplify: Extracting #5: cost 3 inf + 45874 1550698375.889 * * [misc]simplify: Extracting #6: cost 0 inf + 46384 1550698375.903 * * [misc]simplify: Extracting #7: cost 0 inf + 46344 1550698375.917 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (log n) (- (* (+ (log PI) (log 2)) (fma k -1/2 1/2)) (log (sqrt k)))) 1550698375.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (log n) (- (* (+ (log PI) (log 2)) (fma k -1/2 1/2)) (log (sqrt k)))))) 1550698375.917 * * * * [misc]progress: [ 47 / 250 ] simplifiying candidate # 1550698375.917 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (log (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698375.918 * * [misc]simplify: iters left: 6 (16 enodes) 1550698375.925 * * [misc]simplify: iters left: 5 (58 enodes) 1550698375.939 * * [misc]simplify: iters left: 4 (88 enodes) 1550698375.965 * * [misc]simplify: iters left: 3 (147 enodes) 1550698376.028 * * [misc]simplify: iters left: 2 (333 enodes) 1550698376.207 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698376.207 * * [misc]simplify: Extracting #1: cost 75 inf + 0 1550698376.209 * * [misc]simplify: Extracting #2: cost 246 inf + 3 1550698376.211 * * [misc]simplify: Extracting #3: cost 242 inf + 6911 1550698376.224 * * [misc]simplify: Extracting #4: cost 106 inf + 55738 1550698376.251 * * [misc]simplify: Extracting #5: cost 0 inf + 86825 1550698376.280 * * [misc]simplify: Extracting #6: cost 0 inf + 83205 1550698376.308 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (log 2) (- (* (fma k -1/2 1/2) (+ (log n) (log PI))) (log (sqrt k)))) 1550698376.309 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (log 2) (- (* (fma k -1/2 1/2) (+ (log n) (log PI))) (log (sqrt k)))))) 1550698376.309 * * * * [misc]progress: [ 48 / 250 ] simplifiying candidate # 1550698376.309 * * * * [misc]progress: [ 49 / 250 ] simplifiying candidate # 1550698376.309 * * * * [misc]progress: [ 50 / 250 ] simplifiying candidate # 1550698376.309 * [enter]simplify: Simplifying (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (/ (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))))) 1550698376.310 * * [misc]simplify: iters left: 6 (22 enodes) 1550698376.320 * * [misc]simplify: iters left: 5 (86 enodes) 1550698376.363 * * [misc]simplify: iters left: 4 (230 enodes) 1550698376.535 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698376.535 * * [misc]simplify: Extracting #1: cost 140 inf + 0 1550698376.538 * * [misc]simplify: Extracting #2: cost 399 inf + 1 1550698376.542 * * [misc]simplify: Extracting #3: cost 410 inf + 168 1550698376.559 * * [misc]simplify: Extracting #4: cost 255 inf + 92630 1550698376.612 * * [misc]simplify: Extracting #5: cost 45 inf + 243377 1550698376.687 * * [misc]simplify: Extracting #6: cost 0 inf + 273859 1550698376.765 * * [misc]simplify: Extracting #7: cost 0 inf + 273728 1550698376.842 * [exit]simplify: Simplified to (/ (* (* (* (pow PI (fma k -1/2 1/2)) (* (pow PI (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) (* (pow 2 (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))))) (/ (pow n (fma k -1/2 1/2)) (/ (/ (sqrt k) (pow n (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))))) k) 1550698376.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow PI (fma k -1/2 1/2)) (* (pow PI (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) (* (pow 2 (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))))) (/ (pow n (fma k -1/2 1/2)) (/ (/ (sqrt k) (pow n (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))))) k))) 1550698376.842 * * * * [misc]progress: [ 51 / 250 ] simplifiying candidate # 1550698376.842 * [enter]simplify: Simplifying (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (/ (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2))) (* (* (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698376.843 * * [misc]simplify: iters left: 6 (20 enodes) 1550698376.854 * * [misc]simplify: iters left: 5 (83 enodes) 1550698376.895 * * [misc]simplify: iters left: 4 (216 enodes) 1550698377.244 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698377.245 * * [misc]simplify: Extracting #1: cost 81 inf + 0 1550698377.246 * * [misc]simplify: Extracting #2: cost 264 inf + 0 1550698377.248 * * [misc]simplify: Extracting #3: cost 274 inf + 46 1550698377.255 * * [misc]simplify: Extracting #4: cost 216 inf + 31611 1550698377.301 * * [misc]simplify: Extracting #5: cost 29 inf + 168970 1550698377.424 * * [misc]simplify: Extracting #6: cost 0 inf + 191066 1550698377.496 * * [misc]simplify: Extracting #7: cost 0 inf + 190906 1550698377.552 * [exit]simplify: Simplified to (* (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (* (* (pow 2 (fma k -1/2 1/2)) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (* (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2)))) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698377.554 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (* (* (pow 2 (fma k -1/2 1/2)) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (* (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2)))) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2))))))))) 1550698377.560 * * * * [misc]progress: [ 52 / 250 ] simplifiying candidate # 1550698377.567 * [enter]simplify: Simplifying (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698377.568 * * [misc]simplify: iters left: 6 (18 enodes) 1550698377.583 * * [misc]simplify: iters left: 5 (71 enodes) 1550698377.610 * * [misc]simplify: iters left: 4 (161 enodes) 1550698377.853 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698377.853 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1550698377.854 * * [misc]simplify: Extracting #2: cost 171 inf + 0 1550698377.855 * * [misc]simplify: Extracting #3: cost 183 inf + 4 1550698377.860 * * [misc]simplify: Extracting #4: cost 139 inf + 21181 1550698377.888 * * [misc]simplify: Extracting #5: cost 21 inf + 108882 1550698377.924 * * [misc]simplify: Extracting #6: cost 0 inf + 125843 1550698377.963 * * [misc]simplify: Extracting #7: cost 0 inf + 125683 1550698377.999 * [exit]simplify: Simplified to (* (* (* (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2)))) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (* (pow 2 (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))))) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698377.999 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2)))) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (* (pow 2 (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))))) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698378.000 * * * * [misc]progress: [ 53 / 250 ] simplifiying candidate # 1550698378.000 * * * * [misc]progress: [ 54 / 250 ] simplifiying candidate # 1550698378.000 * * * * [misc]progress: [ 55 / 250 ] simplifiying candidate # 1550698378.000 * * * * [misc]progress: [ 56 / 250 ] simplifiying candidate # 1550698378.000 * * * * [misc]progress: [ 57 / 250 ] simplifiying candidate # 1550698378.000 * [enter]simplify: Simplifying (cbrt (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698378.001 * * [misc]simplify: iters left: 6 (12 enodes) 1550698378.007 * * [misc]simplify: iters left: 5 (40 enodes) 1550698378.018 * * [misc]simplify: iters left: 4 (49 enodes) 1550698378.034 * * [misc]simplify: iters left: 3 (54 enodes) 1550698378.050 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.050 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698378.051 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550698378.051 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550698378.051 * * [misc]simplify: Extracting #4: cost 19 inf + 85 1550698378.051 * * [misc]simplify: Extracting #5: cost 18 inf + 87 1550698378.051 * * [misc]simplify: Extracting #6: cost 11 inf + 1692 1550698378.052 * * [misc]simplify: Extracting #7: cost 1 inf + 5679 1550698378.053 * * [misc]simplify: Extracting #8: cost 0 inf + 6359 1550698378.054 * [exit]simplify: Simplified to (cbrt (/ (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698378.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (* (cbrt (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (cbrt (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) (cbrt (/ (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k))))) 1550698378.055 * * * * [misc]progress: [ 58 / 250 ] simplifiying candidate # 1550698378.055 * [enter]simplify: Simplifying (sqrt (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698378.055 * * [misc]simplify: iters left: 6 (12 enodes) 1550698378.061 * * [misc]simplify: iters left: 5 (40 enodes) 1550698378.074 * * [misc]simplify: iters left: 4 (49 enodes) 1550698378.088 * * [misc]simplify: iters left: 3 (54 enodes) 1550698378.104 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.104 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698378.104 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1550698378.104 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550698378.104 * * [misc]simplify: Extracting #4: cost 19 inf + 85 1550698378.104 * * [misc]simplify: Extracting #5: cost 18 inf + 87 1550698378.105 * * [misc]simplify: Extracting #6: cost 11 inf + 1692 1550698378.106 * * [misc]simplify: Extracting #7: cost 1 inf + 5639 1550698378.107 * * [misc]simplify: Extracting #8: cost 0 inf + 6279 1550698378.108 * [exit]simplify: Simplified to (sqrt (/ (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698378.108 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (sqrt (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (sqrt (/ (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k))))) 1550698378.108 * * * * [misc]progress: [ 59 / 250 ] simplifiying candidate # 1550698378.109 * [enter]simplify: Simplifying (/ (pow PI 1/2) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698378.109 * * [misc]simplify: iters left: 6 (12 enodes) 1550698378.115 * * [misc]simplify: iters left: 5 (39 enodes) 1550698378.128 * * [misc]simplify: iters left: 4 (43 enodes) 1550698378.140 * * [misc]simplify: iters left: 3 (44 enodes) 1550698378.153 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.153 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698378.153 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698378.153 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550698378.153 * * [misc]simplify: Extracting #4: cost 14 inf + 43 1550698378.153 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1550698378.153 * * [misc]simplify: Extracting #6: cost 10 inf + 269 1550698378.154 * * [misc]simplify: Extracting #7: cost 5 inf + 1256 1550698378.154 * * [misc]simplify: Extracting #8: cost 1 inf + 2973 1550698378.155 * * [misc]simplify: Extracting #9: cost 0 inf + 3483 1550698378.156 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698378.156 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698378.156 * * * * [misc]progress: [ 60 / 250 ] simplifiying candidate # 1550698378.156 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698378.156 * * [misc]simplify: iters left: 6 (12 enodes) 1550698378.163 * * [misc]simplify: iters left: 5 (39 enodes) 1550698378.174 * * [misc]simplify: iters left: 4 (43 enodes) 1550698378.187 * * [misc]simplify: iters left: 3 (44 enodes) 1550698378.199 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.199 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698378.199 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698378.199 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550698378.200 * * [misc]simplify: Extracting #4: cost 14 inf + 43 1550698378.200 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1550698378.200 * * [misc]simplify: Extracting #6: cost 10 inf + 269 1550698378.200 * * [misc]simplify: Extracting #7: cost 5 inf + 1256 1550698378.201 * * [misc]simplify: Extracting #8: cost 1 inf + 2853 1550698378.201 * * [misc]simplify: Extracting #9: cost 0 inf + 3323 1550698378.202 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698378.202 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698378.202 * * * * [misc]progress: [ 61 / 250 ] simplifiying candidate # 1550698378.203 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (pow n 1/2))) 1550698378.203 * * [misc]simplify: iters left: 6 (10 enodes) 1550698378.208 * * [misc]simplify: iters left: 5 (34 enodes) 1550698378.218 * * [misc]simplify: iters left: 4 (39 enodes) 1550698378.229 * * [misc]simplify: iters left: 3 (43 enodes) 1550698378.240 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.241 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.241 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698378.241 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1550698378.241 * * [misc]simplify: Extracting #4: cost 12 inf + 168 1550698378.241 * * [misc]simplify: Extracting #5: cost 4 inf + 1302 1550698378.242 * * [misc]simplify: Extracting #6: cost 1 inf + 1908 1550698378.243 * * [misc]simplify: Extracting #7: cost 0 inf + 2110 1550698378.243 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt k))) 1550698378.243 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k))))) (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt k))))) 1550698378.243 * * * * [misc]progress: [ 62 / 250 ] simplifiying candidate # 1550698378.244 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698378.244 * * [misc]simplify: iters left: 6 (13 enodes) 1550698378.250 * * [misc]simplify: iters left: 5 (44 enodes) 1550698378.265 * * [misc]simplify: iters left: 4 (53 enodes) 1550698378.283 * * [misc]simplify: iters left: 3 (58 enodes) 1550698378.300 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.300 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.300 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698378.300 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550698378.300 * * [misc]simplify: Extracting #4: cost 20 inf + 86 1550698378.300 * * [misc]simplify: Extracting #5: cost 13 inf + 717 1550698378.301 * * [misc]simplify: Extracting #6: cost 2 inf + 4598 1550698378.302 * * [misc]simplify: Extracting #7: cost 0 inf + 5309 1550698378.303 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698378.303 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1550698378.304 * * * * [misc]progress: [ 63 / 250 ] simplifiying candidate # 1550698378.306 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698378.306 * * [misc]simplify: iters left: 6 (13 enodes) 1550698378.314 * * [misc]simplify: iters left: 5 (44 enodes) 1550698378.326 * * [misc]simplify: iters left: 4 (53 enodes) 1550698378.338 * * [misc]simplify: iters left: 3 (58 enodes) 1550698378.352 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.352 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.352 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698378.352 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550698378.352 * * [misc]simplify: Extracting #4: cost 20 inf + 86 1550698378.352 * * [misc]simplify: Extracting #5: cost 13 inf + 717 1550698378.352 * * [misc]simplify: Extracting #6: cost 2 inf + 4318 1550698378.353 * * [misc]simplify: Extracting #7: cost 0 inf + 4989 1550698378.354 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698378.354 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2)))))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1550698378.354 * * * * [misc]progress: [ 64 / 250 ] simplifiying candidate # 1550698378.354 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698378.354 * * [misc]simplify: iters left: 6 (12 enodes) 1550698378.358 * * [misc]simplify: iters left: 5 (41 enodes) 1550698378.370 * * [misc]simplify: iters left: 4 (50 enodes) 1550698378.385 * * [misc]simplify: iters left: 3 (55 enodes) 1550698378.400 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.400 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.400 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698378.400 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1550698378.400 * * [misc]simplify: Extracting #4: cost 13 inf + 618 1550698378.401 * * [misc]simplify: Extracting #5: cost 2 inf + 3271 1550698378.402 * * [misc]simplify: Extracting #6: cost 0 inf + 4131 1550698378.403 * [exit]simplify: Simplified to (/ (* (sqrt PI) (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698378.403 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (* (sqrt PI) (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))))) 1550698378.403 * * * * [misc]progress: [ 65 / 250 ] simplifiying candidate # 1550698378.403 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550698378.404 * * [misc]simplify: iters left: 6 (10 enodes) 1550698378.409 * * [misc]simplify: iters left: 5 (34 enodes) 1550698378.419 * * [misc]simplify: iters left: 4 (39 enodes) 1550698378.433 * * [misc]simplify: iters left: 3 (43 enodes) 1550698378.446 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.446 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.446 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698378.447 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1550698378.447 * * [misc]simplify: Extracting #4: cost 12 inf + 168 1550698378.447 * * [misc]simplify: Extracting #5: cost 4 inf + 1142 1550698378.447 * * [misc]simplify: Extracting #6: cost 1 inf + 1628 1550698378.448 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 1550698378.448 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1550698378.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) (pow n (* -1/2 k))))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))))) 1550698378.448 * * * * [misc]progress: [ 66 / 250 ] simplifiying candidate # 1550698378.449 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698378.449 * * [misc]simplify: iters left: 6 (13 enodes) 1550698378.456 * * [misc]simplify: iters left: 5 (44 enodes) 1550698378.470 * * [misc]simplify: iters left: 4 (53 enodes) 1550698378.487 * * [misc]simplify: iters left: 3 (58 enodes) 1550698378.505 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.505 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.505 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698378.505 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550698378.506 * * [misc]simplify: Extracting #4: cost 20 inf + 86 1550698378.506 * * [misc]simplify: Extracting #5: cost 13 inf + 677 1550698378.507 * * [misc]simplify: Extracting #6: cost 2 inf + 4358 1550698378.508 * * [misc]simplify: Extracting #7: cost 0 inf + 4989 1550698378.509 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698378.509 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1550698378.509 * * * * [misc]progress: [ 67 / 250 ] simplifiying candidate # 1550698378.510 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698378.510 * * [misc]simplify: iters left: 6 (13 enodes) 1550698378.517 * * [misc]simplify: iters left: 5 (44 enodes) 1550698378.531 * * [misc]simplify: iters left: 4 (53 enodes) 1550698378.546 * * [misc]simplify: iters left: 3 (58 enodes) 1550698378.561 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.561 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.561 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698378.561 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550698378.561 * * [misc]simplify: Extracting #4: cost 20 inf + 86 1550698378.562 * * [misc]simplify: Extracting #5: cost 13 inf + 677 1550698378.562 * * [misc]simplify: Extracting #6: cost 2 inf + 4078 1550698378.563 * * [misc]simplify: Extracting #7: cost 0 inf + 4669 1550698378.565 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698378.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1550698378.565 * * * * [misc]progress: [ 68 / 250 ] simplifiying candidate # 1550698378.565 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698378.565 * * [misc]simplify: iters left: 6 (12 enodes) 1550698378.572 * * [misc]simplify: iters left: 5 (41 enodes) 1550698378.583 * * [misc]simplify: iters left: 4 (50 enodes) 1550698378.597 * * [misc]simplify: iters left: 3 (55 enodes) 1550698378.612 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.613 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.613 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698378.613 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1550698378.613 * * [misc]simplify: Extracting #4: cost 13 inf + 578 1550698378.614 * * [misc]simplify: Extracting #5: cost 2 inf + 2991 1550698378.615 * * [misc]simplify: Extracting #6: cost 0 inf + 3811 1550698378.615 * [exit]simplify: Simplified to (/ (* (sqrt PI) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698378.615 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) 1))) (/ (* (sqrt PI) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))))) 1550698378.616 * * * * [misc]progress: [ 69 / 250 ] simplifiying candidate # 1550698378.616 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow n 1/2))) 1550698378.616 * * [misc]simplify: iters left: 5 (9 enodes) 1550698378.620 * * [misc]simplify: iters left: 4 (31 enodes) 1550698378.629 * * [misc]simplify: iters left: 3 (36 enodes) 1550698378.639 * * [misc]simplify: iters left: 2 (40 enodes) 1550698378.651 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.651 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.651 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698378.651 * * [misc]simplify: Extracting #3: cost 14 inf + 4 1550698378.651 * * [misc]simplify: Extracting #4: cost 6 inf + 575 1550698378.652 * * [misc]simplify: Extracting #5: cost 0 inf + 1388 1550698378.652 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt n)) 1550698378.652 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ 1 (pow n (* -1/2 k))))) (* (/ (sqrt PI) (sqrt k)) (sqrt n)))) 1550698378.653 * * * * [misc]progress: [ 70 / 250 ] simplifiying candidate # 1550698378.653 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698378.653 * * [misc]simplify: iters left: 6 (12 enodes) 1550698378.659 * * [misc]simplify: iters left: 5 (41 enodes) 1550698378.673 * * [misc]simplify: iters left: 4 (50 enodes) 1550698378.688 * * [misc]simplify: iters left: 3 (55 enodes) 1550698378.704 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.704 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.704 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698378.704 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1550698378.705 * * [misc]simplify: Extracting #4: cost 15 inf + 290 1550698378.705 * * [misc]simplify: Extracting #5: cost 9 inf + 1189 1550698378.706 * * [misc]simplify: Extracting #6: cost 2 inf + 3647 1550698378.707 * * [misc]simplify: Extracting #7: cost 0 inf + 4587 1550698378.708 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow n (fma k -1/2 1/2)))) (sqrt k)) 1550698378.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (/ (* (sqrt PI) (cbrt (pow n (fma k -1/2 1/2)))) (sqrt k)))) 1550698378.708 * * * * [misc]progress: [ 71 / 250 ] simplifiying candidate # 1550698378.708 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698378.709 * * [misc]simplify: iters left: 6 (12 enodes) 1550698378.715 * * [misc]simplify: iters left: 5 (41 enodes) 1550698378.729 * * [misc]simplify: iters left: 4 (50 enodes) 1550698378.746 * * [misc]simplify: iters left: 3 (55 enodes) 1550698378.862 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.862 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.862 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698378.862 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1550698378.862 * * [misc]simplify: Extracting #4: cost 15 inf + 290 1550698378.863 * * [misc]simplify: Extracting #5: cost 9 inf + 1149 1550698378.863 * * [misc]simplify: Extracting #6: cost 2 inf + 3407 1550698378.864 * * [misc]simplify: Extracting #7: cost 0 inf + 4267 1550698378.865 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (fma k -1/2 1/2)))) (sqrt k)) 1550698378.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ 1 (sqrt (pow n (fma -1/2 k 1/2)))))) (/ (* (sqrt PI) (sqrt (pow n (fma k -1/2 1/2)))) (sqrt k)))) 1550698378.873 * * * * [misc]progress: [ 72 / 250 ] simplifiying candidate # 1550698378.874 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698378.874 * * [misc]simplify: iters left: 6 (11 enodes) 1550698378.880 * * [misc]simplify: iters left: 5 (38 enodes) 1550698378.892 * * [misc]simplify: iters left: 4 (47 enodes) 1550698378.906 * * [misc]simplify: iters left: 3 (52 enodes) 1550698378.921 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.922 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.922 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698378.922 * * [misc]simplify: Extracting #3: cost 18 inf + 4 1550698378.922 * * [misc]simplify: Extracting #4: cost 9 inf + 571 1550698378.923 * * [misc]simplify: Extracting #5: cost 4 inf + 1930 1550698378.923 * * [misc]simplify: Extracting #6: cost 0 inf + 3409 1550698378.924 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698378.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (/ 1 1))) (* (/ (sqrt PI) (sqrt k)) (pow n (fma k -1/2 1/2))))) 1550698378.924 * * * * [misc]progress: [ 73 / 250 ] simplifiying candidate # 1550698378.925 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698378.925 * * [misc]simplify: iters left: 6 (11 enodes) 1550698378.931 * * [misc]simplify: iters left: 5 (38 enodes) 1550698378.943 * * [misc]simplify: iters left: 4 (47 enodes) 1550698378.957 * * [misc]simplify: iters left: 3 (52 enodes) 1550698378.971 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698378.971 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698378.971 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698378.971 * * [misc]simplify: Extracting #3: cost 18 inf + 4 1550698378.972 * * [misc]simplify: Extracting #4: cost 9 inf + 571 1550698378.972 * * [misc]simplify: Extracting #5: cost 4 inf + 1930 1550698378.973 * * [misc]simplify: Extracting #6: cost 0 inf + 3409 1550698378.974 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698378.974 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) 1)) (* (/ (sqrt PI) (sqrt k)) (pow n (fma k -1/2 1/2))))) 1550698378.974 * * * * [misc]progress: [ 74 / 250 ] simplifiying candidate # 1550698378.977 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (fma -1/2 k 1/2)))) 1550698378.977 * * [misc]simplify: iters left: 6 (11 enodes) 1550698378.989 * * [misc]simplify: iters left: 5 (40 enodes) 1550698379.001 * * [misc]simplify: iters left: 4 (47 enodes) 1550698379.034 * * [misc]simplify: iters left: 3 (55 enodes) 1550698379.066 * * [misc]simplify: iters left: 2 (56 enodes) 1550698379.178 * * [misc]simplify: iters left: 1 (58 enodes) 1550698379.189 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.189 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698379.189 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1550698379.189 * * [misc]simplify: Extracting #3: cost 15 inf + 4 1550698379.189 * * [misc]simplify: Extracting #4: cost 8 inf + 328 1550698379.190 * * [misc]simplify: Extracting #5: cost 3 inf + 1381 1550698379.190 * * [misc]simplify: Extracting #6: cost 0 inf + 2310 1550698379.190 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (fma k -1/2 1/2))) 1550698379.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* -1/2 k)) (sqrt k))) (* (sqrt PI) (pow n (fma k -1/2 1/2))))) 1550698379.196 * * * * [misc]progress: [ 75 / 250 ] simplifiying candidate # 1550698379.199 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698379.199 * * [misc]simplify: iters left: 6 (13 enodes) 1550698379.204 * * [misc]simplify: iters left: 5 (41 enodes) 1550698379.216 * * [misc]simplify: iters left: 4 (45 enodes) 1550698379.230 * * [misc]simplify: iters left: 3 (46 enodes) 1550698379.243 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.243 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698379.243 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698379.243 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698379.243 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698379.243 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1550698379.244 * * [misc]simplify: Extracting #6: cost 11 inf + 767 1550698379.244 * * [misc]simplify: Extracting #7: cost 5 inf + 2490 1550698379.246 * * [misc]simplify: Extracting #8: cost 1 inf + 4377 1550698379.247 * * [misc]simplify: Extracting #9: cost 0 inf + 5137 1550698379.247 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698379.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698379.248 * * * * [misc]progress: [ 76 / 250 ] simplifiying candidate # 1550698379.249 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698379.249 * * [misc]simplify: iters left: 6 (13 enodes) 1550698379.255 * * [misc]simplify: iters left: 5 (41 enodes) 1550698379.268 * * [misc]simplify: iters left: 4 (45 enodes) 1550698379.285 * * [misc]simplify: iters left: 3 (46 enodes) 1550698379.298 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.298 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698379.298 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698379.298 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698379.298 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698379.299 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1550698379.299 * * [misc]simplify: Extracting #6: cost 11 inf + 767 1550698379.299 * * [misc]simplify: Extracting #7: cost 5 inf + 2450 1550698379.300 * * [misc]simplify: Extracting #8: cost 1 inf + 4257 1550698379.301 * * [misc]simplify: Extracting #9: cost 0 inf + 4977 1550698379.302 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698379.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698379.302 * * * * [misc]progress: [ 77 / 250 ] simplifiying candidate # 1550698379.304 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n 1/2))) 1550698379.304 * * [misc]simplify: iters left: 6 (13 enodes) 1550698379.310 * * [misc]simplify: iters left: 5 (44 enodes) 1550698379.324 * * [misc]simplify: iters left: 4 (53 enodes) 1550698379.413 * * [misc]simplify: iters left: 3 (58 enodes) 1550698379.442 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.449 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698379.449 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698379.449 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1550698379.449 * * [misc]simplify: Extracting #4: cost 19 inf + 127 1550698379.449 * * [misc]simplify: Extracting #5: cost 15 inf + 453 1550698379.450 * * [misc]simplify: Extracting #6: cost 10 inf + 1082 1550698379.450 * * [misc]simplify: Extracting #7: cost 1 inf + 4800 1550698379.451 * * [misc]simplify: Extracting #8: cost 0 inf + 5309 1550698379.453 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (sqrt n))) 1550698379.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k))))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (sqrt n))))) 1550698379.453 * * * * [misc]progress: [ 78 / 250 ] simplifiying candidate # 1550698379.453 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698379.454 * * [misc]simplify: iters left: 6 (14 enodes) 1550698379.477 * * [misc]simplify: iters left: 5 (46 enodes) 1550698379.514 * * [misc]simplify: iters left: 4 (55 enodes) 1550698379.534 * * [misc]simplify: iters left: 3 (60 enodes) 1550698379.548 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.548 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698379.548 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698379.548 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698379.548 * * [misc]simplify: Extracting #4: cost 22 inf + 286 1550698379.549 * * [misc]simplify: Extracting #5: cost 20 inf + 329 1550698379.549 * * [misc]simplify: Extracting #6: cost 15 inf + 798 1550698379.550 * * [misc]simplify: Extracting #7: cost 2 inf + 6888 1550698379.551 * * [misc]simplify: Extracting #8: cost 0 inf + 8077 1550698379.553 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698379.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1550698379.553 * * * * [misc]progress: [ 79 / 250 ] simplifiying candidate # 1550698379.553 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698379.553 * * [misc]simplify: iters left: 6 (14 enodes) 1550698379.560 * * [misc]simplify: iters left: 5 (46 enodes) 1550698379.574 * * [misc]simplify: iters left: 4 (55 enodes) 1550698379.590 * * [misc]simplify: iters left: 3 (60 enodes) 1550698379.604 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.604 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698379.604 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698379.604 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698379.605 * * [misc]simplify: Extracting #4: cost 22 inf + 286 1550698379.605 * * [misc]simplify: Extracting #5: cost 20 inf + 329 1550698379.605 * * [misc]simplify: Extracting #6: cost 15 inf + 798 1550698379.606 * * [misc]simplify: Extracting #7: cost 2 inf + 6648 1550698379.608 * * [misc]simplify: Extracting #8: cost 0 inf + 7757 1550698379.608 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698379.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2)))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1550698379.609 * * * * [misc]progress: [ 80 / 250 ] simplifiying candidate # 1550698379.609 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698379.609 * * [misc]simplify: iters left: 6 (13 enodes) 1550698379.616 * * [misc]simplify: iters left: 5 (43 enodes) 1550698379.652 * * [misc]simplify: iters left: 4 (52 enodes) 1550698379.677 * * [misc]simplify: iters left: 3 (57 enodes) 1550698379.693 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.693 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698379.693 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698379.693 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698379.693 * * [misc]simplify: Extracting #4: cost 18 inf + 250 1550698379.693 * * [misc]simplify: Extracting #5: cost 14 inf + 740 1550698379.694 * * [misc]simplify: Extracting #6: cost 3 inf + 5030 1550698379.695 * * [misc]simplify: Extracting #7: cost 0 inf + 6899 1550698379.697 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698379.704 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (* (pow n (fma k -1/2 1/2)) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1550698379.716 * * * * [misc]progress: [ 81 / 250 ] simplifiying candidate # 1550698379.717 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550698379.717 * * [misc]simplify: iters left: 6 (13 enodes) 1550698379.723 * * [misc]simplify: iters left: 5 (44 enodes) 1550698379.742 * * [misc]simplify: iters left: 4 (53 enodes) 1550698379.759 * * [misc]simplify: iters left: 3 (58 enodes) 1550698379.775 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.775 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698379.775 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698379.775 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1550698379.775 * * [misc]simplify: Extracting #4: cost 19 inf + 127 1550698379.775 * * [misc]simplify: Extracting #5: cost 15 inf + 373 1550698379.776 * * [misc]simplify: Extracting #6: cost 10 inf + 962 1550698379.777 * * [misc]simplify: Extracting #7: cost 1 inf + 4520 1550698379.778 * * [misc]simplify: Extracting #8: cost 0 inf + 4989 1550698379.779 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (sqrt n))) 1550698379.779 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (pow n (* -1/2 k))))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (sqrt n))))) 1550698379.779 * * * * [misc]progress: [ 82 / 250 ] simplifiying candidate # 1550698379.783 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698379.783 * * [misc]simplify: iters left: 6 (14 enodes) 1550698379.796 * * [misc]simplify: iters left: 5 (46 enodes) 1550698379.810 * * [misc]simplify: iters left: 4 (55 enodes) 1550698379.826 * * [misc]simplify: iters left: 3 (60 enodes) 1550698379.917 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.918 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698379.918 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698379.918 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698379.918 * * [misc]simplify: Extracting #4: cost 22 inf + 206 1550698379.919 * * [misc]simplify: Extracting #5: cost 20 inf + 249 1550698379.919 * * [misc]simplify: Extracting #6: cost 15 inf + 718 1550698379.920 * * [misc]simplify: Extracting #7: cost 2 inf + 6608 1550698379.921 * * [misc]simplify: Extracting #8: cost 0 inf + 7757 1550698379.923 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698379.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1550698379.925 * * * * [misc]progress: [ 83 / 250 ] simplifiying candidate # 1550698379.927 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698379.927 * * [misc]simplify: iters left: 6 (14 enodes) 1550698379.934 * * [misc]simplify: iters left: 5 (46 enodes) 1550698379.948 * * [misc]simplify: iters left: 4 (55 enodes) 1550698379.963 * * [misc]simplify: iters left: 3 (60 enodes) 1550698379.977 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698379.977 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698379.977 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698379.978 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698379.978 * * [misc]simplify: Extracting #4: cost 22 inf + 206 1550698379.978 * * [misc]simplify: Extracting #5: cost 20 inf + 249 1550698379.978 * * [misc]simplify: Extracting #6: cost 15 inf + 718 1550698379.979 * * [misc]simplify: Extracting #7: cost 2 inf + 6368 1550698379.981 * * [misc]simplify: Extracting #8: cost 0 inf + 7437 1550698379.982 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698379.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1550698379.982 * * * * [misc]progress: [ 84 / 250 ] simplifiying candidate # 1550698379.984 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698379.984 * * [misc]simplify: iters left: 6 (13 enodes) 1550698379.988 * * [misc]simplify: iters left: 5 (43 enodes) 1550698379.999 * * [misc]simplify: iters left: 4 (52 enodes) 1550698380.014 * * [misc]simplify: iters left: 3 (57 enodes) 1550698380.030 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.030 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.030 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698380.030 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698380.030 * * [misc]simplify: Extracting #4: cost 18 inf + 210 1550698380.030 * * [misc]simplify: Extracting #5: cost 14 inf + 660 1550698380.031 * * [misc]simplify: Extracting #6: cost 3 inf + 4790 1550698380.032 * * [misc]simplify: Extracting #7: cost 0 inf + 6579 1550698380.034 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698380.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) 1))) (* (pow n (fma k -1/2 1/2)) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1550698380.034 * * * * [misc]progress: [ 85 / 250 ] simplifiying candidate # 1550698380.040 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n 1/2))) 1550698380.040 * * [misc]simplify: iters left: 5 (12 enodes) 1550698380.044 * * [misc]simplify: iters left: 4 (41 enodes) 1550698380.057 * * [misc]simplify: iters left: 3 (50 enodes) 1550698380.071 * * [misc]simplify: iters left: 2 (55 enodes) 1550698380.158 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.158 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.158 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698380.158 * * [misc]simplify: Extracting #3: cost 16 inf + 85 1550698380.158 * * [misc]simplify: Extracting #4: cost 14 inf + 412 1550698380.159 * * [misc]simplify: Extracting #5: cost 14 inf + 413 1550698380.159 * * [misc]simplify: Extracting #6: cost 11 inf + 782 1550698380.160 * * [misc]simplify: Extracting #7: cost 2 inf + 3647 1550698380.160 * * [misc]simplify: Extracting #8: cost 0 inf + 4587 1550698380.161 * [exit]simplify: Simplified to (/ (* (sqrt n) (cbrt (pow PI (fma k -1/2 1/2)))) (sqrt k)) 1550698380.161 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 (pow n (* -1/2 k))))) (/ (* (sqrt n) (cbrt (pow PI (fma k -1/2 1/2)))) (sqrt k)))) 1550698380.164 * * * * [misc]progress: [ 86 / 250 ] simplifiying candidate # 1550698380.165 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698380.166 * * [misc]simplify: iters left: 6 (13 enodes) 1550698380.169 * * [misc]simplify: iters left: 5 (43 enodes) 1550698380.181 * * [misc]simplify: iters left: 4 (52 enodes) 1550698380.197 * * [misc]simplify: iters left: 3 (57 enodes) 1550698380.210 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.210 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.210 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698380.210 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550698380.210 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1550698380.210 * * [misc]simplify: Extracting #5: cost 19 inf + 129 1550698380.210 * * [misc]simplify: Extracting #6: cost 15 inf + 767 1550698380.211 * * [misc]simplify: Extracting #7: cost 3 inf + 5486 1550698380.212 * * [misc]simplify: Extracting #8: cost 0 inf + 7355 1550698380.212 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698380.212 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k))))) 1550698380.212 * * * * [misc]progress: [ 87 / 250 ] simplifiying candidate # 1550698380.217 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698380.217 * * [misc]simplify: iters left: 6 (13 enodes) 1550698380.222 * * [misc]simplify: iters left: 5 (43 enodes) 1550698380.236 * * [misc]simplify: iters left: 4 (52 enodes) 1550698380.250 * * [misc]simplify: iters left: 3 (57 enodes) 1550698380.262 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.262 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.262 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698380.262 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550698380.263 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1550698380.263 * * [misc]simplify: Extracting #5: cost 19 inf + 129 1550698380.263 * * [misc]simplify: Extracting #6: cost 15 inf + 767 1550698380.264 * * [misc]simplify: Extracting #7: cost 3 inf + 5246 1550698380.265 * * [misc]simplify: Extracting #8: cost 0 inf + 7035 1550698380.266 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698380.266 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 (sqrt (pow n (fma -1/2 k 1/2)))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k))))) 1550698380.266 * * * * [misc]progress: [ 88 / 250 ] simplifiying candidate # 1550698380.267 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698380.267 * * [misc]simplify: iters left: 6 (12 enodes) 1550698380.273 * * [misc]simplify: iters left: 5 (40 enodes) 1550698380.286 * * [misc]simplify: iters left: 4 (49 enodes) 1550698380.397 * * [misc]simplify: iters left: 3 (54 enodes) 1550698380.422 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.422 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.422 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698380.422 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698380.422 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698380.423 * * [misc]simplify: Extracting #5: cost 12 inf + 1263 1550698380.423 * * [misc]simplify: Extracting #6: cost 1 inf + 5497 1550698380.425 * * [misc]simplify: Extracting #7: cost 0 inf + 6177 1550698380.426 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698380.432 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 1))) (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))))) 1550698380.433 * * * * [misc]progress: [ 89 / 250 ] simplifiying candidate # 1550698380.433 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698380.433 * * [misc]simplify: iters left: 6 (12 enodes) 1550698380.451 * * [misc]simplify: iters left: 5 (40 enodes) 1550698380.464 * * [misc]simplify: iters left: 4 (49 enodes) 1550698380.479 * * [misc]simplify: iters left: 3 (54 enodes) 1550698380.489 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.489 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.489 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698380.490 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698380.490 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698380.490 * * [misc]simplify: Extracting #5: cost 12 inf + 1263 1550698380.491 * * [misc]simplify: Extracting #6: cost 1 inf + 5497 1550698380.492 * * [misc]simplify: Extracting #7: cost 0 inf + 6177 1550698380.493 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698380.493 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) 1)) (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))))) 1550698380.493 * * * * [misc]progress: [ 90 / 250 ] simplifiying candidate # 1550698380.494 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (fma -1/2 k 1/2)))) 1550698380.494 * * [misc]simplify: iters left: 6 (12 enodes) 1550698380.500 * * [misc]simplify: iters left: 5 (42 enodes) 1550698380.515 * * [misc]simplify: iters left: 4 (49 enodes) 1550698380.529 * * [misc]simplify: iters left: 3 (57 enodes) 1550698380.545 * * [misc]simplify: iters left: 2 (58 enodes) 1550698380.561 * * [misc]simplify: iters left: 1 (60 enodes) 1550698380.586 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.586 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698380.586 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698380.586 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550698380.586 * * [misc]simplify: Extracting #4: cost 16 inf + 6 1550698380.586 * * [misc]simplify: Extracting #5: cost 10 inf + 744 1550698380.587 * * [misc]simplify: Extracting #6: cost 3 inf + 3280 1550698380.588 * * [misc]simplify: Extracting #7: cost 0 inf + 4580 1550698380.589 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (cbrt (pow PI (fma k -1/2 1/2)))) 1550698380.589 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (sqrt k))) (* (pow n (fma k -1/2 1/2)) (cbrt (pow PI (fma k -1/2 1/2)))))) 1550698380.589 * * * * [misc]progress: [ 91 / 250 ] simplifiying candidate # 1550698380.590 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698380.590 * * [misc]simplify: iters left: 6 (13 enodes) 1550698380.596 * * [misc]simplify: iters left: 5 (41 enodes) 1550698380.610 * * [misc]simplify: iters left: 4 (45 enodes) 1550698380.624 * * [misc]simplify: iters left: 3 (46 enodes) 1550698380.635 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.635 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698380.635 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698380.635 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698380.635 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698380.635 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1550698380.635 * * [misc]simplify: Extracting #6: cost 11 inf + 767 1550698380.636 * * [misc]simplify: Extracting #7: cost 5 inf + 2450 1550698380.637 * * [misc]simplify: Extracting #8: cost 1 inf + 4257 1550698380.637 * * [misc]simplify: Extracting #9: cost 0 inf + 4977 1550698380.638 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698380.638 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698380.638 * * * * [misc]progress: [ 92 / 250 ] simplifiying candidate # 1550698380.638 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698380.638 * * [misc]simplify: iters left: 6 (13 enodes) 1550698380.643 * * [misc]simplify: iters left: 5 (41 enodes) 1550698380.657 * * [misc]simplify: iters left: 4 (45 enodes) 1550698380.668 * * [misc]simplify: iters left: 3 (46 enodes) 1550698380.683 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.683 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698380.683 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698380.683 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698380.683 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698380.683 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1550698380.683 * * [misc]simplify: Extracting #6: cost 11 inf + 767 1550698380.684 * * [misc]simplify: Extracting #7: cost 5 inf + 2410 1550698380.685 * * [misc]simplify: Extracting #8: cost 1 inf + 4137 1550698380.685 * * [misc]simplify: Extracting #9: cost 0 inf + 4817 1550698380.685 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698380.686 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698380.686 * * * * [misc]progress: [ 93 / 250 ] simplifiying candidate # 1550698380.686 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n 1/2))) 1550698380.686 * * [misc]simplify: iters left: 6 (13 enodes) 1550698380.692 * * [misc]simplify: iters left: 5 (44 enodes) 1550698380.705 * * [misc]simplify: iters left: 4 (53 enodes) 1550698380.721 * * [misc]simplify: iters left: 3 (58 enodes) 1550698380.740 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.740 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.740 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698380.740 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1550698380.740 * * [misc]simplify: Extracting #4: cost 19 inf + 127 1550698380.740 * * [misc]simplify: Extracting #5: cost 15 inf + 453 1550698380.741 * * [misc]simplify: Extracting #6: cost 10 inf + 1082 1550698380.742 * * [misc]simplify: Extracting #7: cost 1 inf + 4520 1550698380.743 * * [misc]simplify: Extracting #8: cost 0 inf + 4989 1550698380.744 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (sqrt n))) 1550698380.744 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k))))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (sqrt n))))) 1550698380.744 * * * * [misc]progress: [ 94 / 250 ] simplifiying candidate # 1550698380.745 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698380.745 * * [misc]simplify: iters left: 6 (14 enodes) 1550698380.752 * * [misc]simplify: iters left: 5 (46 enodes) 1550698380.767 * * [misc]simplify: iters left: 4 (55 enodes) 1550698380.783 * * [misc]simplify: iters left: 3 (60 enodes) 1550698380.800 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.800 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.800 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698380.800 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698380.800 * * [misc]simplify: Extracting #4: cost 22 inf + 286 1550698380.801 * * [misc]simplify: Extracting #5: cost 20 inf + 329 1550698380.801 * * [misc]simplify: Extracting #6: cost 15 inf + 798 1550698380.802 * * [misc]simplify: Extracting #7: cost 2 inf + 6608 1550698380.803 * * [misc]simplify: Extracting #8: cost 0 inf + 7757 1550698380.805 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698380.805 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1550698380.805 * * * * [misc]progress: [ 95 / 250 ] simplifiying candidate # 1550698380.806 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698380.806 * * [misc]simplify: iters left: 6 (14 enodes) 1550698380.813 * * [misc]simplify: iters left: 5 (46 enodes) 1550698380.829 * * [misc]simplify: iters left: 4 (55 enodes) 1550698380.846 * * [misc]simplify: iters left: 3 (60 enodes) 1550698380.864 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.864 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.864 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698380.864 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698380.864 * * [misc]simplify: Extracting #4: cost 22 inf + 286 1550698380.864 * * [misc]simplify: Extracting #5: cost 20 inf + 329 1550698380.865 * * [misc]simplify: Extracting #6: cost 15 inf + 798 1550698380.866 * * [misc]simplify: Extracting #7: cost 2 inf + 6368 1550698380.867 * * [misc]simplify: Extracting #8: cost 0 inf + 7437 1550698380.868 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698380.869 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2)))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1550698380.869 * * * * [misc]progress: [ 96 / 250 ] simplifiying candidate # 1550698380.869 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698380.869 * * [misc]simplify: iters left: 6 (13 enodes) 1550698380.876 * * [misc]simplify: iters left: 5 (43 enodes) 1550698380.890 * * [misc]simplify: iters left: 4 (52 enodes) 1550698380.908 * * [misc]simplify: iters left: 3 (57 enodes) 1550698380.924 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.924 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.924 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698380.925 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698380.925 * * [misc]simplify: Extracting #4: cost 18 inf + 250 1550698380.925 * * [misc]simplify: Extracting #5: cost 14 inf + 740 1550698380.926 * * [misc]simplify: Extracting #6: cost 3 inf + 4830 1550698380.927 * * [misc]simplify: Extracting #7: cost 0 inf + 6579 1550698380.928 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698380.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (* (pow n (fma k -1/2 1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1550698380.929 * * * * [misc]progress: [ 97 / 250 ] simplifiying candidate # 1550698380.929 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550698380.929 * * [misc]simplify: iters left: 6 (13 enodes) 1550698380.936 * * [misc]simplify: iters left: 5 (44 enodes) 1550698380.951 * * [misc]simplify: iters left: 4 (53 enodes) 1550698380.967 * * [misc]simplify: iters left: 3 (58 enodes) 1550698380.982 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698380.982 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698380.982 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698380.982 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1550698380.983 * * [misc]simplify: Extracting #4: cost 19 inf + 127 1550698380.983 * * [misc]simplify: Extracting #5: cost 15 inf + 373 1550698380.983 * * [misc]simplify: Extracting #6: cost 10 inf + 962 1550698380.984 * * [misc]simplify: Extracting #7: cost 1 inf + 4240 1550698380.985 * * [misc]simplify: Extracting #8: cost 0 inf + 4669 1550698380.986 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (sqrt n))) 1550698380.986 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (* -1/2 k))))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (sqrt n))))) 1550698380.987 * * * * [misc]progress: [ 98 / 250 ] simplifiying candidate # 1550698380.987 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698380.987 * * [misc]simplify: iters left: 6 (14 enodes) 1550698380.994 * * [misc]simplify: iters left: 5 (46 enodes) 1550698381.008 * * [misc]simplify: iters left: 4 (55 enodes) 1550698381.025 * * [misc]simplify: iters left: 3 (60 enodes) 1550698381.042 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.042 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698381.042 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698381.042 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698381.042 * * [misc]simplify: Extracting #4: cost 22 inf + 206 1550698381.042 * * [misc]simplify: Extracting #5: cost 20 inf + 249 1550698381.042 * * [misc]simplify: Extracting #6: cost 15 inf + 718 1550698381.043 * * [misc]simplify: Extracting #7: cost 2 inf + 6328 1550698381.044 * * [misc]simplify: Extracting #8: cost 0 inf + 7437 1550698381.046 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698381.046 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1550698381.046 * * * * [misc]progress: [ 99 / 250 ] simplifiying candidate # 1550698381.046 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698381.046 * * [misc]simplify: iters left: 6 (14 enodes) 1550698381.052 * * [misc]simplify: iters left: 5 (46 enodes) 1550698381.068 * * [misc]simplify: iters left: 4 (55 enodes) 1550698381.085 * * [misc]simplify: iters left: 3 (60 enodes) 1550698381.102 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.102 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698381.102 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698381.102 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698381.103 * * [misc]simplify: Extracting #4: cost 22 inf + 206 1550698381.103 * * [misc]simplify: Extracting #5: cost 20 inf + 249 1550698381.103 * * [misc]simplify: Extracting #6: cost 15 inf + 718 1550698381.104 * * [misc]simplify: Extracting #7: cost 2 inf + 6088 1550698381.106 * * [misc]simplify: Extracting #8: cost 0 inf + 7117 1550698381.107 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698381.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1550698381.107 * * * * [misc]progress: [ 100 / 250 ] simplifiying candidate # 1550698381.108 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698381.108 * * [misc]simplify: iters left: 6 (13 enodes) 1550698381.115 * * [misc]simplify: iters left: 5 (43 enodes) 1550698381.129 * * [misc]simplify: iters left: 4 (52 enodes) 1550698381.144 * * [misc]simplify: iters left: 3 (57 enodes) 1550698381.160 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.161 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698381.161 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698381.161 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698381.161 * * [misc]simplify: Extracting #4: cost 18 inf + 210 1550698381.161 * * [misc]simplify: Extracting #5: cost 14 inf + 660 1550698381.162 * * [misc]simplify: Extracting #6: cost 3 inf + 4590 1550698381.163 * * [misc]simplify: Extracting #7: cost 0 inf + 6259 1550698381.164 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698381.165 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) 1))) (* (pow n (fma k -1/2 1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1550698381.165 * * * * [misc]progress: [ 101 / 250 ] simplifiying candidate # 1550698381.165 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n 1/2))) 1550698381.165 * * [misc]simplify: iters left: 5 (12 enodes) 1550698381.172 * * [misc]simplify: iters left: 4 (41 enodes) 1550698381.185 * * [misc]simplify: iters left: 3 (50 enodes) 1550698381.200 * * [misc]simplify: iters left: 2 (55 enodes) 1550698381.215 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.216 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698381.216 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698381.216 * * [misc]simplify: Extracting #3: cost 16 inf + 85 1550698381.216 * * [misc]simplify: Extracting #4: cost 14 inf + 412 1550698381.216 * * [misc]simplify: Extracting #5: cost 14 inf + 413 1550698381.217 * * [misc]simplify: Extracting #6: cost 11 inf + 782 1550698381.217 * * [misc]simplify: Extracting #7: cost 2 inf + 3407 1550698381.218 * * [misc]simplify: Extracting #8: cost 0 inf + 4267 1550698381.219 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow PI (fma k -1/2 1/2)))) (sqrt k)) 1550698381.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (* -1/2 k))))) (/ (* (sqrt n) (sqrt (pow PI (fma k -1/2 1/2)))) (sqrt k)))) 1550698381.220 * * * * [misc]progress: [ 102 / 250 ] simplifiying candidate # 1550698381.221 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698381.221 * * [misc]simplify: iters left: 6 (13 enodes) 1550698381.321 * * [misc]simplify: iters left: 5 (43 enodes) 1550698381.334 * * [misc]simplify: iters left: 4 (52 enodes) 1550698381.348 * * [misc]simplify: iters left: 3 (57 enodes) 1550698381.363 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.363 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698381.363 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698381.363 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550698381.363 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1550698381.363 * * [misc]simplify: Extracting #5: cost 19 inf + 129 1550698381.364 * * [misc]simplify: Extracting #6: cost 15 inf + 767 1550698381.364 * * [misc]simplify: Extracting #7: cost 3 inf + 5286 1550698381.366 * * [misc]simplify: Extracting #8: cost 0 inf + 7035 1550698381.367 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698381.369 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k))))) 1550698381.370 * * * * [misc]progress: [ 103 / 250 ] simplifiying candidate # 1550698381.373 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698381.373 * * [misc]simplify: iters left: 6 (13 enodes) 1550698381.379 * * [misc]simplify: iters left: 5 (43 enodes) 1550698381.393 * * [misc]simplify: iters left: 4 (52 enodes) 1550698381.409 * * [misc]simplify: iters left: 3 (57 enodes) 1550698381.425 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.425 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698381.425 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698381.425 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550698381.425 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1550698381.425 * * [misc]simplify: Extracting #5: cost 19 inf + 129 1550698381.426 * * [misc]simplify: Extracting #6: cost 15 inf + 767 1550698381.426 * * [misc]simplify: Extracting #7: cost 3 inf + 5046 1550698381.428 * * [misc]simplify: Extracting #8: cost 0 inf + 6715 1550698381.429 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698381.429 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (sqrt (pow n (fma -1/2 k 1/2)))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k))))) 1550698381.429 * * * * [misc]progress: [ 104 / 250 ] simplifiying candidate # 1550698381.430 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698381.430 * * [misc]simplify: iters left: 6 (12 enodes) 1550698381.436 * * [misc]simplify: iters left: 5 (40 enodes) 1550698381.448 * * [misc]simplify: iters left: 4 (49 enodes) 1550698381.463 * * [misc]simplify: iters left: 3 (54 enodes) 1550698381.483 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.483 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698381.483 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698381.483 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698381.483 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698381.484 * * [misc]simplify: Extracting #5: cost 12 inf + 1263 1550698381.516 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550698381.530 * * [misc]simplify: Extracting #7: cost 0 inf + 5857 1550698381.531 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698381.531 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 1))) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))))) 1550698381.535 * * * * [misc]progress: [ 105 / 250 ] simplifiying candidate # 1550698381.536 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698381.536 * * [misc]simplify: iters left: 6 (12 enodes) 1550698381.566 * * [misc]simplify: iters left: 5 (40 enodes) 1550698381.586 * * [misc]simplify: iters left: 4 (49 enodes) 1550698381.601 * * [misc]simplify: iters left: 3 (54 enodes) 1550698381.616 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.616 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698381.616 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698381.616 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698381.617 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698381.617 * * [misc]simplify: Extracting #5: cost 12 inf + 1263 1550698381.618 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550698381.619 * * [misc]simplify: Extracting #7: cost 0 inf + 5857 1550698381.620 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698381.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) 1)) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))))) 1550698381.620 * * * * [misc]progress: [ 106 / 250 ] simplifiying candidate # 1550698381.621 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (fma -1/2 k 1/2)))) 1550698381.621 * * [misc]simplify: iters left: 6 (12 enodes) 1550698381.635 * * [misc]simplify: iters left: 5 (42 enodes) 1550698381.649 * * [misc]simplify: iters left: 4 (49 enodes) 1550698381.672 * * [misc]simplify: iters left: 3 (57 enodes) 1550698381.696 * * [misc]simplify: iters left: 2 (58 enodes) 1550698381.715 * * [misc]simplify: iters left: 1 (60 enodes) 1550698381.731 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.731 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698381.731 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698381.731 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550698381.731 * * [misc]simplify: Extracting #4: cost 16 inf + 6 1550698381.731 * * [misc]simplify: Extracting #5: cost 10 inf + 744 1550698381.732 * * [misc]simplify: Extracting #6: cost 3 inf + 3120 1550698381.733 * * [misc]simplify: Extracting #7: cost 0 inf + 4340 1550698381.734 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (sqrt (pow PI (fma k -1/2 1/2)))) 1550698381.734 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (sqrt k))) (* (pow n (fma k -1/2 1/2)) (sqrt (pow PI (fma k -1/2 1/2)))))) 1550698381.734 * * * * [misc]progress: [ 107 / 250 ] simplifiying candidate # 1550698381.737 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698381.737 * * [misc]simplify: iters left: 6 (12 enodes) 1550698381.744 * * [misc]simplify: iters left: 5 (38 enodes) 1550698381.847 * * [misc]simplify: iters left: 4 (42 enodes) 1550698381.881 * * [misc]simplify: iters left: 3 (43 enodes) 1550698381.899 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.899 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698381.899 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698381.899 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550698381.899 * * [misc]simplify: Extracting #4: cost 16 inf + 45 1550698381.900 * * [misc]simplify: Extracting #5: cost 8 inf + 825 1550698381.900 * * [misc]simplify: Extracting #6: cost 4 inf + 2061 1550698381.903 * * [misc]simplify: Extracting #7: cost 1 inf + 3599 1550698381.904 * * [misc]simplify: Extracting #8: cost 0 inf + 4279 1550698381.905 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698381.906 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698381.911 * * * * [misc]progress: [ 108 / 250 ] simplifiying candidate # 1550698381.911 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698381.911 * * [misc]simplify: iters left: 6 (12 enodes) 1550698381.932 * * [misc]simplify: iters left: 5 (38 enodes) 1550698381.946 * * [misc]simplify: iters left: 4 (42 enodes) 1550698381.959 * * [misc]simplify: iters left: 3 (43 enodes) 1550698381.975 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698381.975 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698381.975 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698381.975 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550698381.975 * * [misc]simplify: Extracting #4: cost 16 inf + 45 1550698381.976 * * [misc]simplify: Extracting #5: cost 8 inf + 825 1550698381.976 * * [misc]simplify: Extracting #6: cost 4 inf + 2061 1550698381.977 * * [misc]simplify: Extracting #7: cost 1 inf + 3479 1550698381.977 * * [misc]simplify: Extracting #8: cost 0 inf + 4119 1550698381.978 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698381.978 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1550698381.978 * * * * [misc]progress: [ 109 / 250 ] simplifiying candidate # 1550698381.979 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n 1/2))) 1550698381.979 * * [misc]simplify: iters left: 6 (12 enodes) 1550698382.005 * * [misc]simplify: iters left: 5 (41 enodes) 1550698382.024 * * [misc]simplify: iters left: 4 (50 enodes) 1550698382.039 * * [misc]simplify: iters left: 3 (55 enodes) 1550698382.051 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.051 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.051 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698382.051 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1550698382.051 * * [misc]simplify: Extracting #4: cost 15 inf + 370 1550698382.052 * * [misc]simplify: Extracting #5: cost 9 inf + 1184 1550698382.052 * * [misc]simplify: Extracting #6: cost 2 inf + 3271 1550698382.053 * * [misc]simplify: Extracting #7: cost 0 inf + 4131 1550698382.054 * [exit]simplify: Simplified to (/ (* (sqrt n) (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))) 1550698382.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k))))) (/ (* (sqrt n) (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))))) 1550698382.054 * * * * [misc]progress: [ 110 / 250 ] simplifiying candidate # 1550698382.054 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698382.054 * * [misc]simplify: iters left: 6 (13 enodes) 1550698382.061 * * [misc]simplify: iters left: 5 (43 enodes) 1550698382.069 * * [misc]simplify: iters left: 4 (52 enodes) 1550698382.093 * * [misc]simplify: iters left: 3 (57 enodes) 1550698382.106 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.106 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.106 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.106 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698382.106 * * [misc]simplify: Extracting #4: cost 17 inf + 371 1550698382.106 * * [misc]simplify: Extracting #5: cost 13 inf + 1009 1550698382.107 * * [misc]simplify: Extracting #6: cost 3 inf + 5110 1550698382.108 * * [misc]simplify: Extracting #7: cost 0 inf + 6899 1550698382.109 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))) 1550698382.109 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))))) 1550698382.110 * * * * [misc]progress: [ 111 / 250 ] simplifiying candidate # 1550698382.110 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698382.110 * * [misc]simplify: iters left: 6 (13 enodes) 1550698382.118 * * [misc]simplify: iters left: 5 (43 enodes) 1550698382.131 * * [misc]simplify: iters left: 4 (52 enodes) 1550698382.145 * * [misc]simplify: iters left: 3 (57 enodes) 1550698382.159 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.159 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.159 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.160 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698382.160 * * [misc]simplify: Extracting #4: cost 17 inf + 371 1550698382.160 * * [misc]simplify: Extracting #5: cost 13 inf + 1009 1550698382.161 * * [misc]simplify: Extracting #6: cost 3 inf + 4870 1550698382.162 * * [misc]simplify: Extracting #7: cost 0 inf + 6579 1550698382.163 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))) 1550698382.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2)))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))))) 1550698382.164 * * * * [misc]progress: [ 112 / 250 ] simplifiying candidate # 1550698382.164 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698382.164 * * [misc]simplify: iters left: 6 (12 enodes) 1550698382.170 * * [misc]simplify: iters left: 5 (40 enodes) 1550698382.183 * * [misc]simplify: iters left: 4 (49 enodes) 1550698382.198 * * [misc]simplify: iters left: 3 (54 enodes) 1550698382.215 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.215 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.215 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.215 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1550698382.215 * * [misc]simplify: Extracting #4: cost 16 inf + 329 1550698382.216 * * [misc]simplify: Extracting #5: cost 10 inf + 1505 1550698382.217 * * [misc]simplify: Extracting #6: cost 1 inf + 5041 1550698382.218 * * [misc]simplify: Extracting #7: cost 0 inf + 5721 1550698382.219 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k))) (pow n (fma k -1/2 1/2))) 1550698382.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (* (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k))) (pow n (fma k -1/2 1/2))))) 1550698382.219 * * * * [misc]progress: [ 113 / 250 ] simplifiying candidate # 1550698382.219 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550698382.219 * * [misc]simplify: iters left: 6 (12 enodes) 1550698382.226 * * [misc]simplify: iters left: 5 (41 enodes) 1550698382.239 * * [misc]simplify: iters left: 4 (50 enodes) 1550698382.312 * * [misc]simplify: iters left: 3 (55 enodes) 1550698382.334 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.334 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.334 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698382.334 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1550698382.334 * * [misc]simplify: Extracting #4: cost 15 inf + 290 1550698382.335 * * [misc]simplify: Extracting #5: cost 9 inf + 1024 1550698382.336 * * [misc]simplify: Extracting #6: cost 2 inf + 2991 1550698382.337 * * [misc]simplify: Extracting #7: cost 0 inf + 3811 1550698382.337 * [exit]simplify: Simplified to (/ (* (sqrt n) (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))) 1550698382.338 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ (sqrt (sqrt k)) (pow n (* -1/2 k))))) (/ (* (sqrt n) (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))))) 1550698382.339 * * * * [misc]progress: [ 114 / 250 ] simplifiying candidate # 1550698382.340 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698382.340 * * [misc]simplify: iters left: 6 (13 enodes) 1550698382.349 * * [misc]simplify: iters left: 5 (43 enodes) 1550698382.363 * * [misc]simplify: iters left: 4 (52 enodes) 1550698382.379 * * [misc]simplify: iters left: 3 (57 enodes) 1550698382.395 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.395 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.395 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.395 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698382.395 * * [misc]simplify: Extracting #4: cost 17 inf + 291 1550698382.396 * * [misc]simplify: Extracting #5: cost 13 inf + 929 1550698382.397 * * [misc]simplify: Extracting #6: cost 3 inf + 4870 1550698382.398 * * [misc]simplify: Extracting #7: cost 0 inf + 6579 1550698382.399 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))) 1550698382.399 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))))) 1550698382.399 * * * * [misc]progress: [ 115 / 250 ] simplifiying candidate # 1550698382.400 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698382.400 * * [misc]simplify: iters left: 6 (13 enodes) 1550698382.409 * * [misc]simplify: iters left: 5 (43 enodes) 1550698382.423 * * [misc]simplify: iters left: 4 (52 enodes) 1550698382.439 * * [misc]simplify: iters left: 3 (57 enodes) 1550698382.456 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.456 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.456 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.456 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698382.456 * * [misc]simplify: Extracting #4: cost 17 inf + 291 1550698382.457 * * [misc]simplify: Extracting #5: cost 13 inf + 929 1550698382.457 * * [misc]simplify: Extracting #6: cost 3 inf + 4630 1550698382.459 * * [misc]simplify: Extracting #7: cost 0 inf + 6259 1550698382.460 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))) 1550698382.460 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))))) 1550698382.460 * * * * [misc]progress: [ 116 / 250 ] simplifiying candidate # 1550698382.466 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698382.466 * * [misc]simplify: iters left: 6 (12 enodes) 1550698382.472 * * [misc]simplify: iters left: 5 (40 enodes) 1550698382.533 * * [misc]simplify: iters left: 4 (49 enodes) 1550698382.559 * * [misc]simplify: iters left: 3 (54 enodes) 1550698382.575 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.575 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.575 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.575 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1550698382.575 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1550698382.575 * * [misc]simplify: Extracting #5: cost 10 inf + 1425 1550698382.576 * * [misc]simplify: Extracting #6: cost 1 inf + 4761 1550698382.577 * * [misc]simplify: Extracting #7: cost 0 inf + 5401 1550698382.578 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))) (pow n (fma k -1/2 1/2))) 1550698382.579 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ (sqrt (sqrt k)) 1))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))) (pow n (fma k -1/2 1/2))))) 1550698382.579 * * * * [misc]progress: [ 117 / 250 ] simplifiying candidate # 1550698382.580 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n 1/2))) 1550698382.580 * * [misc]simplify: iters left: 5 (11 enodes) 1550698382.586 * * [misc]simplify: iters left: 4 (38 enodes) 1550698382.595 * * [misc]simplify: iters left: 3 (47 enodes) 1550698382.608 * * [misc]simplify: iters left: 2 (52 enodes) 1550698382.618 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.618 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.618 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698382.618 * * [misc]simplify: Extracting #3: cost 16 inf + 86 1550698382.618 * * [misc]simplify: Extracting #4: cost 12 inf + 333 1550698382.618 * * [misc]simplify: Extracting #5: cost 6 inf + 1151 1550698382.619 * * [misc]simplify: Extracting #6: cost 1 inf + 2979 1550698382.619 * * [misc]simplify: Extracting #7: cost 0 inf + 3409 1550698382.620 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (sqrt n))) 1550698382.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ 1 (pow n (* -1/2 k))))) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (sqrt n))))) 1550698382.620 * * * * [misc]progress: [ 118 / 250 ] simplifiying candidate # 1550698382.621 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698382.621 * * [misc]simplify: iters left: 6 (12 enodes) 1550698382.625 * * [misc]simplify: iters left: 5 (40 enodes) 1550698382.637 * * [misc]simplify: iters left: 4 (49 enodes) 1550698382.648 * * [misc]simplify: iters left: 3 (54 enodes) 1550698382.663 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.663 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.663 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.663 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698382.663 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698382.664 * * [misc]simplify: Extracting #5: cost 11 inf + 1692 1550698382.664 * * [misc]simplify: Extracting #6: cost 1 inf + 5497 1550698382.665 * * [misc]simplify: Extracting #7: cost 0 inf + 6177 1550698382.667 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (cbrt (pow n (fma k -1/2 1/2)))) 1550698382.667 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (cbrt (pow n (fma k -1/2 1/2)))))) 1550698382.667 * * * * [misc]progress: [ 119 / 250 ] simplifiying candidate # 1550698382.667 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698382.667 * * [misc]simplify: iters left: 6 (12 enodes) 1550698382.673 * * [misc]simplify: iters left: 5 (40 enodes) 1550698382.773 * * [misc]simplify: iters left: 4 (49 enodes) 1550698382.789 * * [misc]simplify: iters left: 3 (54 enodes) 1550698382.803 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.803 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.803 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.803 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698382.803 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698382.803 * * [misc]simplify: Extracting #5: cost 11 inf + 1612 1550698382.804 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550698382.805 * * [misc]simplify: Extracting #7: cost 0 inf + 5857 1550698382.806 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (sqrt (pow n (fma k -1/2 1/2)))) 1550698382.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ 1 (sqrt (pow n (fma -1/2 k 1/2)))))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (sqrt (pow n (fma k -1/2 1/2)))))) 1550698382.810 * * * * [misc]progress: [ 120 / 250 ] simplifiying candidate # 1550698382.811 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698382.811 * * [misc]simplify: iters left: 6 (11 enodes) 1550698382.817 * * [misc]simplify: iters left: 5 (37 enodes) 1550698382.829 * * [misc]simplify: iters left: 4 (46 enodes) 1550698382.843 * * [misc]simplify: iters left: 3 (51 enodes) 1550698382.857 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.857 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.857 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.857 * * [misc]simplify: Extracting #3: cost 17 inf + 85 1550698382.857 * * [misc]simplify: Extracting #4: cost 15 inf + 129 1550698382.858 * * [misc]simplify: Extracting #5: cost 7 inf + 1792 1550698382.858 * * [misc]simplify: Extracting #6: cost 1 inf + 4479 1550698382.858 * * [misc]simplify: Extracting #7: cost 0 inf + 4999 1550698382.859 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698382.859 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (/ 1 1))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))))) 1550698382.859 * * * * [misc]progress: [ 121 / 250 ] simplifiying candidate # 1550698382.865 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698382.865 * * [misc]simplify: iters left: 6 (11 enodes) 1550698382.868 * * [misc]simplify: iters left: 5 (37 enodes) 1550698382.877 * * [misc]simplify: iters left: 4 (46 enodes) 1550698382.891 * * [misc]simplify: iters left: 3 (51 enodes) 1550698382.905 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698382.905 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698382.905 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698382.905 * * [misc]simplify: Extracting #3: cost 17 inf + 85 1550698382.906 * * [misc]simplify: Extracting #4: cost 15 inf + 129 1550698382.906 * * [misc]simplify: Extracting #5: cost 7 inf + 1792 1550698382.907 * * [misc]simplify: Extracting #6: cost 1 inf + 4479 1550698382.908 * * [misc]simplify: Extracting #7: cost 0 inf + 4999 1550698382.908 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698382.909 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 1)) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))))) 1550698382.909 * * * * [misc]progress: [ 122 / 250 ] simplifiying candidate # 1550698382.909 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ 1 (pow n (fma -1/2 k 1/2)))) 1550698382.909 * * [misc]simplify: iters left: 6 (11 enodes) 1550698382.932 * * [misc]simplify: iters left: 5 (39 enodes) 1550698383.018 * * [misc]simplify: iters left: 4 (46 enodes) 1550698383.079 * * [misc]simplify: iters left: 3 (54 enodes) 1550698383.127 * * [misc]simplify: iters left: 2 (55 enodes) 1550698383.174 * * [misc]simplify: iters left: 1 (57 enodes) 1550698383.222 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698383.222 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698383.222 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698383.222 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1550698383.222 * * [misc]simplify: Extracting #4: cost 13 inf + 48 1550698383.223 * * [misc]simplify: Extracting #5: cost 6 inf + 1323 1550698383.223 * * [misc]simplify: Extracting #6: cost 0 inf + 3562 1550698383.224 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) 1550698383.224 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ 1 (sqrt k))) (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))))) 1550698383.236 * * * * [misc]progress: [ 123 / 250 ] simplifiying candidate # 1550698383.237 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698383.237 * * [misc]simplify: iters left: 6 (11 enodes) 1550698383.248 * * [misc]simplify: iters left: 5 (37 enodes) 1550698383.286 * * [misc]simplify: iters left: 4 (46 enodes) 1550698383.312 * * [misc]simplify: iters left: 3 (51 enodes) 1550698383.328 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698383.328 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698383.328 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698383.328 * * [misc]simplify: Extracting #3: cost 17 inf + 85 1550698383.328 * * [misc]simplify: Extracting #4: cost 15 inf + 129 1550698383.329 * * [misc]simplify: Extracting #5: cost 7 inf + 1792 1550698383.329 * * [misc]simplify: Extracting #6: cost 1 inf + 4479 1550698383.330 * * [misc]simplify: Extracting #7: cost 0 inf + 4999 1550698383.331 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698383.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) 1) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))))) 1550698383.331 * * * * [misc]progress: [ 124 / 250 ] simplifiying candidate # 1550698383.332 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698383.332 * * [misc]simplify: iters left: 6 (10 enodes) 1550698383.369 * * [misc]simplify: iters left: 5 (36 enodes) 1550698383.384 * * [misc]simplify: iters left: 4 (47 enodes) 1550698383.398 * * [misc]simplify: iters left: 3 (50 enodes) 1550698383.415 * * [misc]simplify: iters left: 2 (62 enodes) 1550698383.433 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698383.433 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698383.433 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698383.433 * * [misc]simplify: Extracting #3: cost 15 inf + 3 1550698383.434 * * [misc]simplify: Extracting #4: cost 9 inf + 293 1550698383.434 * * [misc]simplify: Extracting #5: cost 3 inf + 1338 1550698383.435 * * [misc]simplify: Extracting #6: cost 0 inf + 2385 1550698383.435 * [exit]simplify: Simplified to (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1550698383.435 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1550698383.435 * * * * [misc]progress: [ 125 / 250 ] simplifiying candidate # 1550698383.436 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1550698383.436 * * [misc]simplify: iters left: 2 (6 enodes) 1550698383.439 * * [misc]simplify: iters left: 1 (20 enodes) 1550698383.445 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698383.445 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698383.445 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698383.445 * * [misc]simplify: Extracting #3: cost 6 inf + 4 1550698383.445 * * [misc]simplify: Extracting #4: cost 1 inf + 473 1550698383.446 * * [misc]simplify: Extracting #5: cost 0 inf + 742 1550698383.446 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1550698383.446 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (sqrt k))) (pow n (fma -1/2 k 1/2)))) 1550698383.446 * * * * [misc]progress: [ 126 / 250 ] simplifiying candidate # 1550698383.447 * [enter]simplify: Simplifying (pow 2 (* -1/2 k)) 1550698383.447 * * [misc]simplify: iters left: 3 (5 enodes) 1550698383.450 * * [misc]simplify: iters left: 2 (16 enodes) 1550698383.455 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698383.455 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698383.455 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698383.455 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1550698383.455 * [exit]simplify: Simplified to (pow 2 (* k -1/2)) 1550698383.455 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow 2 (* k -1/2)) (* (pow 2 1/2) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698383.456 * * * * [misc]progress: [ 127 / 250 ] simplifiying candidate # 1550698383.456 * [enter]simplify: Simplifying (* (cbrt (pow 2 (fma -1/2 k 1/2))) (cbrt (pow 2 (fma -1/2 k 1/2)))) 1550698383.456 * * [misc]simplify: iters left: 5 (8 enodes) 1550698383.459 * * [misc]simplify: iters left: 4 (26 enodes) 1550698383.467 * * [misc]simplify: iters left: 3 (30 enodes) 1550698383.477 * * [misc]simplify: iters left: 2 (31 enodes) 1550698383.487 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698383.487 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698383.487 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698383.487 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550698383.487 * * [misc]simplify: Extracting #4: cost 12 inf + 1 1550698383.487 * * [misc]simplify: Extracting #5: cost 10 inf + 4 1550698383.487 * * [misc]simplify: Extracting #6: cost 5 inf + 473 1550698383.488 * * [misc]simplify: Extracting #7: cost 1 inf + 1829 1550698383.488 * * [misc]simplify: Extracting #8: cost 0 inf + 2218 1550698383.488 * [exit]simplify: Simplified to (* (cbrt (pow 2 (fma k -1/2 1/2))) (cbrt (pow 2 (fma k -1/2 1/2)))) 1550698383.488 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow 2 (fma k -1/2 1/2))) (cbrt (pow 2 (fma k -1/2 1/2)))) (* (cbrt (pow 2 (fma -1/2 k 1/2))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698383.489 * * * * [misc]progress: [ 128 / 250 ] simplifiying candidate # 1550698383.489 * [enter]simplify: Simplifying (sqrt (pow 2 (fma -1/2 k 1/2))) 1550698383.489 * * [misc]simplify: iters left: 3 (7 enodes) 1550698383.493 * * [misc]simplify: iters left: 2 (23 enodes) 1550698383.501 * * [misc]simplify: iters left: 1 (27 enodes) 1550698383.510 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698383.510 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698383.510 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698383.510 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698383.510 * * [misc]simplify: Extracting #4: cost 8 inf + 4 1550698383.511 * * [misc]simplify: Extracting #5: cost 2 inf + 782 1550698383.511 * * [misc]simplify: Extracting #6: cost 0 inf + 1360 1550698383.511 * [exit]simplify: Simplified to (sqrt (pow 2 (fma k -1/2 1/2))) 1550698383.511 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow 2 (fma k -1/2 1/2))) (* (sqrt (pow 2 (fma -1/2 k 1/2))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698383.511 * * * * [misc]progress: [ 129 / 250 ] simplifiying candidate # 1550698383.512 * * * * [misc]progress: [ 130 / 250 ] simplifiying candidate # 1550698383.512 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1550698383.512 * * [misc]simplify: iters left: 4 (8 enodes) 1550698383.516 * * [misc]simplify: iters left: 3 (26 enodes) 1550698383.525 * * [misc]simplify: iters left: 2 (30 enodes) 1550698383.535 * * [misc]simplify: iters left: 1 (31 enodes) 1550698383.544 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698383.544 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698383.544 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698383.544 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1550698383.544 * * [misc]simplify: Extracting #4: cost 8 inf + 103 1550698383.545 * * [misc]simplify: Extracting #5: cost 1 inf + 1173 1550698383.545 * * [misc]simplify: Extracting #6: cost 0 inf + 1522 1550698383.545 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1550698383.545 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698383.546 * * * * [misc]progress: [ 131 / 250 ] simplifiying candidate #real (real->posit16 (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))))> 1550698383.546 * * * * [misc]progress: [ 132 / 250 ] simplifiying candidate # 1550698383.546 * * * * [misc]progress: [ 133 / 250 ] simplifiying candidate # 1550698383.546 * * * * [misc]progress: [ 134 / 250 ] simplifiying candidate # 1550698383.546 * * * * [misc]progress: [ 135 / 250 ] simplifiying candidate # 1550698383.546 * * * * [misc]progress: [ 136 / 250 ] simplifiying candidate # 1550698383.546 * [enter]simplify: Simplifying (- (* (log PI) (fma -1/2 k 1/2)) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2)))) 1550698383.546 * * [misc]simplify: iters left: 6 (14 enodes) 1550698383.554 * * [misc]simplify: iters left: 5 (53 enodes) 1550698383.573 * * [misc]simplify: iters left: 4 (92 enodes) 1550698383.652 * * [misc]simplify: iters left: 3 (212 enodes) 1550698383.873 * * [misc]simplify: iters left: 2 (456 enodes) 1550698384.478 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698384.478 * * [misc]simplify: Extracting #1: cost 57 inf + 0 1550698384.480 * * [misc]simplify: Extracting #2: cost 156 inf + 119 1550698384.482 * * [misc]simplify: Extracting #3: cost 128 inf + 3782 1550698384.493 * * [misc]simplify: Extracting #4: cost 42 inf + 27611 1550698384.514 * * [misc]simplify: Extracting #5: cost 0 inf + 42337 1550698384.537 * [exit]simplify: Simplified to (- (* (fma -1/2 k 1/2) (+ (log PI) (log n))) (log (sqrt k))) 1550698384.537 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (exp (- (* (fma -1/2 k 1/2) (+ (log PI) (log n))) (log (sqrt k)))))) 1550698384.538 * * * * [misc]progress: [ 137 / 250 ] simplifiying candidate # 1550698384.538 * [enter]simplify: Simplifying (- (* (log PI) (fma -1/2 k 1/2)) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2))))) 1550698384.538 * * [misc]simplify: iters left: 6 (14 enodes) 1550698384.545 * * [misc]simplify: iters left: 5 (54 enodes) 1550698384.562 * * [misc]simplify: iters left: 4 (88 enodes) 1550698384.593 * * [misc]simplify: iters left: 3 (167 enodes) 1550698384.673 * * [misc]simplify: iters left: 2 (381 enodes) 1550698384.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698384.901 * * [misc]simplify: Extracting #1: cost 56 inf + 0 1550698384.902 * * [misc]simplify: Extracting #2: cost 168 inf + 161 1550698384.904 * * [misc]simplify: Extracting #3: cost 160 inf + 1662 1550698384.908 * * [misc]simplify: Extracting #4: cost 126 inf + 8680 1550698384.938 * * [misc]simplify: Extracting #5: cost 32 inf + 37407 1550698384.960 * * [misc]simplify: Extracting #6: cost 0 inf + 47753 1550698384.981 * * [misc]simplify: Extracting #7: cost 0 inf + 47698 1550698385.002 * [exit]simplify: Simplified to (- (* (fma -1/2 k 1/2) (+ (log n) (log PI))) (log (sqrt k))) 1550698385.002 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (exp (- (* (fma -1/2 k 1/2) (+ (log n) (log PI))) (log (sqrt k)))))) 1550698385.002 * * * * [misc]progress: [ 138 / 250 ] simplifiying candidate # 1550698385.003 * [enter]simplify: Simplifying (- (* (log PI) (fma -1/2 k 1/2)) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698385.003 * * [misc]simplify: iters left: 6 (13 enodes) 1550698385.010 * * [misc]simplify: iters left: 5 (48 enodes) 1550698385.026 * * [misc]simplify: iters left: 4 (72 enodes) 1550698385.091 * * [misc]simplify: iters left: 3 (128 enodes) 1550698385.202 * * [misc]simplify: iters left: 2 (228 enodes) 1550698385.395 * * [misc]simplify: iters left: 1 (416 enodes) 1550698385.853 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698385.853 * * [misc]simplify: Extracting #1: cost 68 inf + 0 1550698385.855 * * [misc]simplify: Extracting #2: cost 203 inf + 103 1550698385.858 * * [misc]simplify: Extracting #3: cost 183 inf + 5218 1550698385.953 * * [misc]simplify: Extracting #4: cost 63 inf + 40868 1550698385.971 * * [misc]simplify: Extracting #5: cost 1 inf + 60121 1550698385.992 * * [misc]simplify: Extracting #6: cost 0 inf + 60531 1550698386.016 * * [misc]simplify: Extracting #7: cost 0 inf + 60476 1550698386.041 * [exit]simplify: Simplified to (- (* (+ (log PI) (log n)) (fma -1/2 k 1/2)) (log (sqrt k))) 1550698386.041 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (exp (- (* (+ (log PI) (log n)) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1550698386.041 * * * * [misc]progress: [ 139 / 250 ] simplifiying candidate # 1550698386.041 * [enter]simplify: Simplifying (- (log (pow PI (fma -1/2 k 1/2))) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2)))) 1550698386.041 * * [misc]simplify: iters left: 6 (14 enodes) 1550698386.049 * * [misc]simplify: iters left: 5 (53 enodes) 1550698386.066 * * [misc]simplify: iters left: 4 (88 enodes) 1550698386.237 * * [misc]simplify: iters left: 3 (178 enodes) 1550698386.358 * * [misc]simplify: iters left: 2 (411 enodes) 1550698386.865 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698386.865 * * [misc]simplify: Extracting #1: cost 54 inf + 0 1550698386.866 * * [misc]simplify: Extracting #2: cost 179 inf + 3 1550698386.869 * * [misc]simplify: Extracting #3: cost 165 inf + 1661 1550698386.874 * * [misc]simplify: Extracting #4: cost 116 inf + 11250 1550698386.892 * * [misc]simplify: Extracting #5: cost 29 inf + 38645 1550698386.916 * * [misc]simplify: Extracting #6: cost 0 inf + 49013 1550698386.940 * [exit]simplify: Simplified to (- (* (fma k -1/2 1/2) (+ (log n) (log PI))) (log (sqrt k))) 1550698386.940 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (exp (- (* (fma k -1/2 1/2) (+ (log n) (log PI))) (log (sqrt k)))))) 1550698386.940 * * * * [misc]progress: [ 140 / 250 ] simplifiying candidate # 1550698386.941 * [enter]simplify: Simplifying (- (log (pow PI (fma -1/2 k 1/2))) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2))))) 1550698386.941 * * [misc]simplify: iters left: 6 (14 enodes) 1550698386.948 * * [misc]simplify: iters left: 5 (54 enodes) 1550698386.965 * * [misc]simplify: iters left: 4 (84 enodes) 1550698386.993 * * [misc]simplify: iters left: 3 (133 enodes) 1550698387.167 * * [misc]simplify: iters left: 2 (331 enodes) 1550698387.543 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698387.543 * * [misc]simplify: Extracting #1: cost 62 inf + 0 1550698387.545 * * [misc]simplify: Extracting #2: cost 198 inf + 3 1550698387.548 * * [misc]simplify: Extracting #3: cost 179 inf + 6870 1550698387.725 * * [misc]simplify: Extracting #4: cost 83 inf + 34040 1550698387.788 * * [misc]simplify: Extracting #5: cost 1 inf + 57749 1550698387.832 * * [misc]simplify: Extracting #6: cost 0 inf + 57997 1550698387.854 * [exit]simplify: Simplified to (- (* (+ (log n) (log PI)) (fma k -1/2 1/2)) (log (sqrt k))) 1550698387.855 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (exp (- (* (+ (log n) (log PI)) (fma k -1/2 1/2)) (log (sqrt k)))))) 1550698387.855 * * * * [misc]progress: [ 141 / 250 ] simplifiying candidate # 1550698387.855 * [enter]simplify: Simplifying (- (log (pow PI (fma -1/2 k 1/2))) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698387.855 * * [misc]simplify: iters left: 6 (13 enodes) 1550698387.862 * * [misc]simplify: iters left: 5 (48 enodes) 1550698387.877 * * [misc]simplify: iters left: 4 (69 enodes) 1550698387.898 * * [misc]simplify: iters left: 3 (98 enodes) 1550698387.973 * * [misc]simplify: iters left: 2 (189 enodes) 1550698388.053 * * [misc]simplify: iters left: 1 (382 enodes) 1550698388.331 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698388.331 * * [misc]simplify: Extracting #1: cost 52 inf + 0 1550698388.332 * * [misc]simplify: Extracting #2: cost 163 inf + 3 1550698388.422 * * [misc]simplify: Extracting #3: cost 155 inf + 1665 1550698388.431 * * [misc]simplify: Extracting #4: cost 112 inf + 10510 1550698388.474 * * [misc]simplify: Extracting #5: cost 36 inf + 33645 1550698388.509 * * [misc]simplify: Extracting #6: cost 1 inf + 45151 1550698388.537 * * [misc]simplify: Extracting #7: cost 0 inf + 45591 1550698388.561 * [exit]simplify: Simplified to (- (* (fma k -1/2 1/2) (+ (log n) (log PI))) (log (sqrt k))) 1550698388.562 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (exp (- (* (fma k -1/2 1/2) (+ (log n) (log PI))) (log (sqrt k)))))) 1550698388.566 * * * * [misc]progress: [ 142 / 250 ] simplifiying candidate # 1550698388.569 * * * * [misc]progress: [ 143 / 250 ] simplifiying candidate # 1550698388.569 * * * * [misc]progress: [ 144 / 250 ] simplifiying candidate # 1550698388.569 * [enter]simplify: Simplifying (/ (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) 1550698388.570 * * [misc]simplify: iters left: 6 (17 enodes) 1550698388.594 * * [misc]simplify: iters left: 5 (65 enodes) 1550698388.618 * * [misc]simplify: iters left: 4 (160 enodes) 1550698388.793 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698388.793 * * [misc]simplify: Extracting #1: cost 79 inf + 0 1550698388.794 * * [misc]simplify: Extracting #2: cost 183 inf + 42 1550698388.796 * * [misc]simplify: Extracting #3: cost 187 inf + 248 1550698388.804 * * [misc]simplify: Extracting #4: cost 138 inf + 21609 1550698388.839 * * [misc]simplify: Extracting #5: cost 30 inf + 80600 1550698388.866 * * [misc]simplify: Extracting #6: cost 0 inf + 98301 1550698388.892 * [exit]simplify: Simplified to (* (* (* (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))) (/ (* (pow PI (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k))) (/ (pow PI (fma k -1/2 1/2)) k)) 1550698388.892 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (cbrt (* (* (* (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))) (/ (* (pow PI (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k))) (/ (pow PI (fma k -1/2 1/2)) k))))) 1550698388.892 * * * * [misc]progress: [ 145 / 250 ] simplifiying candidate # 1550698388.892 * [enter]simplify: Simplifying (/ (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2))) (* (* (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698388.892 * * [misc]simplify: iters left: 6 (15 enodes) 1550698388.900 * * [misc]simplify: iters left: 5 (62 enodes) 1550698388.933 * * [misc]simplify: iters left: 4 (140 enodes) 1550698389.002 * * [misc]simplify: iters left: 3 (358 enodes) 1550698389.573 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698389.573 * * [misc]simplify: Extracting #1: cost 82 inf + 0 1550698389.575 * * [misc]simplify: Extracting #2: cost 236 inf + 1 1550698389.579 * * [misc]simplify: Extracting #3: cost 238 inf + 86 1550698389.606 * * [misc]simplify: Extracting #4: cost 182 inf + 25775 1550698389.654 * * [misc]simplify: Extracting #5: cost 24 inf + 116596 1550698389.700 * * [misc]simplify: Extracting #6: cost 0 inf + 131734 1550698389.748 * [exit]simplify: Simplified to (* (* (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2)))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2)))) 1550698389.748 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (cbrt (* (* (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2)))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))))))) 1550698389.748 * * * * [misc]progress: [ 146 / 250 ] simplifiying candidate # 1550698389.748 * * * * [misc]progress: [ 147 / 250 ] simplifiying candidate # 1550698389.749 * * * * [misc]progress: [ 148 / 250 ] simplifiying candidate # 1550698389.749 * * * * [misc]progress: [ 149 / 250 ] simplifiying candidate # 1550698389.749 * * * * [misc]progress: [ 150 / 250 ] simplifiying candidate # 1550698389.749 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698389.749 * * [misc]simplify: iters left: 6 (14 enodes) 1550698389.756 * * [misc]simplify: iters left: 5 (46 enodes) 1550698389.771 * * [misc]simplify: iters left: 4 (50 enodes) 1550698389.788 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698389.788 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698389.788 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1550698389.788 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1550698389.788 * * [misc]simplify: Extracting #4: cost 18 inf + 86 1550698389.788 * * [misc]simplify: Extracting #5: cost 16 inf + 423 1550698389.789 * * [misc]simplify: Extracting #6: cost 12 inf + 1004 1550698389.789 * * [misc]simplify: Extracting #7: cost 2 inf + 5556 1550698389.791 * * [misc]simplify: Extracting #8: cost 0 inf + 6785 1550698389.792 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698389.792 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* k -1/2)) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (pow PI 1/2) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))))) 1550698389.792 * [enter]simplify: Simplifying (/ (pow PI 1/2) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698389.793 * * [misc]simplify: iters left: 6 (12 enodes) 1550698389.799 * * [misc]simplify: iters left: 5 (39 enodes) 1550698389.809 * * [misc]simplify: iters left: 4 (43 enodes) 1550698389.822 * * [misc]simplify: iters left: 3 (44 enodes) 1550698389.833 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698389.833 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698389.833 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698389.833 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550698389.833 * * [misc]simplify: Extracting #4: cost 14 inf + 43 1550698389.834 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1550698389.834 * * [misc]simplify: Extracting #6: cost 10 inf + 269 1550698389.834 * * [misc]simplify: Extracting #7: cost 5 inf + 1256 1550698389.835 * * [misc]simplify: Extracting #8: cost 1 inf + 2973 1550698389.835 * * [misc]simplify: Extracting #9: cost 0 inf + 3483 1550698389.836 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698389.836 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* -1/2 k)) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))))) 1550698389.836 * * * * [misc]progress: [ 151 / 250 ] simplifiying candidate # 1550698389.837 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698389.837 * * [misc]simplify: iters left: 6 (13 enodes) 1550698389.844 * * [misc]simplify: iters left: 5 (41 enodes) 1550698389.856 * * [misc]simplify: iters left: 4 (43 enodes) 1550698389.869 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698389.870 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698389.870 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698389.870 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698389.870 * * [misc]simplify: Extracting #4: cost 13 inf + 128 1550698389.870 * * [misc]simplify: Extracting #5: cost 11 inf + 676 1550698389.870 * * [misc]simplify: Extracting #6: cost 10 inf + 677 1550698389.871 * * [misc]simplify: Extracting #7: cost 7 inf + 1062 1550698389.871 * * [misc]simplify: Extracting #8: cost 3 inf + 2418 1550698389.872 * * [misc]simplify: Extracting #9: cost 0 inf + 4167 1550698389.873 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698389.873 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* k -1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))))) 1550698389.873 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698389.873 * * [misc]simplify: iters left: 6 (12 enodes) 1550698389.880 * * [misc]simplify: iters left: 5 (39 enodes) 1550698389.892 * * [misc]simplify: iters left: 4 (43 enodes) 1550698389.904 * * [misc]simplify: iters left: 3 (44 enodes) 1550698389.913 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698389.913 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698389.913 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698389.913 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550698389.913 * * [misc]simplify: Extracting #4: cost 14 inf + 43 1550698389.913 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1550698389.913 * * [misc]simplify: Extracting #6: cost 10 inf + 269 1550698389.913 * * [misc]simplify: Extracting #7: cost 5 inf + 1256 1550698389.914 * * [misc]simplify: Extracting #8: cost 1 inf + 2853 1550698389.914 * * [misc]simplify: Extracting #9: cost 0 inf + 3323 1550698389.914 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698389.914 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* -1/2 k)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))))) 1550698389.914 * * * * [misc]progress: [ 152 / 250 ] simplifiying candidate # 1550698389.915 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) 1550698389.915 * * [misc]simplify: iters left: 6 (12 enodes) 1550698389.921 * * [misc]simplify: iters left: 5 (41 enodes) 1550698390.026 * * [misc]simplify: iters left: 4 (53 enodes) 1550698390.043 * * [misc]simplify: iters left: 3 (72 enodes) 1550698390.065 * * [misc]simplify: iters left: 2 (78 enodes) 1550698390.086 * * [misc]simplify: iters left: 1 (86 enodes) 1550698390.109 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698390.109 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698390.109 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550698390.109 * * [misc]simplify: Extracting #3: cost 35 inf + 2 1550698390.110 * * [misc]simplify: Extracting #4: cost 32 inf + 45 1550698390.110 * * [misc]simplify: Extracting #5: cost 20 inf + 2730 1550698390.112 * * [misc]simplify: Extracting #6: cost 2 inf + 10848 1550698390.114 * * [misc]simplify: Extracting #7: cost 0 inf + 11965 1550698390.116 * [exit]simplify: Simplified to (* (/ (pow PI (* k -1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (* k -1/2))) 1550698390.117 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (pow PI (* k -1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (* k -1/2))) (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (pow n 1/2)))))) 1550698390.117 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (pow n 1/2))) 1550698390.117 * * [misc]simplify: iters left: 6 (10 enodes) 1550698390.122 * * [misc]simplify: iters left: 5 (34 enodes) 1550698390.134 * * [misc]simplify: iters left: 4 (39 enodes) 1550698390.145 * * [misc]simplify: iters left: 3 (43 enodes) 1550698390.157 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698390.157 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698390.157 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698390.157 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1550698390.157 * * [misc]simplify: Extracting #4: cost 12 inf + 168 1550698390.158 * * [misc]simplify: Extracting #5: cost 4 inf + 1302 1550698390.158 * * [misc]simplify: Extracting #6: cost 1 inf + 1908 1550698390.159 * * [misc]simplify: Extracting #7: cost 0 inf + 2110 1550698390.160 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt k))) 1550698390.160 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt k)))))) 1550698390.160 * * * * [misc]progress: [ 153 / 250 ] simplifiying candidate # 1550698390.169 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698390.169 * * [misc]simplify: iters left: 6 (16 enodes) 1550698390.193 * * [misc]simplify: iters left: 5 (58 enodes) 1550698390.434 * * [misc]simplify: iters left: 4 (89 enodes) 1550698390.468 * * [misc]simplify: iters left: 3 (128 enodes) 1550698390.511 * * [misc]simplify: iters left: 2 (165 enodes) 1550698390.606 * * [misc]simplify: iters left: 1 (191 enodes) 1550698390.854 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698390.855 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1550698390.855 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1550698390.855 * * [misc]simplify: Extracting #3: cost 61 inf + 1 1550698390.856 * * [misc]simplify: Extracting #4: cost 55 inf + 529 1550698390.857 * * [misc]simplify: Extracting #5: cost 46 inf + 2680 1550698390.860 * * [misc]simplify: Extracting #6: cost 21 inf + 15740 1550698390.866 * * [misc]simplify: Extracting #7: cost 2 inf + 28423 1550698390.874 * * [misc]simplify: Extracting #8: cost 0 inf + 29441 1550698390.878 * [exit]simplify: Simplified to (/ (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698390.880 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698390.881 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698390.881 * * [misc]simplify: iters left: 6 (13 enodes) 1550698390.887 * * [misc]simplify: iters left: 5 (44 enodes) 1550698390.901 * * [misc]simplify: iters left: 4 (53 enodes) 1550698390.918 * * [misc]simplify: iters left: 3 (58 enodes) 1550698390.934 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698390.934 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698390.935 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698390.935 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550698390.935 * * [misc]simplify: Extracting #4: cost 20 inf + 86 1550698390.935 * * [misc]simplify: Extracting #5: cost 13 inf + 717 1550698390.936 * * [misc]simplify: Extracting #6: cost 2 inf + 4598 1550698390.937 * * [misc]simplify: Extracting #7: cost 0 inf + 5309 1550698390.938 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698390.938 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698390.939 * * * * [misc]progress: [ 154 / 250 ] simplifiying candidate # 1550698390.943 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698390.943 * * [misc]simplify: iters left: 6 (15 enodes) 1550698390.961 * * [misc]simplify: iters left: 5 (51 enodes) 1550698390.978 * * [misc]simplify: iters left: 4 (65 enodes) 1550698391.047 * * [misc]simplify: iters left: 3 (84 enodes) 1550698391.090 * * [misc]simplify: iters left: 2 (90 enodes) 1550698391.115 * * [misc]simplify: iters left: 1 (98 enodes) 1550698391.141 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698391.141 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698391.142 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550698391.142 * * [misc]simplify: Extracting #3: cost 39 inf + 1 1550698391.142 * * [misc]simplify: Extracting #4: cost 37 inf + 45 1550698391.143 * * [misc]simplify: Extracting #5: cost 21 inf + 3536 1550698391.145 * * [misc]simplify: Extracting #6: cost 2 inf + 12762 1550698391.148 * * [misc]simplify: Extracting #7: cost 0 inf + 13644 1550698391.151 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (/ (sqrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))))) 1550698391.154 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* k -1/2)) (/ (cbrt (sqrt k)) (/ (sqrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))))) (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698391.158 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698391.158 * * [misc]simplify: iters left: 6 (13 enodes) 1550698391.164 * * [misc]simplify: iters left: 5 (44 enodes) 1550698391.178 * * [misc]simplify: iters left: 4 (53 enodes) 1550698391.193 * * [misc]simplify: iters left: 3 (58 enodes) 1550698391.260 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698391.260 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698391.260 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698391.260 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550698391.260 * * [misc]simplify: Extracting #4: cost 20 inf + 86 1550698391.260 * * [misc]simplify: Extracting #5: cost 13 inf + 717 1550698391.261 * * [misc]simplify: Extracting #6: cost 2 inf + 4318 1550698391.262 * * [misc]simplify: Extracting #7: cost 0 inf + 4989 1550698391.263 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698391.267 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698391.268 * * * * [misc]progress: [ 155 / 250 ] simplifiying candidate # 1550698391.278 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1550698391.278 * * [misc]simplify: iters left: 6 (11 enodes) 1550698391.300 * * [misc]simplify: iters left: 5 (38 enodes) 1550698391.329 * * [misc]simplify: iters left: 4 (53 enodes) 1550698391.353 * * [misc]simplify: iters left: 3 (64 enodes) 1550698391.371 * * [misc]simplify: iters left: 2 (71 enodes) 1550698391.392 * * [misc]simplify: iters left: 1 (84 enodes) 1550698391.419 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698391.419 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1550698391.419 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1550698391.419 * * [misc]simplify: Extracting #3: cost 25 inf + 2 1550698391.419 * * [misc]simplify: Extracting #4: cost 22 inf + 45 1550698391.420 * * [misc]simplify: Extracting #5: cost 12 inf + 1854 1550698391.421 * * [misc]simplify: Extracting #6: cost 1 inf + 5432 1550698391.423 * * [misc]simplify: Extracting #7: cost 0 inf + 5634 1550698391.425 * [exit]simplify: Simplified to (/ (/ (pow PI (* k -1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1550698391.425 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (/ (pow PI (* k -1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))))))) 1550698391.425 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698391.425 * * [misc]simplify: iters left: 6 (12 enodes) 1550698391.431 * * [misc]simplify: iters left: 5 (41 enodes) 1550698391.444 * * [misc]simplify: iters left: 4 (50 enodes) 1550698391.477 * * [misc]simplify: iters left: 3 (55 enodes) 1550698391.524 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698391.525 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698391.525 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698391.525 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1550698391.525 * * [misc]simplify: Extracting #4: cost 13 inf + 618 1550698391.526 * * [misc]simplify: Extracting #5: cost 2 inf + 3271 1550698391.527 * * [misc]simplify: Extracting #6: cost 0 inf + 4131 1550698391.528 * [exit]simplify: Simplified to (/ (* (sqrt PI) (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1550698391.528 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (/ (pow PI (* k -1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (sqrt PI) (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k)))))) 1550698391.528 * * * * [misc]progress: [ 156 / 250 ] simplifiying candidate # 1550698391.528 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) 1550698391.528 * * [misc]simplify: iters left: 6 (11 enodes) 1550698391.534 * * [misc]simplify: iters left: 5 (36 enodes) 1550698391.544 * * [misc]simplify: iters left: 4 (41 enodes) 1550698391.556 * * [misc]simplify: iters left: 3 (45 enodes) 1550698391.568 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698391.568 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698391.569 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698391.569 * * [misc]simplify: Extracting #3: cost 20 inf + 2 1550698391.569 * * [misc]simplify: Extracting #4: cost 16 inf + 87 1550698391.569 * * [misc]simplify: Extracting #5: cost 6 inf + 2210 1550698391.570 * * [misc]simplify: Extracting #6: cost 0 inf + 5092 1550698391.571 * [exit]simplify: Simplified to (* (/ (pow PI (* k -1/2)) (sqrt (sqrt k))) (pow n (* k -1/2))) 1550698391.571 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (pow PI (* k -1/2)) (sqrt (sqrt k))) (pow n (* k -1/2))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2)))))) 1550698391.571 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550698391.572 * * [misc]simplify: iters left: 6 (10 enodes) 1550698391.577 * * [misc]simplify: iters left: 5 (34 enodes) 1550698391.586 * * [misc]simplify: iters left: 4 (39 enodes) 1550698391.598 * * [misc]simplify: iters left: 3 (43 enodes) 1550698391.609 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698391.609 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698391.610 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698391.610 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1550698391.610 * * [misc]simplify: Extracting #4: cost 12 inf + 168 1550698391.610 * * [misc]simplify: Extracting #5: cost 4 inf + 1142 1550698391.611 * * [misc]simplify: Extracting #6: cost 1 inf + 1628 1550698391.611 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 1550698391.612 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1550698391.612 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k)))))) 1550698391.612 * * * * [misc]progress: [ 157 / 250 ] simplifiying candidate # 1550698391.613 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698391.613 * * [misc]simplify: iters left: 6 (15 enodes) 1550698391.621 * * [misc]simplify: iters left: 5 (51 enodes) 1550698391.636 * * [misc]simplify: iters left: 4 (64 enodes) 1550698391.655 * * [misc]simplify: iters left: 3 (76 enodes) 1550698391.732 * * [misc]simplify: iters left: 2 (84 enodes) 1550698391.764 * * [misc]simplify: iters left: 1 (90 enodes) 1550698391.788 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698391.788 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1550698391.789 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1550698391.789 * * [misc]simplify: Extracting #3: cost 36 inf + 1 1550698391.789 * * [misc]simplify: Extracting #4: cost 34 inf + 45 1550698391.789 * * [misc]simplify: Extracting #5: cost 27 inf + 917 1550698391.790 * * [misc]simplify: Extracting #6: cost 11 inf + 6781 1550698391.793 * * [misc]simplify: Extracting #7: cost 1 inf + 12937 1550698391.796 * * [misc]simplify: Extracting #8: cost 0 inf + 13697 1550698391.798 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (pow PI (* k -1/2)))) 1550698391.803 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (pow PI (* k -1/2)))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698391.804 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698391.804 * * [misc]simplify: iters left: 6 (13 enodes) 1550698391.810 * * [misc]simplify: iters left: 5 (44 enodes) 1550698391.824 * * [misc]simplify: iters left: 4 (53 enodes) 1550698391.841 * * [misc]simplify: iters left: 3 (58 enodes) 1550698391.856 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698391.856 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698391.856 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698391.856 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550698391.857 * * [misc]simplify: Extracting #4: cost 20 inf + 86 1550698391.857 * * [misc]simplify: Extracting #5: cost 13 inf + 677 1550698391.858 * * [misc]simplify: Extracting #6: cost 2 inf + 4358 1550698391.859 * * [misc]simplify: Extracting #7: cost 0 inf + 4989 1550698391.860 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698391.860 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698391.860 * * * * [misc]progress: [ 158 / 250 ] simplifiying candidate # 1550698391.861 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698391.861 * * [misc]simplify: iters left: 6 (14 enodes) 1550698391.869 * * [misc]simplify: iters left: 5 (46 enodes) 1550698391.884 * * [misc]simplify: iters left: 4 (53 enodes) 1550698391.974 * * [misc]simplify: iters left: 3 (57 enodes) 1550698392.002 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.002 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698392.002 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698392.002 * * [misc]simplify: Extracting #3: cost 24 inf + 1 1550698392.002 * * [misc]simplify: Extracting #4: cost 22 inf + 45 1550698392.002 * * [misc]simplify: Extracting #5: cost 15 inf + 602 1550698392.003 * * [misc]simplify: Extracting #6: cost 4 inf + 4233 1550698392.004 * * [misc]simplify: Extracting #7: cost 0 inf + 6355 1550698392.005 * [exit]simplify: Simplified to (* (sqrt (pow n (fma -1/2 k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))) 1550698392.007 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (sqrt (pow n (fma -1/2 k 1/2))) (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698392.009 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698392.010 * * [misc]simplify: iters left: 6 (13 enodes) 1550698392.016 * * [misc]simplify: iters left: 5 (44 enodes) 1550698392.030 * * [misc]simplify: iters left: 4 (53 enodes) 1550698392.046 * * [misc]simplify: iters left: 3 (58 enodes) 1550698392.062 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.062 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698392.062 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698392.063 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1550698392.063 * * [misc]simplify: Extracting #4: cost 20 inf + 86 1550698392.063 * * [misc]simplify: Extracting #5: cost 13 inf + 677 1550698392.064 * * [misc]simplify: Extracting #6: cost 2 inf + 4078 1550698392.065 * * [misc]simplify: Extracting #7: cost 0 inf + 4669 1550698392.066 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698392.066 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698392.066 * * * * [misc]progress: [ 159 / 250 ] simplifiying candidate # 1550698392.067 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ (sqrt (sqrt k)) 1)) 1550698392.067 * * [misc]simplify: iters left: 6 (10 enodes) 1550698392.072 * * [misc]simplify: iters left: 5 (33 enodes) 1550698392.084 * * [misc]simplify: iters left: 4 (37 enodes) 1550698392.109 * * [misc]simplify: iters left: 3 (40 enodes) 1550698392.126 * * [misc]simplify: iters left: 2 (41 enodes) 1550698392.140 * * [misc]simplify: iters left: 1 (43 enodes) 1550698392.153 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.153 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698392.153 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1550698392.153 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1550698392.153 * * [misc]simplify: Extracting #4: cost 9 inf + 128 1550698392.154 * * [misc]simplify: Extracting #5: cost 3 inf + 1211 1550698392.154 * * [misc]simplify: Extracting #6: cost 0 inf + 2330 1550698392.155 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (sqrt (sqrt k))) 1550698392.155 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* k -1/2)) (sqrt (sqrt k))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))))))) 1550698392.155 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698392.155 * * [misc]simplify: iters left: 6 (12 enodes) 1550698392.161 * * [misc]simplify: iters left: 5 (41 enodes) 1550698392.317 * * [misc]simplify: iters left: 4 (50 enodes) 1550698392.330 * * [misc]simplify: iters left: 3 (55 enodes) 1550698392.341 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.341 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698392.341 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698392.341 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1550698392.341 * * [misc]simplify: Extracting #4: cost 13 inf + 578 1550698392.342 * * [misc]simplify: Extracting #5: cost 2 inf + 2991 1550698392.343 * * [misc]simplify: Extracting #6: cost 0 inf + 3811 1550698392.344 * [exit]simplify: Simplified to (/ (* (sqrt PI) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698392.345 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* k -1/2)) (sqrt (sqrt k))) (/ (* (sqrt PI) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k)))))) 1550698392.345 * * * * [misc]progress: [ 160 / 250 ] simplifiying candidate # 1550698392.345 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ 1 (pow n (* -1/2 k)))) 1550698392.345 * * [misc]simplify: iters left: 6 (10 enodes) 1550698392.352 * * [misc]simplify: iters left: 5 (35 enodes) 1550698392.363 * * [misc]simplify: iters left: 4 (38 enodes) 1550698392.374 * * [misc]simplify: iters left: 3 (45 enodes) 1550698392.387 * * [misc]simplify: iters left: 2 (46 enodes) 1550698392.400 * * [misc]simplify: iters left: 1 (48 enodes) 1550698392.412 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.412 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698392.412 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698392.412 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1550698392.413 * * [misc]simplify: Extracting #4: cost 9 inf + 553 1550698392.413 * * [misc]simplify: Extracting #5: cost 1 inf + 2991 1550698392.414 * * [misc]simplify: Extracting #6: cost 0 inf + 3285 1550698392.414 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (pow PI (* k -1/2))) 1550698392.414 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow n (* k -1/2)) (pow PI (* k -1/2))) (/ (pow PI 1/2) (/ (sqrt k) (pow n 1/2)))))) 1550698392.415 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow n 1/2))) 1550698392.415 * * [misc]simplify: iters left: 5 (9 enodes) 1550698392.419 * * [misc]simplify: iters left: 4 (31 enodes) 1550698392.428 * * [misc]simplify: iters left: 3 (36 enodes) 1550698392.438 * * [misc]simplify: iters left: 2 (40 enodes) 1550698392.449 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.450 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698392.450 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698392.450 * * [misc]simplify: Extracting #3: cost 14 inf + 4 1550698392.450 * * [misc]simplify: Extracting #4: cost 6 inf + 575 1550698392.450 * * [misc]simplify: Extracting #5: cost 0 inf + 1388 1550698392.451 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt n)) 1550698392.451 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow n (* k -1/2)) (pow PI (* k -1/2))) (* (/ (sqrt PI) (sqrt k)) (sqrt n))))) 1550698392.451 * * * * [misc]progress: [ 161 / 250 ] simplifiying candidate # 1550698392.461 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698392.461 * * [misc]simplify: iters left: 6 (14 enodes) 1550698392.469 * * [misc]simplify: iters left: 5 (50 enodes) 1550698392.489 * * [misc]simplify: iters left: 4 (61 enodes) 1550698392.509 * * [misc]simplify: iters left: 3 (76 enodes) 1550698392.532 * * [misc]simplify: iters left: 2 (85 enodes) 1550698392.557 * * [misc]simplify: iters left: 1 (108 enodes) 1550698392.594 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.595 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698392.595 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550698392.595 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550698392.595 * * [misc]simplify: Extracting #4: cost 25 inf + 5 1550698392.596 * * [misc]simplify: Extracting #5: cost 18 inf + 964 1550698392.597 * * [misc]simplify: Extracting #6: cost 5 inf + 6054 1550698392.599 * * [misc]simplify: Extracting #7: cost 0 inf + 8956 1550698392.601 * [exit]simplify: Simplified to (* (cbrt (pow n (fma -1/2 k 1/2))) (* (pow PI (* k -1/2)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698392.602 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow n (fma -1/2 k 1/2))) (* (pow PI (* k -1/2)) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (pow PI 1/2) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698392.602 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698392.602 * * [misc]simplify: iters left: 6 (12 enodes) 1550698392.608 * * [misc]simplify: iters left: 5 (41 enodes) 1550698392.622 * * [misc]simplify: iters left: 4 (50 enodes) 1550698392.640 * * [misc]simplify: iters left: 3 (55 enodes) 1550698392.656 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.656 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698392.656 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698392.656 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1550698392.656 * * [misc]simplify: Extracting #4: cost 15 inf + 290 1550698392.657 * * [misc]simplify: Extracting #5: cost 9 inf + 1189 1550698392.657 * * [misc]simplify: Extracting #6: cost 2 inf + 3647 1550698392.658 * * [misc]simplify: Extracting #7: cost 0 inf + 4587 1550698392.659 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow n (fma k -1/2 1/2)))) (sqrt k)) 1550698392.659 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow n (fma -1/2 k 1/2))) (* (pow PI (* k -1/2)) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (* (sqrt PI) (cbrt (pow n (fma k -1/2 1/2)))) (sqrt k))))) 1550698392.660 * * * * [misc]progress: [ 162 / 250 ] simplifiying candidate # 1550698392.660 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ 1 (sqrt (pow n (fma -1/2 k 1/2))))) 1550698392.660 * * [misc]simplify: iters left: 6 (13 enodes) 1550698392.667 * * [misc]simplify: iters left: 5 (45 enodes) 1550698392.682 * * [misc]simplify: iters left: 4 (50 enodes) 1550698392.698 * * [misc]simplify: iters left: 3 (57 enodes) 1550698392.714 * * [misc]simplify: iters left: 2 (58 enodes) 1550698392.730 * * [misc]simplify: iters left: 1 (60 enodes) 1550698392.744 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.744 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698392.745 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698392.745 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1550698392.745 * * [misc]simplify: Extracting #4: cost 16 inf + 47 1550698392.745 * * [misc]simplify: Extracting #5: cost 11 inf + 890 1550698392.745 * * [misc]simplify: Extracting #6: cost 7 inf + 1569 1550698392.746 * * [misc]simplify: Extracting #7: cost 1 inf + 4006 1550698392.747 * * [misc]simplify: Extracting #8: cost 0 inf + 4356 1550698392.748 * [exit]simplify: Simplified to (* (pow PI (* k -1/2)) (sqrt (pow n (fma -1/2 k 1/2)))) 1550698392.748 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (* k -1/2)) (sqrt (pow n (fma -1/2 k 1/2)))) (/ (pow PI 1/2) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698392.748 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698392.748 * * [misc]simplify: iters left: 6 (12 enodes) 1550698392.753 * * [misc]simplify: iters left: 5 (41 enodes) 1550698392.766 * * [misc]simplify: iters left: 4 (50 enodes) 1550698392.781 * * [misc]simplify: iters left: 3 (55 enodes) 1550698392.799 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.799 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698392.799 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698392.799 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1550698392.799 * * [misc]simplify: Extracting #4: cost 15 inf + 290 1550698392.800 * * [misc]simplify: Extracting #5: cost 9 inf + 1149 1550698392.801 * * [misc]simplify: Extracting #6: cost 2 inf + 3407 1550698392.802 * * [misc]simplify: Extracting #7: cost 0 inf + 4267 1550698392.803 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (fma k -1/2 1/2)))) (sqrt k)) 1550698392.803 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (* k -1/2)) (sqrt (pow n (fma -1/2 k 1/2)))) (/ (* (sqrt PI) (sqrt (pow n (fma k -1/2 1/2)))) (sqrt k))))) 1550698392.803 * * * * [misc]progress: [ 163 / 250 ] simplifiying candidate # 1550698392.803 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (/ 1 1)) 1550698392.803 * * [misc]simplify: iters left: 5 (8 enodes) 1550698392.808 * * [misc]simplify: iters left: 4 (25 enodes) 1550698392.817 * * [misc]simplify: iters left: 3 (27 enodes) 1550698392.825 * * [misc]simplify: iters left: 2 (29 enodes) 1550698392.833 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.833 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698392.833 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1550698392.833 * * [misc]simplify: Extracting #3: cost 1 inf + 341 1550698392.833 * * [misc]simplify: Extracting #4: cost 0 inf + 594 1550698392.834 * [exit]simplify: Simplified to (pow PI (* k -1/2)) 1550698392.834 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (* k -1/2)) (/ (pow PI 1/2) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698392.834 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698392.834 * * [misc]simplify: iters left: 6 (11 enodes) 1550698392.840 * * [misc]simplify: iters left: 5 (38 enodes) 1550698392.852 * * [misc]simplify: iters left: 4 (47 enodes) 1550698392.866 * * [misc]simplify: iters left: 3 (52 enodes) 1550698392.881 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.881 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698392.881 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698392.881 * * [misc]simplify: Extracting #3: cost 18 inf + 4 1550698392.881 * * [misc]simplify: Extracting #4: cost 9 inf + 571 1550698392.882 * * [misc]simplify: Extracting #5: cost 4 inf + 1930 1550698392.883 * * [misc]simplify: Extracting #6: cost 0 inf + 3409 1550698392.884 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698392.884 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (* k -1/2)) (* (/ (sqrt PI) (sqrt k)) (pow n (fma k -1/2 1/2)))))) 1550698392.884 * * * * [misc]progress: [ 164 / 250 ] simplifiying candidate # 1550698392.884 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) 1) 1550698392.884 * * [misc]simplify: iters left: 5 (7 enodes) 1550698392.889 * * [misc]simplify: iters left: 4 (22 enodes) 1550698392.896 * * [misc]simplify: iters left: 3 (24 enodes) 1550698392.904 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.904 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698392.904 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1550698392.904 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1550698392.904 * * [misc]simplify: Extracting #4: cost 1 inf + 341 1550698392.904 * * [misc]simplify: Extracting #5: cost 0 inf + 594 1550698392.904 * [exit]simplify: Simplified to (pow PI (* k -1/2)) 1550698392.904 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (* k -1/2)) (/ (pow PI 1/2) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698392.905 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698392.905 * * [misc]simplify: iters left: 6 (11 enodes) 1550698392.911 * * [misc]simplify: iters left: 5 (38 enodes) 1550698392.923 * * [misc]simplify: iters left: 4 (47 enodes) 1550698392.938 * * [misc]simplify: iters left: 3 (52 enodes) 1550698392.953 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.953 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698392.953 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698392.953 * * [misc]simplify: Extracting #3: cost 18 inf + 4 1550698392.954 * * [misc]simplify: Extracting #4: cost 9 inf + 571 1550698392.954 * * [misc]simplify: Extracting #5: cost 4 inf + 1930 1550698392.955 * * [misc]simplify: Extracting #6: cost 0 inf + 3409 1550698392.956 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698392.956 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (* k -1/2)) (* (/ (sqrt PI) (sqrt k)) (pow n (fma k -1/2 1/2)))))) 1550698392.956 * * * * [misc]progress: [ 165 / 250 ] simplifiying candidate # 1550698392.956 * [enter]simplify: Simplifying (/ (pow PI (* -1/2 k)) (sqrt k)) 1550698392.956 * * [misc]simplify: iters left: 5 (7 enodes) 1550698392.961 * * [misc]simplify: iters left: 4 (22 enodes) 1550698392.970 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698392.970 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698392.970 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698392.970 * * [misc]simplify: Extracting #3: cost 7 inf + 84 1550698392.970 * * [misc]simplify: Extracting #4: cost 6 inf + 85 1550698392.970 * * [misc]simplify: Extracting #5: cost 1 inf + 1008 1550698392.970 * * [misc]simplify: Extracting #6: cost 0 inf + 1341 1550698392.971 * [exit]simplify: Simplified to (/ (pow PI (* k -1/2)) (sqrt k)) 1550698392.971 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* k -1/2)) (sqrt k)) (/ (pow PI 1/2) (/ 1 (pow n (fma -1/2 k 1/2))))))) 1550698392.971 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (fma -1/2 k 1/2)))) 1550698392.971 * * [misc]simplify: iters left: 6 (11 enodes) 1550698392.977 * * [misc]simplify: iters left: 5 (40 enodes) 1550698392.990 * * [misc]simplify: iters left: 4 (47 enodes) 1550698393.005 * * [misc]simplify: iters left: 3 (55 enodes) 1550698393.021 * * [misc]simplify: iters left: 2 (56 enodes) 1550698393.036 * * [misc]simplify: iters left: 1 (58 enodes) 1550698393.051 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698393.051 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698393.051 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1550698393.051 * * [misc]simplify: Extracting #3: cost 15 inf + 4 1550698393.051 * * [misc]simplify: Extracting #4: cost 8 inf + 328 1550698393.052 * * [misc]simplify: Extracting #5: cost 3 inf + 1381 1550698393.053 * * [misc]simplify: Extracting #6: cost 0 inf + 2310 1550698393.053 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (fma k -1/2 1/2))) 1550698393.053 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (* -1/2 k)) (sqrt k)) (* (sqrt PI) (pow n (fma k -1/2 1/2)))))) 1550698393.054 * * * * [misc]progress: [ 166 / 250 ] simplifiying candidate # 1550698393.054 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698393.054 * * [misc]simplify: iters left: 6 (15 enodes) 1550698393.062 * * [misc]simplify: iters left: 5 (53 enodes) 1550698393.077 * * [misc]simplify: iters left: 4 (72 enodes) 1550698393.099 * * [misc]simplify: iters left: 3 (80 enodes) 1550698393.122 * * [misc]simplify: iters left: 2 (83 enodes) 1550698393.147 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698393.148 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698393.148 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1550698393.148 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1550698393.148 * * [misc]simplify: Extracting #4: cost 35 inf + 1 1550698393.148 * * [misc]simplify: Extracting #5: cost 31 inf + 46 1550698393.149 * * [misc]simplify: Extracting #6: cost 26 inf + 514 1550698393.149 * * [misc]simplify: Extracting #7: cost 14 inf + 4435 1550698393.151 * * [misc]simplify: Extracting #8: cost 2 inf + 13253 1550698393.154 * * [misc]simplify: Extracting #9: cost 0 inf + 14773 1550698393.158 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))) 1550698393.158 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))))) 1550698393.159 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698393.159 * * [misc]simplify: iters left: 6 (13 enodes) 1550698393.166 * * [misc]simplify: iters left: 5 (41 enodes) 1550698393.181 * * [misc]simplify: iters left: 4 (45 enodes) 1550698393.195 * * [misc]simplify: iters left: 3 (46 enodes) 1550698393.209 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698393.209 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698393.209 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698393.209 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698393.209 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698393.209 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1550698393.210 * * [misc]simplify: Extracting #6: cost 11 inf + 767 1550698393.210 * * [misc]simplify: Extracting #7: cost 5 inf + 2490 1550698393.211 * * [misc]simplify: Extracting #8: cost 1 inf + 4377 1550698393.212 * * [misc]simplify: Extracting #9: cost 0 inf + 5137 1550698393.213 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698393.213 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))))) 1550698393.213 * * * * [misc]progress: [ 167 / 250 ] simplifiying candidate # 1550698393.213 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698393.214 * * [misc]simplify: iters left: 6 (14 enodes) 1550698393.222 * * [misc]simplify: iters left: 5 (46 enodes) 1550698393.236 * * [misc]simplify: iters left: 4 (54 enodes) 1550698393.252 * * [misc]simplify: iters left: 3 (58 enodes) 1550698393.269 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698393.269 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698393.269 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550698393.269 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1550698393.270 * * [misc]simplify: Extracting #4: cost 27 inf + 1 1550698393.270 * * [misc]simplify: Extracting #5: cost 22 inf + 87 1550698393.270 * * [misc]simplify: Extracting #6: cost 17 inf + 556 1550698393.271 * * [misc]simplify: Extracting #7: cost 4 inf + 6497 1550698393.273 * * [misc]simplify: Extracting #8: cost 0 inf + 8715 1550698393.274 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))) (cbrt (pow PI (fma k -1/2 1/2))))) 1550698393.274 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))))) 1550698393.275 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698393.275 * * [misc]simplify: iters left: 6 (13 enodes) 1550698393.281 * * [misc]simplify: iters left: 5 (41 enodes) 1550698393.296 * * [misc]simplify: iters left: 4 (45 enodes) 1550698393.309 * * [misc]simplify: iters left: 3 (46 enodes) 1550698393.323 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698393.323 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698393.323 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698393.323 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698393.323 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698393.323 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1550698393.323 * * [misc]simplify: Extracting #6: cost 11 inf + 767 1550698393.324 * * [misc]simplify: Extracting #7: cost 5 inf + 2450 1550698393.325 * * [misc]simplify: Extracting #8: cost 1 inf + 4257 1550698393.326 * * [misc]simplify: Extracting #9: cost 0 inf + 4977 1550698393.327 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698393.327 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))))) 1550698393.327 * * * * [misc]progress: [ 168 / 250 ] simplifiying candidate # 1550698393.327 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) 1550698393.328 * * [misc]simplify: iters left: 6 (16 enodes) 1550698393.336 * * [misc]simplify: iters left: 5 (56 enodes) 1550698393.354 * * [misc]simplify: iters left: 4 (82 enodes) 1550698393.381 * * [misc]simplify: iters left: 3 (141 enodes) 1550698393.428 * * [misc]simplify: iters left: 2 (196 enodes) 1550698393.501 * * [misc]simplify: iters left: 1 (225 enodes) 1550698393.669 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698393.669 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1550698393.670 * * [misc]simplify: Extracting #2: cost 54 inf + 0 1550698393.670 * * [misc]simplify: Extracting #3: cost 60 inf + 1 1550698393.670 * * [misc]simplify: Extracting #4: cost 57 inf + 166 1550698393.672 * * [misc]simplify: Extracting #5: cost 33 inf + 8917 1550698393.696 * * [misc]simplify: Extracting #6: cost 2 inf + 27057 1550698393.713 * * [misc]simplify: Extracting #7: cost 0 inf + 28019 1550698393.720 * [exit]simplify: Simplified to (/ (pow n (* k -1/2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2)))))) 1550698393.722 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow n (* k -1/2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2)))))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n 1/2)))))) 1550698393.723 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n 1/2))) 1550698393.723 * * [misc]simplify: iters left: 6 (13 enodes) 1550698393.730 * * [misc]simplify: iters left: 5 (44 enodes) 1550698393.744 * * [misc]simplify: iters left: 4 (53 enodes) 1550698393.759 * * [misc]simplify: iters left: 3 (58 enodes) 1550698393.775 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698393.775 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698393.775 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698393.775 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1550698393.775 * * [misc]simplify: Extracting #4: cost 19 inf + 127 1550698393.776 * * [misc]simplify: Extracting #5: cost 15 inf + 453 1550698393.776 * * [misc]simplify: Extracting #6: cost 10 inf + 1082 1550698393.777 * * [misc]simplify: Extracting #7: cost 1 inf + 4800 1550698393.778 * * [misc]simplify: Extracting #8: cost 0 inf + 5309 1550698393.779 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (sqrt n))) 1550698393.779 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (sqrt n)))))) 1550698393.779 * * * * [misc]progress: [ 169 / 250 ] simplifiying candidate # 1550698393.780 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698393.780 * * [misc]simplify: iters left: 6 (17 enodes) 1550698393.788 * * [misc]simplify: iters left: 5 (63 enodes) 1550698393.810 * * [misc]simplify: iters left: 4 (113 enodes) 1550698393.939 * * [misc]simplify: iters left: 3 (221 enodes) 1550698394.065 * * [misc]simplify: iters left: 2 (379 enodes) 1550698394.615 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698394.615 * * [misc]simplify: Extracting #1: cost 52 inf + 0 1550698394.615 * * [misc]simplify: Extracting #2: cost 93 inf + 0 1550698394.616 * * [misc]simplify: Extracting #3: cost 100 inf + 0 1550698394.617 * * [misc]simplify: Extracting #4: cost 99 inf + 165 1550698394.618 * * [misc]simplify: Extracting #5: cost 89 inf + 1758 1550698394.620 * * [misc]simplify: Extracting #6: cost 68 inf + 11089 1550698394.628 * * [misc]simplify: Extracting #7: cost 32 inf + 37284 1550698394.645 * * [misc]simplify: Extracting #8: cost 2 inf + 60749 1550698394.663 * * [misc]simplify: Extracting #9: cost 0 inf + 62189 1550698394.678 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2)))))) 1550698394.678 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2)))))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698394.681 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698394.681 * * [misc]simplify: iters left: 6 (14 enodes) 1550698394.688 * * [misc]simplify: iters left: 5 (46 enodes) 1550698394.702 * * [misc]simplify: iters left: 4 (55 enodes) 1550698394.718 * * [misc]simplify: iters left: 3 (60 enodes) 1550698394.735 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698394.735 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698394.735 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698394.735 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698394.735 * * [misc]simplify: Extracting #4: cost 22 inf + 286 1550698394.735 * * [misc]simplify: Extracting #5: cost 20 inf + 329 1550698394.736 * * [misc]simplify: Extracting #6: cost 15 inf + 798 1550698394.737 * * [misc]simplify: Extracting #7: cost 2 inf + 6888 1550698394.738 * * [misc]simplify: Extracting #8: cost 0 inf + 8077 1550698394.739 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698394.744 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))))))) 1550698394.748 * * * * [misc]progress: [ 170 / 250 ] simplifiying candidate # 1550698394.753 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698394.753 * * [misc]simplify: iters left: 6 (16 enodes) 1550698394.773 * * [misc]simplify: iters left: 5 (56 enodes) 1550698394.789 * * [misc]simplify: iters left: 4 (84 enodes) 1550698394.811 * * [misc]simplify: iters left: 3 (144 enodes) 1550698394.893 * * [misc]simplify: iters left: 2 (197 enodes) 1550698394.960 * * [misc]simplify: iters left: 1 (228 enodes) 1550698395.109 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698395.111 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1550698395.111 * * [misc]simplify: Extracting #2: cost 53 inf + 0 1550698395.112 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1550698395.112 * * [misc]simplify: Extracting #4: cost 59 inf + 165 1550698395.113 * * [misc]simplify: Extracting #5: cost 54 inf + 651 1550698395.115 * * [misc]simplify: Extracting #6: cost 28 inf + 13115 1550698395.123 * * [misc]simplify: Extracting #7: cost 2 inf + 28099 1550698395.131 * * [misc]simplify: Extracting #8: cost 0 inf + 29117 1550698395.139 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2))))) 1550698395.140 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (/ (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698395.142 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698395.142 * * [misc]simplify: iters left: 6 (14 enodes) 1550698395.150 * * [misc]simplify: iters left: 5 (46 enodes) 1550698395.163 * * [misc]simplify: iters left: 4 (55 enodes) 1550698395.178 * * [misc]simplify: iters left: 3 (60 enodes) 1550698395.193 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698395.193 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698395.194 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698395.194 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698395.194 * * [misc]simplify: Extracting #4: cost 22 inf + 286 1550698395.194 * * [misc]simplify: Extracting #5: cost 20 inf + 329 1550698395.194 * * [misc]simplify: Extracting #6: cost 15 inf + 798 1550698395.195 * * [misc]simplify: Extracting #7: cost 2 inf + 6648 1550698395.197 * * [misc]simplify: Extracting #8: cost 0 inf + 7757 1550698395.198 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698395.198 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))))))) 1550698395.198 * * * * [misc]progress: [ 171 / 250 ] simplifiying candidate # 1550698395.205 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1550698395.205 * * [misc]simplify: iters left: 6 (14 enodes) 1550698395.232 * * [misc]simplify: iters left: 5 (50 enodes) 1550698395.273 * * [misc]simplify: iters left: 4 (80 enodes) 1550698395.428 * * [misc]simplify: iters left: 3 (116 enodes) 1550698395.465 * * [misc]simplify: iters left: 2 (150 enodes) 1550698395.520 * * [misc]simplify: iters left: 1 (182 enodes) 1550698395.716 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698395.716 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698395.717 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1550698395.717 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1550698395.717 * * [misc]simplify: Extracting #4: cost 34 inf + 326 1550698395.718 * * [misc]simplify: Extracting #5: cost 25 inf + 1504 1550698395.720 * * [misc]simplify: Extracting #6: cost 11 inf + 6965 1550698395.728 * * [misc]simplify: Extracting #7: cost 0 inf + 12257 1550698395.740 * * [misc]simplify: Extracting #8: cost 0 inf + 12217 1550698395.749 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698395.749 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))))))) 1550698395.761 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698395.761 * * [misc]simplify: iters left: 6 (13 enodes) 1550698395.768 * * [misc]simplify: iters left: 5 (43 enodes) 1550698395.792 * * [misc]simplify: iters left: 4 (52 enodes) 1550698395.808 * * [misc]simplify: iters left: 3 (57 enodes) 1550698395.825 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698395.825 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698395.825 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698395.825 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698395.825 * * [misc]simplify: Extracting #4: cost 18 inf + 250 1550698395.826 * * [misc]simplify: Extracting #5: cost 14 inf + 740 1550698395.826 * * [misc]simplify: Extracting #6: cost 3 inf + 5030 1550698395.828 * * [misc]simplify: Extracting #7: cost 0 inf + 6899 1550698395.829 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698395.829 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (pow n (fma k -1/2 1/2)) (/ (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))))))) 1550698395.829 * * * * [misc]progress: [ 172 / 250 ] simplifiying candidate # 1550698395.841 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) 1550698395.841 * * [misc]simplify: iters left: 6 (15 enodes) 1550698395.865 * * [misc]simplify: iters left: 5 (51 enodes) 1550698395.889 * * [misc]simplify: iters left: 4 (66 enodes) 1550698395.912 * * [misc]simplify: iters left: 3 (85 enodes) 1550698395.936 * * [misc]simplify: iters left: 2 (98 enodes) 1550698395.954 * * [misc]simplify: iters left: 1 (103 enodes) 1550698395.985 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698395.985 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550698395.985 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1550698395.986 * * [misc]simplify: Extracting #3: cost 41 inf + 1 1550698395.986 * * [misc]simplify: Extracting #4: cost 39 inf + 45 1550698395.986 * * [misc]simplify: Extracting #5: cost 30 inf + 1244 1550698395.988 * * [misc]simplify: Extracting #6: cost 13 inf + 8957 1550698395.990 * * [misc]simplify: Extracting #7: cost 1 inf + 15904 1550698395.992 * * [misc]simplify: Extracting #8: cost 0 inf + 16413 1550698395.994 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) (cbrt (pow PI (fma k -1/2 1/2)))) 1550698395.994 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (pow n (* k -1/2)))) (cbrt (pow PI (fma k -1/2 1/2)))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n 1/2)))))) 1550698395.994 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550698395.994 * * [misc]simplify: iters left: 6 (13 enodes) 1550698396.000 * * [misc]simplify: iters left: 5 (44 enodes) 1550698396.014 * * [misc]simplify: iters left: 4 (53 enodes) 1550698396.030 * * [misc]simplify: iters left: 3 (58 enodes) 1550698396.050 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698396.050 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698396.050 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698396.050 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1550698396.050 * * [misc]simplify: Extracting #4: cost 19 inf + 127 1550698396.050 * * [misc]simplify: Extracting #5: cost 15 inf + 373 1550698396.051 * * [misc]simplify: Extracting #6: cost 10 inf + 962 1550698396.052 * * [misc]simplify: Extracting #7: cost 1 inf + 4520 1550698396.053 * * [misc]simplify: Extracting #8: cost 0 inf + 4989 1550698396.054 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (sqrt n))) 1550698396.054 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (sqrt n)))))) 1550698396.054 * * * * [misc]progress: [ 173 / 250 ] simplifiying candidate # 1550698396.055 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698396.055 * * [misc]simplify: iters left: 6 (16 enodes) 1550698396.063 * * [misc]simplify: iters left: 5 (56 enodes) 1550698396.081 * * [misc]simplify: iters left: 4 (81 enodes) 1550698396.109 * * [misc]simplify: iters left: 3 (120 enodes) 1550698396.145 * * [misc]simplify: iters left: 2 (167 enodes) 1550698396.295 * * [misc]simplify: iters left: 1 (199 enodes) 1550698396.358 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698396.358 * * [misc]simplify: Extracting #1: cost 25 inf + 0 1550698396.358 * * [misc]simplify: Extracting #2: cost 51 inf + 0 1550698396.359 * * [misc]simplify: Extracting #3: cost 58 inf + 0 1550698396.359 * * [misc]simplify: Extracting #4: cost 57 inf + 125 1550698396.359 * * [misc]simplify: Extracting #5: cost 54 inf + 249 1550698396.360 * * [misc]simplify: Extracting #6: cost 45 inf + 3112 1550698396.364 * * [misc]simplify: Extracting #7: cost 17 inf + 18458 1550698396.371 * * [misc]simplify: Extracting #8: cost 2 inf + 28683 1550698396.379 * * [misc]simplify: Extracting #9: cost 0 inf + 29952 1550698396.387 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2))))) (sqrt (sqrt k))) 1550698396.388 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2))))) (sqrt (sqrt k))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698396.395 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698396.395 * * [misc]simplify: iters left: 6 (14 enodes) 1550698396.402 * * [misc]simplify: iters left: 5 (46 enodes) 1550698396.416 * * [misc]simplify: iters left: 4 (55 enodes) 1550698396.462 * * [misc]simplify: iters left: 3 (60 enodes) 1550698396.481 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698396.482 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698396.482 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698396.482 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698396.482 * * [misc]simplify: Extracting #4: cost 22 inf + 206 1550698396.482 * * [misc]simplify: Extracting #5: cost 20 inf + 249 1550698396.483 * * [misc]simplify: Extracting #6: cost 15 inf + 718 1550698396.484 * * [misc]simplify: Extracting #7: cost 2 inf + 6608 1550698396.485 * * [misc]simplify: Extracting #8: cost 0 inf + 7757 1550698396.486 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698396.487 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))))))) 1550698396.488 * * * * [misc]progress: [ 174 / 250 ] simplifiying candidate # 1550698396.494 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698396.494 * * [misc]simplify: iters left: 6 (15 enodes) 1550698396.505 * * [misc]simplify: iters left: 5 (51 enodes) 1550698396.527 * * [misc]simplify: iters left: 4 (68 enodes) 1550698396.578 * * [misc]simplify: iters left: 3 (88 enodes) 1550698396.638 * * [misc]simplify: iters left: 2 (101 enodes) 1550698396.699 * * [misc]simplify: iters left: 1 (106 enodes) 1550698396.758 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698396.758 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550698396.758 * * [misc]simplify: Extracting #2: cost 34 inf + 0 1550698396.758 * * [misc]simplify: Extracting #3: cost 41 inf + 0 1550698396.759 * * [misc]simplify: Extracting #4: cost 39 inf + 206 1550698396.760 * * [misc]simplify: Extracting #5: cost 37 inf + 249 1550698396.761 * * [misc]simplify: Extracting #6: cost 34 inf + 618 1550698396.768 * * [misc]simplify: Extracting #7: cost 22 inf + 4288 1550698396.771 * * [misc]simplify: Extracting #8: cost 2 inf + 16098 1550698396.775 * * [misc]simplify: Extracting #9: cost 0 inf + 17287 1550698396.779 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (sqrt (sqrt k)))) 1550698396.779 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (sqrt (pow n (fma k -1/2 1/2))) (/ (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698396.779 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698396.780 * * [misc]simplify: iters left: 6 (14 enodes) 1550698396.796 * * [misc]simplify: iters left: 5 (46 enodes) 1550698396.820 * * [misc]simplify: iters left: 4 (55 enodes) 1550698396.836 * * [misc]simplify: iters left: 3 (60 enodes) 1550698396.853 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698396.853 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698396.853 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698396.853 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698396.853 * * [misc]simplify: Extracting #4: cost 22 inf + 206 1550698396.854 * * [misc]simplify: Extracting #5: cost 20 inf + 249 1550698396.854 * * [misc]simplify: Extracting #6: cost 15 inf + 718 1550698396.855 * * [misc]simplify: Extracting #7: cost 2 inf + 6368 1550698396.856 * * [misc]simplify: Extracting #8: cost 0 inf + 7437 1550698396.858 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698396.858 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))))))) 1550698396.858 * * * * [misc]progress: [ 175 / 250 ] simplifiying candidate # 1550698396.859 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) 1)) 1550698396.859 * * [misc]simplify: iters left: 6 (13 enodes) 1550698396.866 * * [misc]simplify: iters left: 5 (45 enodes) 1550698396.880 * * [misc]simplify: iters left: 4 (57 enodes) 1550698396.898 * * [misc]simplify: iters left: 3 (69 enodes) 1550698396.917 * * [misc]simplify: iters left: 2 (76 enodes) 1550698396.938 * * [misc]simplify: iters left: 1 (81 enodes) 1550698396.960 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698396.960 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1550698396.960 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1550698396.960 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1550698396.960 * * [misc]simplify: Extracting #4: cost 20 inf + 166 1550698396.961 * * [misc]simplify: Extracting #5: cost 17 inf + 291 1550698396.961 * * [misc]simplify: Extracting #6: cost 14 inf + 660 1550698396.962 * * [misc]simplify: Extracting #7: cost 3 inf + 4888 1550698396.963 * * [misc]simplify: Extracting #8: cost 0 inf + 6375 1550698396.965 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (sqrt (sqrt k))) 1550698396.965 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))))))) 1550698396.965 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698396.966 * * [misc]simplify: iters left: 6 (13 enodes) 1550698396.970 * * [misc]simplify: iters left: 5 (43 enodes) 1550698396.981 * * [misc]simplify: iters left: 4 (52 enodes) 1550698396.996 * * [misc]simplify: iters left: 3 (57 enodes) 1550698397.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698397.007 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698397.007 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698397.007 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698397.007 * * [misc]simplify: Extracting #4: cost 18 inf + 210 1550698397.008 * * [misc]simplify: Extracting #5: cost 14 inf + 660 1550698397.008 * * [misc]simplify: Extracting #6: cost 3 inf + 4790 1550698397.009 * * [misc]simplify: Extracting #7: cost 0 inf + 6579 1550698397.011 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698397.011 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) 1)) (* (pow n (fma k -1/2 1/2)) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))))))) 1550698397.011 * * * * [misc]progress: [ 176 / 250 ] simplifiying candidate # 1550698397.011 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 (pow n (* -1/2 k)))) 1550698397.011 * * [misc]simplify: iters left: 6 (14 enodes) 1550698397.018 * * [misc]simplify: iters left: 5 (50 enodes) 1550698397.034 * * [misc]simplify: iters left: 4 (63 enodes) 1550698397.054 * * [misc]simplify: iters left: 3 (90 enodes) 1550698397.081 * * [misc]simplify: iters left: 2 (103 enodes) 1550698397.112 * * [misc]simplify: iters left: 1 (134 enodes) 1550698397.156 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698397.156 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698397.156 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550698397.156 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1550698397.157 * * [misc]simplify: Extracting #4: cost 25 inf + 5 1550698397.157 * * [misc]simplify: Extracting #5: cost 20 inf + 417 1550698397.158 * * [misc]simplify: Extracting #6: cost 7 inf + 5161 1550698397.160 * * [misc]simplify: Extracting #7: cost 1 inf + 8316 1550698397.163 * * [misc]simplify: Extracting #8: cost 0 inf + 8956 1550698397.165 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2))))) 1550698397.165 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow n (* k -1/2)) (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n 1/2)))))) 1550698397.166 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n 1/2))) 1550698397.166 * * [misc]simplify: iters left: 5 (12 enodes) 1550698397.172 * * [misc]simplify: iters left: 4 (41 enodes) 1550698397.184 * * [misc]simplify: iters left: 3 (50 enodes) 1550698397.197 * * [misc]simplify: iters left: 2 (55 enodes) 1550698397.212 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698397.212 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698397.212 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698397.212 * * [misc]simplify: Extracting #3: cost 16 inf + 85 1550698397.212 * * [misc]simplify: Extracting #4: cost 14 inf + 412 1550698397.213 * * [misc]simplify: Extracting #5: cost 14 inf + 413 1550698397.213 * * [misc]simplify: Extracting #6: cost 11 inf + 782 1550698397.214 * * [misc]simplify: Extracting #7: cost 2 inf + 3647 1550698397.214 * * [misc]simplify: Extracting #8: cost 0 inf + 4587 1550698397.215 * [exit]simplify: Simplified to (/ (* (sqrt n) (cbrt (pow PI (fma k -1/2 1/2)))) (sqrt k)) 1550698397.215 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 (pow n (* -1/2 k)))) (/ (* (sqrt n) (cbrt (pow PI (fma k -1/2 1/2)))) (sqrt k))))) 1550698397.216 * * * * [misc]progress: [ 177 / 250 ] simplifiying candidate # 1550698397.216 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698397.216 * * [misc]simplify: iters left: 6 (15 enodes) 1550698397.224 * * [misc]simplify: iters left: 5 (55 enodes) 1550698397.243 * * [misc]simplify: iters left: 4 (78 enodes) 1550698397.269 * * [misc]simplify: iters left: 3 (127 enodes) 1550698397.311 * * [misc]simplify: iters left: 2 (170 enodes) 1550698397.383 * * [misc]simplify: iters left: 1 (260 enodes) 1550698397.537 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698397.537 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550698397.537 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1550698397.537 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1550698397.538 * * [misc]simplify: Extracting #4: cost 40 inf + 3 1550698397.538 * * [misc]simplify: Extracting #5: cost 38 inf + 6 1550698397.539 * * [misc]simplify: Extracting #6: cost 34 inf + 644 1550698397.540 * * [misc]simplify: Extracting #7: cost 15 inf + 8325 1550698397.544 * * [misc]simplify: Extracting #8: cost 3 inf + 15728 1550698397.549 * * [misc]simplify: Extracting #9: cost 0 inf + 17680 1550698397.555 * [exit]simplify: Simplified to (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2))))) 1550698397.555 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698397.556 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698397.556 * * [misc]simplify: iters left: 6 (13 enodes) 1550698397.572 * * [misc]simplify: iters left: 5 (43 enodes) 1550698397.585 * * [misc]simplify: iters left: 4 (52 enodes) 1550698397.600 * * [misc]simplify: iters left: 3 (57 enodes) 1550698397.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698397.662 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698397.662 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698397.662 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550698397.663 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1550698397.663 * * [misc]simplify: Extracting #5: cost 19 inf + 129 1550698397.663 * * [misc]simplify: Extracting #6: cost 15 inf + 767 1550698397.664 * * [misc]simplify: Extracting #7: cost 3 inf + 5486 1550698397.665 * * [misc]simplify: Extracting #8: cost 0 inf + 7355 1550698397.667 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698397.672 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)))))) 1550698397.677 * * * * [misc]progress: [ 178 / 250 ] simplifiying candidate # 1550698397.682 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 (sqrt (pow n (fma -1/2 k 1/2))))) 1550698397.682 * * [misc]simplify: iters left: 6 (14 enodes) 1550698397.709 * * [misc]simplify: iters left: 5 (50 enodes) 1550698397.730 * * [misc]simplify: iters left: 4 (65 enodes) 1550698397.754 * * [misc]simplify: iters left: 3 (93 enodes) 1550698397.784 * * [misc]simplify: iters left: 2 (106 enodes) 1550698397.816 * * [misc]simplify: iters left: 1 (137 enodes) 1550698397.963 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698397.963 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698397.963 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1550698397.963 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698397.963 * * [misc]simplify: Extracting #4: cost 28 inf + 3 1550698397.963 * * [misc]simplify: Extracting #5: cost 26 inf + 6 1550698397.964 * * [misc]simplify: Extracting #6: cost 22 inf + 433 1550698397.965 * * [misc]simplify: Extracting #7: cost 9 inf + 5088 1550698397.973 * * [misc]simplify: Extracting #8: cost 0 inf + 9718 1550698397.975 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2))))) 1550698397.976 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (sqrt (pow n (fma k -1/2 1/2))) (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698397.980 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698397.981 * * [misc]simplify: iters left: 6 (13 enodes) 1550698397.987 * * [misc]simplify: iters left: 5 (43 enodes) 1550698398.001 * * [misc]simplify: iters left: 4 (52 enodes) 1550698398.016 * * [misc]simplify: iters left: 3 (57 enodes) 1550698398.032 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.033 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698398.033 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698398.033 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550698398.033 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1550698398.033 * * [misc]simplify: Extracting #5: cost 19 inf + 129 1550698398.033 * * [misc]simplify: Extracting #6: cost 15 inf + 767 1550698398.034 * * [misc]simplify: Extracting #7: cost 3 inf + 5246 1550698398.035 * * [misc]simplify: Extracting #8: cost 0 inf + 7035 1550698398.037 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698398.037 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 (sqrt (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)))))) 1550698398.037 * * * * [misc]progress: [ 179 / 250 ] simplifiying candidate # 1550698398.041 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 1)) 1550698398.041 * * [misc]simplify: iters left: 6 (11 enodes) 1550698398.047 * * [misc]simplify: iters left: 5 (37 enodes) 1550698398.059 * * [misc]simplify: iters left: 4 (47 enodes) 1550698398.074 * * [misc]simplify: iters left: 3 (52 enodes) 1550698398.088 * * [misc]simplify: iters left: 2 (53 enodes) 1550698398.102 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.102 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698398.102 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550698398.102 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698398.102 * * [misc]simplify: Extracting #4: cost 14 inf + 2 1550698398.103 * * [misc]simplify: Extracting #5: cost 11 inf + 47 1550698398.103 * * [misc]simplify: Extracting #6: cost 7 inf + 474 1550698398.103 * * [misc]simplify: Extracting #7: cost 1 inf + 2609 1550698398.104 * * [misc]simplify: Extracting #8: cost 0 inf + 2999 1550698398.105 * [exit]simplify: Simplified to (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) 1550698398.105 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698398.105 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698398.105 * * [misc]simplify: iters left: 6 (12 enodes) 1550698398.111 * * [misc]simplify: iters left: 5 (40 enodes) 1550698398.126 * * [misc]simplify: iters left: 4 (49 enodes) 1550698398.141 * * [misc]simplify: iters left: 3 (54 enodes) 1550698398.158 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.158 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698398.158 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698398.158 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698398.158 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698398.159 * * [misc]simplify: Extracting #5: cost 12 inf + 1263 1550698398.160 * * [misc]simplify: Extracting #6: cost 1 inf + 5497 1550698398.161 * * [misc]simplify: Extracting #7: cost 0 inf + 6177 1550698398.162 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698398.162 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (/ 1 1)) (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2)))))) 1550698398.162 * * * * [misc]progress: [ 180 / 250 ] simplifiying candidate # 1550698398.163 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) 1) 1550698398.163 * * [misc]simplify: iters left: 6 (10 enodes) 1550698398.169 * * [misc]simplify: iters left: 5 (34 enodes) 1550698398.180 * * [misc]simplify: iters left: 4 (48 enodes) 1550698398.194 * * [misc]simplify: iters left: 3 (50 enodes) 1550698398.206 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.206 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698398.206 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1550698398.206 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698398.206 * * [misc]simplify: Extracting #4: cost 14 inf + 2 1550698398.206 * * [misc]simplify: Extracting #5: cost 11 inf + 47 1550698398.207 * * [misc]simplify: Extracting #6: cost 7 inf + 474 1550698398.207 * * [misc]simplify: Extracting #7: cost 1 inf + 2609 1550698398.208 * * [misc]simplify: Extracting #8: cost 0 inf + 2999 1550698398.208 * [exit]simplify: Simplified to (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) 1550698398.208 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698398.209 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698398.209 * * [misc]simplify: iters left: 6 (12 enodes) 1550698398.214 * * [misc]simplify: iters left: 5 (40 enodes) 1550698398.227 * * [misc]simplify: iters left: 4 (49 enodes) 1550698398.241 * * [misc]simplify: iters left: 3 (54 enodes) 1550698398.257 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.257 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698398.258 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698398.258 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698398.258 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698398.258 * * [misc]simplify: Extracting #5: cost 12 inf + 1263 1550698398.259 * * [misc]simplify: Extracting #6: cost 1 inf + 5497 1550698398.260 * * [misc]simplify: Extracting #7: cost 0 inf + 6177 1550698398.261 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698398.261 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) 1) (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2)))))) 1550698398.262 * * * * [misc]progress: [ 181 / 250 ] simplifiying candidate # 1550698398.262 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (sqrt k)) 1550698398.262 * * [misc]simplify: iters left: 6 (10 enodes) 1550698398.268 * * [misc]simplify: iters left: 5 (34 enodes) 1550698398.279 * * [misc]simplify: iters left: 4 (42 enodes) 1550698398.347 * * [misc]simplify: iters left: 3 (46 enodes) 1550698398.366 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.366 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698398.366 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1550698398.367 * * [misc]simplify: Extracting #3: cost 14 inf + 83 1550698398.367 * * [misc]simplify: Extracting #4: cost 17 inf + 84 1550698398.367 * * [misc]simplify: Extracting #5: cost 16 inf + 86 1550698398.367 * * [misc]simplify: Extracting #6: cost 11 inf + 782 1550698398.368 * * [misc]simplify: Extracting #7: cost 2 inf + 4096 1550698398.369 * * [misc]simplify: Extracting #8: cost 0 inf + 4954 1550698398.370 * [exit]simplify: Simplified to (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (cbrt (pow PI (fma k -1/2 1/2))))) 1550698398.372 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (cbrt (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (cbrt (pow PI (fma k -1/2 1/2))))) (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (fma -1/2 k 1/2))))))) 1550698398.373 * [enter]simplify: Simplifying (/ (cbrt (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (fma -1/2 k 1/2)))) 1550698398.373 * * [misc]simplify: iters left: 6 (12 enodes) 1550698398.379 * * [misc]simplify: iters left: 5 (42 enodes) 1550698398.393 * * [misc]simplify: iters left: 4 (49 enodes) 1550698398.409 * * [misc]simplify: iters left: 3 (57 enodes) 1550698398.419 * * [misc]simplify: iters left: 2 (58 enodes) 1550698398.429 * * [misc]simplify: iters left: 1 (60 enodes) 1550698398.445 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.445 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698398.445 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698398.445 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550698398.446 * * [misc]simplify: Extracting #4: cost 16 inf + 6 1550698398.446 * * [misc]simplify: Extracting #5: cost 10 inf + 744 1550698398.446 * * [misc]simplify: Extracting #6: cost 3 inf + 3280 1550698398.447 * * [misc]simplify: Extracting #7: cost 0 inf + 4580 1550698398.448 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (cbrt (pow PI (fma k -1/2 1/2)))) 1550698398.448 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) (sqrt k)) (* (pow n (fma k -1/2 1/2)) (cbrt (pow PI (fma k -1/2 1/2))))))) 1550698398.449 * * * * [misc]progress: [ 182 / 250 ] simplifiying candidate # 1550698398.449 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698398.449 * * [misc]simplify: iters left: 6 (14 enodes) 1550698398.456 * * [misc]simplify: iters left: 5 (46 enodes) 1550698398.471 * * [misc]simplify: iters left: 4 (52 enodes) 1550698398.486 * * [misc]simplify: iters left: 3 (53 enodes) 1550698398.504 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.504 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698398.504 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1550698398.504 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1550698398.504 * * [misc]simplify: Extracting #4: cost 25 inf + 1 1550698398.504 * * [misc]simplify: Extracting #5: cost 21 inf + 46 1550698398.504 * * [misc]simplify: Extracting #6: cost 14 inf + 825 1550698398.505 * * [misc]simplify: Extracting #7: cost 3 inf + 5526 1550698398.507 * * [misc]simplify: Extracting #8: cost 0 inf + 7435 1550698398.508 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698398.508 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))))) 1550698398.509 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698398.509 * * [misc]simplify: iters left: 6 (13 enodes) 1550698398.515 * * [misc]simplify: iters left: 5 (41 enodes) 1550698398.528 * * [misc]simplify: iters left: 4 (45 enodes) 1550698398.541 * * [misc]simplify: iters left: 3 (46 enodes) 1550698398.555 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.555 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698398.555 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698398.555 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698398.555 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698398.555 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1550698398.555 * * [misc]simplify: Extracting #6: cost 11 inf + 767 1550698398.556 * * [misc]simplify: Extracting #7: cost 5 inf + 2450 1550698398.557 * * [misc]simplify: Extracting #8: cost 1 inf + 4257 1550698398.558 * * [misc]simplify: Extracting #9: cost 0 inf + 4977 1550698398.559 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698398.559 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))))) 1550698398.559 * * * * [misc]progress: [ 183 / 250 ] simplifiying candidate # 1550698398.559 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698398.559 * * [misc]simplify: iters left: 6 (13 enodes) 1550698398.566 * * [misc]simplify: iters left: 5 (41 enodes) 1550698398.579 * * [misc]simplify: iters left: 4 (45 enodes) 1550698398.592 * * [misc]simplify: iters left: 3 (46 enodes) 1550698398.606 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.606 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698398.606 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698398.606 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698398.606 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698398.606 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1550698398.607 * * [misc]simplify: Extracting #6: cost 11 inf + 767 1550698398.607 * * [misc]simplify: Extracting #7: cost 5 inf + 2410 1550698398.608 * * [misc]simplify: Extracting #8: cost 1 inf + 4137 1550698398.609 * * [misc]simplify: Extracting #9: cost 0 inf + 4817 1550698398.610 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698398.610 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))))) 1550698398.610 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698398.610 * * [misc]simplify: iters left: 6 (13 enodes) 1550698398.616 * * [misc]simplify: iters left: 5 (41 enodes) 1550698398.630 * * [misc]simplify: iters left: 4 (45 enodes) 1550698398.644 * * [misc]simplify: iters left: 3 (46 enodes) 1550698398.657 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.657 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698398.657 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698398.657 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1550698398.657 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1550698398.657 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1550698398.657 * * [misc]simplify: Extracting #6: cost 11 inf + 767 1550698398.680 * * [misc]simplify: Extracting #7: cost 5 inf + 2410 1550698398.681 * * [misc]simplify: Extracting #8: cost 1 inf + 4137 1550698398.682 * * [misc]simplify: Extracting #9: cost 0 inf + 4817 1550698398.682 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698398.686 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))))) 1550698398.687 * * * * [misc]progress: [ 184 / 250 ] simplifiying candidate # 1550698398.689 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) 1550698398.689 * * [misc]simplify: iters left: 6 (15 enodes) 1550698398.711 * * [misc]simplify: iters left: 5 (51 enodes) 1550698398.727 * * [misc]simplify: iters left: 4 (65 enodes) 1550698398.747 * * [misc]simplify: iters left: 3 (84 enodes) 1550698398.772 * * [misc]simplify: iters left: 2 (90 enodes) 1550698398.796 * * [misc]simplify: iters left: 1 (98 enodes) 1550698398.822 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.823 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698398.823 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1550698398.823 * * [misc]simplify: Extracting #3: cost 39 inf + 1 1550698398.823 * * [misc]simplify: Extracting #4: cost 35 inf + 327 1550698398.824 * * [misc]simplify: Extracting #5: cost 25 inf + 2139 1550698398.826 * * [misc]simplify: Extracting #6: cost 3 inf + 12365 1550698398.829 * * [misc]simplify: Extracting #7: cost 0 inf + 13812 1550698398.832 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (/ (pow n (* k -1/2)) (cbrt (sqrt k))))) 1550698398.832 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (/ (pow n (* k -1/2)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n 1/2)))))) 1550698398.832 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n 1/2))) 1550698398.833 * * [misc]simplify: iters left: 6 (13 enodes) 1550698398.839 * * [misc]simplify: iters left: 5 (44 enodes) 1550698398.854 * * [misc]simplify: iters left: 4 (53 enodes) 1550698398.871 * * [misc]simplify: iters left: 3 (58 enodes) 1550698398.887 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698398.887 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698398.887 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698398.888 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1550698398.888 * * [misc]simplify: Extracting #4: cost 19 inf + 127 1550698398.888 * * [misc]simplify: Extracting #5: cost 15 inf + 453 1550698398.888 * * [misc]simplify: Extracting #6: cost 10 inf + 1082 1550698398.889 * * [misc]simplify: Extracting #7: cost 1 inf + 4520 1550698398.890 * * [misc]simplify: Extracting #8: cost 0 inf + 4989 1550698398.892 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (sqrt n))) 1550698398.892 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (cbrt (sqrt k)) (sqrt n)))))) 1550698398.892 * * * * [misc]progress: [ 185 / 250 ] simplifiying candidate # 1550698398.892 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698398.892 * * [misc]simplify: iters left: 6 (16 enodes) 1550698398.901 * * [misc]simplify: iters left: 5 (58 enodes) 1550698398.921 * * [misc]simplify: iters left: 4 (91 enodes) 1550698398.953 * * [misc]simplify: iters left: 3 (129 enodes) 1550698398.991 * * [misc]simplify: iters left: 2 (159 enodes) 1550698399.048 * * [misc]simplify: iters left: 1 (190 enodes) 1550698399.107 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698399.107 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1550698399.107 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1550698399.108 * * [misc]simplify: Extracting #3: cost 62 inf + 0 1550698399.108 * * [misc]simplify: Extracting #4: cost 59 inf + 447 1550698399.109 * * [misc]simplify: Extracting #5: cost 56 inf + 651 1550698399.110 * * [misc]simplify: Extracting #6: cost 45 inf + 3494 1550698399.113 * * [misc]simplify: Extracting #7: cost 21 inf + 17198 1550698399.121 * * [misc]simplify: Extracting #8: cost 3 inf + 28848 1550698399.128 * * [misc]simplify: Extracting #9: cost 0 inf + 30626 1550698399.135 * [exit]simplify: Simplified to (* (sqrt (pow PI (fma k -1/2 1/2))) (* (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))))) 1550698399.135 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (sqrt (pow PI (fma k -1/2 1/2))) (* (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698399.136 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698399.136 * * [misc]simplify: iters left: 6 (14 enodes) 1550698399.142 * * [misc]simplify: iters left: 5 (46 enodes) 1550698399.155 * * [misc]simplify: iters left: 4 (55 enodes) 1550698399.173 * * [misc]simplify: iters left: 3 (60 enodes) 1550698399.190 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698399.190 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698399.191 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698399.191 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698399.191 * * [misc]simplify: Extracting #4: cost 22 inf + 286 1550698399.191 * * [misc]simplify: Extracting #5: cost 20 inf + 329 1550698399.191 * * [misc]simplify: Extracting #6: cost 15 inf + 798 1550698399.192 * * [misc]simplify: Extracting #7: cost 2 inf + 6608 1550698399.194 * * [misc]simplify: Extracting #8: cost 0 inf + 7757 1550698399.195 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698399.195 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))))))) 1550698399.196 * * * * [misc]progress: [ 186 / 250 ] simplifiying candidate # 1550698399.196 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698399.196 * * [misc]simplify: iters left: 6 (15 enodes) 1550698399.204 * * [misc]simplify: iters left: 5 (51 enodes) 1550698399.220 * * [misc]simplify: iters left: 4 (67 enodes) 1550698399.240 * * [misc]simplify: iters left: 3 (87 enodes) 1550698399.265 * * [misc]simplify: iters left: 2 (93 enodes) 1550698399.290 * * [misc]simplify: iters left: 1 (101 enodes) 1550698399.319 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698399.319 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698399.319 * * [misc]simplify: Extracting #2: cost 32 inf + 0 1550698399.319 * * [misc]simplify: Extracting #3: cost 39 inf + 0 1550698399.320 * * [misc]simplify: Extracting #4: cost 35 inf + 528 1550698399.320 * * [misc]simplify: Extracting #5: cost 33 inf + 651 1550698399.321 * * [misc]simplify: Extracting #6: cost 25 inf + 2885 1550698399.323 * * [misc]simplify: Extracting #7: cost 8 inf + 10664 1550698399.326 * * [misc]simplify: Extracting #8: cost 0 inf + 14798 1550698399.329 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma k -1/2 1/2))))) 1550698399.329 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma k -1/2 1/2))))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698399.330 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698399.330 * * [misc]simplify: iters left: 6 (14 enodes) 1550698399.337 * * [misc]simplify: iters left: 5 (46 enodes) 1550698399.351 * * [misc]simplify: iters left: 4 (55 enodes) 1550698399.368 * * [misc]simplify: iters left: 3 (60 enodes) 1550698399.384 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698399.384 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698399.384 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698399.385 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698399.385 * * [misc]simplify: Extracting #4: cost 22 inf + 286 1550698399.385 * * [misc]simplify: Extracting #5: cost 20 inf + 329 1550698399.385 * * [misc]simplify: Extracting #6: cost 15 inf + 798 1550698399.386 * * [misc]simplify: Extracting #7: cost 2 inf + 6368 1550698399.388 * * [misc]simplify: Extracting #8: cost 0 inf + 7437 1550698399.389 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698399.389 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))))))) 1550698399.389 * * * * [misc]progress: [ 187 / 250 ] simplifiying candidate # 1550698399.390 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1550698399.390 * * [misc]simplify: iters left: 6 (13 enodes) 1550698399.397 * * [misc]simplify: iters left: 5 (45 enodes) 1550698399.415 * * [misc]simplify: iters left: 4 (64 enodes) 1550698399.432 * * [misc]simplify: iters left: 3 (76 enodes) 1550698399.454 * * [misc]simplify: iters left: 2 (83 enodes) 1550698399.481 * * [misc]simplify: iters left: 1 (96 enodes) 1550698399.512 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698399.512 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1550698399.512 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550698399.512 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1550698399.513 * * [misc]simplify: Extracting #4: cost 25 inf + 206 1550698399.513 * * [misc]simplify: Extracting #5: cost 19 inf + 856 1550698399.514 * * [misc]simplify: Extracting #6: cost 12 inf + 1992 1550698399.515 * * [misc]simplify: Extracting #7: cost 2 inf + 5831 1550698399.517 * * [misc]simplify: Extracting #8: cost 0 inf + 6849 1550698399.520 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698399.520 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))))))) 1550698399.520 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698399.521 * * [misc]simplify: iters left: 6 (13 enodes) 1550698399.527 * * [misc]simplify: iters left: 5 (43 enodes) 1550698399.541 * * [misc]simplify: iters left: 4 (52 enodes) 1550698399.556 * * [misc]simplify: iters left: 3 (57 enodes) 1550698399.573 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698399.573 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698399.573 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698399.573 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698399.573 * * [misc]simplify: Extracting #4: cost 18 inf + 250 1550698399.574 * * [misc]simplify: Extracting #5: cost 14 inf + 740 1550698399.574 * * [misc]simplify: Extracting #6: cost 3 inf + 4830 1550698399.576 * * [misc]simplify: Extracting #7: cost 0 inf + 6579 1550698399.577 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698399.577 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (pow n (fma k -1/2 1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))))))) 1550698399.577 * * * * [misc]progress: [ 188 / 250 ] simplifiying candidate # 1550698399.578 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) 1550698399.578 * * [misc]simplify: iters left: 6 (14 enodes) 1550698399.585 * * [misc]simplify: iters left: 5 (46 enodes) 1550698399.599 * * [misc]simplify: iters left: 4 (53 enodes) 1550698399.615 * * [misc]simplify: iters left: 3 (57 enodes) 1550698399.709 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698399.710 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698399.710 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698399.710 * * [misc]simplify: Extracting #3: cost 24 inf + 1 1550698399.710 * * [misc]simplify: Extracting #4: cost 20 inf + 167 1550698399.710 * * [misc]simplify: Extracting #5: cost 11 inf + 1539 1550698399.711 * * [misc]simplify: Extracting #6: cost 3 inf + 4606 1550698399.712 * * [misc]simplify: Extracting #7: cost 0 inf + 6355 1550698399.713 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698399.715 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow n (* k -1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n 1/2)))))) 1550698399.721 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550698399.721 * * [misc]simplify: iters left: 6 (13 enodes) 1550698399.730 * * [misc]simplify: iters left: 5 (44 enodes) 1550698399.739 * * [misc]simplify: iters left: 4 (53 enodes) 1550698399.755 * * [misc]simplify: iters left: 3 (58 enodes) 1550698399.771 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698399.771 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698399.771 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698399.771 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1550698399.771 * * [misc]simplify: Extracting #4: cost 19 inf + 127 1550698399.771 * * [misc]simplify: Extracting #5: cost 15 inf + 373 1550698399.772 * * [misc]simplify: Extracting #6: cost 10 inf + 962 1550698399.773 * * [misc]simplify: Extracting #7: cost 1 inf + 4240 1550698399.774 * * [misc]simplify: Extracting #8: cost 0 inf + 4669 1550698399.775 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (sqrt n))) 1550698399.775 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (sqrt n)))))) 1550698399.775 * * * * [misc]progress: [ 189 / 250 ] simplifiying candidate # 1550698399.776 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698399.777 * * [misc]simplify: iters left: 6 (15 enodes) 1550698399.784 * * [misc]simplify: iters left: 5 (51 enodes) 1550698399.801 * * [misc]simplify: iters left: 4 (66 enodes) 1550698399.822 * * [misc]simplify: iters left: 3 (79 enodes) 1550698399.844 * * [misc]simplify: iters left: 2 (87 enodes) 1550698399.867 * * [misc]simplify: iters left: 1 (93 enodes) 1550698399.959 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698399.960 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1550698399.960 * * [misc]simplify: Extracting #2: cost 29 inf + 0 1550698399.960 * * [misc]simplify: Extracting #3: cost 36 inf + 0 1550698399.960 * * [misc]simplify: Extracting #4: cost 34 inf + 166 1550698399.960 * * [misc]simplify: Extracting #5: cost 32 inf + 249 1550698399.961 * * [misc]simplify: Extracting #6: cost 27 inf + 929 1550698399.962 * * [misc]simplify: Extracting #7: cost 12 inf + 7426 1550698399.971 * * [misc]simplify: Extracting #8: cost 0 inf + 14571 1550698399.974 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma k -1/2 1/2))))) (cbrt (pow n (fma k -1/2 1/2)))) 1550698399.975 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma k -1/2 1/2))))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698399.977 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698399.977 * * [misc]simplify: iters left: 6 (14 enodes) 1550698399.988 * * [misc]simplify: iters left: 5 (46 enodes) 1550698400.003 * * [misc]simplify: iters left: 4 (55 enodes) 1550698400.021 * * [misc]simplify: iters left: 3 (60 enodes) 1550698400.038 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698400.038 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698400.038 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698400.039 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698400.039 * * [misc]simplify: Extracting #4: cost 22 inf + 206 1550698400.039 * * [misc]simplify: Extracting #5: cost 20 inf + 249 1550698400.039 * * [misc]simplify: Extracting #6: cost 15 inf + 718 1550698400.040 * * [misc]simplify: Extracting #7: cost 2 inf + 6328 1550698400.042 * * [misc]simplify: Extracting #8: cost 0 inf + 7437 1550698400.043 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698400.043 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))))))) 1550698400.043 * * * * [misc]progress: [ 190 / 250 ] simplifiying candidate # 1550698400.046 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698400.046 * * [misc]simplify: iters left: 6 (14 enodes) 1550698400.052 * * [misc]simplify: iters left: 5 (46 enodes) 1550698400.066 * * [misc]simplify: iters left: 4 (55 enodes) 1550698400.083 * * [misc]simplify: iters left: 3 (60 enodes) 1550698400.100 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698400.100 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698400.101 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698400.101 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698400.101 * * [misc]simplify: Extracting #4: cost 22 inf + 206 1550698400.101 * * [misc]simplify: Extracting #5: cost 20 inf + 249 1550698400.101 * * [misc]simplify: Extracting #6: cost 15 inf + 718 1550698400.102 * * [misc]simplify: Extracting #7: cost 2 inf + 6088 1550698400.104 * * [misc]simplify: Extracting #8: cost 0 inf + 7117 1550698400.105 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698400.105 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698400.106 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698400.106 * * [misc]simplify: iters left: 6 (14 enodes) 1550698400.113 * * [misc]simplify: iters left: 5 (46 enodes) 1550698400.205 * * [misc]simplify: iters left: 4 (55 enodes) 1550698400.223 * * [misc]simplify: iters left: 3 (60 enodes) 1550698400.240 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698400.240 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698400.240 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698400.240 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1550698400.240 * * [misc]simplify: Extracting #4: cost 22 inf + 206 1550698400.241 * * [misc]simplify: Extracting #5: cost 20 inf + 249 1550698400.241 * * [misc]simplify: Extracting #6: cost 15 inf + 718 1550698400.242 * * [misc]simplify: Extracting #7: cost 2 inf + 6088 1550698400.243 * * [misc]simplify: Extracting #8: cost 0 inf + 7117 1550698400.245 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698400.245 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))))))) 1550698400.245 * * * * [misc]progress: [ 191 / 250 ] simplifiying candidate # 1550698400.247 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) 1)) 1550698400.247 * * [misc]simplify: iters left: 6 (12 enodes) 1550698400.265 * * [misc]simplify: iters left: 5 (40 enodes) 1550698400.279 * * [misc]simplify: iters left: 4 (48 enodes) 1550698400.300 * * [misc]simplify: iters left: 3 (52 enodes) 1550698400.311 * * [misc]simplify: iters left: 2 (53 enodes) 1550698400.325 * * [misc]simplify: iters left: 1 (55 enodes) 1550698400.341 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698400.341 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698400.341 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1550698400.341 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1550698400.341 * * [misc]simplify: Extracting #4: cost 15 inf + 85 1550698400.341 * * [misc]simplify: Extracting #5: cost 13 inf + 168 1550698400.341 * * [misc]simplify: Extracting #6: cost 6 inf + 987 1550698400.342 * * [misc]simplify: Extracting #7: cost 3 inf + 2034 1550698400.343 * * [misc]simplify: Extracting #8: cost 0 inf + 3321 1550698400.344 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))) 1550698400.344 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))))))) 1550698400.344 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698400.344 * * [misc]simplify: iters left: 6 (13 enodes) 1550698400.351 * * [misc]simplify: iters left: 5 (43 enodes) 1550698400.365 * * [misc]simplify: iters left: 4 (52 enodes) 1550698400.522 * * [misc]simplify: iters left: 3 (57 enodes) 1550698400.540 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698400.540 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698400.540 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698400.540 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698400.540 * * [misc]simplify: Extracting #4: cost 18 inf + 210 1550698400.540 * * [misc]simplify: Extracting #5: cost 14 inf + 660 1550698400.541 * * [misc]simplify: Extracting #6: cost 3 inf + 4590 1550698400.543 * * [misc]simplify: Extracting #7: cost 0 inf + 6259 1550698400.544 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1550698400.548 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) 1)) (* (pow n (fma k -1/2 1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))))))) 1550698400.548 * * * * [misc]progress: [ 192 / 250 ] simplifiying candidate # 1550698400.552 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (* -1/2 k)))) 1550698400.552 * * [misc]simplify: iters left: 6 (13 enodes) 1550698400.571 * * [misc]simplify: iters left: 5 (45 enodes) 1550698400.590 * * [misc]simplify: iters left: 4 (50 enodes) 1550698400.606 * * [misc]simplify: iters left: 3 (57 enodes) 1550698400.623 * * [misc]simplify: iters left: 2 (58 enodes) 1550698400.639 * * [misc]simplify: iters left: 1 (60 enodes) 1550698400.656 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698400.656 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698400.656 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698400.656 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1550698400.656 * * [misc]simplify: Extracting #4: cost 16 inf + 47 1550698400.656 * * [misc]simplify: Extracting #5: cost 11 inf + 890 1550698400.657 * * [misc]simplify: Extracting #6: cost 7 inf + 1569 1550698400.658 * * [misc]simplify: Extracting #7: cost 1 inf + 4006 1550698400.658 * * [misc]simplify: Extracting #8: cost 0 inf + 4356 1550698400.659 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (sqrt (pow PI (fma k -1/2 1/2)))) 1550698400.660 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow n (* k -1/2)) (sqrt (pow PI (fma k -1/2 1/2)))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n 1/2)))))) 1550698400.660 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n 1/2))) 1550698400.660 * * [misc]simplify: iters left: 5 (12 enodes) 1550698400.666 * * [misc]simplify: iters left: 4 (41 enodes) 1550698400.689 * * [misc]simplify: iters left: 3 (50 enodes) 1550698400.742 * * [misc]simplify: iters left: 2 (55 enodes) 1550698400.873 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698400.876 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698400.876 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698400.876 * * [misc]simplify: Extracting #3: cost 16 inf + 85 1550698400.876 * * [misc]simplify: Extracting #4: cost 14 inf + 412 1550698400.876 * * [misc]simplify: Extracting #5: cost 14 inf + 413 1550698400.876 * * [misc]simplify: Extracting #6: cost 11 inf + 782 1550698400.876 * * [misc]simplify: Extracting #7: cost 2 inf + 3407 1550698400.877 * * [misc]simplify: Extracting #8: cost 0 inf + 4267 1550698400.877 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow PI (fma k -1/2 1/2)))) (sqrt k)) 1550698400.881 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (* -1/2 k)))) (/ (* (sqrt n) (sqrt (pow PI (fma k -1/2 1/2)))) (sqrt k))))) 1550698400.884 * * * * [misc]progress: [ 193 / 250 ] simplifiying candidate # 1550698400.888 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698400.888 * * [misc]simplify: iters left: 6 (14 enodes) 1550698400.895 * * [misc]simplify: iters left: 5 (50 enodes) 1550698400.911 * * [misc]simplify: iters left: 4 (63 enodes) 1550698400.931 * * [misc]simplify: iters left: 3 (79 enodes) 1550698400.943 * * [misc]simplify: iters left: 2 (88 enodes) 1550698400.968 * * [misc]simplify: iters left: 1 (112 enodes) 1550698401.003 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.003 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698401.004 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1550698401.004 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698401.004 * * [misc]simplify: Extracting #4: cost 28 inf + 3 1550698401.004 * * [misc]simplify: Extracting #5: cost 26 inf + 6 1550698401.005 * * [misc]simplify: Extracting #6: cost 20 inf + 744 1550698401.006 * * [misc]simplify: Extracting #7: cost 5 inf + 7228 1550698401.023 * * [misc]simplify: Extracting #8: cost 0 inf + 9718 1550698401.026 * [exit]simplify: Simplified to (* (sqrt (pow PI (fma k -1/2 1/2))) (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2))))) 1550698401.032 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (sqrt (pow PI (fma k -1/2 1/2))) (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2))))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698401.033 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698401.034 * * [misc]simplify: iters left: 6 (13 enodes) 1550698401.046 * * [misc]simplify: iters left: 5 (43 enodes) 1550698401.067 * * [misc]simplify: iters left: 4 (52 enodes) 1550698401.083 * * [misc]simplify: iters left: 3 (57 enodes) 1550698401.100 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.100 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698401.100 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698401.100 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550698401.102 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1550698401.102 * * [misc]simplify: Extracting #5: cost 19 inf + 129 1550698401.102 * * [misc]simplify: Extracting #6: cost 15 inf + 767 1550698401.103 * * [misc]simplify: Extracting #7: cost 3 inf + 5286 1550698401.104 * * [misc]simplify: Extracting #8: cost 0 inf + 7035 1550698401.105 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698401.106 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)))))) 1550698401.106 * * * * [misc]progress: [ 194 / 250 ] simplifiying candidate # 1550698401.111 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (sqrt (pow n (fma -1/2 k 1/2))))) 1550698401.111 * * [misc]simplify: iters left: 6 (13 enodes) 1550698401.124 * * [misc]simplify: iters left: 5 (45 enodes) 1550698401.140 * * [misc]simplify: iters left: 4 (52 enodes) 1550698401.155 * * [misc]simplify: iters left: 3 (60 enodes) 1550698401.168 * * [misc]simplify: iters left: 2 (61 enodes) 1550698401.185 * * [misc]simplify: iters left: 1 (63 enodes) 1550698401.201 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.201 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698401.202 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550698401.202 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550698401.202 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1550698401.202 * * [misc]simplify: Extracting #5: cost 17 inf + 48 1550698401.202 * * [misc]simplify: Extracting #6: cost 12 inf + 744 1550698401.203 * * [misc]simplify: Extracting #7: cost 1 inf + 4768 1550698401.204 * * [misc]simplify: Extracting #8: cost 0 inf + 5118 1550698401.205 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (sqrt (pow PI (fma k -1/2 1/2)))) 1550698401.205 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (sqrt (pow n (fma k -1/2 1/2))) (sqrt (pow PI (fma k -1/2 1/2)))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698401.206 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698401.206 * * [misc]simplify: iters left: 6 (13 enodes) 1550698401.214 * * [misc]simplify: iters left: 5 (43 enodes) 1550698401.227 * * [misc]simplify: iters left: 4 (52 enodes) 1550698401.242 * * [misc]simplify: iters left: 3 (57 enodes) 1550698401.256 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.256 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698401.257 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1550698401.257 * * [misc]simplify: Extracting #3: cost 20 inf + 42 1550698401.257 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1550698401.257 * * [misc]simplify: Extracting #5: cost 19 inf + 129 1550698401.257 * * [misc]simplify: Extracting #6: cost 15 inf + 767 1550698401.258 * * [misc]simplify: Extracting #7: cost 3 inf + 5046 1550698401.259 * * [misc]simplify: Extracting #8: cost 0 inf + 6715 1550698401.261 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k))) 1550698401.261 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (sqrt (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)))))) 1550698401.261 * * * * [misc]progress: [ 195 / 250 ] simplifiying candidate # 1550698401.261 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 1)) 1550698401.261 * * [misc]simplify: iters left: 5 (10 enodes) 1550698401.267 * * [misc]simplify: iters left: 4 (32 enodes) 1550698401.276 * * [misc]simplify: iters left: 3 (38 enodes) 1550698401.287 * * [misc]simplify: iters left: 2 (41 enodes) 1550698401.298 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.299 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698401.299 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698401.299 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550698401.299 * * [misc]simplify: Extracting #4: cost 1 inf + 1319 1550698401.299 * * [misc]simplify: Extracting #5: cost 0 inf + 1361 1550698401.300 * [exit]simplify: Simplified to (sqrt (pow PI (fma k -1/2 1/2))) 1550698401.300 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698401.300 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698401.300 * * [misc]simplify: iters left: 6 (12 enodes) 1550698401.306 * * [misc]simplify: iters left: 5 (40 enodes) 1550698401.318 * * [misc]simplify: iters left: 4 (49 enodes) 1550698401.331 * * [misc]simplify: iters left: 3 (54 enodes) 1550698401.347 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.347 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698401.347 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698401.347 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698401.347 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698401.347 * * [misc]simplify: Extracting #5: cost 12 inf + 1263 1550698401.348 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550698401.349 * * [misc]simplify: Extracting #7: cost 0 inf + 5857 1550698401.350 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698401.350 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 1)) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2)))))) 1550698401.351 * * * * [misc]progress: [ 196 / 250 ] simplifiying candidate # 1550698401.351 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) 1) 1550698401.351 * * [misc]simplify: iters left: 5 (9 enodes) 1550698401.356 * * [misc]simplify: iters left: 4 (29 enodes) 1550698401.370 * * [misc]simplify: iters left: 3 (35 enodes) 1550698401.381 * * [misc]simplify: iters left: 2 (36 enodes) 1550698401.393 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.393 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698401.393 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698401.393 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550698401.393 * * [misc]simplify: Extracting #4: cost 8 inf + 5 1550698401.393 * * [misc]simplify: Extracting #5: cost 5 inf + 374 1550698401.394 * * [misc]simplify: Extracting #6: cost 0 inf + 1361 1550698401.394 * [exit]simplify: Simplified to (sqrt (pow PI (fma k -1/2 1/2))) 1550698401.394 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698401.395 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698401.395 * * [misc]simplify: iters left: 6 (12 enodes) 1550698401.401 * * [misc]simplify: iters left: 5 (40 enodes) 1550698401.414 * * [misc]simplify: iters left: 4 (49 enodes) 1550698401.427 * * [misc]simplify: iters left: 3 (54 enodes) 1550698401.439 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.439 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698401.439 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698401.440 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698401.440 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698401.440 * * [misc]simplify: Extracting #5: cost 12 inf + 1263 1550698401.441 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550698401.442 * * [misc]simplify: Extracting #7: cost 0 inf + 5857 1550698401.443 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698401.443 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) 1) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (pow n (fma k -1/2 1/2)))))) 1550698401.443 * * * * [misc]progress: [ 197 / 250 ] simplifiying candidate # 1550698401.444 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (sqrt k)) 1550698401.444 * * [misc]simplify: iters left: 5 (9 enodes) 1550698401.449 * * [misc]simplify: iters left: 4 (29 enodes) 1550698401.455 * * [misc]simplify: iters left: 3 (33 enodes) 1550698401.462 * * [misc]simplify: iters left: 2 (34 enodes) 1550698401.471 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.471 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698401.471 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698401.471 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1550698401.471 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1550698401.471 * * [misc]simplify: Extracting #5: cost 9 inf + 128 1550698401.472 * * [misc]simplify: Extracting #6: cost 6 inf + 497 1550698401.472 * * [misc]simplify: Extracting #7: cost 1 inf + 1911 1550698401.472 * * [misc]simplify: Extracting #8: cost 0 inf + 2220 1550698401.473 * [exit]simplify: Simplified to (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) 1550698401.473 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma k -1/2 1/2))) (sqrt k)) (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (fma -1/2 k 1/2))))))) 1550698401.473 * [enter]simplify: Simplifying (/ (sqrt (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (fma -1/2 k 1/2)))) 1550698401.474 * * [misc]simplify: iters left: 6 (12 enodes) 1550698401.480 * * [misc]simplify: iters left: 5 (42 enodes) 1550698401.494 * * [misc]simplify: iters left: 4 (49 enodes) 1550698401.509 * * [misc]simplify: iters left: 3 (57 enodes) 1550698401.528 * * [misc]simplify: iters left: 2 (58 enodes) 1550698401.544 * * [misc]simplify: iters left: 1 (60 enodes) 1550698401.560 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.560 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698401.560 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698401.560 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1550698401.560 * * [misc]simplify: Extracting #4: cost 16 inf + 6 1550698401.561 * * [misc]simplify: Extracting #5: cost 10 inf + 744 1550698401.561 * * [misc]simplify: Extracting #6: cost 3 inf + 3120 1550698401.562 * * [misc]simplify: Extracting #7: cost 0 inf + 4340 1550698401.563 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (sqrt (pow PI (fma k -1/2 1/2)))) 1550698401.563 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow PI (fma -1/2 k 1/2))) (sqrt k)) (* (pow n (fma k -1/2 1/2)) (sqrt (pow PI (fma k -1/2 1/2))))))) 1550698401.563 * * * * [misc]progress: [ 198 / 250 ] simplifiying candidate # 1550698401.564 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698401.564 * * [misc]simplify: iters left: 6 (12 enodes) 1550698401.571 * * [misc]simplify: iters left: 5 (42 enodes) 1550698401.585 * * [misc]simplify: iters left: 4 (50 enodes) 1550698401.602 * * [misc]simplify: iters left: 3 (51 enodes) 1550698401.618 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.618 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698401.618 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550698401.618 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1550698401.618 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1550698401.618 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1550698401.618 * * [misc]simplify: Extracting #6: cost 15 inf + 129 1550698401.619 * * [misc]simplify: Extracting #7: cost 10 inf + 825 1550698401.619 * * [misc]simplify: Extracting #8: cost 8 inf + 1603 1550698401.620 * * [misc]simplify: Extracting #9: cost 3 inf + 3830 1550698401.621 * * [misc]simplify: Extracting #10: cost 0 inf + 5279 1550698401.622 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698401.622 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (/ (pow PI (fma -1/2 k 1/2)) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))))) 1550698401.622 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698401.623 * * [misc]simplify: iters left: 6 (12 enodes) 1550698401.629 * * [misc]simplify: iters left: 5 (38 enodes) 1550698401.646 * * [misc]simplify: iters left: 4 (42 enodes) 1550698401.658 * * [misc]simplify: iters left: 3 (43 enodes) 1550698401.667 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.667 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698401.667 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698401.667 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550698401.667 * * [misc]simplify: Extracting #4: cost 16 inf + 45 1550698401.667 * * [misc]simplify: Extracting #5: cost 8 inf + 825 1550698401.667 * * [misc]simplify: Extracting #6: cost 4 inf + 2061 1550698401.668 * * [misc]simplify: Extracting #7: cost 1 inf + 3599 1550698401.668 * * [misc]simplify: Extracting #8: cost 0 inf + 4279 1550698401.669 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698401.669 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))))) 1550698401.669 * * * * [misc]progress: [ 199 / 250 ] simplifiying candidate # 1550698401.670 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698401.670 * * [misc]simplify: iters left: 6 (11 enodes) 1550698401.677 * * [misc]simplify: iters left: 5 (37 enodes) 1550698401.692 * * [misc]simplify: iters left: 4 (43 enodes) 1550698401.704 * * [misc]simplify: iters left: 3 (44 enodes) 1550698401.714 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.714 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698401.715 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698401.715 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1550698401.715 * * [misc]simplify: Extracting #4: cost 13 inf + 1 1550698401.715 * * [misc]simplify: Extracting #5: cost 15 inf + 3 1550698401.715 * * [misc]simplify: Extracting #6: cost 12 inf + 88 1550698401.715 * * [misc]simplify: Extracting #7: cost 7 inf + 556 1550698401.716 * * [misc]simplify: Extracting #8: cost 3 inf + 1912 1550698401.716 * * [misc]simplify: Extracting #9: cost 0 inf + 3161 1550698401.717 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698401.717 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (/ (pow PI (fma -1/2 k 1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))))) 1550698401.717 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1550698401.717 * * [misc]simplify: iters left: 6 (12 enodes) 1550698401.722 * * [misc]simplify: iters left: 5 (38 enodes) 1550698401.732 * * [misc]simplify: iters left: 4 (42 enodes) 1550698401.743 * * [misc]simplify: iters left: 3 (43 enodes) 1550698401.751 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698401.751 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698401.751 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698401.751 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1550698401.751 * * [misc]simplify: Extracting #4: cost 16 inf + 45 1550698401.751 * * [misc]simplify: Extracting #5: cost 8 inf + 825 1550698401.752 * * [misc]simplify: Extracting #6: cost 4 inf + 2061 1550698401.752 * * [misc]simplify: Extracting #7: cost 1 inf + 3479 1550698401.752 * * [misc]simplify: Extracting #8: cost 0 inf + 4119 1550698401.753 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1550698401.753 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2)))))))) 1550698401.753 * * * * [misc]progress: [ 200 / 250 ] simplifiying candidate # 1550698401.753 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) 1550698401.753 * * [misc]simplify: iters left: 6 (11 enodes) 1550698401.759 * * [misc]simplify: iters left: 5 (40 enodes) 1550698401.773 * * [misc]simplify: iters left: 4 (54 enodes) 1550698401.789 * * [misc]simplify: iters left: 3 (69 enodes) 1550698401.826 * * [misc]simplify: iters left: 2 (94 enodes) 1550698401.973 * * [misc]simplify: iters left: 1 (99 enodes) 1550698402.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698402.007 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698402.007 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1550698402.008 * * [misc]simplify: Extracting #3: cost 24 inf + 2 1550698402.008 * * [misc]simplify: Extracting #4: cost 22 inf + 4 1550698402.008 * * [misc]simplify: Extracting #5: cost 11 inf + 1854 1550698402.009 * * [misc]simplify: Extracting #6: cost 1 inf + 5230 1550698402.010 * * [misc]simplify: Extracting #7: cost 0 inf + 5432 1550698402.011 * [exit]simplify: Simplified to (/ (pow n (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698402.012 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow n (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n 1/2)))))) 1550698402.013 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n 1/2))) 1550698402.013 * * [misc]simplify: iters left: 6 (12 enodes) 1550698402.018 * * [misc]simplify: iters left: 5 (41 enodes) 1550698402.031 * * [misc]simplify: iters left: 4 (50 enodes) 1550698402.046 * * [misc]simplify: iters left: 3 (55 enodes) 1550698402.061 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698402.062 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698402.062 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698402.062 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1550698402.062 * * [misc]simplify: Extracting #4: cost 15 inf + 370 1550698402.062 * * [misc]simplify: Extracting #5: cost 9 inf + 1184 1550698402.063 * * [misc]simplify: Extracting #6: cost 2 inf + 3271 1550698402.064 * * [misc]simplify: Extracting #7: cost 0 inf + 4131 1550698402.065 * [exit]simplify: Simplified to (/ (* (sqrt n) (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k))) 1550698402.065 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow n (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (sqrt n) (pow PI (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1550698402.065 * * * * [misc]progress: [ 201 / 250 ] simplifiying candidate # 1550698402.065 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698402.066 * * [misc]simplify: iters left: 6 (14 enodes) 1550698402.074 * * [misc]simplify: iters left: 5 (54 enodes) 1550698402.092 * * [misc]simplify: iters left: 4 (89 enodes) 1550698402.189 * * [misc]simplify: iters left: 3 (125 enodes) 1550698402.265 * * [misc]simplify: iters left: 2 (179 enodes) 1550698402.383 * * [misc]simplify: iters left: 1 (202 enodes) 1550698402.437 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698402.438 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1550698402.438 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1550698402.438 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1550698402.438 * * [misc]simplify: Extracting #4: cost 37 inf + 3 1550698402.439 * * [misc]simplify: Extracting #5: cost 25 inf + 1321 1550698402.441 * * [misc]simplify: Extracting #6: cost 10 inf + 6967 1550698402.445 * * [misc]simplify: Extracting #7: cost 0 inf + 12217 1550698402.449 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1550698402.449 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698402.450 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698402.450 * * [misc]simplify: iters left: 6 (13 enodes) 1550698402.456 * * [misc]simplify: iters left: 5 (43 enodes) 1550698402.470 * * [misc]simplify: iters left: 4 (52 enodes) 1550698402.485 * * [misc]simplify: iters left: 3 (57 enodes) 1550698402.501 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698402.501 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698402.501 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698402.501 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698402.501 * * [misc]simplify: Extracting #4: cost 17 inf + 371 1550698402.501 * * [misc]simplify: Extracting #5: cost 13 inf + 1009 1550698402.502 * * [misc]simplify: Extracting #6: cost 3 inf + 5110 1550698402.503 * * [misc]simplify: Extracting #7: cost 0 inf + 6899 1550698402.505 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))) 1550698402.505 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k))))))) 1550698402.505 * * * * [misc]progress: [ 202 / 250 ] simplifiying candidate # 1550698402.505 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698402.506 * * [misc]simplify: iters left: 6 (13 enodes) 1550698402.513 * * [misc]simplify: iters left: 5 (47 enodes) 1550698402.529 * * [misc]simplify: iters left: 4 (65 enodes) 1550698402.549 * * [misc]simplify: iters left: 3 (81 enodes) 1550698402.689 * * [misc]simplify: iters left: 2 (106 enodes) 1550698402.737 * * [misc]simplify: iters left: 1 (110 enodes) 1550698402.763 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698402.763 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698402.763 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1550698402.763 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698402.763 * * [misc]simplify: Extracting #4: cost 27 inf + 3 1550698402.763 * * [misc]simplify: Extracting #5: cost 16 inf + 1263 1550698402.765 * * [misc]simplify: Extracting #6: cost 2 inf + 5669 1550698402.767 * * [misc]simplify: Extracting #7: cost 0 inf + 6647 1550698402.769 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698402.770 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698402.771 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698402.771 * * [misc]simplify: iters left: 6 (13 enodes) 1550698402.794 * * [misc]simplify: iters left: 5 (43 enodes) 1550698402.811 * * [misc]simplify: iters left: 4 (52 enodes) 1550698402.828 * * [misc]simplify: iters left: 3 (57 enodes) 1550698402.845 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698402.845 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698402.845 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698402.845 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698402.845 * * [misc]simplify: Extracting #4: cost 17 inf + 371 1550698402.845 * * [misc]simplify: Extracting #5: cost 13 inf + 1009 1550698402.847 * * [misc]simplify: Extracting #6: cost 3 inf + 4870 1550698402.865 * * [misc]simplify: Extracting #7: cost 0 inf + 6579 1550698402.867 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))) 1550698402.867 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k))))))) 1550698402.867 * * * * [misc]progress: [ 203 / 250 ] simplifiying candidate # 1550698402.867 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1550698402.868 * * [misc]simplify: iters left: 6 (7 enodes) 1550698402.872 * * [misc]simplify: iters left: 5 (25 enodes) 1550698402.891 * * [misc]simplify: iters left: 4 (38 enodes) 1550698402.920 * * [misc]simplify: iters left: 3 (41 enodes) 1550698402.942 * * [misc]simplify: iters left: 2 (42 enodes) 1550698402.952 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698402.952 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698402.953 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550698402.953 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1550698402.953 * * [misc]simplify: Extracting #4: cost 10 inf + 2 1550698402.953 * * [misc]simplify: Extracting #5: cost 2 inf + 1093 1550698402.953 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1550698402.954 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1550698402.954 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))))))) 1550698402.954 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698402.955 * * [misc]simplify: iters left: 6 (12 enodes) 1550698402.961 * * [misc]simplify: iters left: 5 (40 enodes) 1550698402.974 * * [misc]simplify: iters left: 4 (49 enodes) 1550698402.989 * * [misc]simplify: iters left: 3 (54 enodes) 1550698403.003 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.004 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698403.004 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698403.004 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1550698403.004 * * [misc]simplify: Extracting #4: cost 16 inf + 329 1550698403.004 * * [misc]simplify: Extracting #5: cost 10 inf + 1505 1550698403.005 * * [misc]simplify: Extracting #6: cost 1 inf + 5041 1550698403.006 * * [misc]simplify: Extracting #7: cost 0 inf + 5721 1550698403.007 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k))) (pow n (fma k -1/2 1/2))) 1550698403.007 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k))) (pow n (fma k -1/2 1/2)))))) 1550698403.007 * * * * [misc]progress: [ 204 / 250 ] simplifiying candidate # 1550698403.008 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) 1550698403.008 * * [misc]simplify: iters left: 6 (10 enodes) 1550698403.013 * * [misc]simplify: iters left: 5 (35 enodes) 1550698403.024 * * [misc]simplify: iters left: 4 (42 enodes) 1550698403.037 * * [misc]simplify: iters left: 3 (44 enodes) 1550698403.051 * * [misc]simplify: iters left: 2 (56 enodes) 1550698403.071 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.071 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698403.072 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698403.072 * * [misc]simplify: Extracting #3: cost 16 inf + 2 1550698403.072 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1550698403.072 * * [misc]simplify: Extracting #5: cost 5 inf + 1503 1550698403.073 * * [misc]simplify: Extracting #6: cost 1 inf + 2452 1550698403.073 * * [misc]simplify: Extracting #7: cost 0 inf + 2574 1550698403.074 * [exit]simplify: Simplified to (/ (pow n (* -1/2 k)) (sqrt (sqrt k))) 1550698403.074 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow n (* -1/2 k)) (sqrt (sqrt k))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n 1/2)))))) 1550698403.075 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n 1/2))) 1550698403.075 * * [misc]simplify: iters left: 6 (12 enodes) 1550698403.081 * * [misc]simplify: iters left: 5 (41 enodes) 1550698403.094 * * [misc]simplify: iters left: 4 (50 enodes) 1550698403.108 * * [misc]simplify: iters left: 3 (55 enodes) 1550698403.123 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.123 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698403.123 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698403.123 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1550698403.124 * * [misc]simplify: Extracting #4: cost 15 inf + 290 1550698403.124 * * [misc]simplify: Extracting #5: cost 9 inf + 1024 1550698403.125 * * [misc]simplify: Extracting #6: cost 2 inf + 2991 1550698403.125 * * [misc]simplify: Extracting #7: cost 0 inf + 3811 1550698403.126 * [exit]simplify: Simplified to (/ (* (sqrt n) (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k))) 1550698403.126 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow n (* -1/2 k)) (sqrt (sqrt k))) (/ (* (sqrt n) (pow PI (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1550698403.127 * * * * [misc]progress: [ 205 / 250 ] simplifiying candidate # 1550698403.127 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698403.127 * * [misc]simplify: iters left: 6 (13 enodes) 1550698403.134 * * [misc]simplify: iters left: 5 (47 enodes) 1550698403.149 * * [misc]simplify: iters left: 4 (64 enodes) 1550698403.169 * * [misc]simplify: iters left: 3 (75 enodes) 1550698403.192 * * [misc]simplify: iters left: 2 (90 enodes) 1550698403.218 * * [misc]simplify: iters left: 1 (99 enodes) 1550698403.248 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.248 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1550698403.248 * * [misc]simplify: Extracting #2: cost 18 inf + 1 1550698403.248 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1550698403.249 * * [misc]simplify: Extracting #4: cost 25 inf + 3 1550698403.249 * * [misc]simplify: Extracting #5: cost 19 inf + 291 1550698403.249 * * [misc]simplify: Extracting #6: cost 11 inf + 1780 1550698403.251 * * [misc]simplify: Extracting #7: cost 2 inf + 5641 1550698403.253 * * [misc]simplify: Extracting #8: cost 0 inf + 6619 1550698403.255 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698403.255 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (cbrt (pow n (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698403.255 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698403.255 * * [misc]simplify: iters left: 6 (13 enodes) 1550698403.262 * * [misc]simplify: iters left: 5 (43 enodes) 1550698403.276 * * [misc]simplify: iters left: 4 (52 enodes) 1550698403.293 * * [misc]simplify: iters left: 3 (57 enodes) 1550698403.309 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.309 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698403.309 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698403.309 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698403.310 * * [misc]simplify: Extracting #4: cost 17 inf + 291 1550698403.310 * * [misc]simplify: Extracting #5: cost 13 inf + 929 1550698403.311 * * [misc]simplify: Extracting #6: cost 3 inf + 4870 1550698403.312 * * [misc]simplify: Extracting #7: cost 0 inf + 6579 1550698403.313 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))) 1550698403.313 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (cbrt (pow n (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))))))) 1550698403.313 * * * * [misc]progress: [ 206 / 250 ] simplifiying candidate # 1550698403.314 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698403.314 * * [misc]simplify: iters left: 6 (12 enodes) 1550698403.320 * * [misc]simplify: iters left: 5 (42 enodes) 1550698403.334 * * [misc]simplify: iters left: 4 (53 enodes) 1550698403.350 * * [misc]simplify: iters left: 3 (56 enodes) 1550698403.367 * * [misc]simplify: iters left: 2 (68 enodes) 1550698403.497 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.497 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698403.497 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1550698403.497 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1550698403.497 * * [misc]simplify: Extracting #4: cost 19 inf + 3 1550698403.498 * * [misc]simplify: Extracting #5: cost 12 inf + 365 1550698403.498 * * [misc]simplify: Extracting #6: cost 6 inf + 1578 1550698403.499 * * [misc]simplify: Extracting #7: cost 1 inf + 3136 1550698403.500 * * [misc]simplify: Extracting #8: cost 0 inf + 3565 1550698403.502 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1550698403.503 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698403.508 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698403.508 * * [misc]simplify: iters left: 6 (13 enodes) 1550698403.512 * * [misc]simplify: iters left: 5 (43 enodes) 1550698403.520 * * [misc]simplify: iters left: 4 (52 enodes) 1550698403.535 * * [misc]simplify: iters left: 3 (57 enodes) 1550698403.551 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.551 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698403.551 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698403.551 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1550698403.552 * * [misc]simplify: Extracting #4: cost 17 inf + 291 1550698403.552 * * [misc]simplify: Extracting #5: cost 13 inf + 929 1550698403.553 * * [misc]simplify: Extracting #6: cost 3 inf + 4630 1550698403.554 * * [misc]simplify: Extracting #7: cost 0 inf + 6259 1550698403.555 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))) 1550698403.555 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))))))) 1550698403.555 * * * * [misc]progress: [ 207 / 250 ] simplifiying candidate # 1550698403.556 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1550698403.556 * * [misc]simplify: iters left: 6 (6 enodes) 1550698403.559 * * [misc]simplify: iters left: 5 (20 enodes) 1550698403.566 * * [misc]simplify: iters left: 4 (24 enodes) 1550698403.573 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.573 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698403.573 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698403.573 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1550698403.573 * * [misc]simplify: Extracting #4: cost 6 inf + 2 1550698403.573 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1550698403.573 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1550698403.573 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))))))) 1550698403.574 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1550698403.574 * * [misc]simplify: iters left: 6 (12 enodes) 1550698403.580 * * [misc]simplify: iters left: 5 (40 enodes) 1550698403.594 * * [misc]simplify: iters left: 4 (49 enodes) 1550698403.606 * * [misc]simplify: iters left: 3 (54 enodes) 1550698403.620 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.620 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698403.620 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698403.620 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1550698403.620 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1550698403.621 * * [misc]simplify: Extracting #5: cost 10 inf + 1425 1550698403.622 * * [misc]simplify: Extracting #6: cost 1 inf + 4761 1550698403.623 * * [misc]simplify: Extracting #7: cost 0 inf + 5401 1550698403.624 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))) (pow n (fma k -1/2 1/2))) 1550698403.624 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))) (pow n (fma k -1/2 1/2)))))) 1550698403.624 * * * * [misc]progress: [ 208 / 250 ] simplifiying candidate # 1550698403.624 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (* -1/2 k)))) 1550698403.624 * * [misc]simplify: iters left: 6 (8 enodes) 1550698403.629 * * [misc]simplify: iters left: 5 (27 enodes) 1550698403.638 * * [misc]simplify: iters left: 4 (30 enodes) 1550698403.650 * * [misc]simplify: iters left: 3 (34 enodes) 1550698403.659 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.659 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698403.659 * * [misc]simplify: Extracting #2: cost 8 inf + 2 1550698403.660 * * [misc]simplify: Extracting #3: cost 2 inf + 635 1550698403.660 * * [misc]simplify: Extracting #4: cost 0 inf + 1182 1550698403.660 * [exit]simplify: Simplified to (pow n (* -1/2 k)) 1550698403.660 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow n (* -1/2 k)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n 1/2)))))) 1550698403.661 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n 1/2))) 1550698403.661 * * [misc]simplify: iters left: 5 (11 enodes) 1550698403.666 * * [misc]simplify: iters left: 4 (38 enodes) 1550698403.678 * * [misc]simplify: iters left: 3 (47 enodes) 1550698403.692 * * [misc]simplify: iters left: 2 (52 enodes) 1550698403.706 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.706 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698403.707 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1550698403.707 * * [misc]simplify: Extracting #3: cost 16 inf + 86 1550698403.707 * * [misc]simplify: Extracting #4: cost 12 inf + 333 1550698403.707 * * [misc]simplify: Extracting #5: cost 6 inf + 1151 1550698403.708 * * [misc]simplify: Extracting #6: cost 1 inf + 2979 1550698403.709 * * [misc]simplify: Extracting #7: cost 0 inf + 3409 1550698403.710 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (sqrt n))) 1550698403.710 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow n (* -1/2 k)) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (sqrt n)))))) 1550698403.710 * * * * [misc]progress: [ 209 / 250 ] simplifiying candidate # 1550698403.710 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1550698403.710 * * [misc]simplify: iters left: 6 (11 enodes) 1550698403.717 * * [misc]simplify: iters left: 5 (39 enodes) 1550698403.729 * * [misc]simplify: iters left: 4 (50 enodes) 1550698403.746 * * [misc]simplify: iters left: 3 (63 enodes) 1550698403.765 * * [misc]simplify: iters left: 2 (77 enodes) 1550698403.789 * * [misc]simplify: iters left: 1 (79 enodes) 1550698403.897 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.897 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1550698403.897 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1550698403.897 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1550698403.897 * * [misc]simplify: Extracting #4: cost 16 inf + 2 1550698403.897 * * [misc]simplify: Extracting #5: cost 13 inf + 47 1550698403.898 * * [misc]simplify: Extracting #6: cost 11 inf + 147 1550698403.898 * * [misc]simplify: Extracting #7: cost 6 inf + 1482 1550698403.899 * * [misc]simplify: Extracting #8: cost 1 inf + 3429 1550698403.900 * * [misc]simplify: Extracting #9: cost 0 inf + 3859 1550698403.901 * [exit]simplify: Simplified to (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) 1550698403.901 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))))))) 1550698403.902 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))) 1550698403.902 * * [misc]simplify: iters left: 6 (12 enodes) 1550698403.917 * * [misc]simplify: iters left: 5 (40 enodes) 1550698403.937 * * [misc]simplify: iters left: 4 (49 enodes) 1550698403.965 * * [misc]simplify: iters left: 3 (54 enodes) 1550698403.981 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698403.981 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698403.981 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698403.981 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698403.981 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698403.982 * * [misc]simplify: Extracting #5: cost 11 inf + 1692 1550698403.982 * * [misc]simplify: Extracting #6: cost 1 inf + 5497 1550698403.984 * * [misc]simplify: Extracting #7: cost 0 inf + 6177 1550698403.985 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (cbrt (pow n (fma k -1/2 1/2)))) 1550698403.985 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (cbrt (pow n (fma k -1/2 1/2))))))) 1550698403.985 * * * * [misc]progress: [ 210 / 250 ] simplifiying candidate # 1550698403.985 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow n (fma -1/2 k 1/2))))) 1550698403.985 * * [misc]simplify: iters left: 6 (10 enodes) 1550698403.992 * * [misc]simplify: iters left: 5 (34 enodes) 1550698404.003 * * [misc]simplify: iters left: 4 (41 enodes) 1550698404.016 * * [misc]simplify: iters left: 3 (46 enodes) 1550698404.028 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.029 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1550698404.029 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698404.029 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1550698404.029 * * [misc]simplify: Extracting #4: cost 8 inf + 121 1550698404.029 * * [misc]simplify: Extracting #5: cost 2 inf + 1361 1550698404.030 * * [misc]simplify: Extracting #6: cost 0 inf + 2061 1550698404.030 * [exit]simplify: Simplified to (sqrt (pow n (fma -1/2 k 1/2))) 1550698404.030 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (sqrt (pow n (fma -1/2 k 1/2))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))))))) 1550698404.031 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))) 1550698404.031 * * [misc]simplify: iters left: 6 (12 enodes) 1550698404.037 * * [misc]simplify: iters left: 5 (40 enodes) 1550698404.050 * * [misc]simplify: iters left: 4 (49 enodes) 1550698404.064 * * [misc]simplify: iters left: 3 (54 enodes) 1550698404.083 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.083 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698404.083 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698404.083 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1550698404.084 * * [misc]simplify: Extracting #4: cost 18 inf + 87 1550698404.084 * * [misc]simplify: Extracting #5: cost 11 inf + 1612 1550698404.126 * * [misc]simplify: Extracting #6: cost 1 inf + 5217 1550698404.127 * * [misc]simplify: Extracting #7: cost 0 inf + 5857 1550698404.128 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (sqrt (pow n (fma k -1/2 1/2)))) 1550698404.128 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (sqrt (pow n (fma -1/2 k 1/2))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (sqrt (pow n (fma k -1/2 1/2))))))) 1550698404.128 * * * * [misc]progress: [ 211 / 250 ] simplifiying candidate # 1550698404.155 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1550698404.155 * * [misc]simplify: iters left: 4 (3 enodes) 1550698404.212 * * [misc]simplify: iters left: 3 (7 enodes) 1550698404.214 * * [misc]simplify: iters left: 2 (9 enodes) 1550698404.223 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.223 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698404.223 * [exit]simplify: Simplified to 1 1550698404.223 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* 1 (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698404.223 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698404.224 * * [misc]simplify: iters left: 6 (11 enodes) 1550698404.229 * * [misc]simplify: iters left: 5 (37 enodes) 1550698404.241 * * [misc]simplify: iters left: 4 (46 enodes) 1550698404.255 * * [misc]simplify: iters left: 3 (51 enodes) 1550698404.273 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.273 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698404.273 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698404.274 * * [misc]simplify: Extracting #3: cost 17 inf + 85 1550698404.274 * * [misc]simplify: Extracting #4: cost 15 inf + 129 1550698404.274 * * [misc]simplify: Extracting #5: cost 7 inf + 1792 1550698404.275 * * [misc]simplify: Extracting #6: cost 1 inf + 4479 1550698404.276 * * [misc]simplify: Extracting #7: cost 0 inf + 4999 1550698404.277 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698404.277 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* 1 (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2)))))) 1550698404.277 * * * * [misc]progress: [ 212 / 250 ] simplifiying candidate # 1550698404.277 * [enter]simplify: Simplifying (/ 1 1) 1550698404.277 * * [misc]simplify: iters left: 2 (2 enodes) 1550698404.279 * * [misc]simplify: iters left: 1 (6 enodes) 1550698404.281 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.281 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1550698404.282 * [exit]simplify: Simplified to 1 1550698404.282 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* 1 (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698404.282 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698404.282 * * [misc]simplify: iters left: 6 (11 enodes) 1550698404.288 * * [misc]simplify: iters left: 5 (37 enodes) 1550698404.299 * * [misc]simplify: iters left: 4 (46 enodes) 1550698404.313 * * [misc]simplify: iters left: 3 (51 enodes) 1550698404.329 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.329 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1550698404.329 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1550698404.329 * * [misc]simplify: Extracting #3: cost 17 inf + 85 1550698404.329 * * [misc]simplify: Extracting #4: cost 15 inf + 129 1550698404.330 * * [misc]simplify: Extracting #5: cost 7 inf + 1792 1550698404.331 * * [misc]simplify: Extracting #6: cost 1 inf + 4479 1550698404.331 * * [misc]simplify: Extracting #7: cost 0 inf + 4999 1550698404.332 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2))) 1550698404.332 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* 1 (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (pow n (fma k -1/2 1/2)))))) 1550698404.333 * * * * [misc]progress: [ 213 / 250 ] simplifiying candidate # 1550698404.333 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1550698404.333 * * [misc]simplify: iters left: 3 (4 enodes) 1550698404.336 * * [misc]simplify: iters left: 2 (14 enodes) 1550698404.340 * * [misc]simplify: iters left: 1 (16 enodes) 1550698404.346 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.346 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698404.346 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1550698404.347 * * [misc]simplify: Extracting #3: cost 3 inf + 43 1550698404.347 * * [misc]simplify: Extracting #4: cost 1 inf + 166 1550698404.347 * * [misc]simplify: Extracting #5: cost 0 inf + 248 1550698404.347 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1550698404.347 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (sqrt k)) (/ (pow PI (fma -1/2 k 1/2)) (/ 1 (pow n (fma -1/2 k 1/2))))))) 1550698404.348 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ 1 (pow n (fma -1/2 k 1/2)))) 1550698404.348 * * [misc]simplify: iters left: 6 (11 enodes) 1550698404.354 * * [misc]simplify: iters left: 5 (39 enodes) 1550698404.367 * * [misc]simplify: iters left: 4 (46 enodes) 1550698404.388 * * [misc]simplify: iters left: 3 (54 enodes) 1550698404.418 * * [misc]simplify: iters left: 2 (55 enodes) 1550698404.435 * * [misc]simplify: iters left: 1 (57 enodes) 1550698404.450 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.451 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1550698404.451 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1550698404.451 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1550698404.451 * * [misc]simplify: Extracting #4: cost 13 inf + 48 1550698404.451 * * [misc]simplify: Extracting #5: cost 6 inf + 1323 1550698404.452 * * [misc]simplify: Extracting #6: cost 0 inf + 3562 1550698404.453 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) 1550698404.453 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ 1 (sqrt k)) (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))))) 1550698404.453 * * * * [misc]progress: [ 214 / 250 ] simplifiying candidate # 1550698404.460 * * * * [misc]progress: [ 215 / 250 ] simplifiying candidate # 1550698404.460 * * * * [misc]progress: [ 216 / 250 ] simplifiying candidate # 1550698404.460 * * * * [misc]progress: [ 217 / 250 ] simplifiying candidate # 1550698404.468 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698404.468 * * [misc]simplify: iters left: 5 (9 enodes) 1550698404.473 * * [misc]simplify: iters left: 4 (29 enodes) 1550698404.483 * * [misc]simplify: iters left: 3 (33 enodes) 1550698404.493 * * [misc]simplify: iters left: 2 (34 enodes) 1550698404.502 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.502 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698404.502 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698404.502 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1550698404.502 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1550698404.502 * * [misc]simplify: Extracting #5: cost 8 inf + 186 1550698404.502 * * [misc]simplify: Extracting #6: cost 4 inf + 904 1550698404.503 * * [misc]simplify: Extracting #7: cost 0 inf + 2380 1550698404.503 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698404.503 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698404.504 * * * * [misc]progress: [ 218 / 250 ] simplifiying candidate # 1550698404.504 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698404.504 * * [misc]simplify: iters left: 5 (9 enodes) 1550698404.509 * * [misc]simplify: iters left: 4 (29 enodes) 1550698404.518 * * [misc]simplify: iters left: 3 (33 enodes) 1550698404.529 * * [misc]simplify: iters left: 2 (34 enodes) 1550698404.538 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.538 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698404.538 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698404.538 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1550698404.538 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1550698404.538 * * [misc]simplify: Extracting #5: cost 8 inf + 186 1550698404.539 * * [misc]simplify: Extracting #6: cost 4 inf + 904 1550698404.539 * * [misc]simplify: Extracting #7: cost 0 inf + 2300 1550698404.540 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1550698404.540 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1550698404.540 * * * * [misc]progress: [ 219 / 250 ] simplifiying candidate # 1550698404.540 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n 1/2)) 1550698404.540 * * [misc]simplify: iters left: 4 (7 enodes) 1550698404.544 * * [misc]simplify: iters left: 3 (22 enodes) 1550698404.551 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.551 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698404.551 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698404.551 * * [misc]simplify: Extracting #3: cost 7 inf + 84 1550698404.551 * * [misc]simplify: Extracting #4: cost 6 inf + 85 1550698404.551 * * [misc]simplify: Extracting #5: cost 0 inf + 813 1550698404.552 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt n)) 1550698404.552 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) (/ (cbrt (sqrt k)) (sqrt n))))) 1550698404.552 * * * * [misc]progress: [ 220 / 250 ] simplifiying candidate # 1550698404.552 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1550698404.552 * * [misc]simplify: iters left: 5 (10 enodes) 1550698404.557 * * [misc]simplify: iters left: 4 (32 enodes) 1550698404.568 * * [misc]simplify: iters left: 3 (36 enodes) 1550698404.579 * * [misc]simplify: iters left: 2 (37 enodes) 1550698404.788 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.788 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698404.788 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698404.788 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698404.788 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1550698404.788 * * [misc]simplify: Extracting #5: cost 12 inf + 87 1550698404.789 * * [misc]simplify: Extracting #6: cost 4 inf + 1066 1550698404.789 * * [misc]simplify: Extracting #7: cost 0 inf + 2782 1550698404.790 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1550698404.790 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1550698404.796 * * * * [misc]progress: [ 221 / 250 ] simplifiying candidate # 1550698404.803 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1550698404.803 * * [misc]simplify: iters left: 5 (10 enodes) 1550698404.809 * * [misc]simplify: iters left: 4 (32 enodes) 1550698404.819 * * [misc]simplify: iters left: 3 (36 enodes) 1550698404.830 * * [misc]simplify: iters left: 2 (37 enodes) 1550698404.841 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.841 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698404.841 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698404.841 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698404.842 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1550698404.842 * * [misc]simplify: Extracting #5: cost 12 inf + 87 1550698404.842 * * [misc]simplify: Extracting #6: cost 4 inf + 1066 1550698404.842 * * [misc]simplify: Extracting #7: cost 0 inf + 2622 1550698404.843 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1550698404.843 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1550698404.843 * * * * [misc]progress: [ 222 / 250 ] simplifiying candidate # 1550698404.849 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1550698404.849 * * [misc]simplify: iters left: 4 (9 enodes) 1550698404.856 * * [misc]simplify: iters left: 3 (29 enodes) 1550698404.866 * * [misc]simplify: iters left: 2 (33 enodes) 1550698404.876 * * [misc]simplify: iters left: 1 (34 enodes) 1550698404.886 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.886 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698404.886 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698404.886 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698404.887 * * [misc]simplify: Extracting #4: cost 12 inf + 4 1550698404.887 * * [misc]simplify: Extracting #5: cost 7 inf + 455 1550698404.887 * * [misc]simplify: Extracting #6: cost 0 inf + 1924 1550698404.887 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1550698404.888 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))))) 1550698404.888 * * * * [misc]progress: [ 223 / 250 ] simplifiying candidate # 1550698404.888 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n 1/2)) 1550698404.888 * * [misc]simplify: iters left: 4 (7 enodes) 1550698404.892 * * [misc]simplify: iters left: 3 (22 enodes) 1550698404.898 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.899 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698404.899 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698404.899 * * [misc]simplify: Extracting #3: cost 7 inf + 84 1550698404.899 * * [misc]simplify: Extracting #4: cost 6 inf + 85 1550698404.899 * * [misc]simplify: Extracting #5: cost 0 inf + 653 1550698404.899 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt n)) 1550698404.899 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) (/ (sqrt (sqrt k)) (sqrt n))))) 1550698404.900 * * * * [misc]progress: [ 224 / 250 ] simplifiying candidate # 1550698404.900 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1550698404.900 * * [misc]simplify: iters left: 5 (10 enodes) 1550698404.905 * * [misc]simplify: iters left: 4 (32 enodes) 1550698404.916 * * [misc]simplify: iters left: 3 (36 enodes) 1550698404.927 * * [misc]simplify: iters left: 2 (37 enodes) 1550698404.941 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.941 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698404.941 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698404.941 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698404.941 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1550698404.941 * * [misc]simplify: Extracting #5: cost 12 inf + 87 1550698404.942 * * [misc]simplify: Extracting #6: cost 4 inf + 986 1550698404.942 * * [misc]simplify: Extracting #7: cost 0 inf + 2622 1550698404.943 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1550698404.943 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1550698404.943 * * * * [misc]progress: [ 225 / 250 ] simplifiying candidate # 1550698404.943 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1550698404.943 * * [misc]simplify: iters left: 5 (10 enodes) 1550698404.957 * * [misc]simplify: iters left: 4 (32 enodes) 1550698404.964 * * [misc]simplify: iters left: 3 (36 enodes) 1550698404.982 * * [misc]simplify: iters left: 2 (37 enodes) 1550698404.993 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698404.993 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698404.993 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698404.993 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1550698404.993 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1550698404.993 * * [misc]simplify: Extracting #5: cost 12 inf + 87 1550698404.994 * * [misc]simplify: Extracting #6: cost 4 inf + 986 1550698404.994 * * [misc]simplify: Extracting #7: cost 0 inf + 2462 1550698404.995 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1550698404.995 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1550698404.995 * * * * [misc]progress: [ 226 / 250 ] simplifiying candidate # 1550698404.995 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1550698404.995 * * [misc]simplify: iters left: 4 (9 enodes) 1550698405.000 * * [misc]simplify: iters left: 3 (29 enodes) 1550698405.009 * * [misc]simplify: iters left: 2 (33 enodes) 1550698405.019 * * [misc]simplify: iters left: 1 (34 enodes) 1550698405.029 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.029 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698405.029 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698405.030 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1550698405.030 * * [misc]simplify: Extracting #4: cost 12 inf + 4 1550698405.030 * * [misc]simplify: Extracting #5: cost 7 inf + 455 1550698405.030 * * [misc]simplify: Extracting #6: cost 0 inf + 1764 1550698405.031 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1550698405.031 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))))) 1550698405.031 * * * * [misc]progress: [ 227 / 250 ] simplifiying candidate # 1550698405.031 * [enter]simplify: Simplifying (/ (sqrt k) (pow n 1/2)) 1550698405.031 * * [misc]simplify: iters left: 3 (6 enodes) 1550698405.034 * * [misc]simplify: iters left: 2 (19 enodes) 1550698405.040 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.040 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698405.040 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698405.040 * * [misc]simplify: Extracting #3: cost 4 inf + 85 1550698405.041 * * [misc]simplify: Extracting #4: cost 0 inf + 411 1550698405.041 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt n)) 1550698405.041 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ 1 (pow n (* -1/2 k)))) (/ (sqrt k) (sqrt n))))) 1550698405.041 * * * * [misc]progress: [ 228 / 250 ] simplifiying candidate # 1550698405.041 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))) 1550698405.042 * * [misc]simplify: iters left: 5 (9 enodes) 1550698405.047 * * [misc]simplify: iters left: 4 (29 enodes) 1550698405.056 * * [misc]simplify: iters left: 3 (33 enodes) 1550698405.066 * * [misc]simplify: iters left: 2 (34 enodes) 1550698405.076 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.076 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698405.076 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698405.076 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698405.076 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1550698405.076 * * [misc]simplify: Extracting #5: cost 8 inf + 186 1550698405.076 * * [misc]simplify: Extracting #6: cost 4 inf + 904 1550698405.077 * * [misc]simplify: Extracting #7: cost 0 inf + 2380 1550698405.077 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))) 1550698405.077 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))))) 1550698405.078 * * * * [misc]progress: [ 229 / 250 ] simplifiying candidate # 1550698405.078 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))) 1550698405.078 * * [misc]simplify: iters left: 5 (9 enodes) 1550698405.083 * * [misc]simplify: iters left: 4 (29 enodes) 1550698405.092 * * [misc]simplify: iters left: 3 (33 enodes) 1550698405.101 * * [misc]simplify: iters left: 2 (34 enodes) 1550698405.110 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.110 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698405.110 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1550698405.110 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698405.110 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1550698405.111 * * [misc]simplify: Extracting #5: cost 8 inf + 186 1550698405.111 * * [misc]simplify: Extracting #6: cost 4 inf + 864 1550698405.111 * * [misc]simplify: Extracting #7: cost 0 inf + 2220 1550698405.112 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))) 1550698405.112 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ 1 (sqrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))))) 1550698405.112 * * * * [misc]progress: [ 230 / 250 ] simplifiying candidate # 1550698405.112 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1550698405.112 * * [misc]simplify: iters left: 4 (8 enodes) 1550698405.116 * * [misc]simplify: iters left: 3 (26 enodes) 1550698405.124 * * [misc]simplify: iters left: 2 (30 enodes) 1550698405.133 * * [misc]simplify: iters left: 1 (31 enodes) 1550698405.144 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.145 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698405.145 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698405.145 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1550698405.145 * * [misc]simplify: Extracting #4: cost 8 inf + 103 1550698405.145 * * [misc]simplify: Extracting #5: cost 1 inf + 1173 1550698405.145 * * [misc]simplify: Extracting #6: cost 0 inf + 1522 1550698405.146 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1550698405.146 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (/ 1 1)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698405.146 * * * * [misc]progress: [ 231 / 250 ] simplifiying candidate # 1550698405.146 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1550698405.146 * * [misc]simplify: iters left: 4 (8 enodes) 1550698405.151 * * [misc]simplify: iters left: 3 (26 enodes) 1550698405.159 * * [misc]simplify: iters left: 2 (30 enodes) 1550698405.168 * * [misc]simplify: iters left: 1 (31 enodes) 1550698405.178 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.179 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698405.179 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1550698405.179 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1550698405.179 * * [misc]simplify: Extracting #4: cost 8 inf + 103 1550698405.179 * * [misc]simplify: Extracting #5: cost 1 inf + 1173 1550698405.179 * * [misc]simplify: Extracting #6: cost 0 inf + 1522 1550698405.180 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1550698405.180 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) 1) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698405.180 * * * * [misc]progress: [ 232 / 250 ] simplifiying candidate # 1550698405.180 * [enter]simplify: Simplifying (/ 1 (pow n (fma -1/2 k 1/2))) 1550698405.181 * * [misc]simplify: iters left: 4 (8 enodes) 1550698405.185 * * [misc]simplify: iters left: 3 (28 enodes) 1550698405.195 * * [misc]simplify: iters left: 2 (34 enodes) 1550698405.206 * * [misc]simplify: iters left: 1 (35 enodes) 1550698405.217 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.217 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698405.217 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698405.218 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1550698405.218 * * [misc]simplify: Extracting #4: cost 1 inf + 1321 1550698405.218 * * [misc]simplify: Extracting #5: cost 0 inf + 1363 1550698405.218 * [exit]simplify: Simplified to (/ 1 (pow n (fma -1/2 k 1/2))) 1550698405.219 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (/ (pow PI (fma -1/2 k 1/2)) (sqrt k)) (/ 1 (pow n (fma -1/2 k 1/2)))))) 1550698405.219 * * * * [misc]progress: [ 233 / 250 ] simplifiying candidate # 1550698405.219 * [enter]simplify: Simplifying (pow PI (* -1/2 k)) 1550698405.219 * * [misc]simplify: iters left: 3 (5 enodes) 1550698405.222 * * [misc]simplify: iters left: 2 (16 enodes) 1550698405.227 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.227 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698405.227 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1550698405.228 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1550698405.228 * [exit]simplify: Simplified to (pow PI (* k -1/2)) 1550698405.228 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (* k -1/2)) (/ (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (pow PI 1/2))))) 1550698405.228 * * * * [misc]progress: [ 234 / 250 ] simplifiying candidate # 1550698405.228 * [enter]simplify: Simplifying (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) 1550698405.228 * * [misc]simplify: iters left: 5 (8 enodes) 1550698405.233 * * [misc]simplify: iters left: 4 (26 enodes) 1550698405.244 * * [misc]simplify: iters left: 3 (30 enodes) 1550698405.256 * * [misc]simplify: iters left: 2 (31 enodes) 1550698405.264 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.264 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698405.264 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1550698405.264 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1550698405.264 * * [misc]simplify: Extracting #4: cost 12 inf + 1 1550698405.264 * * [misc]simplify: Extracting #5: cost 10 inf + 4 1550698405.265 * * [misc]simplify: Extracting #6: cost 5 inf + 473 1550698405.265 * * [misc]simplify: Extracting #7: cost 1 inf + 1829 1550698405.265 * * [misc]simplify: Extracting #8: cost 0 inf + 2218 1550698405.266 * [exit]simplify: Simplified to (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) 1550698405.266 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (/ (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2))))))) 1550698405.266 * * * * [misc]progress: [ 235 / 250 ] simplifiying candidate # 1550698405.266 * [enter]simplify: Simplifying (sqrt (pow PI (fma -1/2 k 1/2))) 1550698405.266 * * [misc]simplify: iters left: 3 (7 enodes) 1550698405.269 * * [misc]simplify: iters left: 2 (23 enodes) 1550698405.276 * * [misc]simplify: iters left: 1 (27 enodes) 1550698405.283 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.283 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1550698405.283 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1550698405.283 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1550698405.283 * * [misc]simplify: Extracting #4: cost 8 inf + 4 1550698405.284 * * [misc]simplify: Extracting #5: cost 2 inf + 782 1550698405.284 * * [misc]simplify: Extracting #6: cost 0 inf + 1360 1550698405.284 * [exit]simplify: Simplified to (sqrt (pow PI (fma k -1/2 1/2))) 1550698405.284 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (sqrt (pow PI (fma -1/2 k 1/2))))))) 1550698405.284 * * * * [misc]progress: [ 236 / 250 ] simplifiying candidate # 1550698405.284 * * * * [misc]progress: [ 237 / 250 ] simplifiying candidate # 1550698405.285 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1550698405.285 * * [misc]simplify: iters left: 2 (6 enodes) 1550698405.288 * * [misc]simplify: iters left: 1 (20 enodes) 1550698405.294 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.294 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698405.294 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698405.294 * * [misc]simplify: Extracting #3: cost 6 inf + 4 1550698405.294 * * [misc]simplify: Extracting #4: cost 1 inf + 473 1550698405.294 * * [misc]simplify: Extracting #5: cost 0 inf + 742 1550698405.294 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1550698405.294 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (/ (pow PI (fma -1/2 k 1/2)) (sqrt k)) (pow n (fma -1/2 k 1/2))))) 1550698405.295 * * * * [misc]progress: [ 238 / 250 ] simplifiying candidate #real (real->posit16 (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))))> 1550698405.295 * * * * [misc]progress: [ 239 / 250 ] simplifiying candidate # 1550698405.295 * [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)))) 1550698405.295 * * [misc]simplify: iters left: 6 (18 enodes) 1550698405.305 * * [misc]simplify: iters left: 5 (73 enodes) 1550698405.460 * * [misc]simplify: iters left: 4 (165 enodes) 1550698405.545 * * [misc]simplify: iters left: 3 (439 enodes) 1550698405.825 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698405.826 * * [misc]simplify: Extracting #1: cost 58 inf + 0 1550698405.827 * * [misc]simplify: Extracting #2: cost 163 inf + 45 1550698405.830 * * [misc]simplify: Extracting #3: cost 140 inf + 3746 1550698405.838 * * [misc]simplify: Extracting #4: cost 30 inf + 25324 1550698405.860 * * [misc]simplify: Extracting #5: cost 0 inf + 31860 1550698405.880 * * [misc]simplify: Extracting #6: cost 0 inf + 31595 1550698405.900 * [exit]simplify: Simplified to (fma (* (sqrt n) -1/2) (* k (log n)) (fma (* (sqrt n) 1/8) (* (* k (log n)) (* k (log n))) (sqrt n))) 1550698405.900 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (fma (* (sqrt n) -1/2) (* k (log n)) (fma (* (sqrt n) 1/8) (* (* k (log n)) (* k (log n))) (sqrt n))))))) 1550698405.900 * * * * [misc]progress: [ 240 / 250 ] simplifiying candidate # 1550698405.901 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1550698405.901 * * [misc]simplify: iters left: 6 (12 enodes) 1550698405.909 * * [misc]simplify: iters left: 5 (52 enodes) 1550698405.928 * * [misc]simplify: iters left: 4 (104 enodes) 1550698405.965 * * [misc]simplify: iters left: 3 (231 enodes) 1550698406.099 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698406.099 * * [misc]simplify: Extracting #1: cost 20 inf + 0 1550698406.099 * * [misc]simplify: Extracting #2: cost 69 inf + 74 1550698406.100 * * [misc]simplify: Extracting #3: cost 94 inf + 414 1550698406.103 * * [misc]simplify: Extracting #4: cost 46 inf + 6536 1550698406.109 * * [misc]simplify: Extracting #5: cost 0 inf + 14198 1550698406.116 * * [misc]simplify: Extracting #6: cost 0 inf + 14025 1550698406.125 * * [misc]simplify: Extracting #7: cost 0 inf + 14024 1550698406.131 * [exit]simplify: Simplified to (exp (* (fma k -1/2 1/2) (log n))) 1550698406.131 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (exp (* (fma k -1/2 1/2) (log n))))))) 1550698406.132 * * * * [misc]progress: [ 241 / 250 ] simplifiying candidate # 1550698406.132 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1550698406.132 * * [misc]simplify: iters left: 6 (12 enodes) 1550698406.139 * * [misc]simplify: iters left: 5 (46 enodes) 1550698406.154 * * [misc]simplify: iters left: 4 (86 enodes) 1550698406.191 * * [misc]simplify: iters left: 3 (222 enodes) 1550698406.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698406.307 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1550698406.307 * * [misc]simplify: Extracting #2: cost 82 inf + 72 1550698406.308 * * [misc]simplify: Extracting #3: cost 132 inf + 513 1550698406.310 * * [misc]simplify: Extracting #4: cost 77 inf + 8948 1550698406.318 * * [misc]simplify: Extracting #5: cost 6 inf + 25351 1550698406.329 * * [misc]simplify: Extracting #6: cost 0 inf + 26257 1550698406.340 * * [misc]simplify: Extracting #7: cost 0 inf + 26187 1550698406.351 * [exit]simplify: Simplified to (exp (* (fma k -1/2 1/2) (log n))) 1550698406.351 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (exp (* (fma k -1/2 1/2) (log n))))))) 1550698406.351 * * * * [misc]progress: [ 242 / 250 ] simplifiying candidate # 1550698406.351 * [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)))) 1550698406.352 * * [misc]simplify: iters left: 6 (18 enodes) 1550698406.362 * * [misc]simplify: iters left: 5 (73 enodes) 1550698406.387 * * [misc]simplify: iters left: 4 (156 enodes) 1550698406.473 * * [misc]simplify: iters left: 3 (419 enodes) 1550698406.781 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698406.781 * * [misc]simplify: Extracting #1: cost 64 inf + 0 1550698406.783 * * [misc]simplify: Extracting #2: cost 169 inf + 45 1550698406.786 * * [misc]simplify: Extracting #3: cost 142 inf + 4101 1550698406.800 * * [misc]simplify: Extracting #4: cost 37 inf + 24927 1550698406.821 * * [misc]simplify: Extracting #5: cost 0 inf + 32694 1550698406.843 * * [misc]simplify: Extracting #6: cost 0 inf + 32341 1550698406.866 * [exit]simplify: Simplified to (* (fma (* k (log PI)) -1/2 (fma (* (* k (log PI)) (* k (log PI))) 1/8 1)) (sqrt PI)) 1550698406.866 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (* (fma (* k (log PI)) -1/2 (fma (* (* k (log PI)) (* k (log PI))) 1/8 1)) (sqrt PI)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698406.866 * * * * [misc]progress: [ 243 / 250 ] simplifiying candidate # 1550698406.866 * [enter]simplify: Simplifying (pow PI (fma -1/2 k 1/2)) 1550698406.867 * * [misc]simplify: iters left: 2 (6 enodes) 1550698406.870 * * [misc]simplify: iters left: 1 (20 enodes) 1550698406.877 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698406.877 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1550698406.877 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1550698406.877 * * [misc]simplify: Extracting #3: cost 6 inf + 4 1550698406.877 * * [misc]simplify: Extracting #4: cost 1 inf + 473 1550698406.878 * * [misc]simplify: Extracting #5: cost 0 inf + 742 1550698406.878 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1550698406.878 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698406.878 * * * * [misc]progress: [ 244 / 250 ] simplifiying candidate # 1550698406.878 * [enter]simplify: Simplifying (exp (* (log PI) (fma -1/2 k 1/2))) 1550698406.879 * * [misc]simplify: iters left: 4 (8 enodes) 1550698406.883 * * [misc]simplify: iters left: 3 (30 enodes) 1550698406.893 * * [misc]simplify: iters left: 2 (42 enodes) 1550698406.907 * * [misc]simplify: iters left: 1 (75 enodes) 1550698406.968 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1550698406.968 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1550698406.968 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1550698406.968 * * [misc]simplify: Extracting #3: cost 25 inf + 811 1550698406.970 * * [misc]simplify: Extracting #4: cost 5 inf + 3754 1550698406.971 * * [misc]simplify: Extracting #5: cost 0 inf + 4546 1550698406.973 * [exit]simplify: Simplified to (exp (* (fma -1/2 k 1/2) (log PI))) 1550698406.973 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (/ (exp (* (fma -1/2 k 1/2) (log PI))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1550698406.974 * * * * [misc]progress: [ 245 / 250 ] simplifiying candidate # 1550698406.974 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1550698406.974 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698406.974 * * * * [misc]progress: [ 246 / 250 ] simplifiying candidate # 1550698406.975 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1550698406.975 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698406.975 * * * * [misc]progress: [ 247 / 250 ] simplifiying candidate # 1550698406.975 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1550698406.975 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1550698406.975 * * * * [misc]progress: [ 248 / 250 ] simplifiying candidate # 1550698406.976 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (+ (* +nan.0 (* n (* PI k))) (- (* +nan.0 (* n PI))))))))))) 1550698406.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) +nan.0)) 1550698406.976 * * * * [misc]progress: [ 249 / 250 ] simplifiying candidate # 1550698406.976 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1550698406.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) +nan.0)) 1550698406.977 * * * * [misc]progress: [ 250 / 250 ] simplifiying candidate # 1550698406.977 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))))))))) 1550698406.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) +nan.0)) 1550698406.977 * * * [misc]progress: adding candidates to table 1550698414.108 * [misc]progress: [Phase 3 of 3] Extracting. 1550698414.108 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1550698414.113 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1550698414.113 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1550698414.192 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1550698414.277 * * * [misc]regime: Found split indices: #